Jupiter has a mass of

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

1.9 \times 10^{27}\,\text{kg}

. Answer the following questions. Take

G = 6.67 \times 10^{-11}\,\text{N\,m}^2\text{kg}^{-2}

. (i) Calculate the gravitational field intensity at point

P

, which is

2.0 \times 10^{7}\,\text{m}

from Jupiter’s centre. (ii) Calculate the gravitational field intensity at point

Q

, which is

3.0 \times 10^{7}\,\text{m}

from Jupiter’s centre and hence determine the ratio

E_P : E_Q

. (iii) At what distance from Jupiter’s centre will the field intensity be exactly half of its value at point

P