Chapter 13 : Gravitational Fields Flashcards

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1
Q

Gravitational Fields

A

A gravitational field is a region of space where a mass experiences a force.
Occurs due to the point mass.

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2
Q

Centre Of Mass

A

Point on a body where the whole mass is concentrated.

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3
Q

Uniform Gravitational Field ( g )

A

9.81 = g = F / m = GM / r2

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4
Q

Radial Field

A

Where g is not the same.

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5
Q

Field Line In Gravitational Field

A

Parallel

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6
Q

Radial Gravitational Field

A

g depends on the position of the object on the surface.

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7
Q

Universal Gravitational Constant ( G )

A

6.67 * 10^-11

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8
Q

Universal Gravitational Constant ( G )

A

Every point mass attracts the other point mass with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

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9
Q

F is ( where r is distance or separation between 2 bodies )

A

GMm / r^2

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10
Q

g in a radial field ( where M is the mass of the object )

A

GM / r^2

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11
Q

Escape velocity v by solving GMm / r = 1/2mv^2

A

√ 2GM / r

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12
Q

rw

A

√ GM / r

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13
Q

2πr / T

A

√ GM / r

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14
Q

Gravitational Potential ( Φ )

A

-GM / r

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15
Q

Gravitational Field Strength

A

The gravitational field strength at a point is defined as the ( force per unit mass )
acting on a small mass placed at that point.

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16
Q

Gravitational Field Lines

A

A gravitational field line is the direction of the gravitational force acting on a
point mass.

17
Q

Weight W

A

Mass * g

18
Q

Gravitational Potential

A

Gravitational potential at a point in a gravitational field is defined as the work
done per unit mass in bringing a small test mass from infinity to the point

19
Q

Gravitational Potential Energy

A

= mass × gravitational potential
= mΦ = −GMm/r
= Ep = −GMm/r