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Question 19M.2.SL.TZ1.4a

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Date May 2019 Marks available [Maximum mark: 2] Reference code 19M.2.SL.TZ1.4a
Level SL Paper 2 Time zone TZ1
Command term Show that Question number a Adapted from N/A
a.
[Maximum mark: 2]
19M.2.SL.TZ1.4a
(a)

A solid cylinder of height h and density ρ rests on a flat surface.

Show that the pressure pc exerted by the cylinder on the surface is given by pc = ρgh.

[2]

Markscheme

weight of cylinder = Ahg ρ  ✔

pressure = F A = A h g ρ A

Allow use of A =  π r 2 in MP1

Examiners report

This question was fairly well answered with a not insignificant number of candidates making clearly wrong substitutions (such as F=mgh) to make the equation work out. As a “show that” question the derivation should be neatly laid out with the fundamental equations written out and the substitutions/cancelations clearly shown.