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 (i) the velocity acquired by the body, (ii) the acceleration produced by the force, and (iii) the magnitude of the force.

(i) velocity (v) = distance/time

= 100/5 = 20 m s^-1

(ii) Given,

distance (s) = 100 m

Initial velocity (u) = 0

Final velocity (v) = 20 m s^-1

we know,

v² – u² = 2as

⇒ 20²−0² = 2×a×100

⇒ 400=200×a

⇒ a=2 m s⁻²

Hence, a = 2 m s^-2

(iii) Given,

mass (m) = 100 kg

acceleration (a) = 2 m s ^-2

we know,

Force (F) = mass (m) x acceleration (a)

= 100 × 2 = 200 N