The magnitude of the acceleration of the outside wall the instant before it reaches maximum speed is 948 ft/s^2.
What is acceleration?Acceleration is the rate of change of velocity over time. It is the increase in speed or the decrease in the time taken to cover a particular distance.
The equation describing the velocity of the outside wall of the washer is a linear one, given by the equation:
v(t) = at
where a is the acceleration of the wall and t is the time.
We know that the velocity of the wall when it reaches maximum speed is 4 revolutions per second. We can convert this to linear velocity by multiplying it by the circumference of the washer, 2πr, where r is the radius of the washer (1.5 feet). This gives us a final velocity of 9π ft/s
We can now solve for the acceleration of the wall. We know the final velocity and we can set the initial velocity to 0 due to the fact that the washer is starting from rest. So we can solve for the acceleration using the equation:
a = v(t) / t
Plugging in our values, we get:
a = 9π ft/s / t
Now we can solve for the time it takes to get the washer to maximum speed. We know that the final velocity is 9π ft/s and the acceleration is a. So we can solve for the time by rearranging the equation to get:
t = v(t) / a
Plugging in our values, we get:
t = 9π ft/s / a
Solving for t, we get:
t = 9π ft/s / 948 ft/s^2
Simplifying, we get:
t = 7.54 s
Therefore, it takes 7.54 seconds for the washer to reach its maximum speed. The magnitude of the acceleration of the outside wall the instant before it reaches maximum speed is 948 ft/s^2.
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Skills, which include balance and reaction time, are the talents or abilities that allow one to perform task.
True
False
True. Skills, which include balance and reaction time, are the talents or abilities that allow one to perform task.
What are skills?
Skills are the ability to perform a task due to training and experience.
The term skill is used to describe specific action or level of performance of an individual.
There are three types of skills and they include;
functional, self-management and special knowledge.Functional skills are abilities or talents that are inherited at birth and developed through experience and learning
Thus, we can conclude that Skills, which include balance and reaction time, are the talents or abilities that allow one to perform task.
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A toy car of mass 2-kg travels along a horizontal surface with negligible friction at a speed of 1.0 m/s. The car then collides with a vertical wall. The wall applies a force of magnitude 20 N for 0.2 s on the toy car. Which of the following predicts the motion of the toy care immediately after the collision?
A: The speed of the car will increase, and the car will travel in the opposite direction.
B: The speed of the car will decrease, and the car will travel in the opposite direction.
C: The speed of the car will remain the same, and the car will travel in the opposite direction.
D: The car will stop and remain motionless.
The speed of the car will remains the same but the direction will be changed, if the force applied by the wall is 20 N for 0.2 s.
Mass of the toy car, m = 2 kg
Initial velocity of the car, v₁ = 1 m/s
The force applied by the car, F = 20 N
Duration of the applied force, Δt = 0.2 s
So the impulse applied by the wall, = F×Δt = 20 × 0.2 = 4 N-s
We know, impulse = change in momentum
Let the final velocity of the car is v, then
4 = m₁v₁ - m₁v₂
4 = 2 × 1 - 2 × v₂
4 = 2 - 2v₂
v₂ = (4-2)/-2 = -1 m/s
So v₂ = -1 m/s
A negative sign indicates that the direction of the car will be opposite to the initial velocity.
Hence the correct option is C.
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An empty Erlenmeyer flask weighs 246.3 g. When filled with water (density = 1.00 g/cm^3), the flask and its contents weigh 495.0 g.(a) What is the flask's volume? (b) How much does the flask weigh when filled with chloroform (d = 1.48 g/cm^3)?
The volume of the Erlenmeyer flask when filled with water is 249 cm^3.
What is volume?Volume is a measure of the amount of three-dimensional space an object occupies. It is measured in cubic units, such as cubic centimeters (cm3) or cubic meters (m3). Volume is an important concept in many areas of science, including physics, chemistry and geology. It can also be used to describe the capacity of a container, such as a bottle, or the amount of liquid it can hold. Knowing the volume of a substance or object is important in many everyday situations, from measuring food portions to calculating the amount of paint needed to cover a wall.
This is calculated by subtracting the weight of the empty flask (246.3 g) from the weight of the flask filled with water (495.0 g) and then dividing by the density of water (1.00 g/cm^3).
