Momentum Question: Calculating Velocity on a Rolling Platform

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The discussion revolves around calculating the velocities of Stevie and the rolling platform based on the principles of momentum. The platform, with a mass of 76 kg, moves in the opposite direction of Stevie, who walks at a velocity of +1.2 m/s relative to the platform. The solution involves using the momentum equation to find the platform's velocity relative to the floor as -0.43 m/s and Stevie's velocity as +0.77 m/s. The key concept is understanding that "relative to" refers to the motion of each object in relation to the floor. The calculations require considering both masses and their opposing movements.
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Homework Statement



Stevie stands on a rolling platform designed for moving heavy objects. The platform has mass of 76 kg and is on a flat floor, supported by rolling wheels that can be considered to be frictionless. Stevie's mass is 43 kg. The platform and Stevie are stationary when she begins walking at a constant velocity of +1.2 m/s relative to the platform. (a) What is the platform's velocity relative to the floor? (b) What is Stevie's velocity relative to the floor?

Homework Equations





The Attempt at a Solution



the answers are supposed to be:
a)-.43 m/s
b) .77 m/s

i don't understand how they got this. but my main question is what do they mean in REGARDS TO?

thanks!
 
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The frictional force from Stevie's shoes will move her forward. The frictionless platform has no friction and will move in the opposite direction.

Both questions will be solved by equation of momentum (i.e., m_1v_1=m_2v_2).

A) Stevie is moving at +1.2 m/s and her movement causes the platform to move. The moving platform has Stevie standing on it so you will have to account for both masses and also the fact that it is moving in the opposite direction of Stevie.

B) The platform has a mass and is moving at the velocity you found in part A. Stevie has a mass and is moving in the opposite direction of the platform.
 
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i know this sounds dumb, but I'm not sure what to do with what you told me :(
 
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