I came up with this test case myself. If s = '3ab' and t = 'cd', return 1. If s = '123ab' and t = '423cd', return 6.
What are lexicograph?The study of lexicons is called lexicography, and it is separated into two distinct academic fields. It involves the creation of dictionaries. [1]
The process of compiling, writing, and editing dictionaries is known as practical lexicography.
Theoretical lexicography is the academic study of the semantic, orthographic, syntactic, and paradigmatic characteristics of the lexicon (vocabulary) of a language. It also develops theories of the elements and structures of dictionaries that connect the data in dictionaries, the information needs of users in various contexts, and the most effective ways for users to access the data included in printed and electronic dictionaries. This practise is sometimes known as "metalexicography."
On what defines lexicology as different from lexicography, there is some debate. Some people use the term "lexicology" to refer to theoretical lexicography, whereas others do not.
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An object attached to a spring vibrates with simple harmonic motion as described by the figure below.
For this motion, find the following.
(a) the amplitude
(b) the period
(c) the angular frequency
(d) the maximum speed
(e) the maximum acceleration
(f) an equation for its position x in terms of a sine function (Do this on paper. Your instructor may ask you to turn in this work.)
The graph provided is a displacement-time graph. The object's displacement is shown on the x-axis, while its travel time is shown on the y-axis.
The largest displacement that an object may make is known as its amplitude. The maximum displacement made by the object is 2 cm.
As a result, the object has an amplitude of 2 cm according to the definition of amplitude.
The amplitude of the object depends on the displacement made by the object. The maximum displacement is made when the object moves to an extreme position in an oscillation.
An object moves from a mean position to an extreme position in a straightforward harmonic motion. One oscillation or cycle is said to be complete when the object travels from the mean position to the extreme position and returns to the mean position.
The displacements are shown on the graph as positive when it moves to the extreme position and negative when it moves back from the extreme position.
According to the presented graph, it takes 4 seconds to complete one oscillation or cycle.
As a result, the time period is 4 seconds according to the definition of time period. Therefore, the time period as ω = 2π/T.
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Two large parallel copper plates are 5.0 cm apart and have auniform electric field between them as depicted in Fig 22-48. Anelectron is released from the negative plate at the same time thata proton is released from the positive plate. Neglect the force ofthe particles on each other and find their distance from thepositive plate when they pass each other.
I made five attempts to include the digaram but to no avail.
The positive plate is on the left.
The negative plate is on the right.
The proton is released at the positive plate.
The electron is released at the negative plate.
The direction of the electric field is from the positive plate tothe negative plate.
Since the electric field is uniform, the proton and the electron will experience the same acceleration.
What is electric field?An electric field is a physical field generated by electric charges, such as the electrons in a conductor. It is an invisible force that can attract or repel other charged objects in its vicinity.
This means that their velocities will increase at the same rate. Therefore, when they pass each other, their distances from the positive plate will be the same.
The distance from the positive plate to the proton and electron when they pass each other is 5.0 cm. This is the same distance as the distance between the two plates.
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does cloud spins faster due to conservation of angular momentum. or gravitational potential energy is converted to kinetic energy.happen firsty
The rules of energy conservation and angular momentum conservation ensure that any rotating, collapsing cloud will finish up as a spinning disk.
What is momentum?Momentum is defined in Newtonian physics as the product of an object's mass and velocity. It is a vector quantity with magnitude and direction. Momentum is a measure of mass in motion: how much mass is involved in how much movement. It is commonly denoted by the sign p. Momentum is clearly defined as the measure of an object's kinetic energy. In layman's terms, momentum is the product of mass and velocity. Complete response: Simply said, momentum is concerned with the quantity of motion. It can also be referred to as the preserved quantity.
Here,
The laws of energy and angular momentum conservation guarantee that any rotating, collapsing cloud will end up as a spinning disk.
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A space probe is launched from Earth headed for deep space. At a distance of 10,000 miles from Earth's center, the gravitational force on it is 264 lb. What is the size of the force when it is at each of the following distances from Earth's center?
(a) 20,000 miles
lb
(b) 30,000 miles
lb
(c) 100,000 miles
lb
The size of the force when it is at 20,000 miles distances from Earth's center is 66 lb.
