The height above the ground in which the vase is raised is 51.02 m.
What is the height of the vase?
The height above the ground in which the vase is raised is calculated by applying the formula for gravitational potential energy.
Gravitational potential energy of an object is the energy possessed by the object due to the object's position above the ground.
Mathematically, the formula for gravitational potential energy is given as;
P.E = mgh
where;
m is the mass of the objectg is acceleration due to gravityh is the height above the ground in which the object is raisedThe given parameters include;
mass of the vase = 0.2 kg
potential energy of the vase = 100 J
acceleration due to gravity = 9.8 m/s²
h = P.E / mg
h = (100) / (0.2 x 9.8)
h = 51.02 m
Thus, the height of the vase is a function of the potential energy and mass of the vase.
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The complete question is below:
a 0.2 kg vase has a potential energy of 100j. What is the height of the vase?
Baseballs aren’t especially bouncy. A baseball fired at 20 m/s
at a solid wall rebounds at 11 m/s. What fraction of the initial kinetic energy is transformed into thermal energy?
The fraction of the initial kinetic energy is transformed into thermal energy is 3/4.
What fraction of the initial kinetic energy is transformed into thermal energy?The fraction of the initial kinetic energy is transformed into thermal energy is calculated by applying the principle of conservation of energy as shown below.
Mathematically, this is given as;
ΔK.E = E
where;
ΔK.E is the change in kinetic energyE is the thermal energyE = K.Ef - K.Ei
where;
K.Ef is the final kinetic energyK.Ei is the initial kinetic energyE = (¹/₂mu² - ¹/₂mv²) / (¹/₂mu²)
where;
m is the mass of the baseballv is the final velocity of the baseballu is the initial velocity of the baseballE = (u² - v²) / (u²)
E = (20² - 10²) / (20²)
E = 0.75 = 3/4
Thus, the fraction of the initial kinetic energy is transformed into thermal energy is a function of the change in speed of the baseball.
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No no no no. no no no no
A sound pulse emitted underwater reflects off a school of fish and is detected at the same place 0.10 s later. How far away are the fish? (Assume the water temperature is 20 degrees C.)
The distance of the fish, given that a sound pulse was heard 0.10s later is 148.1 m
How do I determine the distance of the fish?Speed is related to distance according to the following formula:
Speed = distance / time
Cross multiply
Distance = speed × time
Using the above formula, we can determine the distance of the fish. Details below:
Speed of sound in fresh water at 20 °C = 1481 m/sTime = 0.10 secondDistance of fish =?Distance = speed × time
Distance = 1481 × 0.10
Distance = 148.1 m
Thus, we conclude that the distance of the fish is 148.1 m
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There are 100 g of lodine-131. After 16 days, how many grams of lodine-131 is left?
Answer:
25g
Explanation:
According to a quick internet search, the half-life of I-131 is 8 days.
The amount left after 16 days can be calculated with the radioactive exponential decay formula:
[tex]A_(_t_)=A_0e^(^\frac{\ln(.5)}{T}^)^t[/tex]
Where:
[tex]A_(_t_)[/tex] = the amount left as a function of time
[tex]A_0[/tex] = the original amount (100g)
T = the half-life of the isotope (8d)
t = time (16d)
So:
[tex]A_(_t_)=A_0e^(^\frac{\ln(0.5)}{T}^)^t\\A_(_t_)=(100g)e^(^\frac{\ln(0.5)}{8d}^)^(^1^6^d^)\\A_(_t_)=(100g)e^-^2^(^\ln(2))[/tex]
[tex]A_(_t_)=25g[/tex]
This answer is intuitive because the isotope has been through two half-lives:
[tex]100g(\frac{1}{2})(\frac{1}{2})=25g[/tex]
Are the results of the investigation described below valid? If not, what should the scientists do next? Explain your reasoning.
Passage A scientist wrote a report that communicates the steps he performed in an investigation, the data he gathered, and his conclusions. A second scientist used the report to carry out the same investigation. However, her results were very different.
In the case described above, there are at least three possible scenarios:
The first research or experiment was correct but wrongly documentedThe first experiment was correct and correctly documented; andThe second research was not properly executed according to the documentation of the first researcher.In any of the above cases, the correct step to take, if it is possible is for both scientists to meet, review notes and jointly execute a third investigation. This is because, in science, the guesswork only happens during hypothesis formulation.
