The mass of a body m moving with a velocity v is given by m=(m0/√1-(v2)c2) where m0= rest mass, c= speed of light =3 × 108 ms -1. The approximate value of m (in .kg ) for m0=10 kg , v=3 × 107 ms -1 is .

Question

The mass of a body m moving with a velocity v is given by m=(m0/√1-(v2)c2) where m0= rest mass, c= speed of light =3 × 108 ms -1. The approximate value of m (in .kg ) for m0=10 kg , v=3 × 107 ms -1 is . (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

m=(10/√1-(9 × 1014)9 × 1016)=(10/√1-(1)100)=(10/1)=10

Q. The mass of a body $m$ moving with a velocity $v$ is given by $m = \frac{m _{0}}{1 - \frac{v ^{2}}{c ^{2}}}$ where $m_{0} =$ rest mass, $c =$ speed of light $= 3 \times 1 0^{8} m s^{- 1}$ . The approximate value of $m$ (in $k g)$ for $m_{0} = 10 k g, v = 3 \times 1 0^{7} m s^{- 1}$ is ____.

$m = \frac{10}{1 - \frac{9 \times 1 0 ^{14}}{9 \times 1 0 ^{16}}} = \frac{10}{1 - \frac{1}{100}} = \frac{10}{1} = 10$

Q. The mass of a body m moving with a velocity v is given by m=1−c2v2​​m0​​ where m0​= rest mass, c= speed of light =3×108ms−1. The approximate value of m (in kg) for m0​=10kg,v=3×107ms−1 is ____.

m=1−9×10169×1014​​10​=1−1001​​10​=110​=10

Q. The mass of a body $m$ moving with a velocity $v$ is given by $m = \frac{m _{0}}{1 - \frac{v ^{2}}{c ^{2}}}$ where $m_{0} =$ rest mass, $c =$ speed of light $= 3 \times 1 0^{8} m s^{- 1}$ . The approximate value of $m$ (in $k g)$ for $m_{0} = 10 k g, v = 3 \times 1 0^{7} m s^{- 1}$ is ____.

$m = \frac{10}{1 - \frac{9 \times 1 0 ^{14}}{9 \times 1 0 ^{16}}} = \frac{10}{1 - \frac{1}{100}} = \frac{10}{1} = 10$