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 tonnes (Hint: 1 tonne = 1000 kg.)

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Detailed Solution

Initial velocity of the truck, u=0 m/s

Distance covered by the truck, S=400 m

Time taken to cover that distance, t=20 s

Let the acceleration of the truck be 'a'

S= u t + (1/2) a t²

400=(0)20+ (1/2) a (20)²

The acceleration of the truck a=2 m/s²

Mass of the truck m =7 tonnes = 7000 kg (∵1 tonne=1000 kg)

F = m a =7000×2 =14000 N

The force acting on truck is 14000 N.

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