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Syllabus

state and prove work-energy theorem.

Establish a relationship between g and G.

when an apple falls towards the earth ,the earth ,moves up to meet the apple . WHY?

relation between escape velocity and orbital velocity

What is the ratio of force of attraction between the two bodies kept in air and the same distance in water?

Find the potential energy of a system of four particles placed at the vertices of a square of side L. also obtain the potential at the centre of the square

if earth were suddenly shrink to half of its present radius without change in mass,what is the effect on duration of days?

what is escape velocity?obtain the expression for the escape velocity on earth ?find escape velocity on the surface of the earth.

where is the value of g maximum and minimum at the surface of earth

prove that the distance we have to cover into the earth below its surface is twice the distance we have to cover above the surface to get the same change in g.

What will be the value of g at the bottom of a sea 7km deep? Radius of Earth is 6400km and g value on the surface is 9.8 m/s

^{2}.How much above the surface of earth does the acceleration due to gravity reduces by 36% of its value on the suraface of earth. Radius of earth = 6400 km.

what is stokes law ? What is terminal velocity?

The gravitational field in a region is given by E=(2i^+3j^)N/Kg.Show that no work is done by the gravitational field when a particle is moved on the line 3y+2x=5.Find the potential energy of a system of four particles placed at the vertices of a square of side l. Also obtain the potential at the centre of the square.

Briefly explain the principle of launching an artificial satellite. Explain the

A particle is projected vertically up with velocity v=(4gRe/3)

^{1/2 }from earth surface. The velocity of particle at height equal to half of the maximum height reached by it .....?^{4}km then find the angular speed of 'B' with respect to A ?if radius of earth contracted by 0.1%, its mass remaining same, then weight of the body at earth's surface will increase by

a 0.1%

b 0.2%

c 0.3%

d Remains same

with reason

what is gravitational field strength of a planet ? where the weight 60 kg attronomes is 300 N ?

Q1 . if earth has a mass 9 times and radius 2 times that of mars , calculate the minimum speed required by a rocket to pull out of gravitational force of mars .take the escape speed on the surface of earth to be 11.2 km/s

derive an expression for orbital velocity of a satellite.

A man can jump 1.5 m high on the earth. Calculate the approximate height he might be able to jump on a planet whose density is one-quarter of the earth and the radius is one-third of the earthâ€™s radius.

TWO MASSES OF 800KG AND 600 KG ARE AT A DISTANCE 0.25M APART. COMPUTE THE MAGNITUDE OF INTENSITY OF GRAVITATIONAL FIELD AT A POINT DISTANCE 0.20M FROM 800KG MAS AND 0.15 M RFOM 600KG MASS.

what is the difference between kgf and kg wt

If the radius of Earth shrinks by 1.5%, mass remaining the same, then how would the value of acceleration due to gravity change?

(1) Fall back on surface of earth by following parabolic path

(2) Fall back on surface of earth by following hyperbolic path

(3) Start rotating around earth in a circular orbit

(4) Escape from gravitational field of earth

The escape velocity (v ) of a body depends upon the mass (m) of body, gravitational

acceleration (g) and radius(R) of the planet .Derive the relation for escape velocity

dimensionally.

Show graphically how the acceleration due to gravity varies as we move from centre of earth to a great height above the surface.

Draw graphs of showing the variation acceleration due to gravity with

a rocket is launched vertically from the surface of the earth with initial speed of 10 km/s . how far above the earth's surface will the rocket go?

^{3}kg from a circular orbit of radius 2R to that of radius 3R. Given mass of earth, M=6x10^{24}kg and radius of earth, R=6.4x10^{6}mweight of a body decreases by 1.5%, when it is raised to a height h above the surface of earth. when the same body is taken to same depth h in a mine, its weeight will show

a 0.75% increase

b 0.75% decrease

c 3.0% decrease

d 1.5% decrease

Four particles A,B,C and D each of mass m are kept at the corners of a square of side L. Now the particle D is taken to infinity by an external agent keeping the other particles fixed at their respective positions. The work done by the gravitational force acting on the particle during its movement is....?a) 0

b) -GM/2R

C) -3GM/2R

D) 3GM/2R

A rocket is fired with a velocity 0.6 times the escape velocity on the surface of earth.How high will it go from the surface?

Two uniform solid spheres of equal radii R, but mass M & 4M have a centre to centre separation 6R. The two spheres are held fixed. A projectile of mass m is projected frm the surface of the sphere of mass M directly towrds the centre of the second sphere. Obtain an expression for the minimum speed v of the projectile so that it reaches the surface of the second sphere.

