Learning Path
Question & Answer1
Understand Question2
Review Options3
Learn Explanation4
Explore TopicChoose the Best Answer
A
7 N
B
10 N
C
20 N
D
5 N
Understanding the Answer
Let's break down why this is correct
Answer
The normal force on the block is the component of its weight perpendicular to the ramp: \(N = mg\cos30^\circ\). With \(m = 5\,\text{kg}\) and \(g = 9. 8\,\text{m/s}^2\), \(N = 5 \times 9. 8 \times 0. 866 \approx 42.
Detailed Explanation
The maximum static friction can only be as large as the product of the coefficient of static friction and the normal force. Other options are incorrect because This answer assumes the static friction could equal the entire parallel component of gravity, but friction can only reach the product of the coefficient and the normal force; Here the mistake is adding the normal and parallel forces together.
Key Concepts
Angle of Inclination
Normal Force
Topic
Friction Behavior Demonstration
Difficulty
medium level question
Cognitive Level
understand
Practice Similar Questions
Test your understanding with related questions
1
Question 1An object with a mass of 10 kg is resting on a ramp inclined at 30 degrees. If the coefficient of static friction between the object and the ramp is 0.5, what is the maximum static frictional force that can act on the object before it begins to slide down the ramp?
hardPhysics
Practice
2
Question 2If a block weighing 20 kg is placed on a 45-degree incline, and the coefficient of static friction between the block and the incline is 0.6, what is the maximum angle at which the block can remain at rest without sliding down?
mediumPhysics
Practice
3
Question 3A block of metal is placed on an inclined plane with a surface roughness that is significantly higher than that of the plane's opposing surface. If the angle of incline is 30 degrees, what effect does this combination of surface roughness and angle have on the maximum static friction experienced by the block?
hardPhysics
Practice
4
Question 4A 15 kg box is resting on a ramp inclined at 40 degrees. If the coefficient of static friction between the box and the ramp is 0.5, what is the maximum angle of inclination at which the box can remain at rest without sliding down?
hardPhysics
Practice
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