Question

A force of 4 N act on a body of mass 2 kg for 4 second .if the initial velocity is zero find its velocity when the force stops acting.

Answer 1

STEP-BY-STEP EXPLANATION:

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$\longmapsto\sf Force \: (F) = 4N \: \: or \: \: 4kgm {s}^{ - 2}$

$\longmapsto\sf Mass \: ( M)= 2 kg$

$\longmapsto\sf Initial \: Velocity \: (u) = 0$

$\longmapsto\sf Final \: Velocity \: (v) = \: ?$

$\longmapsto\sf Time \: Taken \: (t) = 4s$

$As \: we \: know \: that,$

$\longmapsto\bf F = M.A$

$\longmapsto\sf 4kgm {s}^{ - 2} =2kg.A$

$\longmapsto\sf A = \frac{ \cancel{4kg} m{s}^{ - 2} }{ \cancel{2kg}}$

$\longmapsto\sf A = 2 m{s}^{ - 2}$

$As \: we \: know \: that,$

$\longmapsto\bf A = \frac{v - u}{t}$

$\longmapsto\sf \frac{v -0}{4s} = 2m {s}^{ - 2}$

$\longmapsto\sf{v } = 2m {s}^{ - 2} \times 4s$

$\longmapsto\bf{v } = 8m {s}^{ - 2}$

REQUIRED ANSWER,

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• The Final Velocity is 8m per second.