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Question

A truck starts from rest and rolls down a hill with a constant acceleration. It travels a distance of $$400\ m$$ in $$20\ s$$. Find the force acting on it if its mass is $$7\ \text{metric tonnes}$$.


A
14000 N
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B
7000 N
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C
3500 N
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D
21000 N
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Solution

The correct option is A $$14000\ N$$
1 metric tonne $$=1000 kg$$
Initial velocity of truck, $$u=0; time, t=0s;$$
distance covered, $$s=400 m; acceleration, a=?$$;
mass of truck, $$m=7$$ metric tonnes $$=7000 kg$$; force on truck, $$F=?$$
We know, $$s=ut+\frac {1}{2}at^2$$
$$\Rightarrow 400=0\times 20+\frac {1}{2}\times a\times (20)^2$$
$$\Rightarrow 400-200a$$ or $$a=\frac {400}{200}=2 ms^{-2}$$
Force on truck, $$F=ma=7000\times 2=14000 N$$

Physics

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