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 15 kg, the acceleration of the object is 5 m/s². When the same force acts upon another object, its acceleration is 3 m/s? What is the mass of this
object?

Answer 1

The mass of the object will be "25 kg".

Explanation:

Given that,

Mass,

m = 15 kg

Acceleration,

a = 5 m/s²

Now,

The force will be:

⇒
`F = ma`

`=15* 5`

`=75 \ N`

When, acceleration (a) = 3 m/s²

⇒
`F = ma`

or,

⇒
`m=(F)/(a)`

`=(75)/(3)`

`=25 \ kg`