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2. Find the average force that the shuttle exerts on the satellite during the ej

ID: 1287071 • Letter: 2

Question

2. Find the average force that the shuttle exerts on the satellite during the ejection.

The space shuttle launches an 900-kg ^kg satellite by ejecting it from the cargo bay. The ejection mechanism is activated and is in contact with the satellite for 4.8 s s to give it a velocity of 0.30 m/s m/s in the x ^x direction relative to the shuttle. The mass of the shuttle is 92100kg kg . 1. Determine the component of velocity vf ^vf } of the shuttle in the minus x x direction resulting from the ejection. 2. Find the average force that the shuttle exerts on the satellite during the ejection.

Explanation / Answer

a) use the principle of conservation of momentum, that is the momentum of the system does not change:

m1*v1 = m2*v2

so

92100*v = 900*0.3

vf = 2.931*10^-3 m/s

(b) F= m*a

average acceleration = 0.3/4.8 = 0.0625 m/s^2

average force = 900 * 0.0625 = 56.25N

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