A coiled spring in a waist trimming exerciser requires a force of 54N to compress it by 0.20m. a. Find the force constant of the spring. b. How much force is needed to compress the spring by 0.50m? c. What is its potential energy when compressed by 0.50m?

A coiled spring in a waist trimming exerciser requires a force of 54N to compress it by 0.20m. a. Find the force constant of the spring. b. How much force is needed to compress the spring by 0.50m? c. What is its potential energy when compressed by 0.50m?

University Physics Volume 1

18th Edition

ISBN:9781938168277

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

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

Chapter15: Oscillations

Section: Chapter Questions

Problem 35P: When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force...

See similar textbooks

Related questions

Q: What is the total mechanical energy of this box-spring system

A: Total mechanical energy is 16.25 Joules. Explanation is in next step.

Q: A work of 12 J is needed to stretch a certain spring by 30 cm a) what is the force constant of the…

A: Given data: The work needed to stretch the spring, W=12 J. The distance through which the spring is…

Q: In the Back to the Future movies (https://openstaxcollege.org/l/21bactofutclip) , a DeLorean car of…

Q: B7. Write an expression for the total potential energy of the system when the spring is stretched an…

A: We are authorized to answer one problem at a time, since you have not mentioned which one you are…

Q: 3. A slingshot rubber band with a spring constant of 850 N/m was stretched 0.33 m. A 0.4 kg rock was…

Q: A 50.0 kg student climbs a 5.00 m long rope and stops at the top. (a) What must her average speed be…

A: Given Mass of student m=50kg length of rope h=5m power P=300W

Q: Phreddy took a trip to Mexico where the famed cliff divers take the plunge. He climbs to the top of…

A: We are allowed to give the explanation of three subparts of a question only which is given below.…

Q: A force of 50 N stretches a spring in the figure by 200 mm. (a) What is the spring constant k? (b)…

Q: A ball is dropped from 13.6 ft above the ground. Assume that air-drag is negligible in this case.…

A: GivenHeight h = 13.6 ftKnownAcceleration due to gravity g = 32.2 ft/s2

Q: A 3kg object is released from the rest at a point A on a frictionless track. Assuming that the…

A: Given Mass of object m=3 kg Gravitational potential energy is zero at point C and E

Q: A 50 N force causes a spring to compress 0.09 m. What is the spring constant? What is the potential…

A: GIVEN Applied Force = 50 N Distance to Equilibrium position = 0.09 m We have to find out the…

Q: At the low point in its swing, a pendulum bob with a mass of 0.7 kg has a velocity of 11 m/s. (a)…

Q: The figure shows an 7.7 kg stone at rest on a spring. The spring is compressed 10 cm by the stone.…

Q: A spring exerts a force of 100 N when compressed 0.15m. a) Determine the spring constant and…

A: Given values - Fk=100 Nx=0.15 m According to Hooke's law - F=kxWhere,k=Spring constant Rearranging…

Q: Your answer is partially correct. The figure shows an 7.8 kg stone at rest on a spring. The spring…

Q: The figure shows an 7.7 kg stone at rest on a spring. The spring is compressed 10 cm by the stone.…

A: As per the answering guidelines we will solve first three parts. Please upload rest of the parts…

Q: What is the spring potential energy stored in a spring with a spring constant of 678N/m when it is…

Q: A 5.2 g marble is fired vertically upward using a spring gun. The spring must be compressed 8.9 cm…

Q: A spring exerts a force of 24 N when it is stretched 0.3 m beyond its natural length. How much work…

A: Given Data : The Force exerted by the spring is given as F0.3=24N The distance by which the spring…

Q: otential energy stored in a spring with a spring constant of 100. N/m when it is stretched 0.10 m…

A: We know that the formula of the potential energy of the spring is given as P.E = 12kx2 where k i is…

Q: An 80 N force causes a spring to compress 0.15 m. What is the spring constant? What is the potential…

A: Given data: Force (F) = 80 N Comparison in spring (x) = 0.15 m Required: Spring constant (k) and…

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

A: Given:The mass of the block is 2 kg. The height of the block with respect to the free end of the…

Q: Mark pushes his broken car 190 mm down the block to his friend's house. He has to exert a 160 NN…

A: distance moved = 190 m force exerted = 160 N speed = constant

Q: A woman is rollerblading through a park. If she starts from rest, and then reaches a kinetic energy…

