---
title: "A uniform bowling ball is launched along a rough, horizontal lane with an initial forward center-of-mass velocity \\(v_0\\) and an initial backspin of angular speed \\(\\omega_0\\). Kinetic friction acts between the ball and the lane until the ball achieves pure rolling motion without slipping. During this slipping interval, which of the following statements correctly describes the total angular momentum of the ball about a fixed point \\(P\\) on the lane surface, and provides the correct justification?"
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url: "https://nerd-notes.com/ubq/120912/"
date_modified: "2026-08-23T04:44:14+00:00"
---

# A uniform bowling ball is launched along a rough, horizontal lane with an initial forward center-of-mass velocity \(v_0\) and an initial backspin of angular speed \(\omega_0\). Kinetic friction acts between the ball and the lane until the ball achieves pure rolling motion without slipping. During this slipping interval, which of the following statements correctly describes the total angular momentum of the ball about a fixed point \(P\) on the lane surface, and provides the correct justification?

A uniform bowling ball is launched along a rough, horizontal lane with an initial forward center-of-mass velocity \(v_0\) and an initial backspin of angular speed \(\omega_0\). Kinetic friction acts between the ball and the lane until the ball achieves pure rolling motion without slipping. During this slipping interval, which of the following statements correctly describes the total angular momentum of the ball about a fixed point \(P\) on the lane surface, and provides the correct justification?

![A grayscale diagram showing a sphere of radius R resting on a horizontal flat surface. A small black dot at the center of the sphere has a horizontal arrow pointing to the right labeled v_0. A curved counterclockwise arrow above the sphere is labeled \omega_0. A horizontal line represents the lane surface, touching the bottom of the sphere. On the lane surface to the left of the sphere, a small dot is labeled point P. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787460254-3iVxo0.jpg)

- **A.** The total angular momentum decreases because kinetic friction exerts an external torque about point \(P\) that opposes the forward translational motion of the ball.
- **B.** The total angular momentum decreases because nonconservative kinetic friction does negative net work on the ball, reducing the total mechanical energy of the system.
- **C.** The total angular momentum increases because the torque from kinetic friction about the center of mass causes the angular velocity to increase in the forward rolling direction.
- **D.** The total angular momentum remains constant because the line of action of the friction force passes through point \(P\) and the vertical forces exert balanced torques about point \(P\).

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120912/*