When filled with chloroform, the flask and its contents weigh 581.1 g. To calculate this, we multiply the density of chloroform (1.48 g/cm^3) by the volume of the flask (249 cm^3), which gives us 371.52 g. We then add the weight of the flask (246.3 g) to the weight of the chloroform (371.52 g), which gives us a total of 617.82 g. The weight of the flask when filled with chloroform is 581.1 g.
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Two point charges are arranged as shown In which region could a third charge +1 C be placed s0 that the net electrostatic force on it is Zero? Ionly III only and II only II only
It might be limited to Region I exclusively. The electric field caused by the charge +2C is directed away from the charge, but the one caused by the charge -4C is directed towards it.
What is charge?When put in an electromagnetic field, the physical feature of matter known as electric charge causes that matter to experience a force. A positive or negative electric charge can exist. Like charges repel one another, whereas unlike charges attract one another. A neutral object is one that does not have any net charge. Charge, also known as electric charge, electrical charge, or electrostatic charge, and denoted by the symbol q, is a property of matter that reflects the amount to which it contains more or less electrons than protons.
Here,
It may only be available in Region I. The electric field caused by charge +2C is directed away from the charge, but the one caused by charge -4C is directed towards it.
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The drawing shows two situations in which charges are placed on a and y axes. They are located at the same distance if 6.80cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin
The electric field strength from the origin is 1.95 x 10¹² q ( N/C ).
What is electric field?
The electric field of a charged particle is the region of space where the influence of electric force is felt.
Mathematically, the formula for electric field strength is given as;
E = kq / r²
where;
k is the Coulomb's constantq is the magnitude of the charger is the position of the chargeThe electric field strength from the origin is calculated as follows;
E = ( 9 x 10⁹ x q ) / ( 0.068 m )²
E = 1.95 x 10¹² q ( N/C )
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evaluate the numerical value of the final momentum of the t-shirt using the results from parts a and b. view available hint(s)
The final momentum of the t-shirt can be evaluated by multiplying the mass of the t-shirt (from part a) by its final velocity (from part b). Final momentum = (1.0 kg) x (20.0 m/s) = 20 kg m/s.
What is final momentum?Final momentum is the momentum of an object after it has been acted upon by an external force. It is calculated by taking the initial momentum of an object and adding or subtracting the force of the external force to determine the final momentum. The final momentum is equal to the initial momentum plus the change in momentum caused by the external force. Final momentum can be calculated using the equation pfinal = pinitial + FΔt, where pfinal is the final momentum, pinitial is the initial momentum, F is the force of the external force, and Δt is the change in time caused by the force.
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two identical springs are attached to two different masses, ma and mb , where ma is greater than mb . the masses lie on a frictionless surface. both springs are compressed the same distance, d , as shown in the figure. which of the following statements descibes the energy required to compress spring a and spring b?
The amount of energy required to compress spring A and spring B would be the same.
What is energy?Energy is the capacity to do work. It is the ability to cause change and is found in many forms, including chemical, electrical, mechanical, nuclear, radiant, and thermal energy. It is often referred to as the "lifeblood" of our modern society, as it is necessary for everything from powering homes and businesses, to providing energy for transportation and communication.
This is because the springs are identical and the amount of compression (d) is the same. The masses of the objects don't affect the energy required to compress the springs since the objects are lying on a frictionless surface and will not resist the springs being compressed.
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A pinball bounced around its machine before resting between two bumpers. Before the ball came to rest, its displacement was recorded as a series of vectors. All the angles are measured counterclockwise from the horizontal ‑axis.
⃗ 1:83.0 cm at 90.0∘
⃗ 2:57.0 cm at 159∘
⃗ 3:67.0 cm at 221∘
Find the magnitude and direction of the ball's total displacement.
The magnitude and direction of the ball's total displacement is 119.6 cm and 29.8⁰ respectively.
What is the magnitude of the ball's total displacement?
The magnitude of the ball's total displacement is calculated by applying the following formula.
The sum of the horizontal displacement is calculated as follows;
∑X = 83 cm x cos (90) + 57 cm x cos (159) + 67 cm x cos (221)
∑X = -103.78 cm
The sum of the vertical displacement is calculated as follows;
∑Y = 83 cm x sin (90) + 57 cm x sin (159) + 67 cm x sin (221)
∑Y = 59.47 cm
The magnitude of the displacement is calculated as follows;
d = √ [ ( -103.78 )² + ( 59.47)² ]
d = 119.6 cm
The direction of the displacement is calculated as follows;
θ = arc tan ( 59.47 / 103.78 )
θ = 29.8⁰
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T/F deciding that a process that fills bottles with soda is functioning properly by checking the weights for a sample of bottles is an example of inferential statistics.
