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thanks,Orodruin said:What is your question?
Also, be advised that simply posting images of your work and of the problem is not compatible with the Homework guidelines of Physics Forums. Please type out the problem statement and your solution attempt in the future.
It is close enough to one of the answers to suspect that you (or the authors) have a rounding error somewhere.Fatima Hasan said:but question is that my answer is not an exact of choice C. so is my answer right?
Really the formulas here are so simple that you should have no problem typing them out. If you click the Σ symbol you also have a choice of different useful symbols for writing maths. You do not need to use LaTeX for formulas that are this simple.Fatima Hasan said:sorry but my skills are not good to write math formula
By writing ##F = mg \sin(\theta) + F_s##, you are essentially writing "forces to the right = forces to the left". It is kind of artificially taking care of the signs by specifying all forces as positive and then placing them on the appropriate side of the equation. If I did not enter it wrong in Matlab, 16.9 N is the correct rounding of the answer, not 16.8 N.TSny said:Hello.
I believe your final answer is correct. But it looks like you might have gotten lucky by having two compensating errors. Think about the direction of the friction force when the applied force is a minimum.
Some instructors like to use 37o in problems since the cosine and sine of this angle are very close to 4/5 = 0.80 and 3/5 = 0.60, respectively. (A "3 -4 -5" right triangle will have its smaller interior angle close to 37o.)Fatima Hasan said:thanks,
but question is that my answer is not an exact of choice C. so is my answer right?
Yes.Orodruin said:Textbook authors should know better than to use more decimals than their precision allows.
Orodruin said:It is close enough to one of the answers to suspect thatyou (orthe authors)have a rounding error somewhere.
Newton's Law: block and incline is a physical principle that explains the relationship between the force applied on an object and its resulting motion when the object is placed on an inclined plane.
The three laws of motion that make up Newton's Law: block and incline are:
When an object is placed on an inclined plane, the force of gravity pulling the object downwards can be broken down into two components: a force parallel to the plane and a force perpendicular to the plane. According to Newton's Second Law, the acceleration of the object will be in the direction of the net force, which in this case is the parallel force. This results in the object moving down the incline with a constant acceleration.
The factors that affect the motion of an object on an inclined plane according to Newton's Law: block and incline are the angle of the incline, the mass of the object, and the force applied on the object. As the angle of the incline increases, the parallel force component increases, resulting in a greater acceleration. The mass of the object also affects the acceleration, with a larger mass requiring a greater force to achieve the same acceleration. Lastly, the force applied on the object can be adjusted to change the resulting motion.
Newton's Law: block and incline is used in various real-world applications, such as ramps and inclined planes used for loading and unloading heavy objects, wheelchair ramps, and roller coasters. It also plays a crucial role in understanding the motion of objects on sloped surfaces, such as hills and mountains.