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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 surface of the Earth ?
Explanation
The weight of an object is defined as the gravitational force acting upon its mass [1]. This relationship is mathematically expressed by the formula W = mg, where 'W' is weight, 'm' is mass, and 'g' is the acceleration due to gravity. While the mass of an object remains constant regardless of its location, its weight is directly proportional to the local gravitational acceleration [1]. In this scenario, the object weighs 9 N on Earth. If it is moved to a planet where the acceleration due to gravity is 9 times that of Earth (9g), the new weight (W') is calculated as W' = m * (9g). Since W = mg = 9 N, the new weight becomes 9 * (mg), which equals 9 * 9 N = 81 N. Therefore, the weight becomes 9 times its original value.
Sources
- [1] Science ,Class VIII . NCERT(Revised ed 2025) > Chapter 5: Exploring Forces > A step further > p. 75