Mass sliding down an inclined plane (True/False)

[FAJISTE]

**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?

 

[berkeman]

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

 

[FAJISTE]

Yup, last one was false. Thanks