Question

A sled's mass is 9 kg. It is held in place on a frictionless 16-degree slope by a rope attached to a stake at the top of the slope. What is the tension in the rope if it is parallel to the slope?

Answer 1

The tension in the rope if it is parallel to the slope is 24.31 N.

Step-by-step explanation:

Given;

mass of the sled, m = 9 kg

angle of inclination of the slope, θ = 16⁰

The tension in the rope if it is parallel to the slope is calculated from the parallel component of the tension;

`T_|_| = mgSin \theta\\\\T_|_| = 9 * 9.8 * sin(16^0)\\\\T_|_| = 24.31 \ N`

Therefore, the tension in the rope if it is parallel to the slope is 24.31 N.