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A truck starts from rest and rolls down a hill with constant acceleration. It travels a distance of 400 m in $20\ s$. Find its acceleration. Find the force acting on it if its mass is $7\ tonnes\ (Hint:\ 1\ tonne = 1000\ kg.)$
Given:
A truck starts from rest and rolls down a hill with constant acceleration. It travels a distance of 400 m in $20\ s$.
To do:
To find its acceleration. Find the force acting on it if its mass is $7\ tonnes$.
Solution:
Here, as given initial velocity $u=0$
Distance covered $s=400\ m$
Time $t=20\ s$
Mass of the truck $7\ tonnes=7\times 1000\ kg.=7000\ kg.$
Calculation of the acceleration:
Let us use the third equation of the motion to find the acceleration of the truck:
$s=ut+\frac{1}{2}at^2$
$400=0+\frac{1}{2}\times a\times (20)^2$
Or $400=\frac{400a}{2}$
Or $a=\frac{400\times2}{400}$
Or $a=2\ ms^{-2}$
Calculation of force acting on the truck:
Let us calculate the force that is acting upon the truck by using newtons second law of motion
$F=ma$
$=7000\times 2$
$=14000\ N$
Therefore, the acceleration of the truck is $2ms^{-2}$, and a force of $14000\ N$ is acting upon the truck.