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PHYSICS > GRAVITATION > Flashcards

GRAVITATION Flashcards

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1
Q

G EQUALS

A

6.67 * 10^ -11

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2
Q

g EQUALS

A

GM/R^2 = 9.8

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3
Q

RADIUS OF EARTH

A

6400 KM

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4
Q

MASS OF EARTH

A

5.98 *10^ 24 Kg

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5
Q

g AT A HEIGHT H

A

GM/(R+H)^2 OR g(1- 2h/R) IF H«<R

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6
Q

g AT A DEPTH D

A

g(1- D/R)

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7
Q

VARIATION OF g WITH LATITUDE @ WHERE ANGULAR VELOCITY IS #

A

g(@) =g - r#^2 COS^2@

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8
Q

VARIATION OF g WITH SHAPE

A

gP > gE

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9
Q

GRAVITATIONAL INTENSITY

A

GM/R^2 (-r^)

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10
Q

I AND G RELATION AT A POINT

A

NUMERICALLY EQUAL

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11
Q

INTENSITY DUE A SOLID SPHERE OUTSIDE (r>R)

A

GM/r^2

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12
Q

INTENSITY DUE TO A SOLID SPHERE AT THE SURFACE (r=R)

A

GM/R^2

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13
Q

INTENSITY DUE TO A SOLID SPHERE INSIDE (r<R)

A

GMr/R^3 i.e I PROP TO r

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14
Q

INTENSITY DUE TO A SHELL OUTISIDE (r>R)

A

GM/r^2

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15
Q

INTENSITY DUE TO A SHELL AT THE SURFACE (r=R)

A

GM/R^2

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16
Q

INTENSITY DUE TO A SHELL INSIDE (r<R)

A

0

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17
Q

SUM OF AN INFINITE GP

A

a/1-r

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18
Q

UNIT OF INTENSITY

A

N/Kg

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19
Q

UNIT OF GRAVITATIONAL POTENTIAL

A

J/Kg scalar

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20
Q

V EQUALS

A

-GM/r AS r INCREASE V INCREASES

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21
Q

POTENTIAL DUE TO A SOLID SPHERE OUTSIDE (r> R)

A

-GM/r

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22
Q

POTENTIAL DUE TO A SOLID SPHERE AT THE SURFACE(r=R)

A

-GM/R

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23
Q

POTENTIAL DUE TO A SOLID SPHERE INSIDE (r<R)

A

-GM/2R^3 * (3R^2- r^2)

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24
Q

POTENTIAL DUE TO A SOLID SPHERE AT THE CENTER (r=0)

A

3/2 V AT SURFACE

25
Q

POTENTIAL DUE TO SHELL OUTSIDE (r>R)

A

-GM/r

26
Q

POTENTIAL DUE TO A SHELL AT THE SURFACE(r=R)

A

-GM/R

27
Q

POTENTIAL DUE TO A SHELL INSIDE (r<R)

A

-GM/R

28
Q

GRAVITATIONAL POTENTIAL ENERGY U

A

mV

29
Q

U OF A SYSTEM IS

A

WORK DONE TO ESTABLISH THE SYSTEM

30
Q

NO OF PAIRS FOR N PARTICLE SYSTEM

A

N(N-1)/2

31
Q

WORK DONE IN TERMS OF POTENTIAL ENERGY

A

Uf-UI

32
Q

WORK DONE TO LIFT A BODY TO HEIGHT H FROM SURFACE

A

mgRH/(R+H)

33
Q

TOTAL ENERGY NEGATIVE MEANS

A

IT IS BEING ATTRACTED

34
Q

ESCAPE VELOCITY

A

SQRT(2GM/R) OR SQRT (2gR)

35
Q

ESCAPE VELOCITY FOR EARTH

A

11.2 KM/S

36
Q

ESCAPE VELOCITY FOR MOON

A

2.3 KM/S

37
Q

VELOCITY OF BODY AT INFINITY IF IT IS PROJECTED WITH AN INITIAL VELOCITY V

A

SQRT(V^2 - Ve^2)

37
Q

VELOCITY OF BODY AT INFINITY IF IT IS PROJECTED WITH AN INITIAL VELOCITY V

A

SQRT(V^2 - Ve^2)

38
Q

ORBITAL VELOCITY

A

Sqrt (GM/(R+h))

39
Q

FIRST COSMIC VELOCITY

A

Sqrt(GM/R)= 1/√2 Ve

40
Q

SECOND COSMIC VELOCITY

A

ESCAPE VELOCITY

41
Q

TIME PERIOD OF A SATELLITE

A

2π√(R+h)³/√GM

42
Q

T⁰

A

2π√R/√g~85 mins

43
Q

TIME PERIOD AND ORBITAL VELOCITY IS INDEPENDENT OF

A

MASS OF SATELLITE

44
Q

KINETIC ENERGY OF SATELLITE

A

GMm/2(R+h)

45
Q

POTENTIAL ENERGY OF SATELLITE

A

-GMm/(R+h)

46
Q

REALTION BETWEEN TOTAL ENERGY, PE AND KE

A

TE =-KE=PE/2

47
Q

BINDING ENERGY

A

KINETIC ENERGY

48
Q

VELOCITY OF SATELLITE AT THE MOMENT OF ESCAPE

A

SQRT(2) V

49
Q

TORQUE OF PLANET DUE TO GRAVITY OF SUN

A

o

50
Q

dA/dt

A

L/2m constant

51
Q

L WRT LINEAR VELOCITY

A

mvrsin@

52
Q

Vmax/Vmin = rmax/rmin =

A

1+e/1-e

53
Q

RELATIVE VELOCITY OF APPROACH OF TWO PARTICLES AT INFINITY AT REST

A

SQRT(2G(M1+M2)/r)

54
Q

RELATION B/W I AND V

A

I= -dV/dr

55
Q

POTENTIAL DUE TO A RING AT AN AXIAL POINT

A

-GM/sqrt(R^2 + X^2)

56
Q

FIELD DUE TO A RING AT AN AXIAL POINT

A

-GMX/(R^2 + X^2)^3/2

57
Q

GRAVITATIONAL FLUX

A

-4PI G M

58
Q

ESCAPE VELOCITY FROM A BLACK HOLE

A

c

PHYSICS (5 decks)

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