(a)[1]
Define gravitational field strength in words.
(b)
An isolated planet can be treated as a uniform sphere with radius $3.39 \times 10^6\,\text{m}$. Its mass, $6.42 \times 10^{23}\,\text{kg}$, may be assumed to behave like a point mass concentrated at the centre. The planet spins about its axis with a period of $24.6\,\text{hours}$. For an object resting on the planet’s surface at the equator, calculate, to three significant figures:
(b(i))[2]
the gravitational field strength due to gravity.
(b(ii))[2]
the centripetal acceleration of the object.
(b(iii))[1]
the force per unit mass applied to the object by the planet’s surface.