A 45.00 kg person in a 43.00 kg cart is coasting with a speed of 19 m/s before it goes up a hill. Assuming there is no friction, what is the maximum vertical height the person in the cart can reach?

the maximum vertical height the person in the cart can reach is 18.42 m

Explanation:

Given;

mass of the person, m₁ = 45 kg

mass of the cart, m₂ = 43 kg

velocity of the system, v = 19 m/s

let the maximum vertical height reached = h

Apply the principle of conservation mechanical energy;

Therefore, the maximum vertical height the person in the cart can reach is 18.42 m