DP Physics (last assessment 2024)

Question 18N.3.HL.TZ0.10b.ii

Date	November 2018	Marks available	[Maximum mark: 2]	Reference code	18N.3.HL.TZ0.10b.ii
Level	HL	Paper	3	Time zone	TZ0
Command term	Calculate	Question number	b.ii	Adapted from	N/A

b.ii.

[Maximum mark: 2]

18N.3.HL.TZ0.10b.ii

A horizontal pipe is inserted into the cylindrical tube so that its centre is at a depth of 5.0 m from the surface of the water. The diameter D of the pipe is half that of the tube.

When the pipe is opened, water exits the pipe with speed u and the surface of the water in the tube moves downwards with speed v.

(b.ii)

The density of water is 1000 kg m^–3. Calculate u.

[2]

Markscheme

Bernoulli:

« $\frac{1}{2}\rho {v^2} + \rho gH + {P_{{\text{atm}}}} = \frac{1}{2}\rho {u^2} + 0 + {P_{{\text{atm}}}}$ » gives $\frac{1}{2} \times 1000 \times \frac{{{u^2}}}{{16}} + 1000 \times 9.8 \times 5.0 = \frac{1}{2} \times 1000 \times {u^2}$ ✔

u = 10.2 «m s^–1» ✔

Accept solving directly via conservation of energy.

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Option B: Engineering physics

Option B: Engineering physics » Option B: Engineering physics (Additional higher level option topics) » B.3 – Fluids and fluid dynamics (HL only)

Option B: Engineering physics » Option B: Engineering physics (Additional higher level option topics)

Question 18N.3.HL.TZ0.10b.ii

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