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1) a. Suppose you have a tug-of-war with someone who is the same weight as you.

ID: 2260847 • Letter: 1

Question

1) a. Suppose you have a tug-of-war with someone who is the same weight as you. You both pull as hard as you can, and it is a stand-off. One might move a little in one direction or the other, but mostly you are both at rest. Predict the relative magnitudes of the forces between person 1 and person 2.

b.Suppose you now have a tug-of war with someone much smaller and lighter than you. As before, you pull as hard as you can, and it is a standoff. One might move a little in one direction or the other, but mostly you are both at rest. Predict the relative magnitudes of the forces between person 1 (large) and person 2 (small).

c. Suppose you now have a tug-of war with someone much smaller and lighter than you.This time the lighter person is on a skateboard, and with some effort you are able to pull him along the floor. Predict the relative magnitudes of the forces between person 1 (large) and person 2 (small).

Possible answer choices for each case:
A. Person 1 exerts a larger force on person 2.
B. Person 2 exerts a larger force on person 1.
C. The people exert the same size force on each other.

Explanation / Answer

For parts a and b answer will be (C) the people exert same size force on each other.

As it turns out that both are at rest implies both are balanced by the forces acting on it. And a/c to 3rd law, action force by one must have equal n opposite magnitude on the 2nd one.

Now come to the 3rd part,

answer would be choice (A) Person 1 exerts a larger force on person 2.

As its obvious from the Free body diagram of each.The net force on lighter must be acting rightwards thats the reason he is moving towards right, ie being pulled by person 1.