A spring is hanging from the ceiling. A physicist with mass of 80 kg jumps up and grabs ahold of the spring. He then bounces up and down without touching the floor. How far down does the spring stretch from its rest length? The spring constant is k = 3768 N/m.

A spring is hanging from the ceiling. A physicist with mass of 80 kg jumps up and grabs ahold of the spring. He then bounces up and down without touching the floor. How far down does the spring stretch from its rest length? The spring constant is k = 3768 N/m.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 5OQ: A system consists of five particles. How many terms appear in the expression for the total...

See similar textbooks

Related questions

Q: The massless spring of a spring gun has a force constant k = 14.5 N/cm. When the gun is aimed…

Q: The bob of a simple pendulum has a maximum speed of vmax = 1 m/s. What would be the bob's height…

A: Given:- Vmax= 1 m/s Point to remember:- Maximum velocity is acquired when the bob passed through its…

Q: Force (newtons) 100 80 60 40 20 0 0 64 J 80 J 32 J 0.1 O 100 J 0.2 0.3 Force vs. Displacement 0.4…

A: Given: displacement, x=0.8 m To find: Workdone, W=?

Q: a 1.5×104 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down.…

A: GIVEN THAT m= 1.5 x 104 kg k= 6.3 x 104 N/m x= 33 m potential energy of spring = 1/2…

Q: pendulum swings back and forth up to a maximum height of 1.52 m. Neglecting friction, what is the…

Q: A 2.50 kg textbook is forced against a horizontal spring of negligible mass and having a spring…

Q: How long will a vacuum cleaner

Q: A spring under a platform is compressed 18.0 cm from its equilibrium position when a 45.0 kg child…

Q: A 34 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

Q: A spring is hanging from the ceiling. A physicist with mass 60 kg jumps up and grabs ahold of the…

Q: 5. Calculate the kinetic energy of a 4.0 g bullet moving at 1000 m/s. A 1000J B 2000 J 3000 J D 4000…

A: 5. m = 4 g = 4 x 10-3 kg , v = 1000 m/s Kinetic energy = 1/2 mv2 Kinetic energy = 1/2 (4 x…

Q: 0 A cannon shoots a 5 kg cannonball out of its barrel with a speed of 65 m/s. If the cannonball…

A: Given Data:- First Problem:- Mass of the cannonball is m=5 kg Length of the barrel of the cannonball…

Q: A spring of spring constant k = 327.6 N/m rests on a horizontal frictionless surface. A 0.45kg…

Q: Robert weighs 650N and is sliding down a frictionless 15 m tall hill. He starts at the top with a…

Q: A spring having a spring constant of 500.0 N/m is permanently attached to a 4.00kg mass initially at…

Q: A 950 kg car accelerates from rest with a constant power of 145 hp. Neglecting air resistance, what…

A: Mass of the car=950kgPower =145hp=108126W (1hp=745.7W)Energy gained in…

Q: A 500-g mass oscillates horizontally at the end of a spring with the spring constant of 360 N/m.…

A: Given: Mass m=500 g, Spring constant k=360 N/m, Displacement from the equilibrium x=12 cm=0.12 m.…

Q: Calculate the potential energy of an object with mass m = 140 g at a height h = 11 cm. Use g = 9.803…

Q: A student pushes a baseball of m = 0.19 kg down onto the top of a vertical spring that has its lower…

A: (a) Apply energy conservation on the baseball and spring system, and solve for the speed of the ball…

Q: For the potential-energy diagram shown, what is the maximum speed of a 2.0 g particle that…

A: Given: The mass of the particle is m=2 g. From figure the energy at x=2 mm and x=8 mm is 5 J.…

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

Q: 43. A 200 g mass stretches a spring 40 cm. How much Potential energy does the spring have? A. .392 J…

Q: 50 N/m |0.5 kg X = -0.3 m X = 0m X = 0.3 m A block of mass 0.5 kg on a horizontal surface is…

A: We will use Hooke's Law for this :- F = -k x Negative sign denotes that the force…

