The mass m of a body moving with a velocity v is given by `m=m_(0)/sqrt(1-v^(2)/c^(2))` where `m_(0)` = rest mass of body `=10 kg` and c = speed of light `=3xx10^(8) m//s`. Find the value of m at `v=3xx10^(7) m//s`

Explanation

`m = m_(0) (1-(v^(2))/(c^(2)))^(-1//2) = 10 [1- ((3xx10^(7))/(3xx10^(8)))^(2)]^(-1//2) = 10 [ 1-(1)/(100)]^(-1//2) ~~ 10 [1- (-(1)/(2))((1)/(100))]=10 + (10)/(200) ~~ 10.05 ` kg