Non-uniform motion: past paper questions
Real questions on non-uniform motion
The newest 8 of 8 written questions. Open one to see it on the real paper.
- 9702/43 · May/June 2024 · Q4c[2]
The vibration generator in (b) is switched on and its frequency f of vibration is gradually increased from 0 to 10 Hz. On Fig. 4.3, sketch the variation with f of the amplitude of the oscillations of the ball. amplitude 0 0 2.5 5.0 7.5 10.0 f / Hz Fig. 4.3
See it on the paper → - 9702/22 · October/November 2023 · Q2b(ii)[3]
State and explain the variation, if any, in the magnitude of the acceleration of the sphere when it is moving downwards before it reaches terminal (constant) velocity.
See it on the paper → - 9702/22 · October/November 2023 · Q2c[2]
The sphere has a mass of 4.0 kg. Calculate the total resistive force acting on the sphere at the instant when its acceleration is 1.9 m s –2 . resistive force = N
See it on the paper → - 9702/22 · October/November 2023 · Q3a[2]
By using the initial elastic potential energy of the compressed spring, calculate its spring constant. spring constant = N m –1
See it on the paper → - 9702/22 · October/November 2023 · Q3b[2]
Calculate the speed of the spring as it leaves the surface of the table. speed = m s –1
See it on the paper → - 9702/22 · October/November 2023 · Q3c(i)[2]
Calculate, for this movement of the spring, the increase in height of the spring after leaving the surface of the table. increase in height = m
See it on the paper → - 9702/22 · October/November 2023 · Q3c(ii)[2]
Calculate the average frictional force exerted by the rod on the spring as it rises. average frictional force = N
See it on the paper → - 9702/22 · October/November 2023 · Q3d[2]
The rod is replaced by another rod that exerts negligible frictional force on the moving spring. The initial compression x of the spring is now varied in order to vary the maximum increase in height Δh of the spring after leaving the surface of the table. Assume that the spring obeys Hooke’s law for all compressions. O...
See it on the paper →
What examiners said
Most responses mentioned the presence of air resistance, although some candidates did not explain that the air resistance would increase. Only a small minority of the candidates correctly explained that this would then cause the resultant force on the sphere to decrease. Many candidates correctly stated that the acceleration of the sphere would decrease, although some of the weaker candidates thou...
— Examiner report, October/November 2023, 9702/22 Q2(b)(ii) (Cambridge)
Many candidates were able to calculate the resultant force acting on the sphere. The strongest candidates went on to use the resultant force and the weight to determine the total resistive force.
— Examiner report, October/November 2023, 9702/22 Q2(c) (Cambridge)
Most candidates could recall the relevant formula for the elastic potential energy of a spring. A common mistake was to then forget to convert the compression of the spring from centimetres to metres. Other candidates did not square the value of the compression when substituting it into the formula.
— Examiner report, October/November 2023, 9702/22 Q3(a) (Cambridge)
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