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A clay ball of mass m and speed v strikes another metal ball. of same mass m, which is at rest. They stick together after collision. The kinetic energy of the system after collision is

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KVPY Other Question

Let S = {1, 2, 3, .., 40} and let A be a subset of S such that no two elements in A have their sum divisible by 5. What is the maximum number of elements possible in A ?
option
(A) 10
(B) 13
(C) 17
(D) 20 A ball falls vertically downward and bounces off a horizontal floor. The speed of the ball just before reaching the floor (u1) is equal to the speed just after having contact with the floor (u2); u1 = u2 . The corresponding magnitudes of accelerations are denoted respectively by a1 and a2 . The air resistance during motion is proportional to speed and is not negligible. If g is acceleration due to gravity, then
option
(A) a1 < a2
(B) a1 > a2
(C) a1 = a2 g
(D) a1 = a2 = g