Conservation of momentum problems

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SUMMARY

The discussion centers on a conservation of momentum problem involving a grand piano and a pianist. The grand piano, with a mass of 1250 kg, moves forward at a velocity of 0.06 m/s after the pianist pushes off, rolling backward at 1.4 m/s. The calculation for the pianist's mass is confirmed to be 54 kg using the formula for momentum conservation. The steps include determining the piano's velocity and applying the momentum conservation equation accurately.

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The larges grand piano in the world is really grand. Built in London, it has a mass of 1250 kg. Suppose a pianist finishes playing this piano and pushes herself from the piano so that she rolls backwards with a speed of 1.4m/s. Meanwhile, the piano rolls forward so that in 4.0s it travels 24 cm at constant velocity. Assuming the stool that the pianist is istting on has a negligible mass, what is the pianist's mass?

a. v of piano= s/t= .24/4=.06m/s
b. mp2= -mpvp,f/vp2,f= (-1250*.06)/-1.4 = 54kg

Correct me if I'm wrong, thanks!
 
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