A spring has a force constant of k-1x104 N/m. If the spring is initially unstretched/uncompressed, How far must it be stretched for its potential energy to be 50J? A. 0.0001 m B. 0.001 m C. 0.01 m D. 0.1 m O B O D O A

A spring has a force constant of k-1x104 N/m. If the spring is initially unstretched/uncompressed, How far must it be stretched for its potential energy to be 50J? A. 0.0001 m B. 0.001 m C. 0.01 m D. 0.1 m O B O D O A

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter14: Vibrations And Waves

Section: Chapter Questions

Problem 48A

See similar textbooks

Related questions

Q: a .11kg ball is launched straight up with a spring. It leaves the spring with a speed of 3.8…

Q: A 3.55-kg block is sliding on a frictionless surface at 6.90 m/s toward a horizontal spring of…

A: The expression for kinetic energy is given by KE=12mv2 Substitute the given values, KE=123.55 kg6.90…

Q: A pogo stick is a children’s toy that consists of a hollow tube with footrests and a spring inside.…

A: Given Data : The mass of the rider is given as m = 35 Kg. The distance by which the spring can be…

Q: An automobile having a mass of 1,000 kg is driven into a brick wall in a safety test. The bumper…

A: Given , M = 1000 kg K = 5.75 x 106 N/m x = 3.1 cm = 0.031 m V = ?

Q: The four wheels of a car are connected to the car’s body by spring assemblies that let the wheels…

Q: The Splatmaster paintball gun uses a spring to accelerate a small paintball from rest and shoot it…

Q: 2. Consider a 2 kg block that is attached to a horizontal spring (spring constant, k = 350 N/m) on a…

A: Mass of the block is m = 2 kg Spring constant is k = 350 N/m Pulling distance of the block is x =…

Q: A spring that is compressed 10.0 cm from its equilibrium position stores 3.42 J of potential energy.…

A: Spring\'s Potential Energy(PE) is given by the equation :

Q: 6. An archer pulls her bow string back 0.400m by exerting a force that increases from zero to 230N.…

A: Here given an archer pulls a string 0.4 m back by exerting a force from 0 to 230 N.We have to…

Q: A 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe…

Q: 25. A pen contains a spring with a spring constant of 250 N/m. When the tip of the pen is in its…

A: 25. Here the final length of compression is (5+6)mm and initial length is 5mm.

Q: A pogo stick is a children’s toy that consists of a hollow tube with footrests and a spring inside.…

A: Given :m=35 kg x =0.33 mh=1m

Q: A 4.0 kg-block attached to a 20 N/m-spring constant spring moves on a frictionless horizontal…

Q: A spring is compressed by a 0.2 kg marble and held stationary. When released, the spring extends 4…

Q: A spring gun shoots out a plastic ball at speed ν. The spring is then compressed twice the distance…

Q: A 0.300 kg mass is attached to a 26.6 N/m spring. It is pulled 0.120 m and released. What is the…

Q: A block of mass 300 g is attached to a spring of spring constant 100 N/m. The other end of the…

A: Given: Mass of block = 300 g, spring constant of spring = 100 N/m, the other end of the spring is…

Q: (1 point) The spring inside of a pinball machine is compressed 0.20 meters. If the spring has 950 J…

Q: 14. After doing all the work, Leni 1000 N got tired and suddenly lost grip on the string. 1000 [N]…

Q: A 320 g object is sitting on a vertical spring that is compressed 4.1 cm from its equilibrium…

A: As the object is sitting on the vertical spring is compressed x = 4.1 cm = 4.1 *10-2 m initial. So…

Q: A 69 kg driver gets into an empty taptap to start the day's work. The springs compress 1.7x10-2 m .…

A: Given m=69kg x=1.7*10^-2 m

Q: A toy gun uses a 0.2-gram pellet as its ammo. The toy uses two parallel springs each with k-500 N/m…

Q: Ax m k

A: When the spring is stretched by an amount x then the restoring force acting on it is F=kx. From the…

Q: A 1.3 kg block is pushed up against a stationary spring, compressing it a distance of 4.2 cm. When…

Q: An 4.00 kg object is attached to a horizontal spring as shown. The spring has an equilibrium length…

Q: An 98-g box is hang vertically from a spring. The box is raised until the spring is compressed 11 cm…

A: Mass of the box m=98 g Initial compression of the spring x=11 cm Maximum extension / Amplitude of…

Q: An automobile having a mass of 1,000 kg is driven into a brick wall in a safety test. The bumper…

Q: We compress the spring in the above system by 0.5 meters. Assume that the spring constant, k = 1,000…

A: (a) Express the relation for the initial potential energy stored in the spring. PEi=12kx2=12×1000…

Q: With no one sitting on it, a certain mattress is .4 m tall. When a 715 N person sits on the…

Q: A 1000 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe…

A: According to the conservation of energy, the loss of gravitational potential energy is equal to the…

Q: A 5kg steel ball is pressed down against a spring (k=4500 N/m) compressing the spring by 25 cm_ The…

Q: A spring is compressed by a 0.2 kg marble and held stationery. When released, the spring extends 4…

A: M= 0.2kg Spring extends 4cm V= 0.68 m/s

Q: A 40 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A: Mass of child (m) = 40 kg Spring constant of the toy (k) = 9500 Nm

Q: A 0.500 kg mass attached to a string (pendulum) is pulled back from its equilibrium position (B) to…

A: Mass = m = 0.500 kg Height of position A = h = 0.200 m Speed at position B = v = ?

