Weight is defined as the force of gravity acting on an object, given by the formula W = m g, where W is weight, m is mass, and g is the acceleration due to gravity. The mass of the object remains constant regardless of location. If the acceleration due to gravity (g) on the planet is 9 times that on Earth (g_planet = 9 g_earth), then the weight on the planet will be W_planet = m g_planet = m (9 g_earth) = 9 (m g_earth) = 9 W_earth. Thus, the weight on the planet becomes 9 times the weight on Earth.
An object weighs 9 N on the surface of the Earth. What would be its weight, when measured on the surface of a planet where the acceleration due to gravity is 9 times that on the Earth ?
Asked in UPSC CDS 1 2022 · Topic: Mechanics (Gravitation and Central Force Motion (Kepler's Laws))
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