Physics - Gravitation Question with Solution | TestHub
PhysicsGravitationEnergy & PotentialMedium2 minQB
PhysicsMediuminteger
A large rocky planet was formed from eight small rocky planets, each with radius R. Each of the small planets and the new large planet have the same density. The small rocky planets were initially so far apart that they didn't interact. The energy required to blast a planet of mass and radius apart is , where G is a constant. How many times as much energy would be required to blast the large planet apart as to blast all of the eight small planets apart?
Answer:
4
Solution:
The mass of the large planet is 8 times a small one. As the density is constant , so R increases by . The total energy required to blast apart the large planet is then . The sum of the energies for the 8 small planets is , which is 4 times less than the large planet.\
Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Energy & Potential
⏱ 2mℹ️ Source: QB
Doubts & Discussion
Loading discussions...