The mass of a high speed train is 4.5×105kg, and it is traveling forward at a velocity of 8.3×101m/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

In this item, we can rewrite the mass of the high speed train as 4.5 x10⁵ kg. Also, the velocity of the train is rewritten as 8.3 x 10¹ m/s. As given above, the momentum of the train is equal to the product of the two parameters.

   Momentum = (4.5 x 10³ kg)(8.3 x 10¹ m/s)
   Momentum = 3.735 x 10⁵ kg m/s

In the right number of significant figures, the answer would be 3.7 x 10⁵ kg m/s. The value of m is therefore 3.7 and n is equal to 5.