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Question 22M.2.HL.TZ2.c.iii

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Date May 2022 Marks available [Maximum mark: 3] Reference code 22M.2.HL.TZ2.c.iii
Level HL Paper 2 Time zone TZ2
Command term Determine Question number c.iii Adapted from N/A
c.iii.
[Maximum mark: 3]
22M.2.HL.TZ2.c.iii

A metal sphere is charged positively and placed far away from other charged objects. The electric potential at a point on the surface of the sphere is 53.9 kV.

A small positively charged object moves towards the centre of the metal sphere. When the object is 2.8 m from the centre of the sphere, its speed is 3.1 m s−1. The mass of the object is 0.14 g and its charge is 2.4 × 10−8 C.

Determine whether the object will reach the surface of the sphere.

[3]

Markscheme

«p.d. between point and sphere surface = » (53.9 kV – 7.71) «kV»  OR  46.2 «kV» seen ✓

«energy required =» VQ « = 46 200 × 2.4 × 10-8» = 1.11 mJ ✓

this is greater than kinetic energy so will not reach sphere ✓

 

MP3 is for a conclusion consistent with the calculations shown.

Allow ECF from MP1