A particle of mass starts from rest at under a force that varies with displacement…

PHYSICS · Single correct · CBSE · Physics · Work, Energy and Power · Work, Energy and Power

Problem

A particle of mass

m

starts from rest at

x = 0

under a force that varies with displacement according to

F = b\,x

, where

b

is a positive constant. After moving to

x = d

, which expression gives its speed

v

? (a)

v = d\,\sqrt{\dfrac{2 b}{m}}

(b)

v = \dfrac{d}{2}\,\sqrt{\dfrac{b}{m}}

(c)

v = d\,\sqrt{\dfrac{b}{m}}

(d)

v = d\,\sqrt{\dfrac{b}{2 m}}