PHY 201
Your 'cq_1_17.2' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
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SEED 17.2
A 5 kg cart rests on an incline which makes an angle of 30 degrees with the horizontal.
Sketch this situation with the incline rising as you move to the right and the cart on the incline. Include an x-y coordinate system with the origin
centered on the cart, with the x axis directed up and to the right in the direction parallel to the incline.
The gravitational force on the cart acts vertically downward, and therefore has nonzero components parallel and perpendicular to the incline.
Sketch the x and y components of the force, as estimate the magnitude of each component.
What angle does the gravitational force make with the positive x axis, as measured counterclockwise from the positive x axis? Which is greater in magnitude,
the x or the y component of the gravitational force?
answer/question/discussion:
It makes a 30 degree angle
The x component is greater in magnitude
cos(30) = .15
sin(30) = -.99
I suspect you have your calculator in radian mode rather than degree mode.
Using the definitions of the sine and cosine, find the components of the cart's weight parallel and perpendicular to the incline.
answer/question/discussion:
cos(30) = .15
sin(30) = -.99
Parallel = .15(5)(9.8) = 7.35 N
Vertical = -.99(5)(9.8) = -48.51 N
Those components wouldn't make sense in terms of a reasonable sketch. Your numbers might be the result of using the wrong mode in calculating the trig functions.
How much elastic or compressive force must the incline exert to support the cart, and what is the direction of this force?
answer/question/discussion:
The incline exerts 48.51 N against the cart and the cart exerts 48.51 N back.
If no other force is exerted parallel to the incline, what will be the cart's acceleration?
answer/question/discussion:
Fnet = 7.35 N
7.35 = 5a
a = 1.47 m/s/s
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20 min
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Everything looks good except your numbers; I think you've got a calculator error (wrong mode). See the link below; if you understand everything, as I expect you will, you don't need to submit a revision.
&#At least part of your solution does not agree with the solution and comments given at the link below. You should view the solution at that link and self-critique as indicated there.
Solution
This link also expands on these topics and alerts you to many of the common errors made by students in the first part of this course. &#