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Question 20N.2.HL.TZ0.c(ii)

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Date November 2020 Marks available [Maximum mark: 2] Reference code 20N.2.HL.TZ0.c(ii)
Level HL Paper 2 Time zone TZ0
Command term Draw Question number c(ii) Adapted from N/A
c(ii).
[Maximum mark: 2]
20N.2.HL.TZ0.c(ii)

A vertical solid cylinder of uniform cross-sectional area A floats in water. The cylinder is partially submerged. When the cylinder floats at rest, a mark is aligned with the water surface. The cylinder is pushed vertically downwards so that the mark is a distance x below the water surface.

At time t=0 the cylinder is released. The resultant vertical force F on the cylinder is related to the displacement x of the mark by

F=-ρAgx

where ρ is the density of water.

The cylinder was initially pushed down a distance x=0.250 m.

Draw, on the axes, the graph to show how the kinetic energy of the cylinder varies with time during one period of oscillation T.

[2]

Markscheme

energy never negative ✓

correct shape with two maxima ✓

Examiners report

Most candidates answered with a graph that was only positive so scored the first mark.

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