What is centripetal force ? Complete the following expression for a planet revolving around sun in circular motion irrespective of its time of revolution?
Answers
Answer:
Correct option isA4π2r3/GTAccording to LAW STATED BY KEPLERT2∝R3It is known as Law of periods.Let us consider a planet P of mass mmoving with a velocity v around the sun of mas M in a circular orbit of radius r.The gravitational force of attraction of the sun on the planet is,F=GMm/r2The centripetal force is, F=mv2/r,euqating the two forces,mv2/r=GMm/r2.v2=GM/r−−−−−−−−−−(i)If T be the period of revolution of the
planet around the sun, then
planet around the sun, thenv=2π/T−−−−−−−(ii)
planet around the sun, thenv=2π/T−−−−−−−(ii)Substituting (ii) in (i)
planet around the sun, thenv=2π/T−−−−−−−(ii)Substituting (ii) in (i)4π2r2/T2=GM/r
planet around the sun, thenv=2π/T−−−−−−−(ii)Substituting (ii) in (i)4π2r2/T2=GM/rr3/T2=GM/4π2
planet around the sun, thenv=2π/T−−−−−−−(ii)Substituting (ii) in (i)4π2r2/T2=GM/rr3/T2=GM/4π2M=4π2r3/GT
hope its help you
Answer:
the force that is necessary to keep an object moving in a curved path and that is directed inward toward the center of rotation a string on the end of which a stone is whirled about exerts centripetal force on the stone — compare centrifugal force.
a planet revolving around sun in circular motion irrespective of its time of revolution is called Law of periods.
Explanation: