Proving Perpendicular Motion: 2 Masses Colliding Obliquely

In summary, to prove that two masses undergo oblique collision, we can use the conservation of momentum and energy equations. Proving perpendicular motion is important because it helps us understand the laws of motion and the behavior of objects in collisions. It also allows us to calculate the resulting velocities and trajectories of the objects involved. However, perpendicular motion cannot occur without any external forces as a force must be applied to change an object's direction of motion. The outcome of a perpendicular collision can be affected by factors such as the masses of the objects, their initial velocities, and the angle at which they collide. In an oblique collision, the final velocities of the objects are dependent on the angle at which they collide, with a larger angle resulting in a greater
  • #1
markosheehan
136
0
two smooth spheres of masses 2kg and 4kg collide obliquely . the 2 kg mass is brought to rest. the coefficient of restitution is 1/2
prove before the impact the spheres were moving in perpendicular directions to each other.

using conservation of momentum. [tex] 4x+2y=4p+2(0) [/tex] where x and y are velocities before impact. p is velocity after impact of 4kg

Newtons experimental law [tex] p-0/x-y =-1/2 [/tex]

once i get there velocities in terms of the variables i don't know what to do
 
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  • #2
anyone?
the velocity in the j direction does not change as its along the i axis
 

FAQ: Proving Perpendicular Motion: 2 Masses Colliding Obliquely

How can you prove that two masses collide obliquely?

To prove that two masses undergo oblique collision, we can use the conservation of momentum and energy equations. By measuring the initial and final velocities of the masses and plugging them into these equations, we can determine if the collision was oblique.

What is the significance of proving perpendicular motion?

Proving perpendicular motion is important because it helps us understand the laws of motion and the behavior of objects in collisions. It also allows us to calculate the resulting velocities and trajectories of the objects involved.

Can perpendicular motion occur without any external forces?

No, perpendicular motion cannot occur without any external forces. In order for an object to change its direction of motion, a force must be applied to it. In the case of perpendicular motion, the forces must act at right angles to each other.

What factors can affect the outcome of a perpendicular collision?

The outcome of a perpendicular collision can be affected by various factors such as the masses of the objects, their initial velocities, and the angle at which they collide. These factors can change the amount of momentum and energy transferred between the objects during the collision.

How does the angle of collision affect the final velocities of the objects?

The angle of collision plays a significant role in determining the final velocities of the objects. In an oblique collision, the final velocities of the objects are dependent on the angle at which they collide. A collision at a larger angle will result in a greater change in direction and therefore, a larger change in velocity for the objects.

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