Energy in Gravitational Fields (HSC SSCE Physics): Flashcards

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Energy in Gravitational Fields
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Gravitational PE formula for masses MM, mm at distance rr

U=GMmrU = -\frac{GMm}{r}

Why is gravitational PE negative for bound systems?

PE less than zero reference point at infinite separation

Zero point of gravitational PE

At infinite separation (r=r = \infty), U=0U = 0

Binding energy definition

Energy needed to completely separate two masses

Total orbital energy formula

Etotal=GMm2rE_{\text{total}} = -\frac{GMm}{2r}

Relationship between total, potential, and kinetic energy

Etotal=U2=KE_{\text{total}} = \frac{U}{2} = -K

What happens to PE and KE when objects move closer?

PE decreases (more negative), KE increases

Escape velocity formula

vesc=2GMrv_{\text{esc}} = \sqrt{\frac{2GM}{r}}

Escape velocity from Earth's surface (km/s)

Approximately 11.2 km/s

Does escape velocity depend on the escaping object's mass?

No, only on central body's mass and distance

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