Question

A 23.0 kg loudspeaker is suspended 1.20 m below the ceiling by two 4.00 m long cables that angle outward at equal angles. What is the tension in each cable?

a) 277 N
b) 312 N
c) 245 N
d) 198 N

Answer 1

The tension in each cable is 225.7 N, so the correct answer is a) 277 N.

Step-by-step explanation:

To find the tension in each cable, we can use the concept of equilibrium. Since the loudspeaker is not accelerating vertically, the sum of the vertical forces acting on it must be zero. The tension in each cable is equal to half of the weight of the loudspeaker, which is given by the formula Tension = Weight / 2.

Tension = (23.0 kg * 9.8 m/s²) / 2

Tension = 225.7 N

Therefore, the correct answer is a) 277 N.