Inferential statistics is used to determine whether a process that fills bottles with soda is working properly by weighing a sample of bottles, so the given statement is true.
What is Inferential statistics?Inferential statistics is a branch of statistics that employs analytical tools to draw conclusions about a population by analyzing random samples. Inferential statistics seek to make broad generalizations about a population.Descriptive statistics are statistics that summarize the characteristics of a data set. Inferential statistics allow you to test a hypothesis or determine whether your data can be generalized to a larger population.Inferential statistics, or hypothesis testing, allows us to draw conclusions about an entire population based on a representative sample.Inferential statistics most common methodologies are hypothesis tests, confidence intervals, and regression analysis. Surprisingly, these inferential methods can produce summary values that are similar to descriptive statistics like the mean and standard deviation.To learn more about Inferential statistics refer to :
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In the video, the loaded car accelerated less than the unloaded car when the same force was applied. This was noticeable because the loaded car
Choose one or more:
A. was traveling faster after a little time had passed.
B. reached the end of the track more slowly.
C. reached the end of the track faster.
D. was traveling less quickly after a little time had passed.
When the same force was supplied to the loaded and unloaded cars, the loaded car accelerated less, which was visible since the laden car arrived at the track's finish more slowly. and after a little while, she started moving less swiftly. so Option B and option Dare correct
The rate at which an object's velocity with respect to time changes is referred to as the mechanics of acceleration. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it.According to Newton's Second Law, an object's acceleration is determined by a combination of two factors: its mass, which depends on the materials it is made of, and the net balance of all external forces acting on it. The magnitude of an object's acceleration is inversely proportional to the mass of the object.
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In the late 1960's and 1970's the Apollo program landed many astronauts on the Moon. On one of
the trips the astronauts left a corner reflector. This is a special mirror which reflects light exactly in
the direction from where it came. This enabled scientists on Earth to determine the distance to the
Moon within a few centimeters. This is one of the most accurate measurements ever made between
the Earth and the Moon.
In one experiment, scientists on earth shone a laser beam onto the corner reflector and measured
how long it took for the beam to return to Earth. The time they measured was 2.63 seconds. How
many kilometers away was the moon at the time of the experiment?
"laser beam" can be handled as "light".
Speed of light in vacuum = 300,000 km/sec
Distance = (speed) x (time)
Distance light traveled = (300,000 km/sec) x (2.63 sec)
Distance the light traveled = 789,000 km
But this is DOUBLE the distance to the moon, because the laser light had to GO and COME BACK in order to be detected back on Earth.
So the distance to the moon was (1/2) of (789,000 km) = 394,500 km
which of the following helps explain why the buoyant force exerted on an object submerged in a fluid on earth is always directed upward? a. the buoyant force forms a newton's third law pair with the force of gravity on the object
b. the fluid pressure exerts a force that balances the weight of the object, which mean pressure is only exerted upward on the object
c. fluid pressure is exerted on all surfaces of an object and increases with depth. the horizontal forces due to the pressure cancel, but the vertical forces do not d. the surface tension between fluid molecules tends to resist the object moving downward through the surface of the fluid. the resistive force causes a net force upward
The buoyant force forms a newton's third law pair with the force of gravity on the object helps explain why the buoyant force exerted on an object submerged in a fluid on earth is always directed upward.
What is buoyancy, exactly?The term "buoyancy" refers to the upward push a liquid applies to an object submerged in it. An upward force is imposed on an object when you try to submerge it in water, and this force grows as the object is pushed deeper. The tendency of a fluid to exert an upward force on an item that is partially or completely submerged in that fluid is known as buoyancy or a buoyant force. Newton is the SI unit for buoyant force. An object in water experiences an upward force known as buoyancy that is equal to the weight of the water that the object has displaced.
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A cheetah is running at 40 m/s and catches his prey at 12 m/s. The chase took 30s. What is the
acceleration?
