Momentum of falling mass problem

In summary, an object of mass 0.80 kg with a speed of 30 m s–1 collides with a hanging metal plate of mass 12.0 kg and rebounds with a speed of 16 m s–1. The question is what is the speed with which the plate moves forward, but using p=mu+mu did not give the correct answer. This could be due to a coefficient of restitution between the object and the plate. To find the total momentum of the system before the collision, calculate the momentum of the object and subtract it from the momentum of the plate. This momentum must remain constant.
  • #1
rachael
55
0
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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  • #2
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 [tex] \frac{Speed.of.sparation}{Speed.of.approach} = e [/tex]
 
  • #3
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:
[tex]P_{plate} - P_{object} = P_{initial}[/tex]
 
  • #4
thank you ...
 

What is the formula for calculating momentum?

The formula for calculating momentum is momentum = mass x velocity. It is represented by the symbol p and its unit is kg*m/s.

Does the mass of an object affect its momentum?

Yes, the mass of an object does affect its momentum. The greater the mass, the greater the momentum.

How does the velocity of an object affect its momentum?

The velocity of an object is directly proportional to its momentum. This means that as the velocity increases, the momentum also increases.

Can momentum be negative?

Yes, momentum can be negative. This indicates that the object is moving in the opposite direction compared to the chosen reference point.

How is the principle of conservation of momentum applied in a falling mass problem?

The principle of conservation of momentum states that the total momentum of a closed system remains constant. In a falling mass problem, this means that the total momentum of the object before and after the fall must be equal. This can be used to calculate the velocity or mass of the falling object.

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