Question

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?

Answer 1

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

Step-by-step 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;

`P.E = K.E\\\\mgh_(max) = (1)/(2) mv^2_(max)\\\\gh_(max) = (1)/(2) v^2_(max)\\\\h_(max) = (v_(max)^2)/(2g) \\\\h_(max) = (19^2)/(2* 9.8) \\\\h_(max) = 18.42 \ m`

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