4. A spring has a force constant of 1500 N/m. How much work is required toextend the spring 0.1m from its relaxed position?A1500 JB750 J7.5JD150 J5. Calculate the kinetic energy of a 4.0 g bullet moving at 1000 m/s.A1000 JB2000 J3000 JD4000 J6. A child whose mass m = 20 kg, is running through a tunnel a distance 100m in 20 s. The kinetic energy of the child is:A200 J250 J400 JD100J

Dear student, According to the guidelines I am allowed to answer only one…

Answered: 4. A spring has a force constant of…

4. A spring has a force constant of 1500 N/m. How much work is required to extend the spring 0.1m from its relaxed position? A 1500 J B 750 J 7.5J D 150J

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter7: Work And Kinetic Energy

Section: Chapter Questions

Problem 93AP: A 7.0-kg box slides along a horizontal frictionless floor at 1.7 m/s and collides with a relatively...

See similar textbooks

Related questions

Q: 13) A block of mass 450 g is attached to a spring of spring constant 150 N/m .The other end of the…

Q: 3. A box (mass = 100 g) is initially connected to a compressed (x = 80 cm) spring (k = 100 N/m) at…

Q: A spring-loaded gun fires a 0.090-kg puck along a tabletop. The puck slides up a curved ramp and…

A: Given data The mass of the puck is, m=0.090 kg The spring displacement is x=23.5 cm The spring…

Q: GOAL Use conservation of energy to calculate the speed of a block on a horizontal spring with and…

A: mass = 5 kg k = 400 Nminitial position = 0.05 m coefficient of static friction = 0.15

Q: The figure shows an 7.6 kg stone at rest on a spring. The spring is compressed 9.6 cm by the stone.…

Q: A 9.5 kg block is forced against a horizontal spring, compressing the spring 0.3 m. When released,…

Q: The figure shows an 7.6 kg stone at rest on a spring. The spring is compressed 9.9 cm by the stone.…

Q: A spring-loaded gun fires a 0.090-kg puck along a tabletop. The puck slides up a curved ramp and…

A: From conservation of energy, 12kx2=mghh=kx22mg Substitute the given values, h=875 Nm23.0×10-2…

Q: 3. A 10-kg cart is released from rest with no slack in the cable and with the spring unstrethced.…

A: Formula used: The equation for the external force on the spring by the cart is:…

Q: A car accelerates from 0 to 38.3 m/s in 3.67 s. The mass of the car is 1.02e+03 kg. (a) What is the…

Q: An ideal spring has a spring constant k = 23.8 N/m. What is the amount of work that must be done to…

A: spring constant (k) = 23.8 Nmstretch (d) = 0.54 m

Q: Q17. The potential energy of a 0.20-kg particle moving along the x axis is given by U(x) = (8 * 2 -…

A: 17. Given that, Mass of particle, m = 0.2 kg Potential energy, U(x) = 8x2 - 2x4 Distance, x = 1m

Q: A block of 0.250 kg is placed on top of a vertical spring of k = 5 000 N/m. The block is pushed down…

A: The mass of the block is, m=0.250 kg The force constant of the spring is, k=5000 N/m The…

Q: What work is required to make a spring’s length increase by 3.0 m if its spring constant is 60. N/m?

A: The increase in Spring's length is 3.0 m Spring constant is K = 60 N/m

Q: A block of mass 1.4 kg is attached to the right end of horizontal spring (left end is attached to a…

Q: 3. A 320 g block is released from rest on a 37º ramp and slides down the ramp a distance d until it…

A: Given Mass = 320 g = 0.32 kg stiffness of spring = 820 N/m

Q: 17. Two blocks, of masses M = 2.0 kg and 2M, are connected to a spring of spring constant k = 200…

A: Let M denotes the mass of the block on the table, k denotes the spring constant, h denotes the…

Q: A block with a mass of 43.0 kg is pushed with a horizontal force of 150 N. The block moves at a…

Q: 2. A spring on a horizontal surface can be stretched and held 0.5 meters from its equilibrium…

A: Given: The stretching in the spring due to force 50 N is 0.5 m from the equilibrium.

