What is the mass of this object?

Question

when a constant force is applied to an object, the acceleration of the object varies inversely with its mass. when a certain constant force acts upon an object with mass 18 kg, the acceleration of the object is 4 m/s^2. when the same force acts upon another object, its acceleration is 9 m/s^2. what is the mass of this object

Answer 1

Hello, Joe,

The force can be calculated using F=ma:

F = 18kg*4m/2² = 72 kg*m/s², which is 72 Newtons.

The same force is used to accelerate an unknown mass, M:

72 kg*m/s² = M*(9m/s²)

M = 8 kg

Bob