ijmb model questions vol1 2024 physics | Practical

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Question 1 View Details
A student is required to determine the length of a metal rod using a vernier caliper. The caliper has a zero‑error of –0.02 cm (i.e., it reads 0.02 cm less than the true zero). The student records the following three successive readings after repositioning the rod each time: | Trial | Vernier reading (cm) | |-------|----------------------| | 1 | 12.34 | | 2 | 12.36 | | 3 | 12.33 | Using the data, the student must: a) Obtain the best estimate of the true length of the rod (to the nearest 0.01 cm). b) Calculate the percentage uncertainty of the measurement, taking the standard deviation of the three readings as the absolute uncertainty. c) Identify two possible sources of systematic error in the experiment and suggest one precaution for each.
Question Parts
(a)
Obtain the best estimate of the true length of the rod (to the nearest 0.01 cm).
(b)
Calculate the percentage uncertainty of the measurement, taking the standard deviation of the three readings as the absolute uncertainty.
(c)
Identify two possible sources of systematic error in the experiment and suggest one precaution for each.
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Question 2 View Details
In a force‑table experiment, a small wooden block of mass 0.50 kg is attached to a string and placed at the centre of the table. Three forces are applied as follows: - Force F₁ = 5.0 N directed due east. - Force F₂ = 8.0 N making an angle of 30° north of east. - Force F₃ = unknown, applied along the north‑south line (positive north) to keep the block in equilibrium. The student records the tension in the string after the block is released and moves 2.0 m along the direction of the resultant of F₁ and F₂ before coming to rest. Using the data, the student must: a) Determine the magnitude and direction (angle north of east) of the resultant of F₁ and F₂. b) Find the magnitude of the unknown force F₃ required for equilibrium. c) Calculate the net work done on the block by the resultant force during the 2.0 m displacement. d) Discuss one source of random error that could affect the measurement of the displacement and how it would influence the calculated work.
Question Parts
(a)
Determine the magnitude and direction (angle north of east) of the resultant of F₁ and F₂.
(b)
Find the magnitude of the unknown force F₃ required for equilibrium.
(c)
Calculate the net work done on the block by the resultant force during the 2.0 m displacement.
(d)
Discuss one source of random error that could affect the measurement of the displacement and how it would influence the calculated work.
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Question 3 View Details
A cart is released from rest at the top of a smooth inclined plane. The motion is recorded using a ticker timer that marks at a frequency of 50 Hz. The table below shows the number of ticker marks recorded from the start and the corresponding distance travelled by the cart measured with a ruler. | Ticker marks (n) | Distance travelled (cm) | |------------------|------------------------| | 0 | 0 | | 5 | 1 | | 10 | 4 | | 15 | 9 | | 20 | 16 | | 25 | 25 | Using the data, answer the following:
Question Parts
(a)
Calculate the time interval corresponding to each ticker mark and complete the table with the values of t (s) and t² (s²).
(b)
Using the relationship s = ½ a t² (initial speed u = 0), determine the acceleration of the cart. Show clearly how you obtain the value of a.
(c)
From the obtained acceleration, calculate the angle of inclination θ of the plane, assuming the only force causing the motion is the component of gravity down the plane (a = g sin θ, g = 9.8 m s⁻²). Give θ to one decimal place.
(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 uniform rigid rod AB of length 2.00 m and weight 5.0 N is hinged at A to a vertical wall. The rod is held in static equilibrium by a steel cable CD attached to B and anchored to the wall at D, 1.00 m above point A. The cable makes an angle of 30° above the horizontal. A small mass m is suspended from the midpoint of the rod. The tension in the cable is measured as 12.0 N. Using the data provided, determine the unknown mass, the reaction forces at the hinge, and discuss the reliability of the result.
Question Parts
(a)
Resolve the tension into its horizontal and vertical components. Give the numerical values (in newtons) to two decimal places.
(b)
Taking moments about the hinge A, calculate the magnitude of the suspended mass m (in kilograms). Show all steps.
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