neco model questions vol1 2021 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 mass of the cylinder is measured on a balance and the volume is obtained by noting the rise in water level in a graduated cylinder.
Question Parts
(a)
Calculate the density of the cylinder in g cm⁻³. (Mass = 150.0 g, water level rises from 50.0 mL to 62.5 mL)
(b)
The accepted density of copper is 8.96 g cm⁻³. Determine the percent error of the experimental density obtained in part (a).
(c)
State two possible sources of error in the experiment and suggest one practical way to reduce each error.
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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. The forces are applied as follows:
Question Parts
(a)
Calculate the theoretical magnitude (in N) and direction (in degrees above the horizontal) of the resultant of the two forces. (F₁ = 5.0 N at 0°, F₂ = 3.0 N at 60°).
(b)
The resultant measured on the force table is 7.2 N acting at 28° above the horizontal. Determine the percent difference between the measured and theoretical magnitudes.
(c)
Identify two possible sources of error in the force‑table experiment and suggest one method to minimise each error.
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Question 3 View Details
A smooth inclined plane is fixed on a laboratory bench. A ticker timer that marks a dot every 0.02 s is used to study the motion of a low‑friction cart released from rest at the top of the plane. The plane can be set at two angles, 30° and 45°, measured with a protractor. The distances (in centimetres) between successive dots recorded by the ticker timer for each angle are given below. **Angle 30°** (distance between successive dots): 1.2, 1.4, 1.6, 1.8, 2.0 cm **Angle 45°** (distance between successive dots): 1.5, 1.8, 2.2, 2.7, 3.3 cm Assume the cart starts from rest at the first dot. Answer the following:
Question Parts
(a)
For each angle, calculate the average acceleration of the cart using the first and last recorded velocities.
(b)
Using the relation a = g sinθ, calculate the experimental value of g for each angle and compare it with the accepted value 9.8 m s⁻². State the percentage deviation.
(c)
Identify two probable sources of systematic error that could affect the acceleration values obtained.
(d)
Suggest one practical improvement to reduce the error identified in part (c).
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Question 4 View Details
A helical spring is suspended vertically from a fixed support. Different masses are hung from the spring and the resulting extensions are measured with a ruler. The data obtained are shown below. | Mass (g) | Extension (cm) | |----------|----------------| | 100 | 2.5 | | 200 | 5.0 | | 300 | 7.5 | | 400 | 10.0 | | 500 | 12.5 | After the spring constant is determined, a 200 g mass is attached to the spring and set into vertical simple harmonic motion. Using a stopwatch, the time for 20 complete oscillations is recorded as 9.00 s. Answer the following:
Question Parts
(a)
Determine the spring constant k of the spring (in N m⁻¹) using the data above. Show the method you use.
(b)
Using the spring constant obtained in part (a), calculate the theoretical period Tₜ of a 200 g mass attached to the spring. Use T = 2π√(m/k).
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