Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationEnergy & PotentialMedium2 minQB

PhysicsMediummultiple choice

Two point objects of masses m and 4 m are at rest at an infinite separation. They move towards each other under mutual gravitational attraction. If $G$ is the universal gravitational constant, then at a separation $r$

Options:(select one or more)

Answer:

A, B, C

Solution:

For (A) : By COME total mechanical energy of the two objects For (B) : By using reduced mass concept $\frac{1}{2} μ v_{rel}^{2} - \frac{G ( 4 m ) ( m )}{r} = 0$ where $μ = \frac{( m ) ( 4 m )}{m + 4 m} = \frac{4}{5} m \Rightarrow v_{rel} = \frac{10 G m}{r}$ For (C) total $KE = - PE = \frac{G ( m ) ( 4 m )}{r} = \frac{4 Gm ^{2}}{r}$

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Energy & Potential

⏱ 2mℹ️ Source: QB

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