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9. Measure the length of the incline, L, whi and the resting point on the table.

ID: 776686 • Letter: 9

Question

9. Measure the length of the incline, L, whi and the resting point on the table. ch is the distance between the resting point of the ramp in the book nerleur the heijght. h, the height of the bookts). These last two mesurements will be angle of the incline. Raise the incline by placing a second book under the end. Adjust the books so same as the previous reading 11. that the distance, L, is the 12. Repeat Steps 5 -10 for the new incline. 13. Repeat Steps S -11 for 3,4, 5 and 6 books 14. Only for PHY2048 Repeat steps 1-13 for a ball Data Table One Carrito Down the Ramp Number of | Height of | Length of books, hincline, L sin -t trial 3 books trial 1 trial 2 (m/s) -m),n | incin el sir Acceleration (m/s) (m's? (m/s?) Analysis: Conv ,sINGnt( I. Calculate the average acceleration for each height 2.12 24 sing trigonometry and your values of L and h in the data table, calculate the sine of the incline angle for each height. Note that L is the hypotenuse of a right triangle Plot a graph of the average acceleration 0, axis) vs. sin(). Use either Page 3 of the experiment file or graph paper, Carry the sin() axis out to 1 (one) to leave room for extrapolation. 3, Draw a best-fit line by hand or use the linear fit feature of Logger Pro, and determine the slope. The slope can be used to determine the acceleration of the carrito on an incline of any angle 4. 5. On the graph, carry the fitted line out to sin(909)- 1 on the horizontal axis, and read the value of the 6. How well does the extrapolated value agree with the accepted value of free-fall acceleration (g 9.8 m/s)? 7. Discuss the validity of extrapolating the acceleration value to an angle of 90 Extension: acceleration. Notice that extrapolating to the y value at the point is equivalent to using the slope of the fitted line

Explanation / Answer

There is an error in the table. Sin value cannot be greater than 1. PROBABLY you have taken the distance between base to start of incline instead of the length of incline.

Sin of an angle is always less than 1 or at max equal to 1(90 degrees)

Kindly fill the sin theta column again.

Thank you