a 5.0 kg tool box is raised from the ground by a rope. if the upward acceleration of the bucket is 2.5 m/s^2, find the force exerted by the rope on the tool box. acceleration due to gravity is 9.8 m/s^2

62 N

Explanation:

Sum of the forces on the toolbox:

∑F = ma

T - mg = ma

T = mg + ma

T = m (g + a)

T = (5.0 kg) (9.8 m/s² + 2.5 m/s²)

T = 61.5 N

Rounded to two significant figures, the force exerted by the rope is 62 N.