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mmoadi
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Homework Statement
A wooden block with a length of 10 cm and a mass of 1 kg lies on an icy plane. A projectile with mass of 2 g hits the wooden block with velocity of 300 m/s and breaks through its center of gravity. How much are the final velocities of the wooden block and the projectile? While moving through the wooden block, the projectile worked on it with a force of 500 N. This is a frictionless system.
Homework Equations
KE= ½ mv²
p=mv
The Attempt at a Solution
KE= F*d=50 J
KE= ½ m(1)v(final)² → v(1-final)²= 2KE/ m(1)
v(1-final)= 223.6 m/s
Conservation of the momentum:
m(1)v(1-initial) + m(2) v(2-initial) = m(1)v(1-final) + m(2) v(2-final)
v(2-final)= [m(1)v(1-initial) + m(2) v(2-initial) - m(1)v(1-final)] / m(2)
v(2-final)= 0.15 m/s
Is my approach to the problem and calculations correct?
Thank you for helping!