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=1/2mv2. In this system of units, what units would be used to express KE?
g*cm2/s2

g*cm/s

kg*cm2/s2

g*cm3/s

Question

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=1/2mv2. In this system of units, what units would be used to express KE?
       g*cm2/s2

       g*cm/s

       kg*cm2/s2

       g*cm3/s

daniellelovee · Answer

@mathmate

daniellelovee · Answer

@dan815

daniellelovee · Answer

@mathmate

anonymous · Answer

m is mass
v is velocity
Mass would have to be in grams according to your question

Cm would have to be your distance or length
Time would have to be in seconds
But velocity is distance (cm)/time (s)
so units for velocity is cm/s

daniellelovee · Answer

@Shalante

anonymous · Answer

Show me your work.
Dont tell me.

daniellelovee · Answer

ok so half of grams time speed squared would be g/s^2

daniellelovee · Answer

so A then?

anonymous · Answer

Stop mentioning answers until you solved it please.

daniellelovee · Answer

ok but Im sure is A now because it seems similar to what the problem is saying

anonymous · Answer

grams times speed is
$$g \times \frac{ m }{ s }$$

daniellelovee · Answer

yes but the speed on the problem is squared

anonymous · Answer

If you solve it algebraically, I can confirm your answer.
Tell me which part you are lost in and I will help.

anonymous · Answer

Yep that is logical, but it might not always be correct.

daniellelovee · Answer

nvm Im not lost anymore, I got this, and thank you for your help :)

anonymous · Answer

No problem!
Good luck on the rest.

daniellelovee · Answer

thank you :)