Finding Total momentum of a system

In summary, a 2.2-kg cart and a 1.0-kg cart with magnets are traveling towards each other on a frictionless track. At a certain instant, the first cart's velocity is +4.3 m/s and the second cart's velocity is -1.1 m/s. The total momentum of the system at this instant is 8.4 N. To find the total momentum, the individual momentums of each cart, 9.5N and -1.1N, are added together.
  • #1
mcordi
3
0

Homework Statement



A 2.2-kg cart is rolling along a frictionless, horizontal track towards a 1.0-kg cart that is held initially at rest. The carts are loaded with strong magnets that cause them to attract one another. Thus, the speed of each cart increases. At a certain instant before the carts collide, the first cart's velocity is +4.3 m/s, and the second cart's velocity is -1.1 m/s.*(a)*What is the total momentum of the system of the two carts at this instant?*(b)*What was the velocity of the first cart when the second cart was still at rest?

Homework Equations



p=mv

The Attempt at a Solution



So I found the momentums of each individual cart, (p1=9.5N and p2=-1.1N), do I just add the two values for the total momentum of the system? As in: 9.5N + -1.1N = 8.4 N

Thank you
 
Physics news on Phys.org
  • #2
edit: nevermind, to find the total momentum yes you just them together
 
Last edited:
  • #3
Thank you very much.
 

1. What is total momentum?

Total momentum is the quantity that describes the motion of a system. It is the product of an object's mass and its velocity. It is a vector quantity, meaning it has both magnitude and direction.

2. How do you calculate total momentum?

To calculate total momentum, you need to add up the individual momenta of all the objects in the system. This can be done by multiplying the mass of each object by its velocity and then adding all the individual momenta together.

3. Why is total momentum important?

Total momentum is important because it is a conserved quantity in a closed system. This means that the total momentum of a system will remain constant unless acted upon by an external force. It helps us understand the overall motion and interactions of objects in a system.

4. Can total momentum be negative?

Yes, total momentum can be negative. Momentum is a vector quantity, so it takes into account both magnitude and direction. If the direction of an object's momentum is opposite to the chosen positive direction, then the momentum will be negative.

5. How does total momentum change in a system?

Total momentum will only change if an external force is applied to the system. This is known as an impulse, which causes a change in an object's velocity and therefore its momentum. In a closed system, the total momentum will remain constant.

Similar threads

  • Introductory Physics Homework Help
2
Replies
40
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
24
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
8
Views
2K
  • Introductory Physics Homework Help
Replies
13
Views
5K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
6K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
4K
Back
Top