Question

1. the gravitational constant (g) is approximately: a) 9.8 m/s² b) 3.14 c) 6.673 × 10⁻¹¹ n·m²/kg² d) 1.67 × 10⁻²⁷ kg

Explanation:

• Option A: \(9.8\space m/s^2\) is the acceleration due to gravity (\(g\)), not the gravitational constant (\(G\)).
• Option B: \(3.14\) is the approximate value of \(\pi\), unrelated to \(G\).
• Option C: The gravitational constant \(G\) has a value of approximately \(6.673\times10^{-11}\space N\cdot m^2/kg^2\), which matches this option.
• Option D: \(1.67\times10^{-27}\space kg\) is the mass of a proton, not related to \(G\).

Answer:

C) \(6.673 \times 10^{-11}\space N\cdot m^2/kg^2\)