Question 1: a) What is the force law for a central-force field that allows a particle of mass u to move in a an orbit given by r(0)=- where a, b and c are constants? ( F(r) = ?) b+ccos0' b) If c = 0 find 0(1)

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Question 1:
a) What is the force law for a central-force field that allows a particle of mass µ to move in
an orbit given by r0)=;
, where a, b and c are constants? ( F( r ) = ?)
b+c cos0'
b) If c = 0 find 0(1)
Transcribed Image Text:Question 1: a) What is the force law for a central-force field that allows a particle of mass µ to move in an orbit given by r0)=; , where a, b and c are constants? ( F( r ) = ?) b+c cos0' b) If c = 0 find 0(1)
Question 2:
A particle of mass u moves in an elliptical orbit in
an inverse square law central force field. Show
that the speed (magnitude of v ) of the particle
a) at point A is v,
( 1+ɛ)
, and
μα
b) at point B is v -
μα
Transcribed Image Text:Question 2: A particle of mass u moves in an elliptical orbit in an inverse square law central force field. Show that the speed (magnitude of v ) of the particle a) at point A is v, ( 1+ɛ) , and μα b) at point B is v - μα
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