Question

A $5N$ force acts on a $2.5kg$ mass at rest, making it accelerate in a straight line.
i) What is the acceleration of the mass?
ii) How long will it take to move the mass through $20m$?
iii) Find its velocity after $3seconds$

Answer 1

Given,

$F=5Nm=2.5kg$

i) Force = mass $\times$ acceleration

acceleration = $\frac{Force}{Mass}$

= $\frac{5}{2.5}$

= $2m/S^2$

ii) initial velocity, $u=0\frac{m}{s}$

acceleration, $a=2m/S^2$

distance, $s=20m$

Using, $S=ut+\frac{1}{2}a{t}^2$

$20=0+\frac{1}{2}2t^2$

$t=\sqrt{20}$

iii) Using, $v=u+at$

$v=0+2\times \left(3\right)$

$v=6m/s$