Effect of changing gravitational acceleration on weight If the local gravitational acceleration doubles (g becomes 2g), how does the weight of a given body change? Assume mass remains constant.

Introduction / Context:Weight is the gravitational force acting on a body. This question tests the relationship between weight, mass, and gravitational acceleration, a foundational concept in mechanics.

Given Data / Assumptions:

• Mass m of the body is constant.
• Original gravitational acceleration = g; new acceleration = 2g.
• Weight W is defined as m * g.

Concept / Approach:Weight depends linearly on gravitational acceleration. Doubling g doubles the weight for the same mass.

Step-by-Step Solution:

Verification / Alternative check:Units remain force (newtons): N = kg * m/s^2. Doubling the acceleration term doubles the numerical value of the force for fixed mass.

Why Other Options Are Wrong:

• Half or same: would require g to be halved or unchanged.
• Four times: would require g to become 4g, not 2g.

Common Pitfalls:Mixing up mass (invariant in this scenario) with weight (force that changes with g). Mass is measured in kilograms; weight is measured in newtons.

Final Answer:twice its original weight