An amusement park ride consists of a car moving in a vertical circle on the end of a rigid boom of negligible mass. The combined weight of the car and riders is $5.0 kN$ , and the circle’s radius is $10 m$ . At the top of the circle, what are the
(a) magnitude and
(b) direction (up or down) of the force on the car from the boom if the car’s speed is $v = 5.0 m / s$ ?
What are (c) $F_{B}$ and
(d) the direction if $v = 12 m / s$ ?

Question

An amusement park ride consists of a car moving in a vertical circle on the end of a rigid boom of negligible mass. The combined weight of the car and riders is $5.0 kN$ , and the circle’s radius is $10 m$ . At the top of the circle, what are the
(a) magnitude and
(b) direction (up or down) of the force on the car from the boom if the car’s speed is $v = 5.0 m / s$ ?
What are (c) $F_{B}$ and
(d) the direction if $v = 12 m / s$ ?

Accepted Answer

The magnitude of the force on the car is $3.7 \times 10^{3} N$ .
The direction of the force is upward.
The magnitude of $F_{B}$ is $2.3 \times 10^{3} N$ .
The direction of $F_{B}$ is downward.

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Step by Step Solution

Step 1: Given data

Step 2: To understand the concept

Step 3: (a) To calculate the magnitude and direction of the force on the car from the boom if the car’s speed is v = 5.0 m/s

Step 4: (b) To calculate the magnitude and direction of the force on the car from the boom if the car’s speed is v = 5.0 m/s

Step 5: (c), (d) To calculate the magnitude of the force on the car from the boom if the car’s speed is v = 12 m/s

Step 6: (d) To calculate the direction of the force on the car from the boom if the car’s speed is v = 12 m/s

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Fundamentals Of Physics

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Short Answer

Step by Step Solution

Step 1: Given data

Step 2: To understand the concept

Step 3: (a) To calculate the magnitude and direction of the force on the car from the boom if the car’s speed is v = 5.0 m/s

Step 4: (b) To calculate the magnitude and direction of the force on the car from the boom if the car’s speed is v = 5.0 m/s

Step 5: (c), (d) To calculate the magnitude of the force on the car from the boom if the car’s speed is v = 12 m/s

Step 6: (d) To calculate the direction of the force on the car from the boom if the car’s speed is v = 12 m/s

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