UNIVERSITY OF JOHANNESBURG DEPARTMENT OF PHYSICS PRACTICAL TEST FOR PHYG1A1/L1A1 AND PHYE0A1 QUESTION PAPER X (4pgs) , DURATION OF TEST : 90 mins STUDENT NUMBER _______________________________ Date : _______________ SURNAME AND INITIALS ________________________________________ Instructions : Answer all questions. Write the answers onto this question paper, and the paper should be handed in at the end. 30 marks or more = 100 % QUESTION-1 What is the reading on each of the precision measuring scales below ? Give a brief indication of the procedure you followed to obtained the final value ( i.e., briefly mention how you used the main scale and vernier scale to obtain the final reading ). (a) (b) [6] 1 QUESTION-2 The length of a rectangular block of wood is 100.0 mm with an estimated error of 0.5 mm. For the same block of wood you find the width to be 50.0 ± 0.5 mm and the thickness to be 20.0 mm ± 0.2 mm. Calculate the volume of the block in m3, find the relative error in the volume as a percentage, and determine the absolute error in the volume in m 3 and mm3. [6] QUESTION-3 In each of the following examples you should rearrange the equation so that you can plot a straight-line graph, explain (and sketch) what you would plot on the x- and y-axes, and how you would determine the unknown quantities from the graph. (a) z (b) p = a b + t t2 z, t measured values ; a , b unknown. = k vγ p, v measured values ; k , γ unknown. [6] 2 QUESTION-4 The data in the table below were obtained in the laboratory for distance moved x in time t. The expected relationship between these quantities is x = v0 t + 12 at 2 , where initial velocity v0 and acceleration a are constants. Linearize this equation, complete the columns in the table and then plot a graph to obtain v0 and a using the linearized equation. Put the best and a worst straight line through the data, and determine the slopes and intercepts. From these results estimate v0 and a and their absolute errors. x (m) 0.100 0.200 0.300 0.400 0.500 t (s) 3.8 6.5 8.7 10.9 12.4 [14] 3 Question 4 contin … STUDENT NUMBER _______________________________ Date : _______________ SURNAME AND INITIALS ________________________________________ 4