neco 2023 physics | Practical

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Question 1 View Details
A solid metal cylinder is to be investigated for its density using the water displacement method. The apparatus consists of a balance (accuracy ±0.1 g) and a graduated cylinder (accuracy ±0.1 mL).
Question Parts
(a)
The mass of the cylinder is measured as 250.0 g. State the mass in kilograms, showing the correct conversion.
(b)
The initial water level in the graduated cylinder is 100.0 mL and after gently immersing the cylinder the level rises to 131.9 mL. Determine the volume of the cylinder in cm\(^3\).
(c)
Using the data obtained, calculate the experimental density of the metal cylinder. Show the formula used and give the answer to three significant figures.
(d)
The standard density of the metal (given in the table) is 7.85 g cm\(^{-3}\). Calculate the percentage error of the experimental value obtained in part (c). State whether the result is an over‑estimate or under‑estimate.
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Question 2 View Details
A force table is set up to investigate the resultant of two non‑collinear forces. The forces are applied using calibrated spring‑balance hooks. The angles are measured with a protractor (accuracy ±0.5°).
Question Parts
(a)
Force \(F_{1}\) of magnitude 5.0 N acts at \(30^{\circ}\) above the positive x‑axis. Force \(F_{2}\) of magnitude 8.0 N acts at \(120^{\circ}\) measured anticlockwise from the positive x‑axis. Record these magnitudes and directions.
(b)
Determine the theoretical resultant force \(R\) by resolving the two forces into their rectangular components. Give the magnitude of \(R\) to two decimal places and its direction measured from the positive x‑axis.
(c)
The resultant is now measured directly with a spring balance placed along the direction found in part (b). The reading obtained is 9.2 N. Calculate the percentage difference between the measured and the theoretical magnitude.
(d)
Suggest two possible sources of error that could account for the difference obtained in part (c).
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Question 3 View Details
A student conducts a motion experiment using a ticker timer and a cart on a straight horizontal track. The ticker timer marks at intervals of 0.02 s. The distances measured between successive ticker dots are given in the table below. | Interval (n) | Distance between dots (cm) | |--------------|----------------------------| | 1 | 12.5 | | 2 | 13.0 | | 3 | 13.5 | | 4 | 14.0 | | 5 | 14.5 | | 6 | 15.0 | Using this data, answer the following questions.
Question Parts
(a)
Calculate the speed of the cart for each of the six intervals.
(b)
Assuming the motion is uniformly accelerated, determine the acceleration of the cart.
(c)
List two possible sources of error in this experiment and suggest a way to minimise each.
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Question 4 View Details
A student investigates the relationship between the force applied to a spring and its extension using a spring balance and a set of masses. The spring is hung vertically from a fixed support. The student adds the masses shown in the table and records the extension of the spring measured from its natural length. | Mass (kg) | Extension (cm) | |-----------|----------------| | 0.10 | 1.2 | | 0.20 | 2.5 | | 0.30 | 3.7 | | 0.40 | 5.0 | | 0.50 | 6.3 | Take g = 9.8 m s⁻². Answer the following questions.
Question Parts
(a)
Calculate the force exerted by each mass and complete the table.
(b)
Determine the spring constant k from the data.
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