A 0.005 kg arrow hits a target and sticks to it. The arrow and the target, with a combined mass of 0.20 kg go off together at 4 m/s. How fast was the arrow moving at the moment of impact?

Question

Physics

Rudy Booker

28 December, 05:24

A 0.005 kg arrow hits a target and sticks to it. The arrow and the target, with a combined mass of 0.20 kg go off together at 4 m/s. How fast was the arrow moving at the moment of impact?

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Answers (1)

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Kate Barry · Answer 1

veleocity of arrow at moment of impact=164m/s

Explanation:

Using the formula;

m1u1 + m2u2 = (m1+m2) v

m1=0.005kg, m2=0.2kg, u1=? u2=0 (target is at rest), v=4m/s

0.005*u1 + 0.2*0 = (0.005+0.2) 4

0.005u1 = 0.82

u1 = 0.82/0.005

u1=164m/s