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Question 18M.2.HL.TZ2.6d

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Date May 2018 Marks available [Maximum mark: 2] Reference code 18M.2.HL.TZ2.6d
Level HL Paper 2 Time zone TZ2
Command term Calculate Question number d Adapted from N/A
d.
[Maximum mark: 2]
18M.2.HL.TZ2.6d
(d)

The mass of the asteroid is 6.2 × 1012 kg. Calculate the gravitational force experienced by the planet when the asteroid is at point P.

[2]

Markscheme

ALTERNATIVE 1

force on asteroid is «6.2 × 1012 × 2.2 =» 1.4 × 1013 «N»

«by Newton’s third law» this is also the force on the planet

ALTERNATIVE 2

mass of planet = 2.4 x 1025 «kg» «from V = – G M ( R + h ) »

force on planet « G M m ( R + h ) 2 » = 1.4 × 1013 «N»

 

MP2 must be explicit

[2 marks]

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