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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A 5 kg cart rests on an incline which makes an angle of 30 degrees with the horizontal.
• Sketch this situation with the cart on the incline and the x axis 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.
answer/question/discussion:
• Using the definitions of the sine and cosine, find are the components of the cart's weight parallel and perpendicular to the incline.
answer/question/discussion:
Parallel:
Fp=(5kg) ( 9.8m/s^2) (sin 30) = 24.5 N
Perpendicular:
Fn = (5kg) (9.8m/s^2) (cos 30) = 42.4N
• 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 must exert a force equal to the parallel force of 42.4N in the direction upward and parallel to the incline against the cart.
• If no other force is exerted parallel to the incline, what will be the cart's acceleration?
answer/question/discussion:
F=ma therefore a = F/m
A = 42.4N/ 5kg = 4.9m/s^2
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45 minutes
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Your analysis is pretty good, but in the end you've mixed up the components.
&#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. &#