Solve Hot-Wheels Car Mass, Velocity for Height

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To determine how high a Hot Wheels car can travel on an upward track, the conversion of kinetic energy to gravitational potential energy is essential. The car's mass is 0.0250 kg and its initial velocity is 5.00 m/s, which allows for the calculation of its initial kinetic energy using the formula KE = 0.5mv². The potential energy at the height reached can be expressed as PE = mgh, where g is the acceleration due to gravity. By equating the initial kinetic energy to the potential energy at the maximum height, the height can be solved. The discussion emphasizes understanding energy conservation principles in physics.
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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?
 
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smithers11 said:

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.
 
Ahhh, i got it now. Thanks LowlyPion
 

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