If the weight of an object on the Earth's surface is 2.5 x 10\(^3\)N, what is its weight on the moon's surface if the gravitational force of the moon is one-sixth of the Earth's(g = 10m/s\(^{-2}\))
Weight on Earth:
\(W_e = 2.5 \times 10^3 \, \text{N}, \quad g_e = 10 \, \text{m/s}^2\)
Mass: \(m = \frac{W_e}{g_e} = \frac{2500}{10} = 250 \, \text{kg}\)
Moon's gravity is approximately \( \frac{1}{6} \) of Earth's:
\(g_m = \frac{10}{6} \, \text{m/s}^2\)
Weight on the Moon: \(W_m = m \times g_m = 250 \times \frac{10}{6} = \frac{2500}{6} \approx 416.67 \, \text{N}\)
Thus, the weight on the Moon is: 416.67N
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