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

480

Step-by-step explanation:

2021

Answer 2

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`