A spring (k = 190 N/m) is fixed at the top of a frictionless plane inclined at angle = 34°. A 1.4 kg block is projected up the plane, an initial position that is distance d = 0.90 m from the end of the relaxed spring, with an initial kinetic energy of 28 J. (a) What is t kinetic energy of the block at the instant it has compressed the spring 0.10 m? (b) With what kinetic energy must the block be projected up the plane if it is to stop momentarily when it has compressed the spring by 0.50 m? 8

A spring (k = 190 N/m) is fixed at the top of a frictionless plane inclined at angle = 34°. A 1.4 kg block is projected up the plane, an initial position that is distance d = 0.90 m from the end of the relaxed spring, with an initial kinetic energy of 28 J. (a) What is t kinetic energy of the block at the instant it has compressed the spring 0.10 m? (b) With what kinetic energy must the block be projected up the plane if it is to stop momentarily when it has compressed the spring by 0.50 m? 8

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Description: A spring \((k = 190 \, \text{N/m})\) is fixed at the top of a frictionless plane inclined at an angle \(\theta = 34^\circ\). A 1.4 kg block is projected up the plane from an initial position that is a distance \(d = 0.90 \, \text{m}\) from the end o

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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Question

A spring \((k = 190 \, \text{N/m})\) is fixed at the top of a frictionless plane inclined at an angle \(\theta = 34^\circ\). A 1.4 kg block is projected up the plane from an initial position that is a distance \(d = 0.90 \, \text{m}\) from the end of the relaxed spring, with an initial kinetic energy of 28 J.

(a) What is the kinetic energy of the block at the instant it has compressed the spring 0.10 m?

(b) With what kinetic energy must the block be projected up the plane if it is to stop momentarily when it has compressed the spring by 0.50 m?

**Diagram Explanation:**

The diagram shows a block on a plane inclined at an angle \(\theta = 34^\circ\). The inclined plane is represented with a brown color and the block is shown in blue. A spring is fixed at the top of the plane, indicated in gray. The initial distance \(d = 0.90 \, \text{m}\) from the block to the relaxed spring is marked with an arrow. An arrow along the incline represents the direction in which the block is projected up the plane.

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