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A 10.2 kg weather rocket generates a thrust of 200 N. The
Chapter 11, Problem 72CP(choose chapter or problem)
Problem 72CP
A 10.2 kg weather rocket generates a thrust of 200 N. The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is 500 N/m, 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 40 cm? For comparison, what would be the rocket’s speed after traveling this distance if it weren’t attached to the spring?
Questions & Answers
QUESTION:
Problem 72CP
A 10.2 kg weather rocket generates a thrust of 200 N. The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is 500 N/m, 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 40 cm? For comparison, what would be the rocket’s speed after traveling this distance if it weren’t attached to the spring?
ANSWER:
Step 1 of 5
(a)
In the given problem, we need to calculate the compression of the spring.
On the top of a vertical spring with spring constant \(k=500 \mathrm{~N} / \mathrm{m}\), a rocket with mass \(m=10.2 \mathrm{~kg}\) is at rest.During this process, spring undergoes a compression of \(\Delta y =?\) as shown in the figure (i) and (ii) below.