Q: The cable of the 1800 kg elevator cab snaps when the cab is at rest at the first floor, where the…

A: Since there are multiple sub-parts posted, we will answer the first three sub-parts for you. If you…

Q: An airplane of mass 4500 kg is cruising at a speed of 49.0 m/s at an altitude of 175 m. What is its…

A: Given data: Mass of the airplane, m=4500 kg Speed of the airplane, v=49.0 m/s Altitude of the…

Q: A 4.0 kg block on a frictionless table is attached to a horizontal spring with spring constant k =…

Q: A 20 kg mass is fastened to a spring of force constant k 250 N/m by a string passing over a light…

A: Given: k = 250 N/m, x = 0.4 m, m = 20 kg

Q: . When a spring is stretched 0.200 meter from its equilibrium position, it possesses a potential…

A: Given data: Stretch in spring (x) = 0.200 m Potential energy (P) = 10.0 J Required: Spring constant…

Q: To form a pendulum, a 0.092 kg ball is attached to one end of a rod of length 0.62 m and negligible…

Q: The spring return constant of a spring is 2000 N/m. How much will it crash in metres if a 100 kg…

Q: The Child-Launcher 3000 A super-slide at a county fair has been modified with a horizontal spring…

Q: A 31 kg child uses a pogo stick to bounce up and down. The spring constant, k, of the toy equals…

A: Given data: Mass of child is, m=31 kg. Spring constant of toy is, k=8,700 N/m.

Q: The spring in a dart gun has a spring constant of 20.0 N/m. The spring is compressed 8.00 x 10-2 m…

A: Given data: Spring constant (k) = 20.0 N/m Compression in spring (x) = 8.00 × 10-2 m Mass of dart…

Q: A 10 kg runaway grocery cart runs into a spring with spring constant 250 N/m and compresses it by 60…

Q: A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant…

A: We know,

Q: It takes 1700 J of work to stretch a spring from its natural length of 1 m to a length of 5 m. Find…

A: Work done = 1700 J natural length = 1 m final length = 5 m

Q: a pendulum of length L= 1.25 m. Its bob (which effectively has all the mass) has speed v0 when the…

A: Since, you have uploaded a question with multiple sub-parts, we will solve the first three sub-parts…

Q: What is the speed of a 55 kg woman running with a kinetic energy of 1600 J? a. 7.77 m/s c. 7.63 m/s…

A: Given: The mass (m) of a woman is 55 Kg. The kinetic energy (K.E.) of the woman is 1600 J.…

Q: How far must you stretch a spring with k k = 900 N/m N / m to store 240 J J of energy?

A: The solution is given below

Q: A spring has a force constant of 12.0 N/m and a rest length of 0.10 m. 0.375 J of energy are used to…

A: Work done on the spring mass system is equal to the change in elastic potential energy in the…

Q: How long will a vacuum cleaner (800 W) runs on 4x10° J of energy? O 13 hrs 30 min 51 sec O 13 hrs 45…

A: Given, Power,P=800 W Energy,E=4×107J (As per option)

Q: ornament of mass 40.6 g is attached to a vertical ideal spring with a force constant (spring…

A: Given Mass m = 40.6 × 10-3 kg Spring constant k = 45.6 N/m

Q: A student lifts a 2.1‑kg physics book to a height of 64 cm and then puts it down to its original…

Q: The cable of the 1600 kg elevator cab in the figure snaps when the cab is at rest at the first…

A: Given: The mass of the elevator is 1600 kg. The distance from the bottom is 3.1 m. The spring…

Q: It requires 49 J of work to stretch an ideal very light spring from a length of 1.4 m to a length of…

Q: The return constant of a spring is 300 N/m. Over what length should it be stretched to store 80J of…

A: Given data: Spring constant (k) = 300 N/m Potential Energy (U) = 80 J Required: Length stretched…

