neco 2020 physics | Practical

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Question 1 View Details
A student is required to determine the acceleration due to gravity (g) using a simple pendulum. The length of the pendulum string is measured with a metre rule and recorded as 1.00 m (to the nearest millimetre). The time for 20 complete oscillations is measured with a stop‑watch. The experiment is repeated three times and the recorded times are shown in the table below. | Trial | Time for 20 oscillations (s) | |-------|------------------------------| | 1 | 40.2 | | 2 | 40.5 | | 3 | 40.1 | Using the data, answer the following:
Question Parts
(a)
Calculate the average period (T) of the pendulum in seconds.
(b)
Using the period obtained in (a), calculate the value of g (in m s⁻²) to two decimal places. Use \(g = 4\pi^{2}L/T^{2}\).
(c)
State two possible sources of error in this experiment and suggest one method to reduce each error.
(d)
Comment on the reliability of the value of g obtained in part (b) compared with the standard value of 9.81 m s⁻².
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Question 2 View Details
A force table is used to investigate vector addition. Two known forces are applied as follows: - Force P: magnitude 5.0 N acting 30° north of east. - Force Q: magnitude 8.0 N acting 120° measured anticlockwise from the positive x‑axis (east). The forces are applied simultaneously and the resultant force is read from the table's pointer. Answer the following:
Question Parts
(a)
Resolve each force into its horizontal (x) and vertical (y) components (in newtons, to two decimal places).
(b)
Using the components from (a), determine the magnitude and direction of the resultant force R (to two decimal places). State the direction as an angle north of east.
(c)
If the system is to be brought to equilibrium, a third force S must be applied. State the magnitude and direction (as an angle north of east) of S required for equilibrium.
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Question 3 View Details
A student investigates the motion of a toy car down a smooth inclined plane set at 5° to the horizontal. The car is released from rest at the top and the time taken to travel successive 0.5 m intervals is recorded with a stopwatch. The data obtained are shown in the table. | Distance travelled (m) | Cumulative time (s) | |------------------------|----------------------| | 0.5 | 1.20 | | 1.0 | 2.30 | | 1.5 | 3.30 | | 2.0 | 4.20 | | 2.5 | 5.00 | Using the data, answer the following questions:
Question Parts
(a)
Calculate the average speed of the car for each 0.5 m interval.
(b)
Assuming the motion is uniformly accelerated, determine the magnitude of the acceleration of the car using the data.
(c)
Using the acceleration found in part (b), predict the time required for the car to travel a distance of 3.0 m from rest.
(d)
State two possible sources of error that could affect the accuracy of the results obtained in this experiment.
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Question 4 View Details
A student uses a force table to verify equilibrium of three forces acting on a central ring. The forces are applied as follows: - Force 1: 4.0 N acting horizontally to the right (0°).\n- Force 2: 5.0 N acting at 60° anticlockwise from the horizontal.\n- Force 3: unknown magnitude F₃ acting at 135° anticlockwise from the horizontal. The student adjusts the third force until the ring remains stationary. Answer the following:
Question Parts
(a)
Resolve Forces 1 and 2 into their horizontal (x) and vertical (y) components.
(b)
Using the condition for equilibrium (∑Fx = 0, ∑Fy = 0), calculate the magnitude and direction (angle measured anticlockwise from the positive x‑axis) of the required third force.
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