A block of mass is attached to a horizontal spring of force constant placed on a…

PHYSICS · Multi-part · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A block of mass

2\,\text{kg}

is attached to a horizontal spring of force constant

200\,\text{N\,m}^{-1}

placed on a horizontal table. The coefficient of kinetic friction between the block and the table is

0.10

. The block is slowly pulled so that the spring is extended by

x

and is then released from rest. (i) Derive an expression for the speed

v

of the block as it passes through the equilibrium position of the spring in terms of

m

k

\mu

g

and the initial extension

x

. (ii) Using your expression, calculate

v

when

x = 0.15\,\text{m}