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  1. A 0.09 kg arrow hits a target at 22 m/s and penetrates 4 cm before stopping.
AWith what average force did the target exert on the arrow?










BWith what average force did the arrow exert on the target?

CIf the speed was doubled, but the forces remained the same, what’s the new penetration depth?

Verified Answer :

HomertheGenius

a ) v = v o - a t
0 = 22 - a · t
a · t = 22
d = v o · t - a t²/2
0.04 = 22 t - 22 t / 2
0.04 = 11 t
t = 0.04 : 11 = 0.003636 s
a = 22 / t
a = 6050 m/s²
F = m · a = 0.09 kg · 6050 m/s²
F ( target→arrow) = - 544.5 N
b ) F ( arrow→target ) = 544.5 N
c )  If the speed was doubled:  v = 44 m/s;
F = a m
a = 6050 m/s²
a · t = 44
t = 6050 : 0.04
t = 0.007272 s
d = 44 t - 44 t/2 = 22 t
d = 22 · 0.007272
d = 0.16 m = 16 cm

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