You are painting the inside of an escape pod of a rocket. Unfortunately, while i

Question

You are painting the inside of an escape pod of a rocket. Unfortunately, while inside the escape pod disconnects and the rocket leaves without you. The 12 meters long. Frustrated, you stand at the front of the rocket, hold onto a and throw 4 kg of paint at the back wall with a speed of 6 m/s. The empty mass of 200 kg. You have a mass of 80 kg. a) With what speed do you and the escape pod move forward while the b) After the paint splatters on the rear wall, what is the final speed of you, the paint combination? c) How far did you and the pod move forward while the paint was in the

Explanation / Answer

5)

a)

Vi = initial velocity of combination of escape pod and paint = 0 m/s

m = mass of paint = 4 kg

v = velocity of paint = 6 m/s

M = mass of pod = 200 kg

m' = mass of person = 80 kg

V = velocity of pod + person after throwing paint = ?

using conservation of momentum

(m + M + m') Vi = m v + (M + m') V

(4 + 200 + 80) (0) = 4 x 6 + (200 + 80) V

V = - 0.086 m/s

negative sign indicates opposite direction to paint

b)

using conservation of momentum again

4 x 6 + (200 + 80) (- 0.086) = (4 + 200 + 80) Vf

Vf = 0 m/s

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