Question

3. The rest mass of an electron is 9.1x10^-28gm. what will be it's mass if it is moving with (4/5)th the speed of light ?

Answer 1

Don’t know mate .
Please mark as brainliest

Answer 2

Answer:

The speed of light is $15.16 X 10^{-28}$ gm

Explanation:

There are two terms involved here i.e. Rest mass and Relativistic mass.

The rest mass is an intrinsic property of matter and it doesn't depend on the frame of reference.

Relativistic mass depends on a frame of reference and is a mass assigned to the body in motion i.e. when the body is moving with a speed comparable to the speed of light.

Here given

rest mass(Mo)=  $9.1 X 10^-28$ gm

Velocity(v)=  $\frac{4c}{5}$

speed of light (c)=  $3 X 10^8$  m/sec

 m= relativistic mass=?

so by using the formula,

$m= \frac{M_0}{\sqrt{(1-\frac{V^2}{C^2})}}$

$m= \frac{9.1\times10^{-28}}{\sqrt{(1-\frac{(\frac{4}{5} ^2)}{C^2})}}= 15.16 \times 10^{-28} gram$

Therefore, the mass is $15.16 X 10^{-28}$ gm.