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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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Eduard22sly

1. The force necessary to gain a velocity of 60 m/s within 5 mins is 40 N

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

1. How to determine the force

  • Initial velocity (u) = 0 m/s
  • Final velocity (v) = 60 m/s
  • Mass (m) = 200 Kg
  • Time (t) = 5 ms = 5 mins = 5 × 60 = 300 s
  • Force (F) =?

F = m(v –u) / t

F = 200(60 – 0) / 300

F = 40 N

2. How to determine the velocity

  • Force (F) = 150 N
  • Mass (m) = 600 Kg
  • Initial velocity (u) = 0 m/s
  • Time (t) = 5 ms = 2 mins = 2 × 60 = 120 s
  • Final velocity (v) = ?

F = m(v –u) / t

Cross multiply

m(v –u) = Ft

Divide both sides by m

v - u = Ft / m

v - 0 = (150 × 120) / 600

v = 30 m/s

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