Physics I, Unit: center of mass and linear momentum A&B please In Figure (1), a

Question

Physics I, Unit: center of mass and linear momentum A&B please

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 1.16 kg) and embeds itself in block 2 (mass 1.63 kg). The blocks end up with speeds v_1 = 0.660 m/s and v_2 = 1.38 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. (a) Number Units (b) Number Units

Explanation / Answer

a)

here

the collision totally inelastice

mbullet*vbullet = (mbullet + m2) * v2

vbullet = (0.0035 + 1.63)*1.38/0.0035 = 644 m/s

so the bullet had a speed of 644 m/s just before it hit block number 2, which is the speed it had when it left block number 1

b)

mbullet * vbullet = mbullet * 644 + m1 * v1

vbullet = (0.0035 * 644 + 1.16 * 0.660)/0.0035 = 862.74 m/s

So the bullet was travelling at 862.74 m/s before it hit block 1

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