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\"1 Verizon 13:45 * 53%) moodle2017.coastal.eduC Problem Solving Worksheet #2 Pr

ID: 1657897 • Letter: #

Question

"1 Verizon 13:45 * 53%) moodle2017.coastal.eduC Problem Solving Worksheet #2 Problem A rifle fires two 4 g bullets at 2 kg target. The target is initially at rest and free to slide on a frozen pond while the gun is fixed to the ground. Each bullet leaves the rifle at 225 m/s and is imbedded in the target. Each collision conserves momentum. Find the final velocity of the target after each bullet strike, Ignore any friction between the target and the pond and any air resistance Notes Each bullet strike is like a collision between carts that stick together. The rifle itself is irrelevant to the problem. Just consider the bullets and the target.

Explanation / Answer

for first bullet hit, applying momentum conservation

momentum before hit = momentum after hit

0.004 x 225 + 0 = (2 + 0.004) v

v = 0.449 m/s

after second bullets hits,

(0.004 x 225) + (0.449 x 2.004) = (2.008)vf

vf = 0.896 m/s ......Ans

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