Solving for the Target's Mass in a One-Dimensional Elastic Collision

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In a one-dimensional elastic collision problem, a tennis ball with a mass of 5.70x10^-2 kg collides with a movable target of unknown mass. The ball initially moves at 185 km/h and bounces back at 80 km/h after the collision. To find the target's mass, both the conservation of momentum and the conservation of kinetic energy must be applied. The momentum equation is m1v1i + m2v2i = m1v1f + m2v2f, while the kinetic energy conservation equation is also necessary to solve for the target's final velocity. Combining these equations will yield the target's mass, assuming it starts at rest.
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I can't solve this problem:

Suppose a tennis ball moving to the right at 185 km/h hits a moveable target of unknown mass. After the one-dimensional, perfectly elastic collision, the tennis ball bounces to the left with a speed of 80.0 km/h. If the tennis ball's mass is 5.70x10^-2kg, what is the target's mass? (Hint: use the conservation of kinetic energy to solve for the second unknown quantity.)

Thank you very much!
 
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physics87 said:
I can't solve this problem:

Suppose a tennis ball moving to the right at 185 km/h hits a moveable target of unknown mass. After the one-dimensional, perfectly elastic collision, the tennis ball bounces to the left with a speed of 80.0 km/h. If the tennis ball's mass is 5.70x10^-2kg, what is the target's mass? (Hint: use the conservation of kinetic energy to solve for the second unknown quantity.)

Thank you very much!

The hint the problem gave u solves things just by half,since there's another equation u have to put in.The equation which results by a proper projection of the linear momentum conservation eq. along the axis of the movement.
 
thank you for your help, but i do not know how to combine these equations.
so far i have:
1=tennis ball
2=movable target
m1v1i+m2v2i=m1v1f+m2v2f
m2(v2f-v2i)=m1(v1i-v1f)
m2=[m1(v1i-v1f)]/(v2f-v2i)
Is the movable target initaily at rest?
And, how can I use the conservation of KE to solve for the final velocity of the movable target?
Thank you for all your help!
 

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