Question

The mass of a high speed train is 4.5×105 kg, and it is traveling forward at a velocity of 8.3×101 m/s. Given that momentum equals mass times velocity, determine the values of m and n when the momentum of the train (in kg⋅m/s) is written in scientific notation.

Answer 1

Mass $=4.5\times 10^8kg$

Velocity$=8.3\times 10^1m/s$

Momentum$=$ Mass$\times$ Velocity

In mathematical terms; $m\times v$

$\therefore$ $P=[4.5\times 10^6Kg][8.3\times 10^1m/s]$

$=3.735\times 10^7kg/m/s$

In determination of the values of $m$ and $n$ from the momentum, the significant figure roles of multiplication apply, which are;

$3.7\times 10^7kg^{-1}m^{-1}s^{-1}$