a body of mass M is moving in a horizontal circle of radius R if the centripetal force is F the kinetic energy of a body is what
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Explanation:
K
Centripetal force =
r
mv
2
=
r
2
k
...(given)
Kinetic Energy =
2
1
mv
2
=
2
1
r
k
Potential Energy =−∫
∞
r
Fdr
the lower limit has been taken as∞ because potential energy is zero at infinty
=−∫
∞
r
r
2
k
dr
=−k∫
∞
r
r
−2
dr
=−k
∣
∣
∣
∣
−1
r
−1
∣
∣
∣
∣
∞
r
=
r
−k
Total energy =
2r
k
−
r
k
=−
2r
k
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