---
title: "A robotic floor polisher of mass \\( M \\) moves across a horizontal gym floor at a constant speed \\( v \\). The motor of the robot must provide a constant power \\( P \\) to overcome the kinetic friction between the polishing pads and the floor. A technician places an additional weight on the robot such that its total mass becomes \\( 2M \\). If the robot now moves at a constant speed of \\( 2v \\) across the same floor, what is the new power output required from the motor?"
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url: "https://nerd-notes.com/ubq/110115/"
date_modified: "2026-03-27T05:26:54+00:00"
---

# A robotic floor polisher of mass \( M \) moves across a horizontal gym floor at a constant speed \( v \). The motor of the robot must provide a constant power \( P \) to overcome the kinetic friction between the polishing pads and the floor. A technician places an additional weight on the robot such that its total mass becomes \( 2M \). If the robot now moves at a constant speed of \( 2v \) across the same floor, what is the new power output required from the motor?

A robotic floor polisher of mass \( M \) moves across a horizontal gym floor at a constant speed \( v \). The motor of the robot must provide a constant power \( P \) to overcome the kinetic friction between the polishing pads and the floor. A technician places an additional weight on the robot such that its total mass becomes \( 2M \). If the robot now moves at a constant speed of \( 2v \) across the same floor, what is the new power output required from the motor?

![A rectangular robotic device labeled 'M' is shown moving to the right on a horizontal line representing the floor. A velocity vector 'v' points to the right. A small motor icon is visible inside the robot. A second part of the diagram shows two identical rectangular devices stacked (labeled 'M' and 'M'), moving to the right with a velocity vector labeled '2v'.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1774589214-Nlzehb.jpg)

- **A.** \( P \)
- **B.** \( 2P \)
- **C.** \( 4P \)
- **D.** \( 8P \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/110115/*