Question

A typical american football has a mass of 14.514.5 ounces​ [oz]. If the ball is taken to the​ moon, what is the mass in units of grams​ [g] of the ball on the​ moon?

Answer 1

The mass of a body is the amount of substance present inside it.

As per Einstein's theory of relativity mass changes relatively when the velocity of the body is comparable to the velocity of light.

As per this theory $m= \frac{m_{0} }{\sqrt{1-\frac{v^2}{c^2} } }$

where c is the velocity of light and v is the velocity of the particle.

m is the mass of the object in motion and $m_{0}$ is the rest mass.

Here m increases with the increase in velocity of the body.

In our day to day life we generally view non relativistic situation.

Here the velocity of the object is very less as compared to the velocity of the light.In this situation the mass does not change .

As per the question the canon ball is taken to the moon.

So there will be no change in its mass as it is either at rest on moon or moving with some velocity that is very less as compared to the velocity of light.

The mass of the canon ball is given as m=14.5145 ounces.

we know that one ounce=28.35 grams

Hence 14.5145 ounces =14.5145×28.35 grams

                                     =411.486075 grams [ANS]