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

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