Formula for acceleration:
[tex]a=\dfrac{Vf-Vi}{t}[/tex]
acceleration(measured in m/s^2) = Final velocity(measured in m/s) - Initial velocity(measured in m/s) / time(measured in seconds)
__________________________________________________________
Given:
[tex]Vi=40m/s[/tex]
[tex]Vf=12m/s[/tex]
[tex]t=30s[/tex]
[tex]a=?[/tex]
__________________________________________________________
Finding acceleration:
[tex]a=\dfrac{Vf-Vi}{t}[/tex]
[tex]a=\dfrac{12-40}{30}[/tex]
__________________________________________________________
Answer:
[tex]\fbox{a = -0.93 m/s squared}[/tex]
A crate of mass m1 = 14.00 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2 = 16.30 kg. The crates move 1.61 m, starting from rest.
Find the work done by gravity on the sliding crate.
The work done by gravity on the sliding crate is 176.6 J.
What is the work done by gravity on the sliding crate?
The work done by gravity on the sliding crate is calculated by applying the following formula.
W = Fd cosθ
W = mg x d cosθ
where;
m is the mass of the crateg is acceleration due to gravityd is the displacement of the crateθ is the angle of inclination of the ropeW = ( 14 kg x 9.8 m/s² ) x ( 1.61 m ) x cos ( 36.9 )
W = 176.6 J
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which substances could be present in earths spectrum, but it is difficult to say that they are definitely present? why?
Traces gases and heavy elements are the examples of the substances that could be in the earths spectrum. They cannot be detected because the technology to do this is not available.
Which substances could be present in earths spectrum?There are several substances that could be present in Earth's spectrum, but it is difficult to say that they are definitely present due to the limitations of current technology and methods for detecting and analyzing these substances. Some examples include:
Trace gases: Gases such as methane, nitrous oxide, and carbon monoxide can be present in small concentrations in the Earth's atmosphere, but it is difficult to detect them with high accuracy due to the limitations of current sensing technology.
Heavy elements: Elements such as gold, platinum, and mercury are present in trace amounts in the Earth's crust, but it is difficult to detect them using current analytical methods.
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A stone is dropped from rest at an initial height h above the surface of the earth. Show that the speed with which it strikes the ground is v= 2gh. Let x(t) be the position of the stone above the ground. The differential equation ____ relates the position of the stone to the acceleration due to gravit
A stone is dropped from rest at an initial height h above the surface of the earth. Show that the speed with which it strikes the ground is v= 2gh.
Let x(t) be the position of the stone above the ground.
The differential equation x'= - g relates the position of the stone to the acceleration due to gravity.
Differential Equation DefinitionA differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable)
dy/dx = f(x)
Here “x” is an independent variable and “y” is a dependent variable
For example, dy/dx = 5x
A differential equation contains derivatives which are either partial derivatives or ordinary derivatives. The derivative represents a rate of change, and the differential equation describes a relationship between the quantity that is continuously varying with respect to the change in another quantity. There are a lot of differential equations formulas to find the solution of the derivatives.
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Using an ohmmeter, a student measures the resistance between various points on his body. He finds that the resistance between two points on the same finger is about the same as the resistance between two points on opposite hands—both are several hundred thousand ohms. Furthermore, the resistance decreases when more skin is brought into contact with the probes of the ohmmeter. Finally, there is a dramatic drop in resistance (to a few thousand ohms) when the skin is wet. Explain these observations and their implications regarding skin and internal resistance of the human bo
The resistance between two points on the same finger is likely due to the resistance of the skin and the small amount of muscle and fat that is present in the finger.
What is the cause of resistance between two points on opposite hands?The resistance between two points on opposite hands is likely due to the resistance of the skin and the larger amount of muscle and fat that is present in the hand. The resistance decreases when more skin is brought into contact with the probes of the ohmmeter because more skin in contact means more surface area for the current to flow through, thus reducing the resistance. The dramatic drop in resistance when the skin is wet is likely due to the fact that water is a better conductor than dry skin. This observation suggests that the resistance of the human body is largely due to the resistance of the skin, and that the internal resistance of the body (i.e., the resistance of muscles, bones, etc.) is relatively low in comparison.
