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Answer the following regarding Momentum Change and Force

1. Find the force necessary to gain a velocity of 60 m s-1 within 5 minutes, when acted on a mass of 200 kg which is initially at rest.

2. A force of 150 N acts on an object of mass 600 kg for 2 minutes, which was initially at rest. Find the velocity gained by the object at the end of the second minute.

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onyebuchinnaji

The force necessary to gain the velocity is 40 N.

The velocity gained by the object at the end of the second minute is 30 m/s.

Force of the object

F = mv/t

where;

  • m is mass of the object = 200 kg
  • v is velocity of the object = 60 m/s
  • t is time of motion = 5 mins = 300 seconds

F = (200 x 60)/(300)

F = 40 N

Velocity of the object

F = mv/t

Ft = mv

v = Ft/m

where;

  • m is mass = 600 kg
  • F is force = 150 N
  • t is time = 2 mins = 120 s

v = (150 x 120)/(600)

v = 30 m/s

Thus, the force necessary to gain the velocity is 40 N.

The velocity gained by the object at the end of the second minute is 30 m/s.

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