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Phy 241
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 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: ->->->->->->->->->->->-> :
The magnitude would be 5kg*9.8m/s^s=49N. The angle would be, according to the description, rising from left to right in the negative x and y (or 3rd) quadrant and horizontal. Rotating counterclockwise from the positive x-axis yields 240 degrees. The y or vertical component is greater.
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• 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: ->->->->->->->->->->->-> :
x=49Ncos(240)=-24.5
y=49Nsin(240)=-42.4
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• 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: ->->->->->->->->->->->-> :
Since the y-axis force is the one pushing down on the incline only that force will be opposed by the incline with a force equal and opposite the one pushing down on it, or 42.4N.
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• If no other force is exerted parallel to the incline, what will be the cart's acceleration?
answer/question/discussion: ->->->->->->->->->->->-> :
a=F/m=-24.5N/5kg=-4.9m/s^2
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&#Very good responses. Let me know if you have questions. &#