The size of the force when it is at 30,000 miles distances from Earth's center is 29.33 lb.
The size of the force when it is at 100,000 miles distances from Earth's center is 2.64 lb.
What is gravitational force?
The force of attraction between any two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation.
(a) the size of the force when it is at 20,000 miles distances from Earth's center = (264)/(2²) lb = 66 lb.
(b) the size of the force when it is at 20,000 miles distances from Earth's center = (264)/(3²) lb = 29.33 lb.
(c) the size of the force when it is at 100,000 miles distances from Earth's center = (264)/(10²) lb = 2.64 lb.
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which of the following word is the correct option for below question: component, points, parts. when solving conservation of motion problems in two dimensions it is important to break te velocity of each objet into x and y
When solving conservation of motion problems in two dimensions, it is important to break the velocity of each object into x and y component.
What is velocity?Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. Simply put, velocity is the rate at which something travels in a certain direction. For example, the speed of a car driving north on a highway or the speed of a rocket after launch.
Here,
When addressing conservation of motion issues in two dimensions, it is necessary to divide each object's velocity into x and y components.
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A simple machine increases the distance that a force needs to be applied from 3 meters to 27 meters, and
the work done is 216 Joules. How much force is applied? (1 point)
a.8N
b.72 N
c.9N
d.81 N
the input force by the output force 2. by adjusting the force's necessary application direction 3. 3N4. W=△E5.
What is the most accurate explanation of direction?Direction can refer to the way something moves, the way you must go to get somewhere, the way something is beginning to take shape, or the direction you are facing. When you turn right rather than left, that is an illustration of direction.
What exactly is a feeling of purpose in life?Your direction perception refers to your capacity to generally understand where you are or which course to go, even if you're in a strange environment. He quickly got lost due to his weak sense of direction. If you claim someone
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A baseball is hit almost straight up into the air with a speed of 22 m/s. Estimate (a) how high it goes, and (b) how long it is in the air. (c) What factors make this an estimate ?
(a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.
What is Acceleration due to gravity?Acceleration owing to gravity is the term used to describe the rate at which a body's velocity changes as a result of the earth's gravitational pull. In general, it is assumed that the acceleration caused by gravity is in the downward direction.
The acceleration caused by gravity has been calculated as, however as it changes from location to location, it may have an impact on the estimation.
You may have thought that the wind has no impact, but it can actually generate drag and even cause the ball to shift course.
Therefore, (a) The ball goes up to the height of 31.89 m. (b) The ball stays for 5.1 s in the air. (c) The acceleration due to gravity and wind resistance can affect the estimation.
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which of the following graphs best represents an acceleration curve that is consistent with the above velocity curve? the horizontal axes are scaled identically.
The acceleration - time graph represents velocity of an object.
The Acceleration-Time graph tells us about an object’s velocity the same way the Velocity Time graph tells us about an object’s displacement. It is the best way to determine velocity.Acceleration-Time Graph shows the acceleration plotted against time for a particle moving in a straight line. The acceleration-time plots acceleration values on the y-axis and time values on the x-axis.The area under the acceleration graph represents the change in velocity. In other words, the area under the graph for a certain time interval is equal to the change in velocity during that time interval.To know more about kinematics visit:
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a vertical air current that is generated by temperature-induced density differences (e.g., hot air rising) is an example of heat transfer by
Convection When a fluid, such as air or water, is heated and starts to circulate, heat transfer through convection takes place.
A cooler area is left behind when the hot fluid rises, carrying the heat energy it contains with it. As a result, energy is transferred from one place to another through a cycle of air or water currents. Convection is characterised by the vertical air current produced by temperature-induced density differences, such as hot air rising. Thermal convection is a crucial component of the climate system on Earth and is a type of convection. Convections always need a medium for the transfer of energy.
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sort these stellar objects by their peak wavelength. not all the objects are on the interactive, so determine the trend first, then sort the objects. stellar objects (4 items) (drag and drop into the appropriate area) the sun, a g star with t
The stellar objects the sun a g star is with T= 5500k
Distance between the equivalent positions of two successive waves is known as the wavelength. Two points or particles that are in the same phase and have completed identical percentages of their periodic motion are referred to as "corresponding points." Wavelength is typically measured from crest to crest or from trough to trough in transverse waves (waves with points vibrating at right angles to the direction of their advance); from compression to compression or from rarefaction to rarefaction in longitudinal waves (waves with points vibrating in the same direction as their advance). The Greek symbol lambda (λ) is typically used to represent a wave's length. Wavelength is defined as the product of a wave train's frequency (f) and speed (v) in a medium.
