Question

PLEASE ANSWER CORRECTLY!
Suppose you are using a system of units based on the centimeter (cm) for length, the gram (g) for mass, and the second (s) for time.


The kinetic energy that an object has because of its motion is equal to half its mass times its speed squared, or KE = 1/2 mv2.


In this system of units, what units would be used to express KE?

A. g.cm/s
B. g.cm/s
C. kg. cm² /s^2
D. g.cm² /s^2​

Answer 1

The KE will be expressed in the unit g.cm² /s^2​.

The kinetic energy of a body is the energy possessed by the body by virtue of its motion.

Kinetic energy is given by; KE = 1/2 mv^2

If we are using units based on the centimeter (cm) for length, the gram (g) for mass, and the second (s) for time, then;

v = cm/s

KE = 1/2 g (cm/s)^2

The KE will be expressed in the unit g.cm² /s^2​.

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