Answers below in the second screenshot **Problem:**A car goes around a curve of a radius \( r \) at a constant speed \( v \). Then it goes around the same curve at half of the original speed. Which of the following correctly identifies the change in force and the reason for it to occur?**Options:**1) The centripetal force increases by a factor of 2 because velocity and force are directly proportional when an object is traveling along a circular path.2) The centripetal force decreases by a factor of 4 because velocity and force have a proportional, but squared, relationship when an object is traveling along a circular path.3) The centripetal force increases by a factor of 1/2 because velocity and force have a proportional, but squared, relationship when an object is traveling along a circular path.4) The centripetal force decreases by a factor of 1/4 because velocity and force have a proportional, but squared, relationship when an object is traveling along a circular path.

The centripetal force acting on an object moving in the circular path is given by the below formula as F =mv2/r m is the mass of the object v is the speed of object r is the radius of circular If the object moves in same curve at half of the original speed, v' = v/2 New centripetal force is then given by F' = m v'2/r Put v' = v/2 So F' = 1/4 × m v2/r F'= F/4 , the new centripetal force becomes one fourth of the original forceOption 4 correct answers 4) The centripetal force decrease by a factor of 1/4 because velocity and force have a proportional but squared relationship when an object is traveling along a circular path.

Science

Physics

car goes around a curve of a radius r at a constant speed v. Then it goes around the same curve half of the original speed. Which of the following correctly identifies the change in force and the ason for it to occur? The centripetal force increase by a factor of 2 because velocity and force are directly )1) proportional when an object is traveling along a circular path. The centripetal force decrease by a factor of 4 because velocity and force have a 2) proportional ,but squared relationship when an object is traveling along a circular path. D3) proportional ,but squared relationship when an object The centripetal force increase by a factor of 1/2 because velocity and force have a traveling along a circular path. The centripetal force decrease by a factor of 1/4 because velocity and force have a 4) proportional ,but squared relationship when an object is traveling along a circular path.

car goes around a curve of a radius r at a constant speed v. Then it goes around the same curve half of the original speed. Which of the following correctly identifies the change in force and the ason for it to occur? The centripetal force increase by a factor of 2 because velocity and force are directly )1) proportional when an object is traveling along a circular path. The centripetal force decrease by a factor of 4 because velocity and force have a 2) proportional ,but squared relationship when an object is traveling along a circular path. D3) proportional ,but squared relationship when an object The centripetal force increase by a factor of 1/2 because velocity and force have a traveling along a circular path. The centripetal force decrease by a factor of 1/4 because velocity and force have a 4) proportional ,but squared relationship when an object is traveling along a circular path.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

Answers below in the second screenshot

**Problem:**

A car goes around a curve of a radius \( r \) at a constant speed \( v \). Then it goes around the same curve at half of the original speed. Which of the following correctly identifies the change in force and the reason for it to occur?

**Options:**

1) The centripetal force increases by a factor of 2 because velocity and force are directly proportional when an object is traveling along a circular path.

2) The centripetal force decreases by a factor of 4 because velocity and force have a proportional, but squared, relationship when an object is traveling along a circular path.

3) The centripetal force increases by a factor of 1/2 because velocity and force have a proportional, but squared, relationship when an object is traveling along a circular path.

4) The centripetal force decreases by a factor of 1/4 because velocity and force have a proportional, but squared, relationship when an object is traveling along a circular path.

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