---
title: "A shipping crate of mass \\(m\\) is sliding down a rough ramp inclined at an angle \\(\\theta\\) above the horizontal. The crate is accelerating down the ramp, and the coefficient of kinetic friction between the crate and the ramp is \\(\\mu_k\\). A free-body diagram for the crate is provided. If the ramp is tilted so that the angle \\(\\theta\\) increases but the crate remains in contact with the ramp, which of the following correctly describes and justifies the change in the magnitude of the crate’s acceleration?"
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url: "https://nerd-notes.com/ubq/109464/"
date_modified: "2026-04-10T09:39:51+00:00"
---

# A shipping crate of mass \(m\) is sliding down a rough ramp inclined at an angle \(\theta\) above the horizontal. The crate is accelerating down the ramp, and the coefficient of kinetic friction between the crate and the ramp is \(\mu_k\). A free-body diagram for the crate is provided. If the ramp is tilted so that the angle \(\theta\) increases but the crate remains in contact with the ramp, which of the following correctly describes and justifies the change in the magnitude of the crate’s acceleration?

A shipping crate of mass \(m\) is sliding down a rough ramp inclined at an angle \(\theta\) above the horizontal. The crate is accelerating down the ramp, and the coefficient of kinetic friction between the crate and the ramp is \(\mu_k\). A free-body diagram for the crate is provided. If the ramp is tilted so that the angle \(\theta\) increases but the crate remains in contact with the ramp, which of the following correctly describes and justifies the change in the magnitude of the crate's acceleration?

![A rectangular crate on an incline that makes an angle theta with the horizontal ground. Three force vectors originate from the center of the crate. A vector labeled F_g points vertically downward toward the bottom of the frame. A vector labeled F_N points perpendicular to the incline surface, directed away from the ramp. A vector labeled f_k points up the incline, parallel to the surface, opposing the downward motion of the crate. The angle theta is labeled between the horizontal floor and the inclined ramp surface.](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/ubq-frq-generatedstem-fbd-1-1775813991-pTKUBI.jpg)

- **A.** The acceleration increases because the component of the gravitational force parallel to the ramp surface increases and the magnitude of the kinetic friction force decreases.
- **B.** The acceleration increases because the magnitude of the normal force exerted by the ramp increases, resulting in a larger net force on the crate in the direction of motion.
- **C.** The acceleration decreases because the magnitude of the normal force exerted by the ramp decreases, and the normal force is the primary force pushing the crate down the ramp.
- **D.** The acceleration stays the same because the coefficient of kinetic friction is a constant property of the crate and ramp materials and the mass of the crate does not change.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109464/*