Glancing Collision and Kinetic Energy

The difference is the energy lost in the collision.In summary, after a mass m1 = 6.20 kg moving North with a velocity of v1 = 13.5 m/s collides with another mass m2 = 4.40 kg moving East with a velocity of v2 = 8.80 m/s in an inelastic collision, both masses stick together and move off at an angle θ = 56.3˚. The velocity of the combined masses after the collision can be determined by equating the total momentum in the x and y directions before and after the collision. The kinetic energy lost in this collision can be calculated by subtracting the total kinetic energy before the collision from the total kinetic energy
  • #1
njuice8
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A mass m1 = 6.20 kg is moving North with a velocity of v1 = 13.5 m/s when it collides perpendicularly with another mass m2 = 4.40 kg moving East with a velocity of v2 = 8.80 m/s. Mass m1 runs into mass m2 in an inelastic collision and both masses stick together and move off after the collision at an angle θ = 56.3˚.
What will be the velocity of these two masses after the collision?
How much kinetic energy was lost in this inelastic collision?

My work so far:
P initial:
1: x - 0 y - 6.2(13.5) = 83.7
2: x - 4.4(8.8) = 38.72 y - 0
P final:
1 & 2: x - 10.6(Vfcos56.3) = 5.9Vf y - 10.6(Vfsin56.3) = 8.8Vf

I don't know what to do next...

Also for the kinetic energy what would I do? Thanks!
 
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  • #2
njuice8 said:
I don't know what to do next...
Momentum will be conserved in each direction, right? So equate the total x momentum before to the x momentum after, and similarly y (but either will do to determine Vf; they've given you more information than you need).
Also for the kinetic energy what would I do? Thanks!
Compute the KE before and the KE after.
 

FAQ: Glancing Collision and Kinetic Energy

What is a glancing collision?

A glancing collision is a type of collision where two objects collide at an angle instead of head-on. This results in a change in the direction of motion of both objects.

How is kinetic energy affected in a glancing collision?

In a glancing collision, kinetic energy is conserved, meaning that the total amount of kinetic energy before the collision is equal to the total amount of kinetic energy after the collision. However, the distribution of kinetic energy between the two objects may change.

What factors affect the amount of kinetic energy in a glancing collision?

The amount of kinetic energy in a glancing collision is affected by the mass and speed of the objects involved, as well as the angle at which they collide. A higher mass or speed will result in a higher amount of kinetic energy, while a more oblique angle of collision will result in a lower amount of kinetic energy.

How is momentum conserved in a glancing collision?

In a glancing collision, momentum is also conserved, meaning that the total amount of momentum before the collision is equal to the total amount of momentum after the collision. This is true for both the magnitude and direction of momentum.

What real-life examples can demonstrate glancing collisions and kinetic energy?

Examples of glancing collisions and kinetic energy can be seen in sports such as billiards, where the balls collide at an angle, and in car crashes, where the angle of impact can affect the distribution of kinetic energy between the vehicles involved.

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