A cable raises a mass of 158.0 kg with an acceleration of 1.8 m/s2. What force (in N) of tension is in the cable?

Force of Tension = 1832.8 N

Explanation:

Any mass of object supported or pulled by a rope or cable is subject to a force of tension. Since the mass is raised by a cable, tension is involved.

Mathematically,

Tension = mass * gravity (9.8 m/s²)

Tension can be represented as

T = (m * g) + (m * a)

Where g is the acceleration due to gravity of the object the cable is supporting and a is the acceleration on the object the cable is supporting. And m is the mass of the object.

mass = 158 kg

a = 1.8 m/s²

g = 9.8 m/s²

T = mg + ma

T = m (g + a)

T = 158 (9.8 + 1.8)

T = 158 * 11.6

T = 1832.8 N