Question

A 2.5-kg rock is dropped off a 32-m cliff and hits a spring, compressing it 57 cm. What is the spring constant? Round your answer to two significant figures.
The spring constant, k, is
StartFraction N over m EndFraction.

Answer 1

Answer:

480

Explanation:

2021

Answer 2

Answer: 4800 N/m

Explanation:

Given

mass of rock $m=2.5\ kg$

Height of cliff $h=32\ m$

compression in the spring $x=57\ cm$

Here, potential energy is converted into kinetic energy which in turn converts to elastic potential energy of the spring

$\Rightarrow mgh=\dfrac{1}{2}kx^2\\\\\Rightarrow k=\dfrac{2mgh}{x^2}\\\\\Rightarrow k=\dfrac{1568}{0.3249}\\\\\Rightarrow k=4826.100\approx 4800\ N/m$