Question

Carter's favorite ride at playland amusement park is the rollercoaster. The roller coaster

car and passengers have a combined mass of 1620kg and they descend the first hill at
an angle of 45.0 degrees to the horizontal. With what force is the rollercoaster pulled
down the hill?

Answer 1

F = 11226.02 N

Step-by-step explanation:

The roller coaster car and passengers have a combined mass of 1620kg.

They descend the first hill at an angle of 45.0 degrees to the horizontal.

We need to find force is the rollercoaster pulled down the hill.

We firstly find the rectangular component of the downward. The force acting in the downward direction is mgsinθ such that,

F = mgsinθ

= 1620 × 9.8 × sin(45)

= 11226.02 N

So, the roller coaster is pulled down the hill with a force of 11226.02 N.