Question

At what speed must a 0.6 kg stone be thrown in order that it has a relativistic mass of 0.76 kg? (c = 3.00 x 10^8 m/s) A) 0.69768c B) 0.6138 c C) 0.33 c D) 0.2409 c E) 0.415 c

Answer 1

The speed of the stone is 0.6138 c.

(B) is correct option.

Step-by-step explanation:

Given that,

Mass of stone m= 0.6

Relativistic mass = 0.76

We need to calculate the speed

Using formula of rest mass

`m_(r)=\frac{m_(0)}{\sqrt{1-(v^2)/(c^2)}}`

`v^2=((m_(0)^2)/(m_(r)^2)-1)c^2`

Put the value into the formula

`v^2=((0.6^2)/(0.76^2)-1)* c^2`

`v=√(0.37673c^2)`

`v=0.6138c`

Hence, The speed of the stone is 0.6138 c.