In a tug-of-war game on one campus, 15 students pull on a rope at both ends in a

Question

In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 192 N each to the right, four students pull with force 96 N each to the left, five students pull with force 68 N each to the left, three students pull with force 154 N each to the right, and one student pulls with force 252 N to the left. Assuming the positive direction to the right, express the net pull on the knot (in N) in terms of the unit vector î.

  N

How big is the net pull on the knot (in N)? (Enter the magnitude.)

N

What direction is the net pull on the knot?

to the right to the left     The magnitude is zero.

Explanation / Answer

given, right direction is +x axis
so, people pulling right, Fr = 2*192 + 3*154 = 846 N
left direction, Fl = -(4*96+5*68 + 252) = -976 N
Fnet = Fr + Fl = -120 N

so, Magnitude of Fnet = 120 N
Direction is to the left

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