Solve Hot-Wheels Car Mass, Velocity for Height

[smithers11]

Homework Statement

"A hot-wheels car of mass 0.0250 kg is traveling on a horizontal track with a velocity of 5.00m/s. If the track suddenly turns upward, how high up the track can the car travel?"

Homework Equations

work = mgh = force * distance
PEf + KEf = PEi + KEi
KE = .5mv^2

The Attempt at a Solution

I know that I need to find the distance, so I solve the work equation so it looks like (mgh)/force = distance. However, this is where I'm stuck. What would I use for the height of the ramp? Also, what would I use for the acceleration (I currently have F = ma in the equation, so the masses cancel and what's left is (gh)/a)? Would I use gravity?

 

[LowlyPion]

Homework Statement

"A hot-wheels car of mass 0.0250 kg is traveling on a horizontal track with a velocity of 5.00m/s. If the track suddenly turns upward, how high up the track can the car travel?"

Homework Equations

work = mgh = force * distance
PEf + KEf = PEi + KEi
KE = .5mv^2

The Attempt at a Solution

I know that I need to find the distance, so I solve the work equation so it looks like (mgh)/force = distance. However, this is where I'm stuck. What would I use for the height of the ramp? Also, what would I use for the acceleration (I currently have F = ma in the equation, so the masses cancel and what's left is (gh)/a)? Would I use gravity?

I would suggest that you focus on the conversion of Kinetic energy to gravitational potential energy.

 

[smithers11]

Ahhh, i got it now. Thanks LowlyPion