Tension needed to lift a 6.0 kg mass upward at 1.5 m/s^2

Solution

Physics · Medium

Assumptions: upward is positive, the rope is light, and g = 9.8 m/s^2.
Forces: tension T upward and weight mg downward.
Use T - mg = ma.
T = m(g + a)
T = (6.0 kg)(9.8 m/s^2 + 1.5 m/s^2)
T = (6.0 kg)(11.3 m/s^2)
T = 67.8 N.

Result

67.8 N