**Problem Statement:**An object of mass 0.5 kg is propelled up an incline of angle 17 degrees by a spring with a constant of 11.4 N/m. The horizontal surface is frictionless. The coefficient of kinetic friction between the block and the incline is 0.12. If the spring is compressed by 0.6 m, how high (h shown on the figure) will the object go?Answer in meters with two decimals.**Diagram Explanation:**The diagram displays a block on the left side, represented by a green rectangle with a mass \( m \). The block is connected to a spring with spring constant \( k \) and compression \( x \). The spring is on a horizontal frictionless surface. The incline makes an angle \( \theta \) of 17 degrees from the horizontal. It is depicted in a pink color with the coefficient of kinetic friction \( \mu_k = 0.12 \). The spring is initially compressed by 0.6 meters, and the task is to determine how high the object will go along the slope, signified by \( h \) with a dashed line indicating the vertical height to be calculated.

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An object of mass 0.5 kg is propelled up an incline of angle 17 degrees by a spring with a constant of 11.4 N/m. The horizontal surface is frictionless. The coefficient of kinetic friction between the block and the incline is 0.12. If the spring is compressed by 0.6 m, how high (h shown on the f will the object go? Answer in m with two decimals. k, x It-?

An object of mass 0.5 kg is propelled up an incline of angle 17 degrees by a spring with a constant of 11.4 N/m. The horizontal surface is frictionless. The coefficient of kinetic friction between the block and the incline is 0.12. If the spring is compressed by 0.6 m, how high (h shown on the f will the object go? Answer in m with two decimals. k, x It-?

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. 

Question

**Problem Statement:**

An object of mass 0.5 kg is propelled up an incline of angle 17 degrees by a spring with a constant of 11.4 N/m. The horizontal surface is frictionless. The coefficient of kinetic friction between the block and the incline is 0.12. If the spring is compressed by 0.6 m, how high (h shown on the figure) will the object go?

Answer in meters with two decimals.

**Diagram Explanation:**

The diagram displays a block on the left side, represented by a green rectangle with a mass \( m \). The block is connected to a spring with spring constant \( k \) and compression \( x \). The spring is on a horizontal frictionless surface.

The incline makes an angle \( \theta \) of 17 degrees from the horizontal. It is depicted in a pink color with the coefficient of kinetic friction \( \mu_k = 0.12 \).

The spring is initially compressed by 0.6 meters, and the task is to determine how high the object will go along the slope, signified by \( h \) with a dashed line indicating the vertical height to be calculated.

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