Questions in Work, Energy and Power

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Two bodies with kinetic energies in the ratio of 4 : 1 are moving with equal linear momentum. The ratio of their masses is
If the kinetic energy of a body becomes four times of its initial value, then new momentum will
A bullet is fired from a rifle. If the rifle recoils freely, then the kinetic energy of the rifle is
If the water falls from a dam into a turbine wheel 19.6 m below, then the velocity of water at the turbine is $(g = 9.8\,m/{s^2})$
Two bodies of masses 2m and m have their K.E. in the ratio 8 : 1, then their ratio of momenta is
A bomb of 12 kg divides in two parts whose ratio of masses is 1 : 3. If kinetic energy of smaller part is 216 J, then momentum of bigger part in kg-m/sec will be
A 4 kg mass and a 1 kg mass are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is
Two identical cylindrical vessels with their bases at same level each contains a liquid of density ?. The height of the liquid in one vessel is ${h_1}$ and that in the other vessel is ${h_2}$. The area of either base is A. The work done by gravity in equalizing the levels when the two vessels are connected, is
If the increase in the kinetic energy of a body is 22%, then the increase in the momentum will be
If a body of mass 200 g falls from a height 200 m and its total P.E. is converted into K.E. at the point of contact of the body with earth surface, then what is the decrease in P.E. of the body at the contact $(g = 10\,m/{s^2})$

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