Incline plane problem - acceleration, time, and velocity

In summary, the conversation is discussing an inclined plane and determining the acceleration due to gravity parallel and perpendicular to the incline. The suggested answer is parallel=9.8sinθ and perpendicular=9.8cosθ. It is then clarified that the angle of the incline does not affect the acceleration. The distance the object travels and the time it takes to reach the bottom of the incline are also mentioned. A predictive statement is made about the path of dependence of accelerations due to gravity. It is stated that acceleration increases with increasing angle up to a maximum of 2 m/s^2 at 90°, and that the previous calculations may be incorrect.
  • #1
Schnitzel
2
0
Just need someone to check if this is right.

This question=frictionless, freefall, etc.

We have an incline plane. Determine the amount of acceleration due to gravity both parallel and perpendicular to the incline.
Would the answer be: parallel=9.8sinθ and perpendicular=9.8cosθ

Okay, let's say we have an inclined plane regardless of the angle, let's just make it 20 degree for instance.

The distance an object have to travel is 2m down the incline.


It would take the object 1.09 seconds to reach the bottom of the incline.

So based on this, the height above ground the object is currently at is sin20=h/2. h=.684 m.

1. The time it takes the object to drop vertically at the same height as the starting position of the object on the incline plane is comparably shorter than it would take the object to slide down the incline.

2. Both their final velocity are the same.

Make a predictive statement about the path of dependence of accelerations due to gravity.

Acceleration increases as the angle increase up to a maximum of 2 m/s^2 at 90°.
 
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  • #2
It looks to me that every part is, in some important way, incorrect.
 

FAQ: Incline plane problem - acceleration, time, and velocity

What is the incline plane problem?

The incline plane problem is a physics problem that involves a mass moving along an inclined plane, typically with the force of gravity acting upon it. The goal is to calculate the acceleration, time, and velocity of the mass as it moves down the incline.

How do I calculate acceleration in the incline plane problem?

To calculate acceleration in the incline plane problem, you will need to use the formula a = gsinθ, where a is the acceleration, g is the acceleration due to gravity (9.8 m/s^2), and θ is the angle of the incline. This formula assumes that there is no friction acting upon the mass.

What factors affect the acceleration in the incline plane problem?

The acceleration in the incline plane problem is affected by the angle of the incline, the mass of the object, and the force of gravity. Other factors such as friction can also affect the acceleration, but they are typically ignored in basic problems.

How do I calculate time in the incline plane problem?

To calculate time in the incline plane problem, you can use the formula t = √(2d/a), where t is the time, d is the distance traveled, and a is the acceleration. This formula assumes that the mass starts from rest at the top of the incline.

How do I calculate velocity in the incline plane problem?

To calculate velocity in the incline plane problem, you can use the formula v = √(2ad), where v is the velocity, a is the acceleration, and d is the distance traveled. This formula also assumes that the mass starts from rest at the top of the incline.

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