How to find the change in momentum

In summary, a shunting locomotive strikes a wagon of mass 8t and sets it in motion with an initial speed of 3.6m/s. The wagon travels freely along a level track against a track resistance of 58N/t for 12s. The frictional resistance is determined using the equation F=Δmomentum/time. The change in momentum can also be calculated using the equation F.Δt=m.Δv.
  • #1
smalls
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Homework Statement



a shunting locomotive strikes a wagon of mass 8t and sets it in motion with an initial speed of 3.6m/s.The wagon travels freely along a level track against a track resistance of 58N/t for 12s.determine;

a.the frictional resistance(average force)
b.the reduced velocity of the wagon after the 12s due to the track resistannce

Please i need some one to help me figure out what to do first to start with this question..I'm not asking for answers,just want step by step procedure so i can get to understand this topic once and for all.:)

Homework Equations


F=Δmomentum(??)/time

struggling with how to find the change in momentum.:(


The Attempt at a Solution

 
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  • #2
smalls said:

Homework Equations


F=Δmomentum(??)/time

struggling with how to find the change in momentum.:(

Hi small s. You don't have to use momentum here, but you can if you wish.

F. Δt = m. Δv ... is a good equation here.

You know the frictional force acting on the moving wagon, and you are asked to determine its velocity after Δt of 12 seconds. So, go ahead. :smile:

First, address question (a).
 

1. How do you calculate the change in momentum?

The change in momentum can be calculated by taking the difference between an object's initial momentum and its final momentum. This can be represented by the equation ∆p = pf - pi, where ∆p is the change in momentum, pf is the final momentum, and pi is the initial momentum.

2. What is the formula for calculating momentum?

The formula for momentum is p = m * v, where p is momentum, m is mass, and v is velocity. Momentum is a vector quantity, meaning it has both magnitude and direction.

3. How does an object's mass and velocity affect its momentum?

An object's momentum is directly proportional to both its mass and velocity. This means that a larger mass or a higher velocity will result in a greater momentum. In other words, the more massive and/or faster an object is moving, the more difficult it is to stop or change its direction.

4. Can momentum be negative?

Yes, momentum can be negative. This occurs when an object is moving in the opposite direction of its initial motion. For example, if a car is initially moving east with a momentum of 100 kg*m/s, and then it starts moving west with a momentum of -50 kg*m/s, its change in momentum would be -150 kg*m/s.

5. How is momentum conserved in a closed system?

In a closed system, the total momentum before a collision or interaction is equal to the total momentum after the collision or interaction. This is known as the law of conservation of momentum. This means that momentum is neither created nor destroyed, but rather transferred between objects within the system.

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