Q: 12. What is the potential energy of an apple that has a mass of 0.12 kg being held 0.8 meters above…

Q: The figure shows an 7.8 kg stone at rest on a spring. The spring is compressed 9.9 cm by the stone.…

Q: 69 physics

Q: Q21. A body of mass 5 kg moving with an acceleration of 5 ms2 gets . displacement of 2m, the work…

Q: 1) When a spring is stretched a distance x, it exerts a restoring force of magnitude F = A x, where…

A: "As per the guidelines i solved the first question alone". 1. Find the work required to stretch the…

Q: A spring powered toy gun is used to fire a 0.2kg ball. The spring has a spring constant of 500N/m…

Q: 3. A spring has a resting length of 10 cm. A 40 N force is required to stretch the spring to a…

Q: A 5.1g marble is fired vertically upward using a spring gun. The spring must be compressed 9.0 cm if…

Q: 6. Suppose an object of mass m = 4kg is at rest at a given location with potential energy of Ui =…

A: Given data: Mass (m) = 4 kg Initial velocity (vi) = 0 m/s Initial potential energy (Ui) = 200 J…

Q: A block of mass 500 g is attached to a spring of spring constant 80 N/m. The other end of the spring…

A: a)the potential energy stored is,

Q: The figure shows an 8 kg stone at rest on a spring. The spring is compressed 10 cm by the stone. A)…

Q: A hydroelectric generator converts kinetic energy of water into electrical energy. Each second 2264…

A: (A) Total energy available per second

Q: 4. The figure shows a spring before and after being compressed. a. Calculate the force constant of…

A: (a) Calculate the length of compression of the spring. x=Lf-Li=10 cm-6 cm=4 cm Here, x is the…

Q: 3. A box (mass = 100 g) is initially connected to a compressed (x = 80 cm) spring (k = 100 N/m) at…

A: Please note : As per answering guidelines I can answer the first three sub-parts of a multisub-part…

Q: A force of 800 N stretches a certain spring a distance of 0.200 m. a. What is the potential energy…

A: It is given that F=800 Nx=0.2 m

Q: A 2.00 kg block slides on a rough horizontal surface. The block hits a spring with a speed of 2.00…

Q: 3. A box (mass = 100 g) is initially connected to a compressed (x = 80 cm) spring (k = 100 N/m) at…

Q: 3.) A 2-kg block is dropped from a height of 1.5 m above the end of a vertical uncompressed spring,…

A: Given : Mass of the block, m = 2 kg Height, h = 1.5 m Force constant of the spring, k = 100 N/m

Q: 5 A block with a mass, mi = 2.5kg, sits a distance d = 85cm from the top of a frictionless ramp at…

A: Given Compression in spring x = 15 cm =0.15 m Spring constant k =1600 N/m Mass m1 =2.5 kg

Q: A freight company uses a compressed spring to shoot 2.00 kgkg packages up a 1.00-mm -high…

A: Elastic potential energy of the spring is the energy stored in it due to change in the natural…

Q: When a 4.00 kg object is hung vertically on a certain light spring that obeys Hooke’s Law, the…

Q: A spring has a spring constant K of 93 N/m. How much must this spring be compressed, in mm, to store…

Q: 5. A 3.5 kg rock is on a spring launcher pointed vertically into the sky. It has a spring constant…

A: Given that:- Mass of the rock=m=3.5kg

Q: 3. A box (mass = 100 g) is initially connected to a compressed (x = 80 cm) spring (k = 100 N/m) at…

Q: hat is the potential energy stored in a 5kg body attached to a spring with a constant 5220N/m…

Q: A 2.75 kg mass is pressed against a horizontal spring (k = 325 N/m) on a frictionless surface. If…

Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

100%

4. A spring has a force constant of 1500 N/m. How much work is required to
extend the spring 0.1m from its relaxed position?
A
1500 J
B
750 J
7.5J
D
150 J
5. Calculate the kinetic energy of a 4.0 g bullet moving at 1000 m/s.
A
1000 J
B
2000 J
3000 J
D
4000 J
6. A child whose mass m = 20 kg, is running through a tunnel a distance 100
m in 20 s. The kinetic energy of the child is:
A
200 J
250 J
400 J
D
100J

