Newton's laws during a tug of war

AI Thread Summary
In a tug of war scenario on a frictionless surface, Adam and Ben pull against each other with different masses and accelerations. Adam, with a mass of 75.0 kg, accelerates at 1.00 m/s² to the east, resulting in a force of 75.0 kg multiplied by 1.00 m/s². According to Newton's third law, the force Adam exerts on the rope is equal and opposite to the force the rope exerts on him. This means Ben experiences the same force in the opposite direction, allowing the calculation of his acceleration using the second law of motion. The discussion emphasizes applying Newton's laws to determine the dynamics of the tug of war.
Kindyl
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Homework Statement


Adam and Ben pull hand over hand on opposite sides of a rope while standing on a frictionless pond.
Adam's mass: 75.0kg
Ben's mass: 50.0kg
Adam's acceleration: 1.00 m/s2 to the east
What is the magnitude and direction of Ben's acceleration?
 
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Did you attempt to do the problem yourself? What principles do you think you should apply to this problem?
 
the second law of motion? I don't know where to start.
Matterwave said:
Did you attempt to do the problem yourself? What principles do you think you should apply to this problem?
 
You certainly can use the second law of motion. Let's start there. If Adam's acceleration is 1 m/s2 east, what does the second law say about the force exerted on him?
 
force would be 75.0kg( 1 m/s2)
 
If this is the force the rope exerts on Adam, how much force does Adam exert on the rope?
 
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