Mass sliding down an inclined plane (True/False)

AI Thread Summary
The discussion centers on the physics of a block sliding down an inclined plane, evaluating various statements about its motion. The acceleration of the block is indeed dependent on the angle of the incline, making that statement true. The normal force is not equal to the weight of the block, as it acts perpendicular to the surface, rendering that statement false. The frictional force must be less than the gravitational component acting down the plane, which is true, and halving the mass does not affect acceleration, also true. The final statement regarding the necessity of friction for acceleration is debated, with the conclusion that it is false if no friction is present.
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**Mass sliding down an inclined plane (True/False)

Homework Statement



A block of mass M is sliding down an inclined plane and is accelerating. Which of the following statements are true?
The acceleration of the block is dependent upon the angle of the inclined plane
The normal force of the plane is equal to the weight of the block
The frictional force must be less than the component of Mg down the plane
If the block's mass were halved, its acceleration would not change
The surface must have some friction because the block is accelerating

Homework Equations



F=ma
Fx=mgsinx
Fy=mgcosx

The Attempt at a Solution



1.True, depending on how high or low the angle is, the acceleration will change accordingly.
2. False, normal force is perpendicular, weight is straight down.
3. True, the weight is the hypotenuse of the triangle, which is always the largest.
4. True, the masses cancel out when you get your formula
5. True? Not to sure about this one. I say true because otherwise it would be constant velocity? It could be false. It probably is lol.

Am I right? Wrong?
 
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Think all are right, but maybe not the last one. What if there were NO friction for the last question...
 


Yup, last one was false. Thanks
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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