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NewtonIsAmazing
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Homework Statement
A projectile of mass 100g, moving at a speed of 400m/s, collides with a stationary wooden target of mass 1.5kg which is free to move. The projectile enters the wooden target on impact and remains embedded in it.
Homework Equations
a) calculate the velocity of the target and embedded projectile immediately after the impact
b) calculate the average force of the impact, if the duration of the collision was 0.10 seconds
c) calculate the respective accelerations of the projectile and the target during the impact
The Attempt at a Solution
Attempt at a)
(0.1kg x 400m/s) + (1.5kg x 0m/s) = (0.1kg + 1.5kg) x V
40 kg m/s = 1.6kg x V
V = (40 kg m/s) / 1.6 kg
V = 25 m/s
Attempt at b) (I'm a little unsure of this question)
So I used this equation: f=(v-u)/t
F = ( 25 m/s - 400 m/s)/ 0.10 seconds
F = -3750N
Attempt at c) (the answer to this question is dependent on on b) being correct)
F=ma
a=F/m
acceleration of projectile =3750N / 0.1kg
acceleration of projectile = 37500m/s^2
Acceleration of target= 3750N/1.5kg
Acceleration of target= 2500m/s^2
I just know I've done something wrong. Can someone please help me?