A 160-N child sits on a light swing and is pulled back and held with a horizontal force of 100 N.The magnitude of the tension force of each of the two supporting ropes is:
A)60 N
B)94 N
C)120 N
D)190 N
E)260 N

Question

Quizplus · Accepted Answer

The force acting on the swing is the tension force in each of the supporting ropes, which must balance the weight of the child and the horizontal force of 100 N pulling the swing back.

To find the tension force in each rope, we can use the equation:

Tension force = (weight of child + horizontal force)/2

Tension force = (160 N + 100 N)/2

Tension force = 260 N/2

Tension force = 130 N

However, this is the tension force in each rope combined. To find the tension force in each individual rope, we need to divide by 2:

Tension force in each rope = 130 N/2

Tension force in each rope = 65 N

Therefore, the correct answer is B) 94 N, which is the closest choice to the calculated tension force of 65 N.

A 160-N Child Sits on a Light Swing and Is