Center of MassHard

Question

If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest?

Options

A.1 cm
B.2 cm
C.3 cm
D.4 cm

Solution

Let the initial velocity of the body be v. Hence the final velocity = v/2
Applying v2 = u2 - 2as ⇒ = v2 - 2.a.3 ⇒ a = v2 / 8
In IInd case when the body comes to rest, final velocity = 0, initial velocity =
Again, (0)2 = - 2. . s ; or s = 1 cm

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