The wavelength of the temperature inversely related to each other. Higher the temperature, lower will be its wavelength.
1. Highest (reddest) a brown dwarf with T=100k
___________________________________________
2. a K star with T=4400k
___________________________________________
3. the sun, a G star with T=5500k
___________________________________________
4.(lowest/bluest) an F star with T=7000k
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A pair of closely spaced parallel conducting plates, charged with equal and opposite electric charges, produces a uniform electric field in the region between them. In designing a cutting‑edge device that will revolutionize the electronics industry, Leticia sets up such a pair of plates separated by a distance 0.999 mm, then charges them so that the direction of the electric field in their interior region points from plate A to plate B. Her idea requires that electrons, when released from rest at one of the plates, reach the other plate at the speed of 1.71% of the speed of light. The speed of light is =3.00×108 m/s. 2 questions:
At which plate should the electrons be released?
B
either A or B
A
cannot be determined
What is the strength of the electric field?
The electrons should be released from plate A because electric field lines goes from plate A to plate B.
What are cathode and anode?The negative or reducing electrode that releases electrons to the external circuit and oxidizes during an electrochemical reaction is known as the anode.
The Cathode is the positive or oxidizing electrode, which receives electrons from the external circuit and reduces them during the electrochemical reaction.
As the direction of the electric field in their interior region points from plate A to plate B, electric field lines goes from plate A to plate B and the electron should be released from plate A.
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The density of a fluid is given by the empirical equation rho = 70.5exp(8.7 times 10^-7P) A. Where p is density (lbm/ft^3) and P is pressure (lbf/in^2). (1 N=0.2250 Ibf; I g=0.002205 Ibm; 1 ft=12in=30.48cm) ? B. What are the units of 70.5 and 8.27 times 10^7? C. Calculate the density in g/cm^3 for a pressure of 9.0 times 10^6 N/m^2. Derive a formula for p (g/cm) as a function of P (N/m^2).
This equation can be used to calculate the density in g/cm^3 for any given pressure in N/m^2.
What is density?Density is a measure of mass per unit of volume, usually expressed in kilograms per cubic meter. It is an important physical property of matter and is used to compare the relative densities of different substances. Density is also used to calculate the buoyancy of objects in a fluid. The density of a substance is affected by temperature and pressure. In general, substances with higher densities tend to be more compact and therefore more dense.
A. The units of 70.5 and 8.7 times 10^7 are lbm/ft^3 and lbf/in^2 respectively.
B. To calculate the density in g/cm^3, we must convert the pressure from N/m^2 to lbf/in^2 by multiplying it by 0.2250. Thus, we have 9.0 times 10^6 N/m^2 * 0.2250 = 2.025 times 10^7 lbf/in^2. Plugging this into the equation, we have rho = 70.5exp(8.7 times 10^-7 * 2.025 times 10^7) = 1176.6 g/cm^3.
To derive a formula for p (g/cm) as a function of P (N/m^2), we can simply rearrange the equation to solve for p. Thus, we have p = 70.5exp(8.7 times 10^-7 * P) / 0.002205. This equation can be used to calculate the density in g/cm^3 for any given pressure in N/m^2.
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In video 1 for Chapter 17, how does the fringe spacing change when the distance between the slits, d, is increased?
The fringes get farther apart.
The fringe spacing stays the same.
The fringes get closer together.
It depends on how wide the slits are.
As the gap between the slits, d, is widened, the fringe spacing changes, becoming more pronounced.
How would you define distance in plain English?Distance is an object's overall motion in a directionless fashion. Depending of the starting or terminating point, distance can be referred to as the amount of territory an element has travelled.
The purpose of distance calculationWe can find out an object's actual size by knowing how far away it is. The area an object occupies in space above us can be measured. Once we know how far away it is, we can calculate its true size. An thing appears smaller the further away it is.
