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https://texercises.com/exercise/gravitational-potential/
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Exercise:
What is a em gravitational potential difference? Derive a formal expression for a uniform gravitational field.

Solution:
The em electric potential difference is defined as the work W_E done by the em electric field on a charged particle divided by the particle's charge q: Delta phi_E fracW_Eq For a gravitational field the mass of a test particle is responsible for the eraction in the gravitational field. We can therefore define the gravitational potential difference as the work W_G done by the gravitational field on a particle divided by the particle's mass m: Delta phi_G fracW_Gm In the case of a homogeneous gravitational field we know that the work is given by W_G m g h It follows for the gravitational potential difference: Delta phi_G fracm g hm g h This is similar to the result for a homogeneous electric field Delta phi_E E d.
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Exercise:
What is a em gravitational potential difference? Derive a formal expression for a uniform gravitational field.

Solution:
The em electric potential difference is defined as the work W_E done by the em electric field on a charged particle divided by the particle's charge q: Delta phi_E fracW_Eq For a gravitational field the mass of a test particle is responsible for the eraction in the gravitational field. We can therefore define the gravitational potential difference as the work W_G done by the gravitational field on a particle divided by the particle's mass m: Delta phi_G fracW_Gm In the case of a homogeneous gravitational field we know that the work is given by W_G m g h It follows for the gravitational potential difference: Delta phi_G fracm g hm g h This is similar to the result for a homogeneous electric field Delta phi_E E d.
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Electrostatics
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electrostatic, gravitation, potential
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(2, default)
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Language
ENG (English)
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Descriptive / Quality
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