How Do Newton's Laws Apply to a Tug-of-War on Ice?

AI Thread Summary
In a tug-of-war on a frictionless icy surface, Peter and John weigh 539N and 392N, respectively, with John accelerating towards Peter at 2.0m/s². To find the force Peter exerts on John, the equation F=ma is applied, where John's mass is calculated as approximately 40kg. Newton's third law indicates that the force John exerts on Peter is equal in magnitude but opposite in direction to the force Peter exerts on John. The discussion highlights confusion about converting weight to mass and the relationship between the questions. Ultimately, understanding these principles allows for solving the forces and accelerations involved in the scenario.
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Homework Statement


Peter and John are playing a game of tuf-of-war on a frictionless icy surface. Peter weighs 539N and John weighs 392N. DUring the course of the game, John accelerates toward Peter at a rate of 2.0m/s^2.
a) What is the magnitude of the force that Peter exerts on John?
b)What is the magnitude of the force that John exerts on Peter?
c) What is the magnitude of Peters acceleration toward John?


Homework Equations



F=ma

The Attempt at a Solution



so I'm really stuck with this one. Firstly, I'm not sure how to convert from weight to mass, I looked up a converter that said to multiply by 0.102 to get the weight in kg. ( did this, peter=55kg, john = 40kg). I'm not sure if that's right though. I also can't tell the difference between the questions, especially b and c. What are the variables in the first two questions? I think I should be solving for Newtons, but again, I'm just stuck. Any help would be appreciated
 
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Alyce777 said:

Homework Statement


Peter and John are playing a game of tuf-of-war on a frictionless icy surface. Peter weighs 539N and John weighs 392N. DUring the course of the game, John accelerates toward Peter at a rate of 2.0m/s^2.
a) What is the magnitude of the force that Peter exerts on John?
b)What is the magnitude of the force that John exerts on Peter?
c) What is the magnitude of Peters acceleration toward John?


Homework Equations



F=ma

The Attempt at a Solution



so I'm really stuck with this one. Firstly, I'm not sure how to convert from weight to mass, I looked up a converter that said to multiply by 0.102 to get the weight in kg. ( did this, peter=55kg, john = 40kg). I'm not sure if that's right though. I also can't tell the difference between the questions, especially b and c. What are the variables in the first two questions? I think I should be solving for Newtons, but again, I'm just stuck. Any help would be appreciated


-Go through the Newton's third law.
-mass(in kg) = W/g
 
Yea I've got the weights right, with the 55 and 40kg, I figured that part out. What I can't get is what the three questions are asking. Part C i got as being 120N but don't know what to use in a) and b)
 
Alyce777 said:
Yea I've got the weights right, with the 55 and 40kg, I figured that part out. What I can't get is what the three questions are asking. Part C i got as being 120N but don't know what to use in a) and b)

ok, so acceleration of the john is given,
and thus using F=ma you can find the force that is being applied on him.
and that would be the answer to "a) What is the magnitude of the force that Peter exerts on John?"

and using Newton's third law, you can find answer to the part b
 
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