Finding Momentum when giving the mass and height

In summary, the conversation discusses a male dancer who weighs 50.0 kg and jumps 0.32 m high. The question is about the momentum he reaches the ground with. The conversation goes on to mention the equation for momentum (P = mv) and the attempts made to find the answer using the available information. It is then suggested to use the equation for potential energy (PE) to kinetic energy (KE) conversion to solve for velocity, and then calculate momentum using the given mass and velocity.
  • #1
Andrea Fdez
1
0
Moved from a technical forum thus no homework template.
A 50.0-kg male dancer leaps 0.32 m high.
(a) With what momentum does he reach the ground?

I know that to find momentum the equation is P = mv, but I only have the mass and distance. I have tried finding the time (D = 1/2at^2) and later used that time to find the velocity (v = d/t). I later used the velocity to complete my momentum equation, but my answer was incorrect. Can someone please help me understand this problem.
 
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  • #2
v=d/t gives the velocity when the acceleration is zero. Here the acceleration is g.
 
  • #3
Changing from (gravitational) PE to KE: $$mgh=½mv^2$$ from which ##v=\sqrt{2gh}##
 

Related to Finding Momentum when giving the mass and height

1. What is the formula for finding momentum when given the mass and height?

The formula for finding momentum when given the mass and height is: momentum = mass x height.

2. Why is momentum important in scientific calculations?

Momentum is important in scientific calculations because it quantifies the motion of an object and helps us understand the interactions between objects in a system.

3. Can momentum be negative?

Yes, momentum can be negative. Negative momentum indicates that the object is moving in the opposite direction of the chosen reference frame.

4. How do you determine the direction of momentum when given mass and height?

The direction of momentum can be determined by considering the direction of the object's motion. If the object is moving upwards, the momentum will be positive. If the object is moving downwards, the momentum will be negative.

5. Is there a relationship between mass, height, and momentum?

Yes, there is a relationship between mass, height, and momentum. As the mass or height increases, the momentum will also increase proportionally.

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