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

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

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 small 0.65-kg box is launched from rest by a horizontal spring as shown in Figure P9.50. The block slides on a track down a hill and comes to rest at a distance d from the base of the hill. The coefficient of kinetic friction between the box and the track is 0.35 along the entire track. The spring has a spring constant of 34.5 N/m, and is compressed 30.0 cm with the box attached. The block remains on the track at all times. a. What would you include in the system? Explain your choice. b. Calculate d. c. Compare your answer with your answer to Problem 50 if you did that problem.
A block is placed on top of a vertical spring, and the spring compresses. Figure P8.24 depicts a moment in time when the spring is compressed by an amount h. a. To calculate the change in the gravitational and elastic potential energies, what must be included in the system? b. Find an expression for the change in the systems potential energy in terms of the parameters shown in Figure P8.24. c. If m = 0.865 kg and k = 125 N/m, find the change in the systems potential energy when the blocks displacement is h = 0.0650 m, relative to its initial position. FIGURE P8.24
A system consists of five particles. How many terms appear in the expression for the total gravitational potential energy of the system? (a) 4 (b) 5 (c) 10 (d) 20 (e) 25
A childs pogo stick (Fig. P7.69) stores energy in a spring with a force constant of 2.50 104 N/m. At position (x = 0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position (x = 0), the spring is relaxed and the child is moving upward. At position , the child is again momentarily at rest at the top of the jump. The combined mass of child and pogo stick is 25.0 kg. Although the boy must lean forward to remain balanced, the angle is small, so lets assume the pogo stick is vertical. Also assume the boy does not bend his legs during the motion. (a) Calculate the total energy of the childstickEarth system, taking both gravitational and elastic potential energies as zero for x = 0. (b) Determine x. (c) Calculate the speed of the child at x = 0. (d) Determine the value of x for which the kinetic energy of the system is a maximum. (e) Calculate the childs maximum upward speed. Figure P7.69
In each situation shown in Figure P8.12, a ball moves from point A to point B. Use the following data to find the change in the gravitational potential energy in each case. You can assume that the radius of the ball is negligible. a. h = 1.35 m, = 25, and m = 0.65 kg b. R = 33.5 m and m = 756 kg c. R = 33.5 m and m = 756 kg FIGURE P8.12 Problems 12, 13, and 14.
A spring has a force constant of 12.0 N/m and a rest length of 0.10 m. 0.375 J of energy are used to stretch the spring. What is the new spring length?
A 1.5 kg block is attached to a horizontal spring, with the other end attached to a wall, and the block is sliding back and forth on a horizontal surface without friction. If the spring constant of the spring is 57 N/m, and the maximum compression of the spring is 0.40 m, what is the maximum speed of the block as it moves back and forth? a) 2.0 m/s b) 2.5 m/s c) 3.0 m/s d) 3.5 m/s e) 4.0 m/s
A pendulum with a ball of mass 6.87 kg and length 14.2 m is released from rest at an angle of 54.18 degrees. What is the kinetic energy, in J, of the mass when it is at and angle of 22.55 degrees?
A block of mass 100 g, resting on a frictionless surface, is pushed up against a spring compressing it and doing work of 20 J on it. When the block is released, the spring exerts a force on it and causing it to accelerate. The speed of the block as it loses contact with the spring is a. 5 m/s b. 10 m/s c. 15 m/s d. 20 m/s e. There is insufficient information to determine the speed of the block.
A 8 kg pendulum is swinging back-and-forth. When the pendulum is at some point between its maximum height and its minimum height, it has velocity 3.9 m/s and a height 3.6 m above the minimum. How much total energy does the pendulum have?
How long will a vacuum cleaner (800 W) runs on 4x107 J of energy? a.) 13 hrs 30 min 51 sec b.) 13 hrs 45 min 44 sec c.) 13 hrs 53 min 20 sec d.) 13 hrs 54 min 14 sec
A pendulum is made by letting a 3.0-kg object swing at the end of a string that has a length of 2.0 m. The maximum angle the string makes with the vertical as the pendulum swings is 30°. What is the speed of the object at the lowest point in its trajectory? Question 3 options: 1.9 m/s 2.3 m/s 2.0 m/s 2.2 m/s 2.1 m/s