An earth satellite of mass m circles the earth with speed u. By how much does its momentum change as it goes halfway around the earth ? Ignore the earths rotation.
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The momentum of satellite changes by 2p.
Explanation:
- The speed of satellite remains constant at each point of its circular path.
- However the velocity of satellite changes whenever direction change.
Let initially angular momentum of satellite p = r x Mv
- Now the change in momentum can be calculated as:
Change in momentum of satellite = 2 ( r x Mv) = 2p
Hence the momentum of earth changes by 2p.
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