Question

The linear momentum is a constant when the mass varies inversely of the velocity. If the velocity is 16 meters per second and the object weighs 450 kilograms, what is the weight for an object with a velocity of 12 meters per second?

400 kilograms
600 kilograms
6,400 kilograms
7,200 kilograms

Answer 1

the weight for an object with a velocity of 12 meters per second is 600 kilograms

Explanation:

The linear momentum of an article is : p = mv

Where p = Momentum

m = mass

v = velocity

The velocity is 16 meters per second and the object weighs 450 kilograms

So,
`p = 450 * 16`

We are supposed to find the weight for an object with a velocity of 12 meters per second

So, p = 12m

We are given that the linear momentum is a constant when the mass varies inversely of the velocity.

So,
`450 * 16 = 12 * m\\(450 * 16)/(12)=m\\600=m`

Hence the weight for an object with a velocity of 12 meters per second is 600 kilograms