GRAPH QUESTIONS PSPM I 005/006 NO. 9 9. An experiment was carried out to determine the Young s modulus of a metal wire of length 3.0 and diameter 0.8. A vernier scale was used to measure its extension. The initial reading on the vernier scale was 0.5 and its readings after suspending different loads are shown in. The relation between load and wire extension is given by 4 Load, 3 4 5 6 7 Vernier reading 0.05 0.80 1.15 1.45 1.75.05.5 Extension, (a) Complete. (b) Plot a graph of against and label the centroid. (c) Determine the gradient of the graph. [Answer:. @.. ] (d) Calculate the Young s modulus by using the gradient obtained from (c).[answer:. ] PSPM I 006/007 NO. 9 9. FIGURE 1 PCH 1
FIGURE 1 shows an experimental setup to determine the mass per unit length, of a string. When a current of frequency 50 is supplied to the solenoid, a standing wave is formed in the string as described by the following equation 1 where h. The values of for different load, is shown in. Mass 10 Distance, 10 0.1 0 5.8 40 35.0 60 4.5 80 48.8 100 55.0 10 60.0 Tension, (a) Copy and complete. [Answer: Centroid=.,. ] (b) Plot a graph versus. (c) Determine the slope of the graph. [Answer:. or.. ] (d) Calculate the mass per unit length, of the string. [Answer:. or.. ] PSPM I 007/008 NO. 9 9. The time of fall for a free fall body from height h is given by h Where is the gravitational acceleration. shows the time of fall for various heights h obtained in a free fall experiment. PCH
Height h ( ) Time of fall ( ) ( ) 1.0 0.44.0 0.64 3.0 0.77 4.0 0.91 5.0 1.01 6.0 1.09 7.0 1.18 8.0 1.7 (a) Copy and complete. (b) Plot a graph of against h. (c) Determine the gradient of the graph. 1 [Answer: m= 0.1s m ] (d) Calculate the gravitational acceleration. [Answer: g= 9.5ms ] PSPM I 008/009 NO. 9 9. FIGURE 4 FIGURE 4 shows a path of a cannon ball shot with an initial velocity,. A number of shots are made at different angle of inclination,. The values of range, are recorded in. ( ) ( ) sin 5 30 8 330 10 450 15 580 0 800 5 970 30 1070 PCH 3
(a) Copy and complete. (b) Plot a graph of against sin. (c) Determine the gradient of the graph. [Answer: m= 11m] (d) Given that, calculate the initial velocity, from the graph. [Answer: u 1 = 109ms ] PSPM I 009/010 NO. 9 9. FIGURE 3 In an experiment, a stone is released repeatedly from the top of a tall building of height as shown in FIGURE 3. The time taken for the stone to reach different heights above the ground is shown in. The relationship between and is given by equation, + 1 Where is the acceleration due to gravity. 5 3.49 10 3.35 15 3.19 0 3.0 5.86 30.67 35.47 PCH 4
(a) Copy and complete. (b) Plot a graph of against. (c) Determine the gradient of the graph. [Answer: m = 4.91ms ] (d) Using the gradient from the graph, calculate. [Answer: (e) Determine from the graph. [Answer: H = 65m] g = 9.8ms ] PSPM I 010/011 NO. 9 9. The period, of a simple pendulum is given by Where is the length of the string and is the gravitational acceleration. In an experiment, the time for 0 oscillations for various lengths of string were measured and the results are shown in. Length of string, Time for oscillations Period, 90.0 37.5 80.0 36.0 70.0 34.0 60.0 31.5 50.0 9.0 40.0 6.5 30.0.5 0.0 19.0 (a) Copy and complete. (b) Plot a graph of versus. 1 (c) Determine the gradient of the graph. [Answer: 0.038 ( 0.034 0.04) s cm ] (d) Calculate the value of using the gradient of the graph. [Answer: g = 1038.9cms 940.0 1161.1 ] ( ) PCH 5
PSPM I 011/01 NO. 1 1. A stone is released from various heights, h. The respective time taken, to reach the ground is given in. The relationship between h and is given by h 1 where is the acceleration due to gravity. h h.00 0.60 4.00 0.85 6.00 1.14 8.00 1.3 10.00 1.40 1.00 1.49 14.00 1.71 (a) Copy and complete. (b) Plot a graph of h against. (c) Determine the gradient of the graph. [Answer: m 10.3ms ( 9.0 11.0) = ] [7 marks] (d) From the graph, calculate the acceleration due to gravity,. [Answer: g = 10.3ms 9.0 11.0 ] ( ) PSPM I 01/013 NO. 1 1. A student measured the period of oscillation, of a simple pendulum for six different lengths, and the results are shown in. 0.5 1.15 0.50 1.43 0.75 1.84 1.00.0 1.5.6 1.50.45 (a) Copy and complete. PCH 6
(b) Plot a graph of against. 1 (c) Determine the gradient of the graph. [Answer: m 3.75s m ( 3.38 4.13) (d) Given that = ] determine from the gradient of the graph. [Answer: g 10.53ms ( 9.48 11.58) = ] PSPM I 013/014 NO. 1 1. FIGURE 1 FIGURE 1 shows the deflection, of a rod for different magnitudes of van der Waals force,. The results of the measurement are given in. 1.6 1. 3.1.0 4.5.8 5.8 3.5 7.0 4. 8.4 5.0 (a) Plot a graph of against. [8 marks] (b) Determine the gradient and the intercept of the graph. [Answer: 1 m 1.76Nm 1.59 1.94 F = 0.50nN 0.45 to 0.55 ] = [ ]; [ ] [5 marks] (c)(i) Write the equation for the straight line of the graph. [Answer: F= 1.76x 0.5] PCH 7
(ii) Determine the force constant, of the rod. [Answer: k 1 = 1.76Nm ] PSPM I 014/015 NO. 1 1. A mass oscillating on a spring has a period given by where is the spring constant. shows the time of 0 oscillations, for each mass. Mass Time for 0 oscillations 0. 10. 0.3 13. 0.4 14.6 0.5 16.6 0.6 17.8 0.7 19.6 0.8 0.6 Period (a) Copy and complete. (b) Plot a graph of against. 1 (c) Determine the gradient of the graph. [Answer: m 1.35s kg ( 1. 1.49) = ] k= 9.4kgs 6.3 3.16 ] (d) Calculate the spring constant from the graph.[answer: ( ) PCH 8