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Gradebook ORION Downloadable eTextbook ment ULL SCREEN PRINTER VERSIONBACK Chapt

ID: 1660225 • Letter: G

Question

Gradebook ORION Downloadable eTextbook ment ULL SCREEN PRINTER VERSIONBACK Chapter 09, Problem 051 In Flgure (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 1.33 ko) and embeds itself in block 2 (mass 2.05 ko). The blocks end up with speeds vs - 0.580 m/s and v2-1.48 m's (see Figure (2)). Neglecting the material removed from block 1 by the bullet, find the speed of the builet as it (a) leaves and (b) enters block 1 Feictionlem (a) Number (b) Number Click if you would like to Show Work for this question: Units Units Open Show Work

Explanation / Answer

The collision with block 2 is totally inelastice (so Kinetic Energy is not conserved).

mbullet*vbullet = (mbullet+m2)*v2

vbullet = [(mbullet + m2)*v2] / mbullet

vbullet = [(0.0035 + 2.05)*1.48] / 0.0035

vbullet = 868.34 m/s ............Ans(1)

the bullet had a speed of 868.34 m/s just before it hit block number 2, which is the speed it had when it left block

number 1.

mbullet*vbullet = mbullet*868.34 + m1*v1

vbullet = (0.0035*868.34 + 1.33*0.580) / 0.0035

vbullet = 1088.74 m/s ......Ans(2)

So the bullet was travelling at 1088.74 m/s before it hit block 1.