The Gravitational P.E. of a body of mass m at the earth's surface is -mgRe. Its gravitational po

step 1 Hello, the gravitational potential energy of a body of mass M at the Earth surface minus of MG f

The Gravitational P.E. of a body of mass m at the earth's...

The Gravitational P.E. of a body of mass $\mathrm{m}$ at the earth's surface is $-\mathrm{mgRe}$. Its gravitational potential energy at a height $\operatorname{Re}$ from the earth's surface will be $=\ldots \ldots \ldots$ here (Re is the radius of the earth) (A) $-2 \mathrm{mgRe}$ (B) $2 \mathrm{mgRe}$ (C) $(1 / 2) \mathrm{mg} \mathrm{Re}$ (D) $-(1 / 2) \mathrm{mg} \operatorname{Re}$

The Gravitational P.E. of a body of mass $\mathrm{m}$ at the earth's surface is $-\mathrm{mgRe}$. Its gravitational potential energy at a height $\operatorname{Re}$ from the earth's surface will be $=\ldots \ldots \ldots$ here (Re is the radius of the earth)
(A) $-2 \mathrm{mgRe}$
(B) $2 \mathrm{mgRe}$
(C) $(1 / 2) \mathrm{mg} \mathrm{Re}$
(D) $-(1 / 2) \mathrm{mg} \operatorname{Re}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Gravitational Potential Energy

Gravitational potential energy is the energy a mass possesses due to its position in a gravitational field. It depends on both the mass of the object and the strength of the gravitational field, and is typically expressed as a negative quantity when using a reference point at infinity. This concept is fundamental in understanding how energy changes as an object moves closer to or further from a massive body like the Earth.

Inverse-Square Law

The gravitational force between two masses varies inversely with the square of the distance between their centers. This law underpins the derivation of the gravitational potential energy formula, where the potential energy is given by -GMm/r. It explains why the potential energy changes non-linearly as the distance from the center of the Earth increases.

Reference Level of Potential Energy

In gravitational physics, the potential energy is commonly defined relative to a reference level, often taken at infinity where the potential energy is zero. When using specific points for calculations, such as the Earth’s surface or a height above it, this reference helps in determining the relative change in energy. The choice of reference is critical for ensuring that the computed energies accurately reflect the work done against gravitational forces.

Transcript

Please give Ace some feedback