The weight of a 1.00 kg object on the surface of the Moon is (G = 6.67 × 10^-11 N m²/kg², the radius of the Moon is 1.74 × 10⁶ m, and the mass of the Moon is 7.35 × 10²² kg) A) 9.80 N. B) 7.59 N. C) 1.62 N. D) 0.981 N. E) 0.548 N.

Question

Quizplus · Accepted Answer

The weight of an object on the moon can be calculated using the formula for gravitational force: $F = \frac{G \cdot m_1 \cdot m_2}{r^2}$, where $G$ is the gravitational constant, $m_1$ and $m_2$ are the masses of the two objects (in this case, the object and the Moon), and $r$ is the distance between the centers of the two masses (the radius of the Moon). Substituting the given values: $F = \frac{(6.67 \times 10^{-11}) \cdot (1) \cdot (7.35 \times 10^{22})}{(1.74 \times 10^6)^2}$, the result is approximately 1.62 N, indicating that the weight of the object on the Moon is 1.62 Newtons.

The Weight of a 1