Conservation of momentum for a robot on a space platform

  • #1
resurgance2001
197
9
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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  • #2
Your calculation seems correct to me.
 
  • #3
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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1. What is conservation of momentum for a robot on a space platform?

Conservation of momentum is a fundamental law of physics that states that the total momentum of a closed system remains constant, meaning that the total amount of momentum before and after an event is the same. In the context of a robot on a space platform, this means that the robot's momentum will remain constant unless acted upon by an external force.

2. Why is conservation of momentum important for a robot on a space platform?

Conservation of momentum is important for a robot on a space platform because it allows the robot to maintain its position and direction in space without the need for constant propulsion. This is crucial for the robot to perform tasks and maneuvers in a weightless environment.

3. How does conservation of momentum affect the movement of a robot on a space platform?

Conservation of momentum affects the movement of a robot on a space platform by limiting its ability to change its direction or speed without an external force. This means that the robot must carefully plan and execute its movements to conserve its momentum and avoid collisions or other unwanted movements.

4. Can conservation of momentum be violated for a robot on a space platform?

No, conservation of momentum is a fundamental law of physics and cannot be violated. However, a robot on a space platform may appear to violate this law if it receives external forces from sources such as thrusters or collisions with other objects.

5. How can conservation of momentum be applied to improve the efficiency of a robot on a space platform?

Conservation of momentum can be applied to improve the efficiency of a robot on a space platform by using it to plan and execute movements that conserve the robot's momentum. This can help reduce the amount of energy and fuel needed for propulsion, making the robot more efficient in its tasks and operations.

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