Once a principle has been established via experimentation and properly documented, the same research can be replicated in any other location by any other person with the end results being the same if they all follow the exact report documented when the investigation was deemed successful.
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The net force acting on Mrs. Cosce 1,500 kg car is 12,000 N. What is the acceration of her car?
Answer: 8.0 m/s2
Explanation:
F = ma
a = F/m
F = 12,000 N
m = 1,500 kg
a = 12,000 N / 1,500 kg = 8.0 m/s2
If the potential energy is 2000 J with a mass of 7 kg, what is the height of the object?
Answer: Height of object = 29.13475
Hope this helps!
Answer: 29.12 Meters.
Explanation:
Potential energy = Mass * Gravity * Height. | (P=mgh)Rearrange the equation for height: H=(p/(g*m))Place the values: H=(2000J)/(9.81 * 7kg)Answer equals 29.12MA bus slows down from 8.22 m/s to a stop in 13.3 s. Its wheels have a radius of 0.530 m. Find the initial angular speed of the wheels.
Answer:
The initial angular velocity of the bus wheel:
ω₀ ≈ 15.6 rad / s
Explanation:
Given:
V₀ = 8.22 m/s - Starting speed of the bus
V= 0 m/s - Final speed of the bus (the bus has stopped)
ω = 0 rad/c - Final angular velocity of the bus wheel
t = 13.3 s - Bus deceleration time
R = 0.530 m - Bus wheel radius
____________________
ω₀ - ? - The initial angular speed of the wheels.
1) Bus linear acceleration module:
a = ( V₀ - V) / t = (8.22 - 0) / 13.3 ≈ 0.62 m/s²
2) Bus angular accelerations module:
ε = a / R = 0.62 / 0.530 ≈ 1.17 rad / s²
3) The initial angular velocity of the bus wheel:
ω₀ = ε·t = 1.17·13.3 ≈ 15.6 rad / s
A 5kg block is pulled across a table by a horizontal force of 40 N with a frictional 8N opposing the motion. Calculate the acceleration of the object
Answer:
[tex]\huge\boxed{\sf a = 6.4 \ m/s^2}[/tex]
Explanation:
Given Data:Horizontal Force = 40 N
Frictional Force = 8 N
Mass = m = 5 kg
Required:Acceleration = a = ?
Formula:[tex]\displaystyle a =\frac{F}{m}[/tex]
Solution:Since frictional force is opposing force, the resultant force will be horizontal force minus frictional force.
So,
Force = Horizontal force - Frictional forceForce = 40 - 8
Force = 32 N
So,
[tex]\displaystyle a = \frac{F}{m} \\\\a =\frac{32}{5} \\\\a = 6.4 \ m/s^2\\\\\rule[225]{225}{2}[/tex]
Part A
Find the water pressure at the bottom of the 54-m-high water tower in the following figure.
Express your answer to two significant figures and include the appropriate units.
Incorrect; Try Again; 5 attempts remaining
Enter your answer with a different unit type. Review a list of acceptable units.
The water pressure at the bottom of the 54-m-high water tower is
0.53 M Pa0.53 M N/m²How to calculate the pressure of waterpressure of water at a certain depth is calculated using the formula
Pressure, P = height * density * acceleration due to gravity
density of water is given by = 1000 kg/m³
acceleration due to gravity is given by = 9.82 m/s²
the given height, at the bottom of the 54-m-high water tower = 54 m
Pressure = 1000 kg/m³ * 9.82 m/s² * 54 m
Pressure = 530280 N/m²
Pressure = 0.53 M N/m²
Pressure = 0.53 M Pa
The pressure at the bottom of the 54-m-high water tower is 0.53 MPa
The unit of pressure used here is Pa which is equal to N/m² other unit include pound - force foot
1 N/m² = 0.73756 pound-force foot
530280 N/m² = 530280 * 0.73756 = 391113.32 pound-force foot
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A pencil rolls across a table toward its edge. In one to two sentences, explain which direction the pencil will move once it leaves the table and why.
Answer:
it won't move unless it has momentum
Explanation:
Two crates, 10 kg and 15 kg respectively, are connected with a thick rope according to the diagram. A force, to the right, of 500 N is applied. The boxes move with an acceleration of 2 m/s^2 to the right. One third of the total frictional force is acting on the 10 kg block and two thirds on the 15 kg block. Calculate: the magnitude and direction of the total frictional force present.
