Physics-dynamics question with incline?

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In summary, a wet bar of soap weighing 150 grams slides without friction down a 2.0 meter long ramp inclined at 7.3 degrees. Using the equation Fnet = ma, the time it takes for the soap to reach the bottom is calculated to be 1.8 seconds. However, after realizing the calculator was in radian mode, the correct answer is found to be 0.2 seconds. If the soap's mass were 250 grams, the time it takes to reach the bottom would be 0.2 seconds as well.
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shocklightnin
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No matter how many times i do it, i seem to be doing something wrong :|

Homework Statement


A wet bar of soap (150 g) slides without friction down a ramp (2.0 m) long inclined at 7.3degrees. How long does it take to reach the bottom? Neglect friction.
& How would this change if the soaps mass were 250 grams?

Homework Equations



stated below>>

The Attempt at a Solution


So i tried to calculate Fnet using sine.
since Fg=1.5kg*9.8=14.7N
Then i did, sin7.3=x(aka fnet) / 14.7
x = 12.5

Then: Fnet = ma
12.5=0.15a
a=83.3

then
d=vit+1/2at^2
2=0+1/2(83.3)t^2
2/(1/2*83.3)=t^2
Suqareroot(0.048)=t
t=0.219 or around there.

However the answer is 1.8 seconds?
Can anyone help me see what I am going wrong?

Any help is much appreciated, thanks.


EDIT:::
Sorry, nevermind, turns out my calc was in radian mode -facepalm- Good grief.
 
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For the second part, if the mass is 250g, then:Fnet=ma12.5=0.25aa=502=0+1/2(50)t^22/(1/2*50)=t^2Squareroot(0.04)=tt=0.2 (or around there)So it would take 0.2 seconds to reach the bottom.
 

FAQ: Physics-dynamics question with incline?

How do you calculate the force of gravity in a physics-dynamics question with an incline?

In order to calculate the force of gravity in a physics-dynamics question with an incline, you will need to use the equation Fg = m x g x cosθ, where Fg is the force of gravity, m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of the incline.

What is the difference between static and kinetic friction in a physics-dynamics question with an incline?

In a physics-dynamics question with an incline, static friction refers to the force that keeps an object from sliding down the incline. Kinetic friction, on the other hand, refers to the force that acts against the motion of an object that is already sliding down the incline.

3. How does the angle of the incline affect the acceleration of an object in a physics-dynamics question?

The angle of the incline can affect the acceleration of an object in a physics-dynamics question by changing the component of the force of gravity that acts parallel to the incline. The steeper the incline, the greater the component of the force of gravity, and therefore the greater the acceleration of the object.

4. Can you use the equations of motion to solve for the velocity of an object in a physics-dynamics question with an incline?

Yes, you can use the equations of motion to solve for the velocity of an object in a physics-dynamics question with an incline. However, you will need to take into account the acceleration due to gravity acting parallel to the incline in addition to any other forces that may be present.

5. How can you determine the angle of an incline in a physics-dynamics question?

The angle of an incline can be determined by using a protractor or by measuring the height and length of the incline and using trigonometric functions to calculate the angle. In some cases, the angle may also be given in the problem statement.

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