Question

. A roller coaster must do work raising its cars to the highest point on the ride.
From there, the cars coast at varying speed until they return to the starting
point. Suppose a loaded roller coaster car must be pulled 3.00 × 102
m from
the ride’s starting point to the top of the first rise. If 2.13 × 106
J of work must
be done on the car during this stage of the ride, how large is the force exerted
on the car by the raising mechanism?

Answer 1

The force exerted on the car by the raising mechanism is 7,100 N.

The given parameters:

• Displacement of the roller coaster, d = 300 m
• Work done in pulling the roller coaster, W = 2.13 x 10⁶J

The force exerted on the car by the raising mechanism is calculated as follows;

$W = Fd\\\\F = \frac{W}{d} \\\\F = \frac{2.13 \times 10^6}{300} \\\\F = 7,100 \ N$

Thus, the force exerted on the car by the raising mechanism is 7,100 N.

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