Elastic 2-D Collisions without given masses?

In summary, the question is asking for the velocity of the shot stone after a collision with a stationary stone in a classic curling shot. The problem assumes a fully elastic collision and does not specify the masses of the stones, but it can be assumed that they have the same mass based on the use of the term "classic". The velocity of the shot stone can be calculated using the equations V11 = ((ΔmΔV)/ MT) + V2 and V21 = ((-2*M1*ΔV) / MT) + V2.
  • #1
kelseymclean
6
0

Homework Statement


In a classic curing shot, the shot stone, traveling at 6.0m/s [E] hits a stationary stone. The target stone is propelled at a velocity of 2.0 m/s [East30degreesSouth] What is the velocity of the shot stone after the collision? (Assume the collision is fully elastic)

Homework Equations


V11 =((ΔmΔV)/ MT) + V2
V21 = ((-2*M1*ΔV) / MT) + V2

The Attempt at a Solution


I don't know how to figure out this question without a mass
Do I go through the solution and just sub in a value for m? The problem is that the result will be different if the curling stones have different masses...
 
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  • #2
Since the masses of the stones are the same, I would think it would cancel out.
 
  • #3
Thats just it, it doesn't say they are the same. It doesn't specify what the mass is of either of the stones..
 
  • #4
"a classic curing shot" so its the same mass.
 
  • #6
Oh, I didn't realize that in a classic curling shot, they have the same mass... We've done examples in class where the rocks have the same mass, and some have different...
Thanks for your help everyone :)
 

FAQ: Elastic 2-D Collisions without given masses?

What is an elastic 2-D collision?

An elastic 2-D collision is a type of collision in which two objects interact in a way that conserves both momentum and kinetic energy. This means that the total momentum and total kinetic energy of the objects before and after the collision are the same.

How is an elastic 2-D collision different from an inelastic 2-D collision?

An inelastic 2-D collision is a type of collision in which the objects stick together after the collision and move as one combined object. In contrast, an elastic 2-D collision results in the objects bouncing off each other and retaining their individual identities.

What factors affect the outcome of an elastic 2-D collision?

The outcome of an elastic 2-D collision is affected by the masses and velocities of the objects involved, as well as the angle at which they collide. Additionally, the coefficient of restitution, which measures the elasticity of the objects, also plays a role in determining the outcome of the collision.

Can an elastic 2-D collision occur without knowing the masses of the objects?

Yes, an elastic 2-D collision can occur without knowing the masses of the objects. As long as the velocities and angles of the objects are known, the outcome of the collision can be calculated using the principles of conservation of momentum and kinetic energy.

What is the equation to calculate the final velocities of objects after an elastic 2-D collision?

The equation to calculate the final velocities of objects after an elastic 2-D collision is:
Vf1 = [(m1-m2)V1i1 + 2m2V1i2] / (m1 + m2)
Vf2 = [(m2-m1)V1i2 + 2m1V1i1] / (m1 + m2)
where Vf1 and Vf2 are the final velocities of objects 1 and 2, m1 and m2 are the masses of the objects, and V1i1 and V1i2 are the initial velocities of objects 1 and 2, respectively.

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