A 1500-kg car moving at 20 m/s hits an initially uncompressed horizontal ideal spring. What is the spring constant if the maximum distance the spring compresses is 0.5 m? 2.4 x 106 N/m 3.0 x 106 N/m 2.0 x 106 N/m 1.0 x 106 N/m

A 1500-kg car moving at 20 m/s hits an initially uncompressed horizontal ideal spring. What is the spring constant if the maximum distance the spring compresses is 0.5 m? 2.4 x 106 N/m 3.0 x 106 N/m 2.0 x 106 N/m 1.0 x 106 N/m

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...

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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 1500-kg car moving at 20 m/s hits an initially uncompressed horizontal ideal spring. What is the spring constant if the maximum distance
the spring compresses is 0.5 m?
2.4 x 10° N/m
3.0 x 106 N/m
2.0 x 106 N/m
1.0 x 106 N/m

Expert Solution

Step 1

The mass of the car is m = 1500 kg.

The speed of the car is v = 20 m/s.

The compression in the spring is x = 0.5 m

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