Inelastic Collision: Skiing on a Hill - Find Final Velocity

AI Thread Summary
To find the final velocity of the two skiers after an inelastic collision, the initial potential energy of the 65 kg skier at the top of the 30 m hill converts to kinetic energy at the bottom. The relevant equations involve using gravitational potential energy (mgh) to determine the skier's speed just before the collision. The momentum conservation equation m1v1 + m2v2 = (m1 + m2)v can then be applied to find the final velocity after the collision. The height is crucial as it influences the skier's speed upon reaching the bottom. Understanding both energy conversion and momentum principles is essential for solving this problem.
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in a movie stunt, a 65 kg skier starts from a rest postion at the top of a hill 30 m high. she slides down the hill to the bottom, where she collides with a 45 kg stationary skier. the collision is completely inelastic. find the fiinal velocity of the skiers.

ATTEMPT.
i know i have to use
m1v1+ m2v2= (m1+m2)v

but I'm not sure about what values to use. and why am i given the height?
 
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The height will determine the speed of the 65 kg skier as she reaches the bottom of the hill just before colliding with the stationary skier. What equation should you use to get that speed?
 
the only equation for speed i can think of is distance/time
 
The skier at the top of the hill has potential energy which all gets turned into kinetic energy at the bottom. This is why the height of the hill is given.
 
if you are uncomfortable with energy method ... you can also do it with simple kinematics.

Tell me if you need help
 
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