Question

The mass and weight of an object on earth are 5 kg and 49 N respectively. What will be their values on the moon? Assume that the acceleration due to gravity on the moon is 1/6th of that on the earth

Answer 1

Given: Mass on earth (me) = 5 kg, weight on earth (W_e) = 49 N,

acceleration due to gravity on moon (g_m) = `9.8/6` m/s² = 1.6333 m/s²

To find: Mass (m_m), weight (W_m) on moon

Formula: W_m = m_mg_m

Calculation: The mass of the object is independent of gravity and remains unchanged i.e., 5 kg.

From formula,

W_m = 5 × 1.6333

∴ W_m = 8.1665 N ≈ 8.17 N

On moon, the mass of the object is 5 kg and the weight is 8.17 N.