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Question 21M.2.HL.TZ1.c.ii

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Date May 2021 Marks available [Maximum mark: 2] Reference code 21M.2.HL.TZ1.c.ii
Level HL Paper 2 Time zone TZ1
Command term Estimate Question number c.ii Adapted from N/A
c.ii.
[Maximum mark: 2]
21M.2.HL.TZ1.c.ii

A planet is in a circular orbit around a star. The speed of the planet is constant. The following data are given:

Mass of planet                                      =8.0×1024 kg
Mass of star                                          =3.2×1030 kg
Distance from the star to the planet R  =4.4×1010 m.

A spacecraft is to be launched from the surface of the planet to escape from the star system. The radius of the planet is 9.1 × 103 km.

Estimate the escape speed of the spacecraft from the planet–star system.

[2]

Markscheme

use of vesc = 2V ✓

v = 9.91 × 104 «m s−1» ✓

 

 

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