Explanation:
Total frictional force = 500 N
Magnitude of frictional force on 10 kg block = 500 N/3 = 166.67 N
Magnitude of frictional force on 15 kg block = 500 N/3 x 2 = 333.33 N
Direction of frictional force on 10 kg block = Left
Direction of frictional force on 15 kg block = Left
The rate of decay of a radioactive sample is given by R1 at time t1 and R2 at a later time t2 . The mean life of this radioactive sample is:
Hope this answer helps you
A gardener is driving a lawnmower with a force of 80N that makes an angle of 40° degree with the ground find its horizontal component
The horizontal component of force be 61.28 N.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.
Given that:
A gardener is driving a lawnmower with a force of 80N that makes an angle of 40° degree with the ground.
So, horizontal component of force be = 80 cos40° N = 61.28 N.
Hence, the horizontal component of force be 61.28 N.
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Use the drop-down menus to complete the sentences.
The first step in a bill becoming a law is for the bill to be
.
Next, the bill goes to
to be marked up, dropped, or sent to the floor.
After that, the bill is debated on the floor and can pass on a majority vote of
.
In the next stage, the bill must go to the
to repeat the process.
After the bill is resolved in the
, it goes to the president.
The first step towards a bill becoming a law is for the bill to be introduced in Congress.
Next, the bill goes to a committee to be marked up, dropped, or sent to the floor.
After that, the bill is debated on the floor and can pass with a majority vote of the house that sponsored it.
In the next stage, the bill must go to the other chamber, to repeat the process.
After the bill is resolved in the conference committee, it goes to the president.
What is the Congress?The Congress is sometimes referred to as Senate and it can be defined as a deliberative assembly or council of elected citizens found in the upper chamber or house of a bicameral legislature.
This ultimately implies that, Congress is a federal legislative arm of government of the United States of America, which is saddled with the responsibility of enacting and passing federal laws and bills for the citizens, with the steps enumerated above.
Generally speaking, the first step of making bill to become a law is introducing it to the Congress while the last step is the resolution of a bill if it is voted in favor by at least 44 senators, and then it finally goes to the president for assent through his or her signature.
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Complete Question:
Use the drop down menus to complete the sentences.
The first step in a bill becoming a law is for the bill to be _____.
Next the bill goes to _____ to be marked up, dropped or sent to the floor.
After that, the bill is debated on the floor and can pass on a majority vote of ____.
In the next stage, the bill must go to the ____ to repeat the process.
After the bill is resolved in the ____, it goes to the president.
Once the hydrogen in the core of a star runs out, what element does the star begin to fuse
next?
Once the hydrogen in the core of a star runs out, then the element, Helium begins to fuse.
Helium begins to fuse, once the core of a star runs out, as helium is then, the only lightest element left in the core of the star.
The energy produced in the fusion processes decreases, as heavier and heavier element starts to fuse. Stars become the main sequence stars after they fuse hydrogen.
Once the hydrogen in the core runs out, the stars could not hold against gravity more, thereby increasing the pressure and temperature in the core of the star.
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3. A beach ball is inflated to a volume of 25L of air at 15°C. During the afternoon,
the volume increases by 1L. What is the new temperature outside?
Answer:
Below
Explanation:
P1V1/T1 = P2V2/T2 T MUST be in Kelvin
P1 = P2 so this becomes
V1/T1 = V2/T2
25/ (273.15 + 15) = 26 / (273.15 + X) where 'X' is the °C afternoon temp
X = 26.5 °C
The reasoning developed for counting microstates applies to many other situations involving probability. For example, if you flip a coin 5 times, how many different sequences of 3 heads and 2 tails are possible? Answer: 10 different sequences, such as HTHHT or TTHHH. In contrast, how many different sequences of 5 heads and 0 tails are possible? Obviously only one, HHHHH, and our equation gives 5!/[5!0!]=1, using the standard definition that 0! is defined to equal 1 If the coin is equally likely on a single throw to come up heads or tails, any specific sequence like HTHHT or HHHHH is equally likely. However, there is only one way to get HHHHH, while there are 10 ways to get 3 heads and 2 tails, so this is 10 times more probable than getting all heads. Use the expression 5!|[N!(5−N)!] to calculate the number of ways to get 0 heads, 1 head, 2 heads, 3 heads, 4 heads, or 5 heads in a sequence of 5 coin tosses. Make a graph of the number of ways vs. the number of heads.
Answer:
Explanation:
10 different sequences
Suppose the charges attracting each other in the above situation have an equal magnitude. Find the charge.
