Solving Momentum of a Ball Homework: Man's Speed & Average Force

In summary, the conversation discusses a man throwing a ball on a smooth ice surface and the resulting effects. The man has a mass of 80 kg and throws a 200g ball horizontally at a speed of 25 m/s relative to the Earth. The question asks for the man's speed and direction after the throw, and the average force acting on him if he throws six balls every 5.0 seconds. The solution involves using the conservation of momentum equation and calculating the force using the rate of change of momentum.
  • #1
phizics09
38
1

Homework Statement


An 80 kg man standing at rest on a smooth, level ice surface throws a 200g ball horizontally with a speed of 25 m/s, relative to the Earth. a) With what speed and in what direction does the man move? b) If the man throws six such balls every 5.0s, what is the average force acting on him?


Homework Equations


Ft=mv


The Attempt at a Solution


I got part a using the conservation of momentum equation, but I don't get how to do b.
Can anyone help?
 
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  • #2
Use F = ma = M*Δv/Δt
Every throw gives him a bit of Δv. Multiply it by 6 for 6 throws.
 
  • #3
Okay, I got it. Thanks!
 
  • #4
Most welcome!
 
  • #5
Force = rate of change of momentum
Force = change in momentum per second
Force = change in momentum of each interaction x number of interactions per second
This is another way to say what Delphi51 said.
 
  • #6
Okay thanks!
 

FAQ: Solving Momentum of a Ball Homework: Man's Speed & Average Force

What is momentum?

Momentum is a measure of an object's motion, determined by multiplying its mass by its velocity. It is a vector quantity, meaning it has both magnitude and direction.

How do you calculate momentum?

The formula for momentum is p = mv, where p is momentum, m is mass, and v is velocity. Make sure to use the correct units for each variable (kilograms for mass and meters per second for velocity).

How does the speed of a ball affect its momentum?

The speed of a ball directly affects its momentum. As an object's speed increases, so does its momentum. This is because momentum takes into account both mass and velocity, so an object with a greater speed will have a greater momentum.

What is the average force in relation to momentum?

The average force is the net force acting on an object over a certain period of time. In relation to momentum, the average force can be calculated by dividing the change in momentum by the change in time. This can also be written as F = Δp/Δt.

How can I apply the concept of momentum to real-life situations?

Momentum is a fundamental concept in physics and can be applied to a wide range of real-life situations. For example, understanding momentum can help engineers design more efficient vehicles, help athletes improve their performance, and even explain the effects of car crashes and collisions.

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