Question

Consider a roller coaster begins 15m above the ground. If the cart has a mass of 75kg, what is the velocity of the cart halfway to the ground?

Answer 1

v = 12.12 m/s

Step-by-step explanation:

Given that,

The mass of the cart, m = 75 kg

The roller coaster begins 15 m above the ground.

We need to find the velocity of the cart halfway to the ground. Let the velocity be v. Using the conservation of energy at this position, h = 15/2 = 7.5 m

`mgh=(1)/(2)mv^2\\\\v=√(2gh) \\\\v=√(2* 9.8* 7.5) \\\\v=12.12\ m/s`

So, the velocity of the cart is 12.12 m/s.