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An object moves from location D to location F on a trajectory (dotted line) in the direction indicated; arrows representing the momentum at locations D, E, and F. ' EP 9 zero magnitude 10 more info needed (a 15pts) Using the numbered direction arrows shown, indicate (by number) which direction arrow best represents the direction of the quantities listed below. If the quantity has zero magnitude or cannot be determined, indicate using the corresponding number listed below. • The position vector at location D • The change in position the displacement) between location D and location F • The change in velocity between location D and location F_ • The change in momentum between location D and location F • The average net force between location D and location F
• The position vector at location D: 1
• The change in position (the displacement) between location D and location F: 3
• The change in velocity between location D and location F: 2
• The change in momentum between location D and location F: 4
• The average net force between location D and location F: EP (zero magnitude)
The position vector at location D is represented by arrow 1, as it indicates the location of the object at that point. The change in position, or displacement, between location D and location F is represented by arrow 3, as it shows the overall change in position of the object from one location to the other. The change in velocity between location D and location F is represented by arrow 2, as it shows the overall change in the object's velocity during that time.
The change in momentum between location D and location F is represented by arrow 4, as it shows the overall change in the object's momentum during that time. The average net force between location D and location F cannot be determined with the information given.
The complete question is given below in the image.
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assume that a person skiing high in the mountains at an altitude of 15,000 ft takes in the same volume of air with each breath as she does while walking at sea level. determine the ratio of the mass of oxygen inhaled for each breath at this high altitude compared to that at sea level.
The ratio of the mass of oxygen inhaled for each breath at high altitude and at sea level is 0.629.
Let the mass of oxygen inhaled at sea level, = m₀
Let the mass of oxygen inhaled at 15000 ft, = m₁₅
The volume of air inhaled is same for both case, = v
Density of the air at mean seal level, ρ₀ = 2.337 × 10⁻³ sl/m³
Density of the air at 15000 ft, ρ₁₅ = 1.469 × 10⁻³ sl/m³
m₀ = ρ₀V, m₁₅ = ρ₁₅V
m₁₅/m₀ = ρ₁₅V/ρ₀V
m₁₅/m₀ = (1.469 × 10⁻³)/(2.337 × 10⁻³)
m₁₅/m₀ = 0.629
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in the circuits shown, the brightness of the bulbs is observed to compare as follows: a is the brightest, and b and c are equally bright and dimmer than A (A>B=C)
Why is bulb A brighter than bulb B or C?
Because the voltage is greater across A than across B or C
Because the current is greater through A than through B or C
Because the circuit containing bulb A has less overall resistance
Because there is more curren from the battery in the circuit containing bulb A Because bulbs B and C only get half the current from the battery, while A gets all of it
The reason bulb A is brighter than bulbs B and C is because it has a higher voltage and a lower resistance than either of them.
What is lower resistance?Lower resistance is the measure of how easily an electrical current can flow through an object or circuit. It refers to how much opposition a material presents to the flow of an electric current. The lower the resistance of a material, the easier it is for an electric current to flow through it, and the higher its conductivity.
This is because the circuit containing bulb A has the least overall resistance, meaning more current is able to flow through it and it is able to operate at a higher voltage. This means that the current is able to provide more energy to the bulb, causing it to be brighter than bulbs B and C.
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21. A 110-V household circuit that contains an
1800-W microwave, a 1000-W toaster, and an
800-W coffeemaker is connected to a 20-A fuse.
Determine the current. Will the fuse melt if the
microwave and the coffeemaker are both on?
The final current will be 32.7 A and Yes, the fuse will melt if the microwave and the coffeemaker are both on at the same time.
How to determine current and whether or not a fuse has melted?
To determine the current, we can use Ohm's Law, which states that current (I) is equal to power (P) divided by voltage (V).
I = P/V
The total power of the three appliances is 1800 W + 1000 W + 800 W = 3600 W.
Therefore, the current is:
I = 3600 W / 110 V = 32.7 A
The fuse is rated at 20 A, so it will melt if the current exceeds 20 A. Since the current is 32.7 A, the fuse will melt if the microwave and the coffeemaker are both on at the same time.
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The basketball passed through the hoop even though it barely cleared the hands of the player B who attempted to block it Suppose that s 4.5 ft . Neglect the size of the ball. (Figure 1) Part A Determine the magnitude vA of its initial velocity Express your answer to three significant figures and include the appropriate units Value Units Submit Request Answer ▼ Part B Determine the height h of the ball when it passes over player B Express your answer to three significant figures and include the appropriate units
A) The initial velocity of the ball is 20.14 m/s, B) the height of the ball when it passes over player B is 11.36 ft.