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A weight is connected to a spring that is suspended vertically from the ceiling. If the weight is displaced downward from its equilibrium position and released, it will oscillate up and down. (a) If air resistance is neglected, will the total mechanical energy of the system (weight plus Earth plus spring) be conserved? (b) How many forms of potential energy are there for this situation?
A 1.50-kg box rests atop a massless vertical spring with k = 4250 N/m that has been compressed by 15.0 cm from its equilibrium position. The box is released and leaves the spring when it reaches its equilibrium position. What is the maximum height the box reaches above its original position?
A block of mass 300 g is attached to a spring of spring constant 100 N/m. The other end of the spring is attached to a support while the block rests on a smooth horizontal table and can slide freely without any friction. The block is pushed horizontally till the spring compresses by 12 cm, and then the block is released from rest. (a) How much potential energy was stored in the block-spring support system when the block was just released? (b) Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. (c) Determine the speed of the block when it has traveled a distance of 20 cm from where it was released.
Figure CQ15.5 shows graphs of the potential energy of four different systems versus the position of a particle in each system. Each particle is set into motion with a push at an arbitrarily chosen location. Describe its subsequent motion in each case (a), (b). (c). and (d).
A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 47.0 J and a maximum displacement from equilibrium of 0.240 m. (a) What is the spring constant? (b) What is the kinetic energy of the system at the equilibrium point? (c) If the maximum speed of the block is 3.45 m/s, what is its mass? (d) What is the speed of the block when its displacement is 0.160 m? (e) Find the kinetic energy of the block at x = 0.160 m. (f) Find the potential energy stored in the spring when x = 0.160 m. (g) Suppose the same system is released from rest at x = 0.240 m on a rough surface so that it loses 14.0 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant?
A pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane. The string hits a peg located a distance d below the point of suspension (Fig. P8.40). (a) Show that if the sphere is released from a height below that of the peg, it will return to this height after the string strikes the peg. (b) Show that if the pendulum is released from rest at the horizontal position ( = 90) and is to swing in a complete circle centered on the peg, the minimum value of d must be 3L/5. Figure P8.40
An automobile having a mass of 1.00 103 kg is driven into a brick wall in a safety test. The bumper behaves like a spring with constant 5.00 105 N/m and is compressed 3.16 cm as the car is brought to rest. What was the speed of the car before impact, assuming no energy is lost in the collision with the wall?
A spring of spring constant k lies along an incline as shown in Figure P8.27. A block of mass m is attached to the spring. The spring compresses, and the block comes to rest as shown. Find an expression for the change in the Earthblockspring systems potential energy in terms of the parameters given in the figure.
An archer pulls her bowstring back 0.400 m by exerting a force that increases uniformly from zero to 230 N. (a) What is the equivalent spring constant of the bow? (b) How much work does the archer do in pulling the bow? Figure P5.64
A pogo stick has a spring with a force constant of 2.50104 N/m, which can be compressed 12.0 cm. To what maximum height can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40.0 kg? Explicitly show how you follow the steps in the Problem-Solving Strategies for Energy.
Integrated Concepts A toy gun uses a spring with a force constant of 300 N/m to propel a 10.0-g steel ball. If the spring is compressed 7.00 cm and friction is negligible: (a) How much force is needed to compress the spring? (b) To what maximum height can the ball be shot? (c) At what angles above the horizontal may a child aim to hit a target 3.00 m away at the same height as the gun? (d) What is the gun's maximum range on level ground?
A cafeteria tray dispenser supports a stack of trays on a shelf that hangs from four identical spiral springs under tension, one near each corner of the shelf. Each tray is rectangular, 45.3 cm by 35.6 cm. 0.450 cm thick, and with mass 580 g. (a) Demonstrate that the top tray in the stack can always be at the same height above the floor, however many trays are in the dispenser, (b) Find the spring constant each spring should have for the dispenser to function in this convenient way. (c) Is any piece of data unnecessary for this determination?