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horizontal force, F1 = 75 N, and a force, F2 = 12.5 N acting at an angle of θ to the horizontal, are applied to a block of mass m = 2.1 kg. The coefficient of kinetic friction between the block and the surface is μk = 0.2. The block is moving to the right. Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. Solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°.

horizontal force, F1 = 75 N, and a force, F2 = 12.5 N acting at an angle of θ to the horizontal, are applied to a block of mass m = 2.1 kg. The coefficient of kinetic friction between the block and the surface is μk = 0.2. The block is moving to the right. Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. Solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°.

College Physics
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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A horizontal force, F1 = 75 N, and a force, F2 = 12.5 N acting at an angle of θ to the horizontal, are applied to a block of mass m = 2.1 kg. The coefficient of kinetic friction between the block and the surface is μk = 0.2. The block is moving to the right.

Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. 

Solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°. 

 

The image illustrates a block on a flat surface subjected to multiple forces. The block is represented as a square with the mass labeled "m." There are three forces acting on the block: 1. **Applied Force (F)**: An arrow pointing to the right indicates an external force applied horizontally to the block. 2. **Frictional Force (fr)**: An arrow pointing to the left represents the frictional force exerted by the surface, opposing the direction of the applied force. 3. **Normal Force (N)** and **Gravitational Force (mg)**: - **Normal Force (N)**: An arrow pointing upwards from the block indicates the normal force, which is the force exerted by the surface perpendicularly to support the block against gravity. - **Gravitational Force (mg)**: An arrow pointing downwards represents the weight of the block, which is the gravitational force acting on it. The image is a simple diagram showing the equilibrium of forces acting on an object on a horizontal surface, commonly used in physics to explain concepts like friction, Newton’s laws of motion, and force balance.
Transcribed Image Text:The image illustrates a block on a flat surface subjected to multiple forces. The block is represented as a square with the mass labeled "m." There are three forces acting on the block: 1. **Applied Force (F)**: An arrow pointing to the right indicates an external force applied horizontally to the block. 2. **Frictional Force (fr)**: An arrow pointing to the left represents the frictional force exerted by the surface, opposing the direction of the applied force. 3. **Normal Force (N)** and **Gravitational Force (mg)**: - **Normal Force (N)**: An arrow pointing upwards from the block indicates the normal force, which is the force exerted by the surface perpendicularly to support the block against gravity. - **Gravitational Force (mg)**: An arrow pointing downwards represents the weight of the block, which is the gravitational force acting on it. The image is a simple diagram showing the equilibrium of forces acting on an object on a horizontal surface, commonly used in physics to explain concepts like friction, Newton’s laws of motion, and force balance.
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