A police officer in hot pursuit drives her car through a...

Name: Problem 46, Chapter 6: Principles of Physics
Uploaded: 2022-03-19T12:22:08-08:00
Duration: 5 min 10 s
Channel: Sandeep Kumar Dhania
Description: A police officer in hot pursuit drives her car through a circular turn of radius 300 m with a constant speed of 75.0 km/h. Her mass is 55.0 kg.What are (a) the magnitude and (b) the angle (relative to vertical) of the net force of the officer on the car seat? (Hint: Consider both horizontal and vertical forces.)

A police officer in hot pursuit drives her car through a circular turn of radius 300 m with a constant speed of 75.0 km/h. Her mass is 55.0 kg.What are (a) the magnitude and (b) the angle (relative to vertical) of the net force of the officer on the car seat? (Hint: Consider both horizontal and vertical forces.)

A police officer in hot pursuit drives her car through a circular
turn of radius 300 m with a constant speed of 75.0 km/h. Her mass is
55.0 kg.What are (a) the magnitude and (b) the angle (relative to vertical) of the net force of the officer on the car seat? (Hint: Consider
both horizontal and vertical forces.)

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Circular Motion

Circular motion refers to the motion of an object along the circumference of a circle. In such motion, even when the speed remains constant, the direction of the velocity vector changes continuously, implying an acceleration. This acceleration, known as centripetal acceleration, always points toward the center of the circle, keeping the object in its curved path.

Centripetal Force

Centripetal force is the net force required to provide the centripetal acceleration for circular motion. It is given by the formula F = m(v²/r), where m is the mass of the object, v is the speed, and r is the radius of the circular path. This force is directed horizontally towards the center of the circle in the context of banked or turning vehicles.

Force Decomposition

Force decomposition involves breaking down a force into components along mutually perpendicular axes, often horizontal and vertical. In problems that mix different directions of acceleration—such as vertical forces from gravity and horizontal forces needed for centripetal acceleration—it is crucial to resolve these forces into their components and then use vector addition to determine the net force's magnitude and direction. This analysis is central when determining angles relative to a reference direction, like the vertical.

Transcript

Please give Ace some feedback