A truck starts from rest and rolls down a hill with constant acceleration. It travels a distance of 400 m in 20s. Find its acceleration. Find the force acting on it if its mass is 7 metric tons (Hint: 1 metric ton = 1000 kg).

By Ritesh|Updated : November 11th, 2022

The force acting on it if its mass is 7 metric tons is 14000 N. Steps to find acceleration and force acting:

Step 1: Given that

Time is taken, t = 20s

Distance travelled, s = 400 m

Mass of the truck, m = 7 metric tons = 7000 kg

Initial velocity, u = 0m/s

Step 2: Using the equation of motion we have to calculate the acceleration:

We have:

s = ut + ½ at2

Substituting the values in the above equation we get:

400 m = 0 x 20s + ½a x (20)2

a = (400 x 2)/ (20 x 20)

In simplification we get the:

a = 2 m/s2

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

Now, we know that:

F = ma

Substituting the values we get:

F = 7000 x 2

F = 14000 N

Therefore, the force acting on the truck is 14000 N

Effects of Force

The definition of force in physics is: The push or pull on a massed object changes its velocity. Motion is described in physics as a change in position with respect to time. Motion, to put it simply, is the movement of a body. Motion is typically characterised as:

  • Change in speed
  • Change in direction

Here are some of the consequences that the Force can have.

  • A body at rest can be forced to move.
  • It can either slow down or stop a moving body.
  • It can quicken the pace of a moving object.
  • Along with altering its size and shape, it can alter the direction of a moving body as well.

Summary:

A truck starts from rest and rolls down a hill with constant acceleration. It travels a distance of 400 m in 20s. Find its acceleration. Find the force acting on it if its mass is 7 metric tons (Hint: 1 metric ton = 1000 kg).

A truck starts from rest and rolls down a hill with constant acceleration. It travels a distance of 400 m in the 20s. Its acceleration is 2 m/s2. The force acting on it if its mass is 7 metric tons is 14000 N.

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