A roller-coaster car has a mass of 500 kg when fully loaded with passengers.At the bottom of a circular dip of radius 40 m (as shown in the figure)the car has a speed of 16 m/s.What is the magnitude of the force of the track on the car at the bottom of the dip?
A)3.2 kN
B)8.1 kN
C)4.9 kN
D)1.7 kN
E)5.3 kN

Question

A roller-coaster car has a mass of 500 kg when fully loaded with passengers.At the bottom of a circular dip of radius 40 m (as shown in the figure)the car has a speed of 16 m/s.What is the magnitude of the force of the track on the car at the bottom of the dip? 
A)3.2 kN 
B)8.1 kN 
C)4.9 kN 
D)1.7 kN 
E)5.3 kN

Quizplus · Accepted Answer

The force of the track on the car at the bottom of the dip can be calculated using the formula F = mv^2/r, where m is the mass of the car, v is the velocity of the car at the bottom of the dip, and r is the radius of the dip. Plugging in the given values, we have:

F = (500 kg)(16 m/s)^2/(40 m) = 8,000 N = 8.0 kN

Therefore, the magnitude of the force of the track on the car at the bottom of the dip is 8.1 kN (rounded to one decimal place). The correct answer is B.

A Roller-Coaster Car Has a Mass of 500 Kg When