Conservation of momentum for a robot on a space platform

AI Thread Summary
The robot's momentum is calculated as 95.0 x 1.4 m/s towards the platform, which must equal the momentum imparted to the beam. The initial calculation suggests a beam velocity of 0.403 m/s, leading to a relative velocity of 0.997 m/s for the robot. However, the robot's velocity of 1.4 m/s is relative to the beam, not the platform. To resolve the issue, two equations should be established: one for the robot's velocity relative to the beam and another for conservation of momentum. This approach will clarify the correct velocities involved.
resurgance2001
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Homework Statement
While constructing a space platform, a 95.0 kg robot is standing on a 25.0 m long, 330. kg steel beam that is floating in space, initially motionless relative to the platform and pointing towards the platform which is not attached. Using its magnetic feet the robot starts walking along the beam in the direction of the platform at 1.40 m/s relative to the beam. What is the robot's velocity relative to the platform in m/s?
Relevant Equations
Conservation of momentum.
The momentum of the robot is 95.0 x 1.4 m/s towards the platform. This must be equal and opposite to the momentum imparted to the beam. Dividing 133 kg m/s by 330.0 Kg gives a velocity of 0.403 m/s for the beam. So the relative velocity of the robot relative to the platform is 1.40 - 0.403 = 0.997 m/s. But the computer says this is the wrong answer! Have I missed something? Thanks in advance for any suggestions.
 

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Your calculation seems correct to me.
 
resurgance2001 said:
Dividing 133 kg m/s by 330.0 Kg gives a velocity of 0.403 m/s for the beam.
That assumes 1.4 is the robot's velocity relative to the platform. It's not. It's the velocity relative to the beam.
To solve this you need to write two equations, for the two unknowns: let x and y be the velocity towards the platform of robot and beam respectively. Your first equation comes from the fact that x-y is the robot's velocity relative to the beam, which is given. Your second comes from conservation of momentum.
 
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