**Physics Problem: Spring and Ramp Dynamics****Part (a)**The block, starting from rest, slides down the ramp a distance **61 cm** before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest?**Part (b)**After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right after it comes off the spring?**Part (c)**What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed? **Problem 5:** A block of mass **4.2 kg** is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of **490 N/m** (refer to the figure). The angle of the ramp with respect to the horizontal is **39°**.*Note: The referred figure likely illustrates the block on the inclined plane with the spring at the bottom, depicting the angle of inclination and relevant forces acting on the block.*

Answered: Image /qna-images/answer/e6a7400d-a93a-4bce-98f4-af7c28605669.jpg

Problem 5: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 490 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 39⁰

Problem 5: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 490 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 39⁰

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)...

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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. 

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**Physics Problem: Spring and Ramp Dynamics**

**Part (a)**
The block, starting from rest, slides down the ramp a distance **61 cm** before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest?

**Part (b)**
After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right after it comes off the spring?

**Part (c)**
What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed?

**Problem 5:** A block of mass **4.2 kg** is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of **490 N/m** (refer to the figure). The angle of the ramp with respect to the horizontal is **39°**.

*Note: The referred figure likely illustrates the block on the inclined plane with the spring at the bottom, depicting the angle of inclination and relevant forces acting on the block.*

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