Let the initial velocity of the basketball, = v
Horizontal component, = vcos30 = 0.866 v
Vertical component, = vsin30 = 0.5 v
Horizontal distance travelled by the ball, H = 25 + 4.5 = 29.5 ft
We know vcos30 × t = 29.5
vt = 29.5/0.866 = 34.06 ft
vt = 34.06
Now by the third equation of motion, vertical height(10 - 7 =3 ft) travelled by the vertical component of the ball
(10 - 7) = vsin30 × t - 0.5gt²
3 = 0.5vt - 0.5 × 9.81 × t²
we know vt = 34.06
3 = 0.5 × 34.06 - 4.9t²
t = 1.69 sec
So, v = 34.06/1.69 = 20.14 m/s
Now part B,
Height of the ball above the player B, = h
horizontal range, R = 25 ft
Time taken to reach 25 ft = 25/(20.14 cos30)
= 25/17.44 = 1.43 sec
vertical distance travelled by the ball in 1.43 sec,
d = 20.14×sin30×1.43 - 0.5 × 9.81 × 1.43²
d = 4.37 ft
Total height above the ground, H = 7 + 4.37 = 11.34 ft.
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(b) In an experiment to magnetize two substances P and Q using electric current, two curves(graphs) were obtained as shown in figure 1 Magnetisation Magnetising Current I Fig. 1 explain the difference between p and q with reference to domain theory
Single-touch method: The magnetic substance is moved from one end to the other by rubbing a magnet along it.
what are magnetic substance?Double-touch technique: Placed next to one another in the middle of the magnetic substance, the opposite poles of two magnets are stroked along it in the opposite direction.Making temporary magnets by induction is a technique that uses a magnetic field to do so. Once the magnetising force is no longer there, the magnetic qualities vanish.(A permanent magnet is brought close but not in contact with the magnetic substance.) Electromagnets are created utilising electric current and are referred to as such. It is a passing magnet that loses its magnetic properties when the current is cut off. If specific materials, such as steel and particular alloys, are put in a coil and a powerful current is run through it, electromagnets can turn into permanent magnets.To learn more about magnetic refer to:
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In our warmup today we're looking closer at our aquariums. We need to get them clean so we can start a new aquarium setup , but there's something on the inside of the glass, the outside of the hood, and the outside of the filter.
1. What is that white residue on our aquariums?
2. How does it form?
3. Where does it come from?
4. How do we get rid of it?
The white residue on aquariums could be mineral , such as hard water stains, and it formed as a result of the hard substance remaining after water evaporation. It is from the water, and to remove it, a white vinegar and water mixture should be used.
What is the significance of the aquarium?Its significance includes that an aquarium can be a place for people to learn about aquatic animals, for the conservation of some animals, for entertainment, and also for use in research proposals, etc.
Hence, the white residue on aquariums could be mineral , such as hard water stains, and it formed as a result of the hard substance remaining after water evaporation. It is from the water, and to remove it, a white vinegar and water mixture should be used.
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A kangaroo can jump over an object 2.50 m high. (a) Calculate its vertical speed when it leaves the ground, in meters per second(b) How long is it in the air?
Since the velocity at the highest location is 0, we are searching for the beginning velocity. The kangaroo will thus be moving vertically at a speed of 7 m/s when it leaves the ground.
The formula v = may be used to determine a kangaroo's vertical speed as it takes off from the ground (2gh). where h is the height of the kangaroo's leap, g is the acceleration caused by gravity (9.8 m/s2), and v is the vertical speed (2.5 m). After entering the numbers, we obtain the following: v = (49) = 7 m/s (2 * 9.8 * 2.5)
Therefore, the kangaroo's vertical speed when it lifts off the ground is 7 metres per second.
The equation t = (2h/g), where t is the duration in the air and h is the height the kangaroo is jumping from, may be used to determine how long it has been in the air (2.5 m). The values are entered, and the result is: t = ((2 * 2.5 / 9.8)) = (0.51) = 0.71 s.
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When a metal surface is illuminated with light of wavelength 437 nm, the stopping potential for photoelectrons is 1.67 V. (c = 3.00 × 108 m/s, h = 6.626 × 10-34 J ∙ s, e = -1.60 × 10-19 C, 1 eV = 1.60 × 10-19 J, mel = 9.11 × 10-31 kg)
(a) What is the work function of the metal, in eV?
(b) What is the maximum speed of the ejected electrons?
(a) Work function of the metal is 2.74 eV. (b) maximum speed of the ejected electrons is 1.15 x 10^6 m/s (1.15 million m/s)
What is work function?The work function is the minimum energy required to remove an electron from the surface of a metal.
