### Problem DescriptionA 10.0 kg block is being pushed up a 30-degree incline by a horizontal force **F** with a magnitude of 264.0 N. The coefficient of kinetic friction between the block and the incline is 0.60. Calculate the acceleration of the block. Provide the answer in meters per second squared (m/s²).### Diagram Explanation- The diagram shows an inclined plane with a 30-degree angle.- On the incline, there is a block weighing 10 kg.- A horizontal force **F** is applied to the block, represented by an arrow pointing to the right with a magnitude of 264.0 N.### CalculationsUse the given information and physics principles to solve for the block's acceleration. Consider forces parallel and perpendicular to the incline, including gravitational force, applied force, normal force, and frictional force.

Given that:Mass m=10.0 kgForce F=264.0 NCoefficient of kinetic friction, μ=0.60

Answered: F. 10 kg | 30° m/s?

Science

Physics

F. 10 kg | 30° m/s?

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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Question

### Problem Description

A 10.0 kg block is being pushed up a 30-degree incline by a horizontal force **F** with a magnitude of 264.0 N. The coefficient of kinetic friction between the block and the incline is 0.60. Calculate the acceleration of the block. Provide the answer in meters per second squared (m/s²).

### Diagram Explanation

- The diagram shows an inclined plane with a 30-degree angle.
- On the incline, there is a block weighing 10 kg.
- A horizontal force **F** is applied to the block, represented by an arrow pointing to the right with a magnitude of 264.0 N.

### Calculations

Use the given information and physics principles to solve for the block's acceleration. Consider forces parallel and perpendicular to the incline, including gravitational force, applied force, normal force, and frictional force.

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