Question

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A truck starts from rest and rolls down a hill with constant ACCELERATION. it travel a distance of 400 meter in 20 second. find force when truck mass is 7 metric tonnes.


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Answer 1

 

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

Answer 2

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

Time taken, t = 20 s 

Distance covered by the stone, s = 400 m 

According to the second equation of motion: 

s = ut + 1/ 2 at 2 

We have 

400 = 0 × 20 + 1 /2 × × (20) 2 

⇒ 400 = 200 

⇒ = 2 m/s2 

Now, Force = mass × acceleration 

⇒ F = 7000 × 2 = 14000 N