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https:// session. masteringphysics.com next Copy of Homework assignments for General College Physics I HW Set 7 Problem 9.25 Problem 9.25 Part A A 88-kg astronaut and a 1500-kg satellite are at rest What was the initial distance from the shuttle to the astronaut? relative to the space shuttle. The astronaut pushes on Express your answer using two significant figures. the satellite, giving it a speed of 0.25 m/s directly away from the shuttle. Seven-and-a-half seconds later the astronaut comes into contact with the shuttle. Submit My Answers Give Up Signed in as fahad alkaltham I Help I close Resources previous l 8 of 10 l next Provide Feedback Continue

Explanation / Answer

In application of momentum, the most important law to know is the Conservation of Momentum. Momentum is said to be conserved when there is zero net external force acting on the object. So mathematically:
Definition of momentum: p = mv
Newton's 1st law: F = ma => m dv/dt = dp/dt
Net external force is zero: F = 0 => dv/dt = 0
dv/dt = 0 => Dp = 0
Conservation of Momentum is mathematically expressed as:
mv(initial) = mv(final)
Hence in this case:
v = d /t = d/7.5
by conservation of energy:
1500 * 0.25 = 88 * d /(7.5)
d = 31.96 m

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