What are the momentum troubles in this 2D collision problem?

In summary, the problem involves a 600g billiard ball colliding with an 800g ball at rest, resulting in the 600g ball being deflected at an angle of 37 degrees above its original direction. The problem can be solved using conservation of linear momentum and by resolving the components of velocities along the x and y directions. The magnitude and direction of the 800g ball's velocity can be determined by solving the equations.
  • #1
Hafsaaa
7
0

Homework Statement



A 600g billiard ball moving to the right at 2 m/s collides with an 800g ball at rest. After the collision, the 600 g deflected at an angle of 37 degrees above its original direction at a rate of .5 m/. What is the magbnitude and diredction of 800g ball's velocity?

Homework Equations


m1*v1+m2*v2=m1*v1+m2*v2

The Attempt at a Solution


I'm not even sure where to start. I'm totally confused on whether and when to use sin, con, and tan in this problem
 
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  • #2
Hi Hafsaaa
The 600g ball is deflected at an angle of 37 degrees above its original direction.
Take the original direction along + x-axis for easier understanding.
Applying conservation of linear momentum, you will find that the 800g ball will gain velocity in some direction.
Resolve the components of velocities of both the balls along x and y directions (in terms of sin and cos) and then try to solve.
 

1. What is momentum in 2D?

Momentum in 2D is a physical quantity that describes the motion of an object in two dimensions. It is the product of an object's mass and its velocity in the x and y directions.

2. How is momentum conserved in 2D?

In a closed system, the total momentum in the x and y directions remains constant, meaning that the initial momentum will be equal to the final momentum. This is known as the law of conservation of momentum.

3. What happens if there is an external force acting on an object in 2D?

If there is an external force acting on an object in 2D, its momentum will change. This change in momentum is directly proportional to the force applied and the amount of time it acts on the object.

4. How is momentum calculated in 2D?

To calculate momentum in 2D, you can use the formula p = mv, where p is momentum, m is mass, and v is velocity in the x and y directions.

5. What are some real-world examples of troubles with momentum in 2D?

Some real-world examples of troubles with momentum in 2D include collisions between objects, projectiles launched at an angle, and objects moving on a curved path. In these situations, it can be challenging to accurately predict the momentum of the objects involved.

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