Question

Which of the following units are equivalent to the following expression, where "v" is speed, "M" is mass, and "t" is time? Mv^2 / t

Answer 1

The expression Mv^2 / t represents the quantity of kinetic energy.

The units equivalent to the expression Mv^2 / t can be determined by substituting the base units of mass (M), speed (v), and time (t) into the expression. In the International System of Units (SI), the base units for mass, speed, and time are kilogram (kg), meter per second (m/s), and second (s), respectively.

Substituting the units into the expression, we have:

(Mv^2 / t) = (kg) × (m/s)^2 / (s)

Expanding the units, we get:

(Mv^2 / t) = kg × (m^2/s^2) / s

Simplifying further, we have:

(Mv^2 / t) = kg × m^2 / s^3

Therefore, the units equivalent to the expression Mv^2 / t are kilogram times meter squared per second cubed (kg·m^2/s^3).