Collision angle of deflection problem

In summary, the conversation involves a question about calculating the angle of deflection for a collision between two masses, with a diagram and formula provided. The response suggests using the law of conservation of momentum and equating the total x and y momentums before and after the collision. It also recommends defining the direction of the first mass as the x-direction and using horizontal and vertical components to solve for the angle of deflection.
  • #1
PhysicsDud
24
0
I'm really stuck on this questions, I don't even know where to start, can anyone help me?

A particle of mass m1 and velocity v1 collides with a stationary mass m2. After the collision, the two masses are deflected as shown in the diagram. Show that the angle of deflection Angle2 of m2 is given by the formula:

See Attached for formula and diagram.

Thanks,

Physics DUD
 

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  • #2
I can't see the diagram yet, but I guaratee you that you start with the law of conservqation of momentum.

Momentum is conserved in the x-direction, and momentum is conserved in the y-direction.

Write a statement equating the total x-momentum before with teh total x-momentum after (using vector componants).

Write a second statement equating y-momentum before and after.

If you define the x-direction as the direction m1 is traveling, then the total y-momentum will be ... you know?
 
  • #3
The way that you do that is simple. Look at the momentum of the mass in the vertical and horizontal components. You should get two equations, all you do then is substitute one into the other (replacing v2 in the process). This should get you the required result.
 

FAQ: Collision angle of deflection problem

What is the collision angle of deflection problem?

The collision angle of deflection problem is a physics concept that refers to the angle at which two objects collide and the resulting deflection or change in direction of one or both objects as a result of the collision.

How is the collision angle of deflection calculated?

The collision angle of deflection is calculated using the principles of conservation of momentum and conservation of energy. The angle can be determined by analyzing the initial velocities, masses, and angles of the objects involved in the collision.

What factors affect the collision angle of deflection?

The collision angle of deflection is influenced by several factors such as the mass and velocity of the objects, the angle at which they collide, and the elasticity or stiffness of the objects. Other factors like friction and external forces may also affect the angle.

Can the collision angle of deflection be predicted accurately?

While the collision angle of deflection can be calculated using mathematical equations, it may not always accurately predict the actual angle in real-life scenarios. Factors such as imperfections in the objects or external forces may cause variations in the predicted and actual angles.

What are some real-world applications of the collision angle of deflection problem?

The collision angle of deflection problem has various applications in fields such as engineering, physics, and sports. It is used to design structures and objects to withstand collisions, analyze the impact of car crashes, and predict the trajectory of projectiles in sports like golf or billiards.

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