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A 4.0 kg mass is released from rest at the top of a frictionless ramp 2.0 m above ground. It slides down the ramp to a level, horizontal portion of frictionless track and then collides with a stationary 8.0 kg mass. Immediately after the collision, the larger mass has a velocity v_l = +3.5 m/s (i.e., heading to the right)
The velocity of the smaller mass just after the collision is B) +0.7 m/s.
To calculate the velocity of the smaller mass after the collision:
Use the law of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision: (m1 * v1) + (m2 * v2) = (m1 * v1') + (m2 * v2')
Substitute in the known values: (4.0 kg * 0 m/s) + (8.0 kg * 0 m/s) = (4.0 kg * v4) + (8.0 kg * (vg + 3.5 m/s))
Solve for the velocity of the smaller mass (v4): v4 = (8.0 kg * (vg + 3.5 m/s)) / 4.0 kg
Substitute in the value for the velocity of the larger mass (vg) which is not given in the question: v4 = (8.0 kg * (0 m/s + 3.5 m/s)) / 4.0 kg
Solve for the velocity of the smaller mass (v4): v4 = (8.0 kg * 3.5 m/s) / 4.0 kg
Simplify the calculation: v4 = 2.8 m/s / 4.0 kg
Divide the final value by the mass of the smaller object: v4 = 0.7 m/s
So the velocity of the smaller mass just after the collision is 0.7 m/s.
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11. A metallic block of mass sokg exerts o pressure of ION/m² on the surface. Determine the area of contact between the block and the surface.
The area of contact between the block and the surface is 50 m².
What is mass?A body's mass is an inherent quality. Before the discovery of the atom and particle, it was widely considered to be tied to the amount of matter in a physical body.
The measure of matter in a particles or object is represented by the dimensionless quantity mass (symbolised m). The kilogramme is the International System's (SI) preferred unit of mass (kg).
What is pressure?Pressure is defined as force applied on a body per unit area. Pressure is the force perpendicularly applied to an object's surface per unit area over which that force is distributed. Gauge pressure is the pressure in relation to the outside pressure. There are many different units used to express pressure.
Equation :Given,
mass(m) = 50kg
pressure (p) = 10N/m²
Taking,
g= 10 m/s²
p= mg/A⇒ 10= 50 × 10/A∴
A= 500/10 = 50 m²
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Tension force has units of ________. Check all that apply.
Answer:
Newton (N)
Explanation:
A constant net force, F net is applied to a cart with mass,m, causing an acceleration,a. If the mass of the cart is doubled, but the net force remains the same, what will the acceleration of the car be?
The acceleration of the car will be halved. Option A is the correct answer.
What is acceleration?This refers to the rate of change of velocity. It is the speed that is changing but not at all times. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing.
Solving for the acceleration:
The acceleration of the car will be halved. This is because the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Therefore, if the mass of the cart is doubled and the net force remains the same, the acceleration will be halved:
(a = Fnet/m).
The equation is :
F=ma
If we keep force constant and mass doubles, acceleration will be halved.
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The capacitance of an empty capacitor is 12 µF. The capacitor is then connected to a 12 V battery and charged up. With the capacitor connected to the battery, a slab of dielectric material is inserted between the plates. As a result, 2.5 x 10-5 C of additional charged flow from one plate, through the battery, and on to the plate. What is the dielectric constant, &, of the material?
The dielectric constant is 2.11
What does the term "capacitance" mean?Capacitance is the ability of a component or circuit to assemble and store energy in the form of an electrical charge. It consists of two electrical wires that are a specific distance apart from one another. The void between the conductors can be filled with vacuum or a dielectric, an insulating material. The capacity of a capacitor to hold charges is referred to as its capacitance.
Dielectric materials serve as insulation or have very poor electrical conductivity. Dielectrics, unlike metals, practically do not conduct current when exposed to an electric field because they lack loosely bound, or free, electrons that could wander through the substance. Instead, there is electrical polarisation.
The capacitance of the empty capacitor ,C1 = 12µF = 12*10^-6F
Battery voltage= 12 V
charge, Q2= 2.5 x 10-5 C
Initial charge ,Q1 = C1V1
= 12* 12*10^-6
= 224 *10^-6C
Qk = Q1 + Q2
Qk = (2.24 + 2.5)*10^-5 = 4.74*10^-5
Ck = KC1
Only the charges differ; the voltage (V) across both capacitors stays constant.
