Question

A 120-kg roller coaster cart is being tested on a new track, and a crash-test dummy

is loaded into it. The roller coaster starts from rest at point A which is 25 m above
point B. If the track near to point B is in the shape of a circle with a radius of 15 m,
and the cart is moving at 22 m/s at point B, what centripetal acceleration does the
cart experience at that point?

Answer 1

32 m/s².

Step-by-step explanation:

From the question given above, the following data were obtained:

Mass (m) of cart = 120 Kg

Radius (r) = 15 m

Velocity (v) = 22 m/s

Centripetal acceleration (a) =?

The centripetal acceleration experienced by the cart can be obtained as illustrated below:

a = v²/r

a = 22² / 15

a = 484 / 15

a = 32.27 ≈ 32 m/s²

Thus, the centripetal acceleration experienced by the cart is approximately 32 m/s².