Question

what are the primary sources of energy driving physical processes on earth?
only radioactive isotopes and gravitational potential
the sun, gravitational potential, decay of radioactive isotopes, and earths rotation
only geothermal energy
only the sun and earths rotation

question 2
how does the sun influence earths weather and climate?
none of these
by causing unequal warming of earths surface and atmosphere
by providing energy for tidal movements
by heating the earths core

Explanation:

For the first question, the Sun provides a vast amount of energy for processes like weather - related ones, gravitational potential affects large - scale movements, decay of radioactive isotopes contributes to internal heat, and Earth's rotation influences phenomena like the Coriolis effect. For the second question, the Sun heats different parts of the Earth's surface and atmosphere unevenly, which drives weather and climate patterns. Tidal movements are mainly due to the gravitational pull of the Moon and Sun, and the Sun does not directly heat the Earth's core.

Answer:

Question 1: The Sun, gravitational potential, decay of radioactive isotopes, and Earth’s rotation
Question 2: By causing unequal warming of Earth’s surface and atmosphere