Momentum of falling mass problem

AI Thread Summary
The problem involves a 0.80 kg object traveling at 30 m/s colliding with a 12.0 kg metal plate and rebounding at 16 m/s. To find the speed of the plate after the collision, the conservation of momentum principle should be applied. The correct equation is derived from the initial momentum of the object and the final momentum of both the object and the plate. It’s important to account for the direction of velocities and any potential coefficients of restitution that may affect the outcome. Properly calculating the total momentum before and after the collision will yield the correct speed of the plate.
rachael
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6 An object of mass 0.80 kg traveling horizontally with a
speed of 30 m s–1 hits a hanging metal plate of mass
12.0 kg and rebounds with a speed of 16 m s–1. What is
the speed with which the plate moves forward?

i used p=mu+mu but the answer was not correct why is that?
 
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rachael said:
6 An object of mass 0.80 kg traveling horizontally with a
speed of 30 m s–1 hits a hanging metal plate of mass
12.0 kg and rebounds with a speed of 16 m s–1. What is
the speed with which the plate moves forward?

i used p=mu+mu but the answer was not correct why is that?

Did you try (0.8*30) - (0.8*(-16)) = 12v ? If you did, and that didn't work, maybe there is a coefficient of resistuation (sorry about the spelling) between the object and the plate, so \frac{Speed.of.sparation}{Speed.of.approach} = e
 
Find the total momementum of the system before the collision. This momentum must remain constant. You can calculate the momentum of the object, but remember this is traveling in the oppoisite direction to the plate so:
P_{plate} - P_{object} = P_{initial}
 
thank you ...
 
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