# Mass sliding down an inclined plane (True/False)

• FAJISTE
In summary, the acceleration of a block sliding down an inclined plane is dependent on the angle of the plane and the frictional force, if present, would be less than the component of the block's weight down the plane. The normal force of the plane is not equal to the weight of the block and if the block's mass were halved, its acceleration would remain the same. The presence of friction is necessary for the block to accelerate down the plane.
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

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?

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

## 1. Is it true that the mass of an object affects its speed when sliding down an inclined plane?

Yes, it is true. The greater the mass of the object, the slower its speed will be when sliding down an inclined plane. This is due to the force of gravity being countered by the object's weight, which increases with mass.

## 2. Does the angle of the incline affect the speed of the mass?

Yes, it does. The steeper the angle of the incline, the faster the mass will slide down. This is because the force of gravity is acting more directly on the object when the incline is steeper.

## 3. Is it possible for a mass to slide down an inclined plane without any force acting on it?

No, it is not possible. In order for the mass to slide down the inclined plane, there must be some force acting on it, such as gravity or an applied force.

## 4. Will the mass always slide down an inclined plane at a constant speed?

No, the speed of the mass will change depending on the angle of the incline, the mass of the object, and any other forces acting on it. It may speed up or slow down during its descent.

## 5. Does the surface of the inclined plane affect the speed of the mass?

Yes, it does. A smoother surface will result in less friction, allowing the mass to slide down at a faster speed. A rougher surface will increase friction and slow down the mass's descent.

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