The situation- Two-point charges are separated by 6 cm. The attractive force between them is 27 N. Find the force between them when they are separated by 18 cm. (Why can you solve this problem without knowing the magnitudes of the charges?) i got 6.75 if the answer is needed
The force between the two point charge when they are separated by 18 cm is 3 N
How do I determine the force when they are 18 cm apart?Coulomb's law states as follow:
F = Kq₁q₂ / r²
Cross multiply
Fr² = Kq₁q₂
Kq₁q₂ => constant
F₁r₁² = F₂r₂²
Where
F₁ and F₂ are the initial and new forcer₁ and r₂ are the initial and new distance apartWith the above formula, we can obtain the force between the two point charge when they are 18 cm apart. Details below:
Initial distance apart (r₁) = 6 cmInitial force of attraction (F₁) = 27 NNew distance apart (r₂) = 18 cmNew force of attraction (F₂) =?F₁r₁² = F₂r₂²
27 × 6² = F₂ × 18²
972 = F₂ × 324
Divide both side by 324
F₂ = 927 / 324
F₂ = 3 N
Thus, the force when they are 18 cm apart is 3 N
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What is the biggest agent of erosion?
a tornadoes
b pollution
c gravity
d water
Answer:
D - Water
Explanation:
mr wang works in a recycling center recyclable materials arrive at the center mixed together workers use magnets separate steel cans from other items which two statements are true about the force between a steel can and a magnet
The force between the magnet and the can is the noncontact force. The attraction between the magnet and the can is a pull. Therefore, option B and C are correct.
What is a magnet?A magnet can be described as a material that produces a magnetic field and this magnetic field is responsible for the properties of a magnet. The properties magnet is such a force that pulls ferromagnetic materials, such as steel, iron, cobalt, etc., towards it.
A permanent magnet can be described as an object made of a material that can be magnetized and creates its own magnetic field. These type of materials are strongly attracted to a magnet, is known as ferromagnetic, and consist of the elements iron, nickel, and cobalt.
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Your question was incomplete, most probably the complete question was,
Mr. wang works in a recycling center recyclable materials arrive at the center mixed together workers use magnets to separate steel cans from other items which two statements are true about the force between a steel can and a magnet:
A) Gravity pushes the can toward the magnet.
B) The force between the magnet and the can is the noncontact force.
C) The attraction between the magnet and the can is a pull
D) The attraction between the magnet and the can is a push.
If you are running at 6m/s and decide at 2m/s². How long will take you to stop and how far will You go respectively while declaration
You will take 3 second to stop and you will go 9 meters far.
What is velocity?
The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given that:
Initial velocity: u = 6 m/s.
deceleration: a = 2 m/s^2.
Final velocity = 0 m/s.
We have to find: time: t = ? and distance travelled: s = ?
So, time taken to stop = v/a = 6/2 second = 3 second.
Distance travelled in this process: s = v^2/2a = (6×6)/(2×2) meter = 9 meter.
Hence, you will take 3 second to stop and you will go 9 meters far.
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A 12 kg chair initially at rest on a horizontal floor requires a 112 N horizontal force to set it in motion.
Calculate the coefficient of static friction.
Round your answer to two decimal places (the hundredth place). You do not need to include units.
Explanation:
0.98
The coefficient of static friction is calculated by dividing the force required to set the chair in motion (112 N) by the weight of the chair (12 kg). This gives us 112/12 = 9.3. The coefficient of static friction is equal to the ratio of the force required to set the chair in motion to the weight of the chair, so 9.3/9.8 = 0.98.
heat flow occurs between two bodies in thermal contact. which property determines the direciton of heat flow
When two items with different temperatures come in contact with one another, energy moves from the hotter (higher temperature) object to the cooler (lower temperature) object until both objects reach the same temperature.
What is thermal contact?Once the temperatures are identical, there is no net heat transfer since the quantity of heat transported from one object to the next and the amount of heat radiated are equal.
Temperature change is one of the main consequences of heat transfer: Cooling brings down the temperature while heating brings it up.
Experiments reveal that three factors—the change in the substance's temperature, its mass, and specific physical characteristics associated to the substance—have an impact on how much heat is transported to or from a substance.
Therefore, When two items with different temperatures come in contact with one another, energy moves from the hotter (higher temperature) object to the cooler (lower temperature) object until both objects reach the same temperature.
