8- **Physics Problem: Maximum Compression of a Spring****Problem Statement:**An object moving along a horizontal track collides with and compresses a light spring (which obeys Hooke's Law) located at the end of the track. The spring constant is **38.7 N/m**, the mass of the object is **0.240 kg**, and the speed of the object is **1.70 m/s** immediately before the collision.**Question (a):** Determine the spring's maximum compression (in meters) if the track is frictionless.[Answer Box: ________ m]**Analysis:**To solve this problem, you would use the conservation of energy principle. The initial kinetic energy of the object is converted into the potential energy stored in the spring upon maximum compression. Use the formula:\[ \frac{1}{2}mv^2 = \frac{1}{2}kx^2 \]where:- \( m \) is the mass of the object,- \( v \) is the initial velocity of the object,- \( k \) is the spring constant,- \( x \) is the maximum compression of the spring.By rearranging and solving for \( x \), you determine the spring's maximum compression.

Let x be defined as the spring’s maximum compression. Also given the track is frictionless.…

An object moving along a horizontal track collides with and compresses a light spring (which obeys Hooke's Law) located at the end of the track. The spring constant is 38.7 N/m, the mass of the object 0.240 kg and the speed of the object is 1.70 m/s immediately before the collision. (a) Determine the spring's maximum compression (in m) if the track is frictionless.

An object moving along a horizontal track collides with and compresses a light spring (which obeys Hooke's Law) located at the end of the track. The spring constant is 38.7 N/m, the mass of the object 0.240 kg and the speed of the object is 1.70 m/s immediately before the collision. (a) Determine the spring's maximum compression (in m) if the track is frictionless.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter16: Oscillatory Motion And Waves

Section: Chapter Questions

Problem 44PE: (a) How much will a spring that has a force constant of 40.0 mm be stretched by an object with a...

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Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

**Physics Problem: Maximum Compression of a Spring**

**Problem Statement:**
An object moving along a horizontal track collides with and compresses a light spring (which obeys Hooke's Law) located at the end of the track. The spring constant is **38.7 N/m**, the mass of the object is **0.240 kg**, and the speed of the object is **1.70 m/s** immediately before the collision.

**Question (a):**
Determine the spring's maximum compression (in meters) if the track is frictionless.

[Answer Box: ________ m]

**Analysis:**
To solve this problem, you would use the conservation of energy principle. The initial kinetic energy of the object is converted into the potential energy stored in the spring upon maximum compression. Use the formula:

\[ \frac{1}{2}mv^2 = \frac{1}{2}kx^2 \]

where:
- \( m \) is the mass of the object,
- \( v \) is the initial velocity of the object,
- \( k \) is the spring constant,
- \( x \) is the maximum compression of the spring.

By rearranging and solving for \( x \), you determine the spring's maximum compression.

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