A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant k = 504 Newtons/meters. The spring is stretched until the Potential Energy of the spring is 2.52 Joules. What is the displacement ( in meters) in the spring?

A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant k = 504 Newtons/meters. The spring is stretched until the Potential Energy of the spring is 2.52 Joules. What is the displacement ( in meters) in the spring?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A conservative force acting on a particle varies as F= -Ax+ Bx, where F is in newtons, x is in meters and A and B are constants. What is the change in the potential energy of the particle between x,= 2 m and x = 3 m, in terms of A and B
A spring contains 378 J of potential energy. If the spring has a constant of 56 N/m, what is the distance the spring is stretched?
A bowling ball of mass m = 1.2 kg is launched from a spring compressed by a distance d = 0.31 m at an angle of θ = 36° measured from the horizontal. It is observed that the ball reaches a maximum height of h = 4.6 m, measured from the initial position of the ball. Let the gravitational potential energy be zero at the initial height of the bowling ball. what is the spring constant k, in newtons per meters? k = ?
The figure shows an 8.4 kg stone at rest on a spring. The spring is compressed 12 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 30 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? k (a) Number i Units (b) Number i Units (c) Number Units (d) Number Units > > >
Answer parts a, b and c of the following question.7. a) You want to store 1,000 J of energy in an ideal spring when it is compressed by only 2.5 cm. What should be the force constant (spring constant) of this spring? b) A very light ideal spring having a spring constant (force constant) of 8.2 N/cm is used to lift a 2.2-kg tool with an upward acceleration of 3.25 m/s2. If the spring has negligible length when it us not stretched, how long is it while it is pulling the tool upward? c) How fast must a 6.0-kg cat run to have a kinetic energy of 150 J?
The figure shows an 7.9 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 26 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units
A vertical spring with a spring constant k = 40 N/CM is compressed 10.0 cm from equilibrium. A ball of mass 300 g is launched from the spring. What maximum height does the ball reach above its starting position.
The figure shows an 8.2 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 33 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number i Units N/m (b) Number Units (c) Number Units (d) Number Units cm
Suppose a stretched spring is used to supply power to a light bulb. The spring has a spring constant k=34.0 N/m and is stretched from its equilibrium length (which is the length where the spring force is zero) by a length 2.24 m. If the spring returns to its equilibrium length in 55.3 seconds, what is the average power in Watts that could be transferred from the spring to the light bulb?
Your answer is partially correct. The figure shows an 7.8 kg stone at rest on a spring. The spring is compressed 9.9 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 26 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number 172 Units N/m (b) Number 49.75 Units J (c) Number 79.75 Units (d) Number 64.7 Units cm