5. A box weighs 196 N. A rope is tied to the box. What is the

tension in the rope if

(a) The box is accelerating upwards at 5 m/s?:

What is the Tension in the rope?

296 N

Explanation:

Draw a free body diagram. The box has two forces on it: tension up and weight down.

Apply Newton's second law:

∑F = ma

T - mg = ma

T = m (g + a)

Given m = 196 N / 9.8 m/s² = 20 kg, and a = + 5 m/s²:

T = (20 kg) (9.8 m/s² + 5 m/s²)

T = 296 N