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Nellie pulls with a force of 50 n on a horizontal rope tied to a tree at rest. The net force on the rope is

User MMelnicki
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Missing choices. Found on google:

A) 50 N and rope tension is 0 N.

B) 50 N and rope tension is also 50 N.

C) zero and rope tension is 50 N.

D) zero and rope tension is also zero.

Answer:

C) zero and rope tension is 50 N.

Step-by-step explanation:

First of all, we notice that the rope is tied to the tree: this means that it cannot move. This implies that its acceleration is zero:

a = 0

And so, according to Newton's second law,


F=ma

where F is the net force on the rope and m its mass, the net force on the rope must also be zero.

In this problem we are only concerned with what happens along the horizontal direction. We have two forces acting along this direction:

- The pull applied by Nellie, of magnitude Fp = 50 N

- The tension in the rope T, that acts in the opposite direction

Since the net force must be zero, we can write

Fp - T = 0

And so


T=Fp = 50 N

So the correct option is

C) zero and rope tension is 50 N.

User Haseeb Javed
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