Work Energy And Power Question 57

Question: A sphere of mass m, moving with velocity V, enters a hanging bag of sand and stops. If the mass of the bag is M and it is raised by height h, then the velocity of the sphere was [MP PET 1997]

Options:

A) M+mm2gh

B) Mm2gh

C) mM+m2gh

D) mM2gh

Show Answer

Answer:

Correct Answer: A

Solution:

By the conservation of linear momentum Initial momentum of sphere = Final momentum of system

mV=(m+M)vsys. -(i)

If the system rises up to height h then by the conservation of energy

12(m+M)vsys.2=(m+M)gh -(ii)

therefore vsys.=2gh

Substituting this value in equation (i) V=(m+Mm) 2gh



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