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A truck begins at rest and proceeds down a hill with constant acceleration. It travels $400 meters$ in $20 seconds$ . If its mass is $7 metric tonnes$ , calculate the force acting on it.[190][191]

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21000 N

7000 N

12000 N

14000 N

answer is D.

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Detailed Solution

[192][193]
A truck begins at rest and proceeds down a hill with constant acceleration. It travels 400 meters in in

20 seconds

[194][195]. If its mass is

7 metric tonnes

[196][197] , the force acting on it is

14000 N

.
Given,

distance (s) = 400 m

time (t) = 20 s

mass (m) = 7 metric tonne

\Rightarrow 7000 kg

We know

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

400 = (0) 20 + \frac{1}{2} a {(20)}^{2}

a = \frac{800}{400}

\Rightarrow 2 m / s^{2}

Now force acting on truck
We know[198][199],

F = ma

\Rightarrow 7000 \times 2

\Rightarrow 14000 N

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