Question

If a 6kg ball is hanging by a rope from the ceiling at rest, what is the tension of the rope?

Answer 1

58.8 N

Step-by-step explanation:

Since the ball is hanging at rest, the net force on the ball must be zero.

There are only two forces acting on the rope:

- Its weight, downward, given by W = mg, where m = 6 kg is the mass of the ball and g=9.8 m/s^2 is the acceleration due to gravity

- the tension in the rope, T, upward

Therefore, the equation for the forces is:

`T-W=0`

And solving for T, we find:

`T=W=mg=(6 kg)(9.8 m/s^2)=58.8 N`