Q.70

Expert-verified
Found in: Page 230

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

A weather rocket generates a thrust of The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is , is anchored to the ground. a. Initially, before the engine is ignited, the rocket sits at rest on top of the spring. How much is the spring compressed? b. After the engine is ignited, what is the rocket’s speed when the spring has stretched

a. The compression in the spring is

b. The speed of rocket is

See the step by step solution

Step 1: Content Introduction

The conservation of energy is

Considering the following diagram,

The origin of the coordinate system is placed on a free ed of the spring.

Step 2: Explanation (Part a)

The rocket is initially at rest. Apply the newton's second law to balance the forces.

Therefore,

Step 3: Explanation (Part b)

Use the equation for conservative energy when