Question

Given the formula k=1/2mv^2, where

1) K represents kinetic, energy
2) m represents mass and has units of kilograms (kg), and
3) v represents velocity and has units of meters per second (m/s)
Select an appropriate measurement unit for kinetic energy.
A:kgm/s^2
B:kgm^2/s
C:kgm^2/s^2
D:kg^2m^2/s^2

Answer 1

option C: kgm^2/s^2.

Explanation:

The formula for kinetic energy is k=1/2mv^2, where m represents mass in kg, and v represents velocity in m/s. Therefore, substituting the units of mass and velocity into the formula we get:

k = 1/2 x kg x (m/s)^2

k = 1/2 kg x m^2/s^2

Hence, the appropriate measurement unit for kinetic energy is option C: kgm^2/s^2.