## Daniellelovee one year ago 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

1. Daniellelovee

@mathmate

2. Daniellelovee

@dan815

3. Daniellelovee

@mathmate

4. anonymous

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

5. Daniellelovee

@Shalante

6. anonymous

Show me your work. Dont tell me.

7. Daniellelovee

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

8. Daniellelovee

so A then?

9. anonymous

10. Daniellelovee

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

11. anonymous

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

12. Daniellelovee

yes but the speed on the problem is squared

13. anonymous

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

14. anonymous

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

15. Daniellelovee

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

16. anonymous

No problem! Good luck on the rest.

17. Daniellelovee

thank you :)