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…

Question

asked Jul 8, 2022 102k views

2 Answers

Neal Davis · Answer 1 · 2022-07-12T23:59:20+0000

Answer: 4800 N/m

Step-by-step 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

$\Rightarrow mgh=(1)/(2)kx^2\\\\\Rightarrow k=(2mgh)/(x^2)\\\\\Rightarrow k=(1568)/(0.3249)\\\\\Rightarrow k=4826.100\approx 4800\ N/m$