GRAVITATION

Question 1

G EQUALS

Answer 1

6.67 * 10^ -11

Question 2

g EQUALS

Answer 2

GM/R^2 = 9.8

Question 3

RADIUS OF EARTH

Answer 3

6400 KM

Question 4

MASS OF EARTH

Answer 4

5.98 *10^ 24 Kg

Question 5

g AT A HEIGHT H

Answer 5

GM/(R+H)^2 OR g(1- 2h/R) IF H«<R

Question 6

g AT A DEPTH D

Answer 6

g(1- D/R)

Question 7

VARIATION OF g WITH LATITUDE @ WHERE ANGULAR VELOCITY IS #

Answer 7

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

Question 8

VARIATION OF g WITH SHAPE

Answer 8

gP > gE

Question 9

GRAVITATIONAL INTENSITY

Answer 9

GM/R^2 (-r^)

Question 10

I AND G RELATION AT A POINT

Answer 10

NUMERICALLY EQUAL

Question 11

INTENSITY DUE A SOLID SPHERE OUTSIDE (r>R)

Answer 11

GM/r^2

Question 12

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

Answer 12

GM/R^2

Question 13

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

Answer 13

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

Question 14

INTENSITY DUE TO A SHELL OUTISIDE (r>R)

Answer 14

GM/r^2

Question 15

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

Answer 15

GM/R^2

Question 16

INTENSITY DUE TO A SHELL INSIDE (r<R)

Answer 16

0

Question 17

SUM OF AN INFINITE GP

Answer 17

a/1-r

Question 18

UNIT OF INTENSITY

Answer 18

N/Kg

Question 19

UNIT OF GRAVITATIONAL POTENTIAL

Answer 19

J/Kg scalar

Question 20

V EQUALS

Answer 20

-GM/r AS r INCREASE V INCREASES

Question 21

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

Answer 21

-GM/r

Question 22

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

Answer 22

-GM/R

Question 23

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

Answer 23

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

Question 24

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

Answer 24

3/2 V AT SURFACE

Question 25

POTENTIAL DUE TO SHELL OUTSIDE (r>R)

Answer 25

-GM/r

Question 26

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

Answer 26

-GM/R

Question 27

POTENTIAL DUE TO A SHELL INSIDE (r

Answer 27

-GM/R

Question 28

GRAVITATIONAL POTENTIAL ENERGY U

Answer 28

mV

Question 29

U OF A SYSTEM IS

Answer 29

WORK DONE TO ESTABLISH THE SYSTEM

Question 30

NO OF PAIRS FOR N PARTICLE SYSTEM

Answer 30

N(N-1)/2

Question 31

WORK DONE IN TERMS OF POTENTIAL ENERGY

Answer 31

Uf-UI

Question 32

WORK DONE TO LIFT A BODY TO HEIGHT H FROM SURFACE

Answer 32

mgRH/(R+H)

Question 33

TOTAL ENERGY NEGATIVE MEANS

Answer 33

IT IS BEING ATTRACTED

Question 34

ESCAPE VELOCITY

Answer 34

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

Question 35

ESCAPE VELOCITY FOR EARTH

Answer 35

11.2 KM/S

Question 36

ESCAPE VELOCITY FOR MOON

Answer 36

2.3 KM/S

Question 37

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

Answer 37

SQRT(V^2 - Ve^2)

Question 37

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

Answer 37

SQRT(V^2 - Ve^2)

Question 38

ORBITAL VELOCITY

Answer 38

Sqrt (GM/(R+h))

Question 39

FIRST COSMIC VELOCITY

Answer 39

Sqrt(GM/R)= 1/√2 Ve

Question 40

SECOND COSMIC VELOCITY

Answer 40

ESCAPE VELOCITY

Question 41

TIME PERIOD OF A SATELLITE

Answer 41

2π√(R+h)³/√GM

Question 42

T⁰

Answer 42

2π√R/√g~85 mins

Question 43

TIME PERIOD AND ORBITAL VELOCITY IS INDEPENDENT OF

Answer 43

MASS OF SATELLITE

Question 44

KINETIC ENERGY OF SATELLITE

Answer 44

GMm/2(R+h)

Question 45

POTENTIAL ENERGY OF SATELLITE

Answer 45

-GMm/(R+h)

Question 46

REALTION BETWEEN TOTAL ENERGY, PE AND KE

Answer 46

TE =-KE=PE/2

Question 47

BINDING ENERGY

Answer 47

KINETIC ENERGY

Question 48

VELOCITY OF SATELLITE AT THE MOMENT OF ESCAPE

Answer 48

SQRT(2) V

Question 49

TORQUE OF PLANET DUE TO GRAVITY OF SUN

Answer 49

o

Question 50

dA/dt

Answer 50

L/2m constant

Question 51

L WRT LINEAR VELOCITY

Answer 51

mvrsin@

Question 52

Vmax/Vmin = rmax/rmin =

Answer 52

1+e/1-e

Question 53

RELATIVE VELOCITY OF APPROACH OF TWO PARTICLES AT INFINITY AT REST

Answer 53

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

Question 54

RELATION B/W I AND V

Answer 54

I= -dV/dr

Question 55

POTENTIAL DUE TO A RING AT AN AXIAL POINT

Answer 55

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

Question 56

FIELD DUE TO A RING AT AN AXIAL POINT

Answer 56

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

Question 57

GRAVITATIONAL FLUX

Answer 57

-4PI G M

Question 58

ESCAPE VELOCITY FROM A BLACK HOLE

Answer 58

c