ijmb model questions vol1 2018 physics | Practical

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Question 1 View Details
A simple pendulum is to be used to determine the acceleration due to gravity (g). The length of the pendulum string is measured with a metre rule, and the time for 20 complete oscillations is recorded with a stop‑watch. The following data were obtained:
Question Parts
(a)
Calculate the mean period of oscillation (T) in seconds.
(b)
Using the mean period obtained, calculate the value of g. Show all steps and state the formula used.
(c)
Estimate the percentage error in the value of g obtained, assuming the accepted value of g = 9.81 m s⁻². Discuss two possible sources of systematic error in the experiment.
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Question 2 View Details
A force table is set up to determine the resultant of two forces acting at known angles. Two hanging masses produce the forces shown in the table below:
Question Parts
(a)
Resolve each force into its horizontal (x) and vertical (y) components. State the components to three significant figures.
(b)
Using the components, calculate (i) the magnitude of the resultant force and (ii) its direction measured as the angle above the horizontal. Give the magnitude to two significant figures and the angle to one decimal place.
(c)
Describe how the third balancing force on the force table is used to verify the resultant obtained in part (b). Include the steps a candidate would follow during the experiment.
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Question 3 View Details
A ticker timer is set to mark a dot on a moving strip of paper every 0.10 s. A small steel ball is released from rest and falls vertically, passing the ticker timer. The distances (in metres) between five successive dots recorded on the paper are: 0.20, 0.30, 0.40, 0.50 and 0.60. Using this data, answer the following:
Question Parts
(a)
Calculate the instantaneous speed of the ball at each recorded dot.
(b)
Assuming the ball moves with uniform acceleration, determine the magnitude of this acceleration.
(c)
Calculate the percentage error of the experimental acceleration with respect to the standard value of g = 9.81 m s⁻².
(d)
State two possible sources of error in this experiment and suggest a method to reduce each error.
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Question 4 View Details
A spring is fixed at one end and a set of masses is hung from the other end. The following data are recorded for each mass (m) and the corresponding extension (x) of the spring: | m (kg) | x (m) | |--------|-------| | 0.10 | 0.015 | | 0.20 | 0.030 | | 0.30 | 0.045 | | 0.40 | 0.060 | | 0.50 | 0.075 | Using g = 9.8 m s⁻², answer the questions below:
Question Parts
(a)
Plot a graph of the applied force (F = mg) against the extension x and determine the gradient of the straight‑line fit.
(b)
From the gradient obtained, calculate the spring constant k of the spring.
(c)
Using the value of k obtained, compute the elastic potential energy stored in the spring when it is extended by 0.10 m.
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