A standard object defined as having a mass of exactly 8.86 kg is given an acceleration of 2.27 m/s 2 when a certain force is applied to it. A second object of unknown mass acquires an acceleration of 1.0721 m/s 2 when the same force is applied to it. What is the mass of the second object? Answer in units of kg.

Mass of second object = 18.76 kg

Explanation:

We have force is the product of mass and acceleration,

Force = Mass x Acceleration

F = ma

A standard object defined as having a mass of exactly 8.86 kg is given an acceleration of 2.27 m/s² when a certain force is applied to it.

Force applied, F = 8.86 x 2.27 = 20.11 N

A second object of unknown mass acquires an acceleration of 1.0721 m/s² when the same force is applied to it.

Force = Mass x Acceleration

20.11 = Mass x 1.0721

Mass = 18.76 kg

Mass of second object = 18.76 kg