. 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 its acceleration. Find the force acting on it if its mass is 7 metric tonnes (Hint. 1 metric tonne = 1000 kg).

 

Best Answer

Sol. Firstly, we will calculate the acceleration:

Given,

Initial velocity, u = 0

Distance travelled, s = 400 m

Time, t = 20 s

Acceleration, a =?

We know that,

s = ut + 1/2at2

400 = 0 × 20 + 1/2 × a × (20)2

400 = 0 + 1/2 × a × 400

400 = a × 200

a = 400/200

a = 2 m/s2

Therefore, the acceleration of the truck is 2 m/s2

Now, we will calculate the force:

Force, F = m × a

F = 7 × 1000 × 2

 = 14000 N

Therefore, the force acting on the truck is of 14000 N

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