Question

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

Answer 1

Answer:

58.8 N

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:

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