Gravitational potential energy

Asked by tangocharliee | 11th Dec, 2009, 10:01: AM

Expert Answer:

Dear Student

Gravitation at a distance r    g=  GMe / r2  ----------------------(1)

Where G is Universal gravitational constant,Me earth mass.

PE of a mass m at a distance r from the earth = mgr =m (GMe / r2) r =mGMe / r

Given that  mGMe / r =100GMe / 107 =4.8 x 109 joule  ==>  GMe=4.8X104  m3/s2  ------(2)

Gravitation at a distance 10 9m   g=  GMe / 1018         [    from eqn(1) ]   ----------------(3)

Weight of the rocket at  10 9m  = mg= 100GMe / 1018      =100X  4.8 x 104   /1018  =4.8X10-12  N.

weight of the rocket in newton at a distance        10 9m =4.8X10-12  N.

Regards

Topperlearning

 

Get GMe from equation (3)  ==>  mg=  100  X

 

 

Answered by  | 13th Jan, 2010, 11:15: AM

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