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An object subject to n constant acceleration, (1, travels a distance 5 in n time I according to the equation of motion: 3 =1y0t+gat2 (I)

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An object subject to n constant acceleration, (1, travels a distance 5 in n time I according to the equation of motion: 3 =1y0t+gat2 (I) where 120 is the initial velocity. lithe object starts from rest (v0 = 0) 0\" '1 frictionless plane inclined at an angle 9, then it must accelerate down the plane under the force of gravnty. Question 3 Draw the force vectors acting on the block at the top of the plane. Question 4 Using the free body diagram you made for question 3, find the acceleration of the object, and rewrite equation 1, taking into account the angle of the plane: 8 = - (2) Question 5 By measuring the time t it takes an object to slide down an incline a. known distance 3, one can make use of equation 2 in order to nd the angle of inclination. First, rearrange equation 2 to solve for 2: t2 = . (3) This should give you a linear equation. The uncertainty in t2 is given by: 0'12 = 2 t 0;. (4') By plotting 122 versus 8, you will get a line with slope m :i: am where m 2 gsin0 (5) An experimental estimate of 0 can then be obtained from isolating sin9 in equation 5 to get: . 2 51110 E; (6) where the experimental uncertainty is given by: UsinO = ' (7) 60

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