A particle of mass m is taken to height h from the surface of the earth.
Understand the Problem
The question involves understanding the physics related to a particle of mass m being moved to a height h from the surface of the Earth, likely involving gravitational potential energy or similar concepts.
Answer
mgR
The change in gravitational potential energy is mgR.
Answer for screen readers
The change in gravitational potential energy is mgR.
More Information
When a particle of mass m is raised to a height equivalent to the radius of the Earth (R), its change in gravitational potential energy can be calculated using the formula ΔU = mgh. At such heights, the gravitational force decreases, which is accounted for by using the radius for h, leading to the formulation ΔU = mgR.
Tips
A common mistake is to directly use mgh with h = R without considering the change in gravitational acceleration with height.
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