Average Momentum: 1552.795 kg m/s

In summary, to solve for average momentum, you need to use the formula p = mv and consider the change in velocity, which can be calculated by dividing the change in position by the change in time. Once you have the change in velocity, you can multiply it by the mass to determine the average momentum.
  • #1
mailmas
46
0

Homework Statement


m = 50kg
Distance covered = 100m
T = 3.22
Solve for average momentum.

Homework Equations


X = 1/2 at^2
p = mass*acc*change time

The Attempt at a Solution


100 = 1/2 a (3.22)^2
a = 200/10.3684 = 19.28937m/s^2
f = 50 * 19.28937 = 964.4689
change momentum = 964.4689 * 3.22 = 3105.59 kg m/s

The answer is half of this, why exactly is it half?
 
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  • #2
You should state the problem word for word as given. I suspect that you did not give all the information specified in the problem.

Note that they ask for average momentum, not change in momentum.
 
  • #3
TSny said:
You should state the problem word for word as given. I suspect that you did not give all the information specified in the problem.

Note that they ask for average momentum, not change in momentum.
Sorry, all the information is there though. The only problem I have is understanding how to solve for the average momentum. Would it be change in momentum/ #momentum's considered. Maybe to clarify I'm considering the object is moving in a straight line and that the acceleration is constant.
 
  • #4
mailmas said:
Sorry, all the information is there though.
Note that an object could cover a distance of 100 m in 3.22 s without any acceleration.

EDIT: Maybe you have included all the necessary information to answer the question. But there is not enough information to determine the acceleration.

Since momentum is defined as p = mv, how would average momentum be related to average velocity?
 
  • #5
TSny said:
Note that an object could cover a distance of 100 m in 3.22 s without any acceleration.

EDIT: Maybe you have included all the necessary information to answer the question. But there is not enough information to determine the acceleration.

Since momentum is defined as p = mv, how would average momentum be related to average velocity?

Average momentum = 50* (vf- vi)/change time
=15.52*vf
 
  • #6
TSny said:
Note that an object could cover a distance of 100 m in 3.22 s without any acceleration.

EDIT: Maybe you have included all the necessary information to answer the question. But there is not enough information to determine the acceleration.

Since momentum is defined as p = mv, how would average momentum be related to average velocity?
Never mind I got it thanks! Forgot change in velocity = change position/ change time and then I just multiplied by mass.
 

Related to Average Momentum: 1552.795 kg m/s

1. What is average momentum?

Average momentum is a measure of the average amount of motion an object has, taking into account both its mass and velocity. It is calculated by multiplying an object's mass by its velocity.

2. How is average momentum different from regular momentum?

Regular momentum is a measure of an object's total motion at a specific point in time, while average momentum takes into account an object's motion over a period of time. Average momentum is often used when studying systems that have changing velocities or when analyzing collisions.

3. How is average momentum calculated?

The formula for calculating average momentum is: average momentum = mass x velocity. In this case, the average momentum is 1552.795 kg m/s, which means the object has a mass of 1552.795 kg and a velocity of 1 m/s.

4. Why is average momentum an important concept in physics?

Average momentum is an important concept in physics because it helps us understand how objects move and interact with each other. It is also a fundamental concept in the laws of motion, such as Newton's second law which states that the change in an object's momentum is equal to the net force acting on it.

5. Can average momentum be negative?

Yes, average momentum can be negative. This means that an object is moving in the opposite direction of its positive momentum. For example, if an object has an average momentum of -1552.795 kg m/s, it means it has a mass of 1552.795 kg and is moving at a velocity of -1 m/s.

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