Q: 2. A spring has a force constant of 525 N /m. A force of 375 N is applied to the spring. Find the…

A: As per the answering guidelines we will solve only the first problem. Please upload the other…

Q: 12) A spring with a 0.7 kg mass attached is stretched 0.15 m away from equilibrium. If the spring…

A: (a) Write the given values of this problem. m=0.7 kgx=0.15 mk=68.1 N/m

Q: 35. 35. A heavy block is suspended from a vertical spring. The elastic potential energy is stored in…

A: Note: According to Bartleby's guideline first question is to be answered. Please, repost your…

Q: A 1100 kg safe is 2.0 m above a heavy-duty spring when the rope holding the safe breaks. The safe…

A: The gravitational potential energy of the safe is transferred to the spring as elastic potential…

Q: 0 - The potential energy for spring is defined as: O A) U=mgy

A: Potential Energy of spring is defined as the energy possesed by the spring.

Q: A spring is compressed 8.00cm to launch a 35.0g ball horizontally along a frictionless tabletop. The…

Q: A moving 2.90 kg block collides with a horizontal spring whose spring constant is 327 N/m.The block…

Q: An automobile having a mass of 1.00 x 103 kg is driven into a brick wall in a safety test. The…

A: The energy of the car that runs with speed v before it hits the wall, that is the kinetic energy of…

Q: The string on a bow can be described as a spring. A particular bow’s string has a spring constant of…

A: The string on a bow can be described as a spring. A particular bow’s string has a spring constant of…

Q: A 4.20-kg block is sliding on a frictionless surface at 6.95 m/s toward a horizontal spring of…

A: Given: The mass of the block is m=4.20 kg. The velocity is v=6.95 m/s. The spring constant is…

Q: 25-kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals 8750…

Q: You push a 2.0 kg block against a horizontal spring, compressing the spring by 15 cm. Then you…

Q: A 10 kg block is released from point A on a rail as shown in the figure. The BC between the rail…

A: As per the work-energy theorem, Here, U, Wf, f, and d represent the block’s potential energy, the…

Q: An archer pulls her bowstring back 0.370 m by exerting a force that increases uniformly from zero to…

Q: A box of mass 10 kg attached to a spring is pulled to a maximum of 44 cm. The box is released. What…

A: The energy possessed by an object , which moves with a velocity v is known as the kinetic energy of…

Q: Huntress fires a bullet into a 3-kg wooden block resting on a smooth surface, and attached to a…

A: mass of wooden block = M = 3 kg mass of bullet = m =7 g =0.007 kg spring constant = K = 715 N/m…

Q: A spring with spring constant k hangs from the ceiling. A ball of mass m is attached to the spring…

A: mg=kx x=mg/k Total mechanical energy = Energy stored in spring + 12mv2 =12kx2+12mv2 = 12kmgk2+12mv2

Q: The four wheels of a car are connected to the car's body by spring assemblies that let the wheels…

A: Mass , m = 68 kg Car dips by , x = 1.2 cm = 1.2 x 10-2 m To find = Spring constant

Q: A 1200 kg safe is 1.9 m above a heavy-duty spring when the rope holding the safe breaks. The safe…

A: According to the conservation of energy, the loss of gravitational potential energy is equal to the…

Q: A 0.10 kg block suspended from a spring is pulled to 8.0 cm below its equilibrium position and…

A: The velocity of the block, when it crosses from the equilibrium position is,The angular frequency of…

Q: 4. A spring with an equilibrium length of 50.0 cm is holding a 4.00kg mass. The mass causes the…

A: Given:- The length of the spring is L = 50 cm = 0.5 m The mass of the object is m = 4.0 kg The…

Q: A toy bow is used to fire an arrow directly upwards. The spring constant of the bowstring is 17 N/m,…

A: Given : Spring constant (k) = 17 N/m Mass of an arrow (m) = 0.013 kg Drawn length (x) = 0.15 m

Q: A 0.220-kg block resting on a frictionless, horizontal surface is attached to a spring having force…

A: Solution: Note: As per rules of Bartleby, solutions are provided to first three sub-questions only.…

Q: A 43 kg student jumps off a bridge with a 14-m-long bungee cord tied to his feet. The mass-less…

A: mass of student (m) = 43 kg Length of cord (L) = 14 m force constant (k) = 399 Nm

Q: Al dl (a) What is the equivalent spring constant of the bow? N/m (b) How much work is done in…

A: Given, Pull in bowstring , x = 0.355m Force = 0 to 255 N We know that force = spring constant…

Q: A 1 kg block on a spring is stretched out 0.5 meters. What will its speed be when it reaches its…

A: The given data are: m=1 kgx=0.5 mk=100 N/m Here, m, x, and k represent the mass, stretched length,…

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

A spring has a force constant of k=1x104 N/m. If the spring is initially unstretched/uncompressed, How far must it be
stretched for its potential energy to be 50J?
A.0.0001 m
B. 0.001 m
С. 0.01 m
D. 0.1 m
C
O B
O D
O A

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

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

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?
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
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
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 is done in pulling the bow?
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?
When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force constant of the spring? (b) Will the spring be compressed more when he hops down the road?
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 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 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) How much will a spring that has a force constant of 40.0 mm be stretched by an object with a mass of 0.500 kg when hung motionless from the spring? (b) Calculate the decrease in gravitational potential energy of the 0.500kg object when it descends this distance. (c) Part of this gravitational energy goes into the spring. Calculate the energy stored in the spring by this stretch, and compete it with the gravitational potential energy. Explain where the rest of the energy might go.
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?
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?