In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a

Question

In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.44 kg) and embeds itself in block 2 (mass 2.05 kg). The blocks end up with speeds v1 = 0.590 m/s and v2 = 1.39 m/s (see Figure (2)). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1.

I have only one attempt left.

In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.44 kg) and embeds itself in block 2 (mass 2.05 kg). The blocks end up with speeds v1 = 0.590 m/s and v2 = 1.39 m/s (see Figure (2)). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1. I have only one attempt left.

Explanation / Answer

a)

Let the speed of bullet when leaving block 1 is v

Using conservation of momentum in collision between bullet and block 2

v*(0.0035) = (2.05 + 0.0035)*1.39

v = 815.5 m/s

b)

Now, let the speed of bullet entering block 1 is u

then

using cinservation of momentum

u*(0.0035) = 0.0035 * 815.5 + 1.44 * 0.59

u = 1058.3 m/s

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