A constant horizontal force acts on a block of mass that is already moving with speed

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

Problem

A constant horizontal force

F

acts on a block of mass

m

that is already moving with speed

v_{0}

. After the block has travelled a further distance

s

in the direction of the force, which of the following gives its speed

v

? (a)

v = v_{0} + \sqrt{\dfrac{2 F s}{m}}

(b)

v = \sqrt{\,v_{0}^{2} + \dfrac{F s}{m}}

(c)

v = \sqrt{\,v_{0}^{2} + \dfrac{2 F s}{m}}

(d)

v = \sqrt{\,v_{0}^{2} + \dfrac{F s}{2 m}}