The gravitational field strength on the surface of an object is given by: g = k × m/r², where k is a constant, m is the mass of the object, and r is the radius. Mars has a mass about 0.107 times that of Earth, and a radius about 0.53 times that of Earth.
How does the gravitational field strength on the surface of Mars compare to that on the surface of Earth?
❓ Pick the best answer:
- A About 0.11 times as strong
- B About 0.20 times as strong
- C About 0.38 times as strong
- D About 0.57 times as strong
Inverse-square scaling: g ∝ m/r² — substitute both ratios, and square the radius ratio before dividing.
- A — Only multiplies by mass ratio (0.107), ignores radius term
- B — Divides by radius ratio once (0.107/0.53 ≈ 0.20), not squared
- D — Misreads 1/0.53 as 5.3, giving 0.107 × 5.3 ≈ 0.57
g_Mars/g_Earth = m_Mars/m_Earth × (r_Earth/r_Mars)² = 0.107 × (1/0.53)² = 0.107 × 3.565 = 0.381 ≈ 0.38.
Revise: Lessons S4 (Scaling) and P2a (Forces).