Please answer this although give step by step explanation! A toy car of mass m s

Question

Please answer this although give step by step explanation!

A toy car of mass m starts moving down the ramp having height of h. Neglect friction and find the final velocity of the car. Does it depend on the shape of the ramp? Use the total energy conservation law. E = Ek + Ep = const where E - total energy of the car Ek - kinetic energy of the car Ep - potential energy of the car in gravitation field of the Earth. Kinetic and potential energies can be expressed as where v - is the velocity of the car g - gravity acceleration

Explanation / Answer

Applying energy conservation

Potential energy at top= kinetic energy at bottom

mgh = 1/2 mv^2

v =sqrt(2gh)   (ANS)

And as ramp is frictionless ,it doesnt depends on the shape of ramp ,it only depends on drop in height (ans)

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