DP Physics (last assessment 2024)

Question 18M.2.HL.TZ2.d.ii

d.ii.

[Maximum mark: 2]

18M.2.HL.TZ2.d.ii

The ball is now displaced through a small distance x from the bottom of the bowl and is then released from rest.

M18/4/PHYSI/HP2/ENG/TZ2/01.d

The magnitude of the force on the ball towards the equilibrium position is given by

$\frac{{mgx}}{R}$

where R is the radius of the bowl.

Show that the period of oscillation of the ball is about 6 s.

[2]

Markscheme

ω = « $\sqrt {\frac{g}{R}}$ » = $\sqrt {\frac{{9.81}}{{8.0}}}$ «= 1.107 s^–1»

T = « $\frac{{2\pi }}{\omega }$ = $\frac{{2\pi }}{{1.107}}$ =» 5.7 «s»

Allow use of or g = 9.8 or 10

Award [0] for a substitution into T = 2π $\sqrt {\frac{I}{g}}$

[2 marks]

Syllabus sections