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31. Box A of mass m sits on the floor of an elevator, with box B of mass 2 m on top of it, as shown in the figure above. The elevator is moving upward and slowing down. F_A is the magnitude of the force exerted on box A by box B, F_B is the magnitude of the force exerted on box B by box A, and F_g is the magnitude of the gravitational force exerted on box B. Which of the following ranks the forces in order of increasing magnitude?
(A) F_B=F_A=F_g
(B) (F_B=F_A)
(C) F_B<(F_A=F_g)
(D) F_g
The rank of the forces in order of increasing magnitude is Fg < FB < FA.
option D is the correct answer.
What is the net force on elevator moving upwards?The net force on an elevator moving upwards is determined by the force of gravity acting downwards and the normal force of the elevator acting upwards.
That is, the two forces acting on a person when he is moving in an elevator are:
the force of gravity and the normal force by the elevator.When the two forces are of equal magnitude, the elevator will be static or moving with constant velocity.
When the magnitude of the two force are unequal, then the elevator will be accelerating upward or downward.
Since the elevator is moving upwards, it implies that the normal force is greater than the force of gravity acting downwards.
the normal force = FB + FAForce of gravity = FgThe box at the bottom will feel much heavier due to the weight of box and gravity acting downwards.
FA = FB + Fg
Thus, the force exerted on box A is the greatest, followed by the force on box B and then, the smallest is force of gravity.
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A frozen salmon is sliding across the sea in ice in the +X^ direction. A hungry polar bear does -40J of the work and stops the salmon. If the polar bear applied its force over 0.5m, what force did it apply (include direction)?
A hungry polar bear does -40J of the work and stops the salmon. If the polar bear applied its force over 0.5m. The force is 80 Newton.
What is Force?
A force is an effect that can alter an object's motion according to physics. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull.
A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P).
The net force acting on an object is equal to the rate at which its momentum varies over time, according to Newton's second law in its original formulation. This law says that an object's acceleration is constant if the object's mass is constant.
Therefore, A hungry polar bear does -40J of the work and stops the salmon. If the polar bear applied its force over 0.5m. The force is 80 Newton.
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SECTION IV
QUESTION: 2. On the football field, a 95-kg halfback makes a turn. The halfback
sweeps out a path that is a portion of a 12-meter-radius circle. If in 2.1 seconds, the
halfback completes a quarter-circle turn. Determine the halfback's speed and
acceleration.
Pls solve this
Answer:
Speed = (2πr)/t = (2π x 12 m)/2.1 s = 28.6 m/s
Acceleration = (vf-vi)/t = (28.6 m/s - 0 m/s)/2.1 s = 13.6 m/s^2
A dryer uses electrical energy to spin a drum and produce heat. It uses 220 V of an electric charge and 50 A of electric current. What is the dryer power?
The power used by the dryer to spin the drum and produce heat is 11000 Watts.
What is the power of the dryer?Power is simply the quantity of energy transferred per unit time.
This is expressed as;
P = v × I
Where v is voltage and I is current.
Given that;
Voltage v = 220VCurrent I = 50APower P = ?Plug the given values into the above formula and solve for P.
P = v × I
P = 220V × 50A
P = 11000 Watts
Therefore, the power used by the dry is 11000 Watts.
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3. A bald eagle in level flight at a height of 135m drops the fish it caught. If the eagle's
speed is 25.0 m/s how far from the drop point will the fish land?
The horizontal distance travelled by the fish when dropped is 131.25 m.
What is the time of motion of the fish?
The time of motion of the fish from the given height is calculated by applying the following kinematic equation as shown below.
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity = 0t is the time of motion'g is acceleration due to gravityh = 0 + ¹/₂gt²
t = √ ( 2h / g )
t = √ ( 2 x 135 / 9.8 )
t = 5.25 seconds
The horizontal distance travelled by the fish when dropped is calculated as;
X = vt
X = 25 m/s x 5.25 s
X = 131.25 m
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How many seconds would it take a Dalmatian to accelerate from rest to its
top speed of 16.5 m/s over a distance of 11 meters?
It take 1.33 second to a Dalmatian to accelerate from rest to its top speed.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
given parameters:
initial speed, u = 0
final speed, v =16.5 m/s.
distance covered, s = 11 meters.
We have to find: time t = ?
We know that:
s = ut +(v-u)t/2
⇒ 11 = 0 + (16.5 -0)t/2
⇒ t = 22/16.5 second = 1.33 second.
So, it take 1.33 second to a Dalmatian to accelerate from rest to its top speed.
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