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# Copy of Acceleration and Mass On an Inclined Plain

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by on 21 November 2013

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#### Transcript of Copy of Acceleration and Mass On an Inclined Plain

The Proportionality of Acceleration and Mass On An Inclined Plane
Materials
1. 5 Weights- 20g
2. Inclined ramp
3. 4 science textbooks
4. A stand
5. Photogate recorder
6. Cart
7. Computer
8. Logger Pro

Findings
We found that when mass was added to the cart the acceleration increased at a very minuscule rate. We concluded that this increase was due to the small affect of friction on the incline, and if it was theoretically frictionless then the acceleration would be constant.
Analysis
Hypothesis
If the angle of the incline plane is kept constant as the mass changes and friction can be ignored, then acceleration will be kept constant.
Data
Diagrams
Videos

Table
According to our data, the acceleration slightly increased when more masses where added to the cart. The reason this happens is because the FOG of and the Normal Force act in the cart pulling it toward the bottom of the ramp so the two forces can be in equilibrium. Based in the equation a=m(gsinΘ)/m, mass should not affect the acceleration. The reason that the mass slightly affected the acceleration in our experiment was due to friction. Friction affected the acceleration in our experiment because friction is affected by mass. Acceleration on an incline plane is like free fall in the sense that in most cases of an incline plane you do not have to worry about friction, therefore the acceleration is always the same. The reason that friction was a factor in our experiment was because the cart had wheels, which play into the amounts of friction.
This diagram is showing an object that is sliding down an incline plane and every for e acting on it. Part of the force of gravity is coming from the center of the block and going straight down to the center of the earth. The Norma force/ support force is perpendicular to the surface and comes from the incline plane. These two forces are not in equilibrium, and this causes the FOG to split into two parts.. The first one from the box, and the other is the Parallel FOG which is the non-zero net force that wants the block to reach the ground. If this force is strong enough, , and it overcomes static fiction then it will move,. Also, if the FOG and Normal force are in equilibrium then it will stay in place.

Pictures
Calculations
Graph
From our raw data we found that acceleration increased a little bit as mass increased. Our graph shows a slow exponential increase, which shows acceleration didn't change that drastically.
The numbers for the y-axis
went up very slightly, as the mass in kg went up.
We found the accpeted vaule using the equation a=9.8sin14(14 is the angle we kept constant)
Percent error=(accepted value- experimental value Percent error=[(accepted value – experimental value)/accepted value]*100
*we found the accepted value using the equation a=9.8sin14; 9.8 being the force of gravity, and 14 being the degree of our incline plane.

Percent error=[(accepted value – experimental value)/accepted value]*100
*we found the accepted value using the equation a=9.8sin14; 9.8 being the force of gravity, and 14 being the degree of our incline plane.

Trial 1- 2.37-1.342/2.37X100= 43.4%

Trial 2- 2.37-1.471/2.37x100= 37.9%

Trial 3- 2.37-1.667/2.37x100= 29.7%

Trial 4- 2.37-2.409/2.37x100= 1.65%

Trial 5- 2.37- 2.877/2.37x100= 21.39%

Percent Error
THANK YOU
We would to thank Ishiaka Mansary for all his help in helping us understand the experiment.

Accepted Acceleration.
a= Fnet/m
a= mg(sin)θ/m
a= g(sin) θ
g= 9.8m/s^2
θ= 14º
a= 9.8(sin) 14
a= 2.37
This is the accepted acceleration equation. As you can see, mass is canceled out, and the acceleration is due to gravity and the angle at which the inclined plane is set. The theta sign is the angle that we kept constant and sin is a part of trig. These will always be the same for every object when the surface area is kept constant and friction can be ignored.

These videos are examples of the cart going down the ramp with a varying mass. As you can see the acceleration is quite the same.
Angle that was kept constant.
Spenser Meek and Isabel Stoddard
Ramp that was recorder by
logger pro
Logger Pro system
This is the whole system.
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