Question

A truck start from rest and roll down a hill with constant acceleration. It travel a distance of 400m in 20s .find its acceleration. find the force acting on it if its Mass is 7metric tonnes.

Answer 1

It is given that the truck start from rest and roll down a hill with constant acceleration, it means that the initial velocity of the truck is 0, as it was at the position of rest.


Therefore,
u = initial velocity = 0 m / s


We know,
Acceleration = ( v - u ) / ∆t , where v is the final velocity, u is the initial velocity and ∆t is the time taken.


Hence,
Acceleration = ( 400 - 0 ) / 20 m / s²

Acceleration = 400 / 20 m / s²

Acceleration = 20 m / s²



We know,
Force = Mass x acceleration

Force = 7000 kg x 20 m / s²

Force = 14000 N


Hence,
Acceleration is 20 m / s² and force applied by the truck is 14000 N
$\:$

Answer 2

Answer:

The truck starts from rest, so initial velocity = 0

Distance travelled = 400 m

Time taken = 20 s

We know the equation of motion, S = ut + ½ at2

400 = 0 + ½ a * (20)2 a = 2 m/s2

Now, mass = 7 metric tonnes = 7 * 1000 = 7000 kg

So force = mass * acceleration F = 7000 * 2 = 14000 N

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