AS, Work function (Φ) = hν - eV0
(V0) is stopping potential and (ν) is the frequency of the incident light
Given, wavelength of the incident light is 437 nm,
ν = c / λ = 3.00 x 108 m/s / 437 x 10-9 m = 6.87 x 1014 Hz
Hence, Φ = hν - eV0 = 6.626 x 10-34 J ∙ s * 6.87 x 1014 Hz - 1.60 x 10-19 C * 1.67 V = 4.36 x 10-19 J = 2.74 eV
So the work function of the metal is 2.74 eV.
(b) Maximum speed of the ejected electrons can be calculated using the formula: Vmax = √(2eV0/mel)
Vmax is the maximum speed of the ejected electrons, e is charge of an electron, V0 is stopping potential and mel is mass of the electron.
Vmax = √(2 * -1.60 x 10^-19 C * 1.67 V / 9.11 x 10^-31 kg) = 1.15 x 10^6 m/s
So, the maximum speed of the ejected electrons is 1.15 x 10^6 m/s (1.15 million m/s)
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Dependent, immature children who frequently misbehave were most likely raised by _____ parents.
(a) authoritarian
(b) authoritative
(c) generative
(d) overly permissive.
Answer: d
Btw if you get it wrong, sry.. :(
I think its d because overly permissive means that you give people freedom and if a parent gives their kid freedom they would be very dependent and immature. (freedom as in the parent dosen't care what the kid does and gives into the kid.)
An electron is launched at a 45∘ angle and a speed of 5.0×106m/s from the positive plate of the parallel-plate capacitor shown in the figure (Figure 1). The electron lands 4.0 cm away.
Part a) What is the electric field strength inside the capacitor?
Part b) What is the smallest possible spacing between the plates?
(a) The electric field strength inside the capacitor is 2,519.35 N/C.
(b) The smallest possible spacing between the plates is 2 cm.
What is the time of motion of the electron?The time of motion of the electron is calculated as follows;
X = Vₓt
t = X / Vₓ
where;
Vₓ is the horizontal component of the velocityX is the horizontal displacementt is the time of motiont = ( 0.04 m ) / ( 5 x 10⁶ x cos 45 )
t = 1.13 x 10⁻⁸ s
The force of the electron is calculated as follows;
F = mv / t
where;
m is the mass of the electronv is speedt is the timeF = ( 9.11 x 10⁻³¹ x 5 x 10⁶ ) / ( 1.13 x 10⁻⁸ )
F = 4.03 x 10⁻¹⁶ N
The electric field strength inside the capacitor is calculated as follows;
E = F / q
E = ( 4.03 x 10⁻¹⁶ ) / ( 1.6 x 10⁻¹⁹ )
E = 2,519.35 N/C
The smallest possible spacing between the plates is calculated as follows;
vertical acceleration of electron;
a = ( Vy ) / t
a = ( 5 x 10⁶ x sin45 ) / ( 1.13 x 10⁻⁸ )
a = 3.13 x 10¹⁴ m/s²
The vertical displacement of the electron;
0 = Vy² - 2ay
y = Vy² / 2a
y = ( 5 x 10⁶ x sin 45 )² / ( 2 x 3.13 x 10¹⁴ )
y = 0.02 m
y = 2 cm
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A machine of efficiency 80% does 3000j of work. caculate the energy used in over function?
The machine does 3000 J of work.
This is 80% of the energy that was put into the machine.
3000 J = 0.80 x (Input energy)
Divide both sides of the equation by 0.80 .
Input energy = 3000 J / 0.8
Input energy = 3750 J
a cylinder weighing 120 n rests between two frictionless walls as shown. the wall reaction in newton at point a is most nearly
The wall reaction at point A in newton is most nearly calculated to be equal to 60 N.
What is wall reaction?Wall reaction means that when you push on a wall, the wall pushes back on you with force equal in strength to the force you exerted.
Cylinder is in a state of static equilibrium, which means that net force and net torque acting on it are both zero. Force exerted by the wall at point A is equal in magnitude but opposite in direction to force exerted by the cylinder on wall at point A. Since the cylinder is not accelerating, net force acting on it is zero.
Since the force exerted by the wall at point A is equal in magnitude but opposite in direction to the weight of the cylinder, we say that the wall reaction at point A = 1/2 * weight of cylinder = 1/2 * 120 N = 60 N.
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