Measuring distance using Ek and Ep?

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The discussion revolves around calculating the distance a car travels up a hill using kinetic energy (Ek) and gravitational potential energy (Ep). The car's mass is given as 1 tonne, and it travels at a speed of 75 km/h, which needs to be converted to meters per second for accurate calculations. The kinetic energy is calculated as 36,450,000 J, which is then equated to gravitational potential energy to find the height (H) the car can reach. The calculation shows that H equals approximately 3719.38 meters, but participants emphasize the importance of consistent units throughout the calculations. The thread highlights the need for clarity in substituting values and ensuring unit conversions are correctly applied.
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measuring distance using Ek and Ep??!

okay, so the problem gives the following information
a car(1 tonne) is traveling at 75km/hr, up a hill. Assuming gravity is 9.8ms-2 , how far will the car travel?

so far I've done:
Ek= (.5 x m x v^2)
Ek= 36450000J

36450000=m x g x h
36450000=9800 x H
36450000/9800= H
H= 3719.38m

is this correct?
 
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It would help if one shows the substitution of the values.

1/2 mv2 = 0.5 * 1000 kg * (______ m/s)2? Make sure units are consistent.
 
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