Qk/V = K Q1/V
K = Qk/Q1
K = 4.74 *10^-5/2.24*10^-5
K = 2.11
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A marathoner is trying to improve her skill at pacing herself during her races Select the best technology tool available to help provide feedback to the runner so that
she doesn't "burnout" too fast at the beginning of this grueling competition
O Pedometer
O Spreadsheet checklist
O Stopwatch
O Digital pictures
Answer: Stopwatch
Explanation: A stopwatch would be the best technology tool available to help provide feedback to the runner so that she doesn't "burn out" too fast at the beginning of a gruelling competition. A stopwatch can help the runner measure her pace and ensure that she runs at a steady, consistent pace throughout the race. Additionally, a stopwatch can be used to track the runner's split times and provide her with detailed feedback on her performance.
the fraction of ice which is submerged in water only depends on the density of the ice and the water. for this problem, assume the density of ice is 928.5 kg/m3.
0.917 fraction of ice which is submerged in water only depends on the density of the ice and the water.
What is density?The density of a material is its mass per unit volume. The most common sign for density is, however the Latin letter D can also be used. The density of a substance is the measure of how densely it is packed together. It is expressed as mass per unit volume. Symbol for density: D or Formula for Density: = m/V, where is the density, m is the object's mass, and V is the object's volume. The density of something describes how compact or dense it is. Let's say you have two boxes, one huge and one tiny. They both, however, weigh the same. That means the small box has a higher density than the large box. Density also tells how concentrated or crowded something is.
Here,
The density of the ice and the water have no effect on the 0.917 proportion of ice that is submerged in water.
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Calculate the increase in length of a 40 cm brass rod that is heated from 30 ° C to 50 ° C ( linear expansion of Brass is 1.9 x 10³8¹¹ )
a. 0.015 cm b.0.051 cm c.1.9 cm d. 15.20 cm
The solution for the increase in length of a 40 cm brass rod that is heated from 30 ° C to 50 ° C ( linear expansion of Brass is 1.9 x 10³8¹¹ ) is
0.051 cm. In this case Option B is correct.
Linear Expansion Theory: What Is It?
The linear expansion theory, which is used in this question, states that when an object is heated or cooled, its expansion or contraction will be proportional to its original length and the temperature change.
First, determine Brass' linear expansion (1.9 x 108 11).
Step 2: Determine how long the 40 cm brass rod will grow. Increase in length equals (Brass linear expansion) times (Temperature change) times (Rod length).
(1.9 x 108 11) x (20°C) x (40 cm) length increase
Step 3: Determine the lengthening.
lengthening equals 0.051 cm
Response: 0.051 cm
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assuming that each cubic centimeter of water has a mass of exactly 1 g, find the mass of 1.87 cubic meter of water.
Assuming that each cubic centimeter of water has mass of exactly 1 g , then mass of 1.87 cubic meter of water is 1.87 kg.
What is mass?We define mass as measure of the amount of matter in a body. And SI unit of mass is Kilogram (kg) and the mass of a body does not change at any time.
As we know, mass = volume x density
where volume is given in cubic meter and density is given in g/cm^3
As water has a density of 1 g/cm^3 at 4 degree Celsius, this means that 1 cm^3 of water has a mass of 1 g.
So, mass = 1.87 m^3 x 1 g/cm^3 = 1.87 kg
Therefore, the mass of 1.87 cubic meter of water is 1.87 kg.
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a river flows with a uniform velocity v. a person in a motorboat travels 1.52 km upstream, at which time a log is seen floating by. the person continues to travel upstream for 91 min at the same speed and then returns downstream to the starting point, where the same log is seen again.
The velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
What is velocity?Velocity is a vector quantity that describes the rate and direction of the movement of an object or particle. It is composed of two components: speed and direction.
The speed of the river is constant and is denoted by v. Therefore, the velocity of the motorboat is v + u, where u is the speed of the motorboat relative to the river.
When the person travels 1.52 km upstream, the total distance covered by the motorboat is 1.52 km x (v + u). This is also the distance covered by the log during the same period of time.
