A force of 1.25x103N is required to lift an object that is under the influence of an acceleration due to gravity of 7.86ft/sec2. What is the object's mass in kilograms?

Mass = 520.83 kg

Explanation:

Newton's second law states

Force = mass * acceleration

The force applied must be equal to the weight of the object to lift it ignoring frictional forces and resistances.

therefore weight = force

so W = mg where g is the acceleration due to gravity

therefore 1.25*103 N = m * 7.86 ft / sec square

But SI unit of g is m/sec square

1 ft = 0.3048 m

therefore multiplying 7.86 ft with 0.3048 m = 2.395 = 2.4 m to get the value in meters.

W = mg

m = W/g=1.25*10³ / 2.4 = 1250/2.4 = 520.833 kg