Question

A 2 kg object with a weight of 20 N is being pulled up by a rope with a tension of 12N what is the acceleration of the object

Answer 1

The object accelerates downward at 4 m/s² since the tension on the rope is less than weight of the object.

Step-by-step explanation:

Given;

mass of the object, m = 2 kg

weigh of the object, W = 20 N

tension on the rope, T = 12 N

The acceleration of the object is calculated by applying Newton's second law of motion as follows;

T = F + W

T = ma + W

ma = T - W

`a = (T-W)/(m) \\\\a = (12 - 20)/(2) \\\\a = -4 \ m/s^2` (the negative sign indicates deceleration of the object)

The object accelerates downward at 4 m/s² since the tension on the rope is less than weight of the object.