The time taken by the person to travel upstream is 91 min. Therefore, the total time taken by the motorboat to cover the round trip (upstream + downstream) is 182 min.
The total distance covered by the motorboat during the round trip is 3.04 km x (v + u). Since the same log is seen again, the distance covered by the log during the round trip is also 3.04 km.
Therefore, the velocity of the log relative to the river is 3.04 km/182 min = 0.017 km/min.
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The Kingda Ka roller coaster in New Jersey is the world's tallest ride of its kind. As the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57 m/s (128 mph) in just 3.5 s. (Assume the cars are launched in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.)
(a) What is the acceleration experienced by passengers on this ride in m/s2?
m/s2
What is the acceleration experienced by passengers on this ride in g's?
g
(b) If a certain passenger has a mass of 68 kg, what is the force in newtons that acts on him during the launch phase of this ride?
N
What is the force in pounds that acts on him during the launch phase of this ride?
lb
a) The acceleration is 16.3 m/s^2
b) The acceleration is 1.66 g
c) The force that acts is 666.4 N
d) The force in pounds is 149.8 pounds
What is the acceleration?We have to note that when we talk about the acceleration, we mean the change in the velocity of the object with respect to the time that is taken. In the case of the problem that we have here, we are told that the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57 m/s (128 mph) in just 3.5 s.
Note that;
v = u + at
v = final velocity]
u = initial velocity
t = time taken
a = acceleration
Then;
a = v - u/t
a = 57 - 0/3.5
a = 16.3 m/s^2
The acceleration in g's is 16.3 m/s^2/9.8 m/s^2 = 1.66 g
The force that acts on the passenger is; 68 Kg * 9.8 m/s^2 = 666.4 N
The weight in pounds of the passenger is 149.8 Pounds
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A 21 g ball of clay traveling east at 3.2 m/s collides with a 32 g ball of clay traveling north at 2.1 m/s. What are the speed and the direction of the resulting 53 g ball of clay?
The resulting ball of clay after the collision is moving with a speed of 2.53 m/s in a direction between east and north.
To determine the speed and direction of the resulting 53 g ball of clay after the collision, we need to use the conservation of momentum principle.
Let us call the initial momentum of the first clay ball (21 g) "p1", and the initial momentum of the second clay ball (32 g) "p2". The final momentum of the resulting clay ball (53 g) will be "p3".
The initial momentum of the first clay ball can be calculated as p1 = m1 * v1 = 21 g * 3.2 m/s = 67.2 gm/s (going east)
The initial momentum of the second clay ball can be calculated as
p2 = m2 * v2 = 32 g * 2.1 m/s = 67.2 gm/s (going north)
So, the total initial momentum is p1 + p2 = 67.2 gm/s + 67.2 gm/s = 134.4 g*m/s
After the collision, the total momentum of the resulting clay ball is 134.4 gm/s, and its mass is 53 g. So, we can use the following equation to find its final velocity: p3 = m3 * v3 = 134.4 gm/s = 53 g * v3
So, the final velocity of the resulting clay ball is v3 = 134.4 g*m/s / 53 g = 2.53 m/s.
To find the direction of the resulting clay ball, we can use the vector addition of the initial velocities of both clay balls. The direction of the final velocity vector would be the angle formed between the sum of the vectors and the x-axis.
So, the final velocity vector of resulting clay ball is a vector sum of the initial velocities of both clay balls, and its direction would be somewhere between the east and north direction.
Therefore, the resulting ball of clay after the collision is moving with a speed of 2.53 m/s in a direction between east and north.
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problem 1-45: the column is made of concrete having a density of 2.30 mg/m3 . at its top b it is subjected to an axial compressive force of 15 kn. determine the average normal stress in the column as a function of the distance z measured from its base.
The average normal stress in the column as a function of the distance z from its base is (237.68 - 21.43z) kPa or (237,684.54 - 21,431.12z) Pa.
