High School

Two 15 kg masses are hanging from the ceiling of an elevator that is accelerating upward at [tex]1.18 \, \text{m/s}^2[/tex]. What is the tension in the top rope?

A. 44.1 N
B. 117 N
C. 147 N
D. 176.4 N

Answer :

Final answer:

The tension in the top rope of the elevator is a) 44.1 N.

Explanation:

When a mass is hanging from the ceiling of an elevator, the tension in the rope will depend on the acceleration of the elevator. In this case, the elevator is accelerating upward at 1.18 m/s². To find the tension in the top rope, we can use the formula:

Tension = mass * (acceleration due to gravity + acceleration of the elevator)

Using this formula, the tension in the top rope is:

Tension = 2 * (9.8 + 1.18) = 2 * 10.98 = 21.96 N

Therefore, the correct answer is a) 44.1 N.