Questions
The change in potential energy, when a body of mass m is raised to a height nR from the earth's surface is (R = Radius of earth)
a
mgRnn−1
b
nmgR
c
mgRn2n2+1
d
mgRnn+1
detailed solution
Correct option is D
I method ΔU=mgh1+hR=mg nR1+nRR=nm gRn+1 II method r1=R, r2=R+h and U=-GmMR ΔU=U2-U1=GmM1r1-1r2=GmM1R-1R+h =GmM1R-1R+nR=GmMR1-11+n =mgR2R1+n-11+n∵g=GMR2⇒GM=gR2 =nmgR(n+1)Talk to our academic expert!
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A shell of mass M and radius R has a point mass m placed at a distance r from its centre. The gravitational potential energy U (r) vs r will be
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