The full question is in the attachment. There is a weight force that works in the concrete column. The formula w = mg
m = mass of the column (kg) g = the acceleration due to gravity (9.8 m/s²) w = the weight (N)The mass of the column is unknown but the density is known. The formula for density ρ = m ÷ V
m = ρV
ρ = the density = 2.30 Mg/m³ = 2,300 kg/m³ V = the volume of the column The volume of the tubular columnThe weight force
w = mg = ρVg = ρg × πr²h
w = 2,300 × 9.8 × 3.14 × 0.18² × (4 - z)
w = 2,293.13 (4 - z)
w = (9,172.52 - 2,293.13z) N
The column is in equilibrium then Newton's first law applies
The axially compressive force = F₁ = 15 kN = 15,000 N∑F = 0
N - F₁ - w = 0
N = F₁ + w
N = 15,000 + (9,172.52 - 2,293.13z)
N = (24,172.52 - 2,293.13z) Newton
The average normal stress can be calculated by the formula
σ = F/A
σ = the stress (Pascal) F = the force (N) A = the area of the baseσ = N ÷ A
σ = (24,172.52 - 2,293.13z) ÷ 0.1017
σ = (237,684.54 - 21,431.12z) Pascal
σ = (237.68 - 21.43z) kPa
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Marsha is pushing down and to the right on a 12 kg box at an angle of 30 degrees below horizontal. The box slides at a constant velocity across a carpet whose coefficient of kinetic friction with the box is 0.70. Determine the magnitude of applied force, normal force, and friction force.
To determine the magnitude of the applied force, normal force, and friction force, we can use the equations of motion.
The applied force (Fa) is the force that Marsha exerts on the box. It can be determined by the equation:
Fa = ma
where m is the mass of the box (12 kg) and a is the acceleration of the box (which is zero, since the box is moving at a constant velocity).
The normal force (FN) is the force exerted on the box by the surface it is sliding on, perpendicular to the surface. It can be determined by the equation:
FN = mg
where g is the acceleration due to gravity (9.8 m/s^2).
The friction force (Ff) is the force exerted on the box by the surface it is sliding on, parallel to the surface. It can be determined by the equation:
Ff = μFN
where μ is the coefficient of kinetic friction between the box and the surface (0.70).
So,
Fa = 12 * 0 = 0 N (since acceleration is zero)
FN = 12 * 9.8 = 117.6 N (perpendicular to the surface)
Ff = 0.7 * 117.6 = 82.32 N (parallel to the surface)
So the magnitude of applied force is 0 N, normal force is 117.6 N, and friction force is 82.32 N
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a bullet is accelerated down the barrel of a gun. the average force exerted on a 0.020 kg bullet to accelerate it to a speed of 500.0 m/s in a time of 2.00 ms (milliseconds) is
The average force is then F = ma is 5,000 kg m/s2 = 5,000 N.
What is average force?Average force is the mean force of a set of forces. It is used to measure the average magnitude of a force over a period of time or over multiple forces. It is calculated by dividing the sum of all forces by the number of forces.
The average force exerted on the bullet is calculated using Newton's second law, F = ma. The acceleration of the bullet can be calculated by dividing the change in velocity (500.0 m/s) by the time interval (2.00 ms).
a = Δv/Δt
a = 500.0 m/s / 2.00 ms = 250,000 m/s2
The average force is then F = ma = (0.020 kg)(250,000 m/s2) = 5,000 kg m/s2 = 5,000 N.
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Answer:
Hi ??? what is your question
from the following statements about mechanical waves, identify those that are true for transverse mechanical waves only, those that are true for longitudinal mechanical waves only, and those that are true for both types of waves.
The particles in a medium vibrate perpendicular to the wave's path when it passes through it, indicating that the wave is just a transverse mechanical wave.
The only type of wave that can pass through a medium is a longitudinal mechanical wave, which causes the particles within the medium to vibrate in a direction parallel to the wave's path.
The speed at which a wave moves across a medium depends on an inertial characteristic of that medium. This is true for both transverse and longitudinal mechanical waves.
A transverse wave is a form of wave in which the wave's velocity is always perpendicular to the particle positions in the medium. To see an example, move one end of a Slinky (whose other end is fixed) to the left and right of the Slinky as opposed to back and forth. Waves on the water's surface, for instance.
In physics, a mechanical wave is a wave that incorporates matter oscillation and transmits energy across a medium. Despite the fact that waves can travel long distances, the transmission medium, or the substance, has a limited range. Example - Sound waves
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