- #1
LiamC
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Car A has twice the mass of Car B but only half as much Ek (Kinetic Energy).
When both cars increase their speed by 6.00m/s their resulting Ek's are equal
What were the initial speeds of both cars?
ANS 1= 4.24m/s
ANS 2= 2.12 m/sKe=1/2mV^2
m(a)=2m(b)
Ek(a)=1/2Ek(b)
Ek(a)=1/2mV^2=1/2Ek(b)=1/2(1/2mV^2)
Ek(a)=1/2mV^2=1/4mV^2
Ek(a)=1/2mV^2= 1/4(2m)V^2
1/2mV^2=1/2mV^2
1/2m(vi+6.00m/s)^2=1/2m(vi+6.00m/s)^2
Now, i realize that i must have made a mistake somewhere because this expression as i have demonstrated as equal.
However this is not the answer.
I am under the assumption that my mistake lies in how i made the expressions equal to one another.
Can anyone find the flaw here?
Merci.
-LC-
When both cars increase their speed by 6.00m/s their resulting Ek's are equal
What were the initial speeds of both cars?
ANS 1= 4.24m/s
ANS 2= 2.12 m/sKe=1/2mV^2
m(a)=2m(b)
Ek(a)=1/2Ek(b)
Ek(a)=1/2mV^2=1/2Ek(b)=1/2(1/2mV^2)
Ek(a)=1/2mV^2=1/4mV^2
Ek(a)=1/2mV^2= 1/4(2m)V^2
1/2mV^2=1/2mV^2
1/2m(vi+6.00m/s)^2=1/2m(vi+6.00m/s)^2
Now, i realize that i must have made a mistake somewhere because this expression as i have demonstrated as equal.
However this is not the answer.
I am under the assumption that my mistake lies in how i made the expressions equal to one another.
Can anyone find the flaw here?
Merci.
-LC-
Homework Statement
Homework Equations
The Attempt at a Solution
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