A: Since the woman is starting from rest, her initial kinetic energy will be zero. Final kinetic energy…

Q: A bicycle and rider going 14 m/s approach a hill. Their total mass is 93 kg. (a) What is their…

A: Given data: Initial velocity (v) = 14 m/s Mass (m) = 93 kg

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

Q: 4. A spring has a force constant of 1500 N/m. How much work is required to extend the spring 0.1m…

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

Q: an 8.00 kg stone at rest on a spring.The spring is compressed 10.0 cm by the stone. (a) What is the…

A: Given: Mass , m = 8 kg Initial compression , x = 10 cm = 0.1 m

Q: An archer pulls her bowstring back 0.398 m by exerting a force that increases uniformly from zero to…

A: (a) The equivalent spring constant is found by F = kx Solve the above equation for k k=Fx=231…

Q: ana's father climbs the stairs in their house and increases his potential energy by 2000 j when he…

Q: 1. A box with a mass of 3.0 kg is accelerated from rest by a constant force across a floor at a rate…

Q: An archer pulls her bowstring back 0.408 m by exerting a force that increases uniformly from zero to…

Q: The figure shows an 7.9 kg stone at rest on a spring. The spring is compressed 11 cm by the stone.…

A: Given Mass m = 7.9 kg Compression y1 = -11 cm = 0.11 m Compression y2 = -26 cm = 0.26 m

Q: A spring of spring constant 25 N/m is to be compressed by 100 cm. a) What is the maximum force…

Q: A bicycle and rider going 13 m/s approach a hill. Their total mass is 94 kg. (a) What is their…

Q: Suppose that 60 J of work is done to stretch a bow a distance of 0.5 m. (a) What is the increase…

A: Given: The work done is 60 J. The stretch in the bow is 0.5 m.

Q: Q3/ A/ what is the difference between potential energy and elastic potential energy? B/ Prove that…

A: (A) Potential energy :- Potential energy is energy which is stored in the object and depends on…

Q: Suppose you are working on designing a t-shirt launch cannon that works via a spring mechanism and…

A: Launching angle (θ) = 45oLaunching speed (u) = 30 m/s Length of cannon (L) = 0.2 m mass of t shirt…

Q: 17. A water pump is pumping up water from a well which is (a) How much work must be done by the pump…

Q: A 65.0-kg runner has a speed of 5.20 m/s at one instant during a long-distance event. (a) What is…

Q: At the low point in its swing, a pendulum bob with a mass of 0.15kg has a velocity of 14 m/s. A.)…

A: Given,mass of the bob of the pendulum, m = 0.15 kgvelocity of the bob at the lowest point, v == 14…

Q: Your answer is partially correct. The figure shows an 7.8 kg stone at rest on a spring. The spring…

Q: An object with a mass of 5.13 kg placed on top of a spring compresses it by 0.25 m. a) What is the…

Question

1. A coiled spring in a waist trimming exerciser requires a force of 54N to compress it by 0.20m.

a. Find the force constant of the spring.

b. How much force is needed to compress the spring by 0.50m?

c. What is its potential energy when compressed by 0.50m?

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

Similar questions

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
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?
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 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?
Integrated Concepts (a) What force must be supplied by an elevator cable to produce an acceleration of 0.800 m/s2 against a 200-N frictional force, if the mass of the loaded elevator is 1500 kg? (b) How much work is done by the cable in lifting the elevator 20.0 m? (c) What is the final speed of the elevator if it starts from rest? (d) How much work went into thermal energy?
(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.
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 25.0-kg child on a 2.00-m-long swing is released from rest when the ropes of the swing make an angle of 30.0 with the vertical. (a) Neglecting friction, find the childs speed at the lowest position. (b) If the actual speed of the child at the lowest position is 2.00 m/s, what is the mechanical energy lost due to friction?
. A bicycle and rider going 10 m/s approach a hill. Their total mass is 80 kg. (a) What is their kinetic energy? (b) If the rider coasts up the hill without pedaling, how high above its starting level will the bicycle be when it finally rolls to a stop?
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.
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.
(a) How long will it take an 850-kg car with a useful power output of 40.0 hp (1hp=746W) to reach a speed of 15.0 m/s, neglecting friction? (b) How long will this acceleration take if the car also climbs a 3.00-m-high hill in the process?