A force acts for 10 s on a stationary body of mass 100 kg after which the force ceases to act.

The body moves through a distance of 100 m in the next 5 s. Calculate:

The velocity acquired by the body.

[Ars: 20 m

(b) Acceleration produced by the force.

[Ans: 25

(e) The magnitude of the force.

(An: 200N

a) Velocity = 20m/s

b) Acceleration = 2m/s²

c) Force = 200N

Explanation:

a) Velocity acquired by the body

Formula for Velocity is given as = Distance / Time

In the question, Distance = 100m

Time = 5s

Velocity = 100m / 5s

= 20m/s

Therefore, Velocity acquired by the body = 20m/s

b) Acceleration produced by the force is calculated as:

Formula for Acceleration = Velocity / Time

Velocity is calculated as Velocity acquired by the body = 20m/s

Time = 10s

a = 20m/s / 10s

a = 2m/s²

Therefore, Acceleration produced by the force = 2m/s²

c) Force = Mass * Acceleration

From the above question,

Mass = 100kg

Acceleration = 2 m/s²

Force = 100kg * 2m/s²

= 200kgm/s² or 200 N (Newton)

Therefore, Force produced by the body = 200N