Question Detail

PHY 101 PHY 101 Past Questions Objective Question

Question

A hot wheels track has a vertical loop with a radius 20 cm. What is the minimum speed the car can have at the highest point without falling off the track?
Options
A 1.58 m/s
B 8.4 m/s
C 1.4 m/s
Correct Answer
D 3.2 m/s
Correct Answer

Option C is the correct answer.

Detailed Explanation

At the highest point, the minimum speed to just maintain contact is when the centripetal force is provided entirely by gravity: mg = mv²/r => v = √(gr). r = 0.2 m, g = 9.8 m/s², v = √(9.8 × 0.2) = √1.96 = 1.4 m/s.

Hint

At the top of the loop, the minimum speed is √(gr).

Question Info