Question

A 10.0 kg weather rocket generates a thrust of 230 NN . The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is 480 N/mN/m , is anchored to the ground. Part A Initially, before the engine is ignited, the rocket sits at rest on top of the spring. How much is the spring compressed

Answer 1

Answer: 0.2m

Explanation: Firstly only the Rocket's Weight Compress the spring which can be found by

$F_r=M_r*g\\F_r=10*9.81\\F_r=98.1N$

According to Hooks Law

$F_r=k*x\\x=F_r/k\\x=98.1/480\\x=0.2m$

The part b and c of this question is done in the attachment