(diagram of que. is given in the textbook eg.8.4 pg 193)

An artificial satellite of mass 1000 kg revolves around the earth in circular orbit of radius 6500Km.Calculate(a) Orbital velocity. (b) Orbital Kinetic energy (c) Gravitational potential energy. (d) Total energy in the orbit.Experts..plz help

NO LINKS PLZZ..

At what height above earth's surface, value of g is same as in a mine 100km deep?

_{e}= 6400 Km).(1) 6400 Km

(2) 57600 Km

(3) 2560 Km

(4) 6400 Km

How far from Earth must a body be along a line towards the Sun so that sun's gravitational pull on it balances that of Earth. Distance between Sun and Earth's center is 1.5*10

^{10}km. Mass of Sun is 3.24*10^{5}times mass of Earth.differentiate geostationary satellite and polar satellite .

a) { 1 - (ρ /σ ) } m g b){ (σ /ρ ) - 1 } m g c) (ρ /σ ) m g d)(σ /ρ ) m g

kinetic/potential energy.

Answer:

(a) Kinetic energy

(a) Total mechanical energy of a satellite is the sum of its kinetic energy (always positive) and potential

energy (may be negative). At infinity, the gravitational potential energy of the satellite is zero. As the

Earthsatellite system is a bound system, the total energy of the satellite is negative.

Thus, the total energy of an orbiting satellite at infinity is equal to the negative of its kinetic energy.

please explain this in a better way ,may be diagrammatically. i did not understood this answer.The escape speed of a projectile on the earth’s surface is 11.2 km s

^{–1}. A body is projected out with thrice this speed. What is the speed of the body far away from the earth? Ignore the presence of the sun and other planets.An object of mass m is raised from the surface of the earth to a height equal to the radius of the earth, that is taken from R to 2R from the centre of the earth. What is the gain in potential energy?

(1) Move around planet in circular orbit

(2) Move around planet in elliptical orbit

(3) Escape out with minimum speed

(4) Escape out with speed greater than escape velocity

a spherical massof 20kg lying on the earth's surface is attracted by another spherical mass of 250kg with a force equal to the weight of 0.25mg wt.the centers of the two masses are 30cm apart. calculate.the mass oeartf earth.radius of earth 6000km.

(I) 48 N (II) 36 N (III) 16 N (IV) 9 N

find the percent decrease in weight of the body when it is taken to a height of 32 km above the surface of the earth. radius of the earth is 6400km.

1. State Newton's law of gravitation. Hence define universal gravitational constant. Give thevalue and dimensions of G.

2. Define acceleration due to gravity. Show that the value of 'g' decreases with altitude or height.

3. Discuss the variation of ‘g' with depth. What happens to 'g' at the centre of earth?

4. Write down the formula of gravitational potential energy and obtain from it an expression for

gravitational potential.

5. What do you mean by gravitational potential energy of a body? Obtain an expression for it for

a body of mass m lying at distance r from the centre of the earth.

6. Define the term orbital speed. Establish a relation for orbital speed of a satellite orbiting very

close to the surface of the earth. Find the ratio of this orbital speed and escape speed.

7. What are geostationary satellites? Calculate the height of the orbit above the surface of the

earth in which a satellite, if placed, will appear stationary.

8. State Kepler's law of planetary motion.

9. What is a polar satellite? Explain how does it scan the entire earth in its each revolution? Give

two important uses of a polar. Satellite.

10. What do you mean by the term weightlessness? Explain the state of weightlessness of (i) a freely falling body (ii) an astronaut in a satellite orbiting the earth.

11. Obtain an expression for the acceleration due to gravity on the surface of the earth in terms of mass of the earth and its radius. Discuss the variation of acceleration due to gravity with

altitude and depth.

12. State the conditions necessary for a satellite to appear stationary.

_{1}and r_{2}respectively. The time period of the planet is proportional to:-a) r

_{1}^{3}^{/2}b) r

_{2}^{3}^{/2}c) (r

_{1}+ r_{2})^{3/2}d) (r

_{1}- r_{2})^{3/2 Kindly answer sir/mam.}what is the maximum value gravitational potential and where??

two point objects of mass 2x and 3x are separated by a distance r . keeping the distance fixed how much mass should be transferred from 3x to 2x so gravitaional force between them becomes maximum

State and prove kepler's third law of planetary motion by assuming the orbit to be circular

^{3}from the surface of which you could barely throw a golf-ball and have it never back( Assume your best throw is 40 m/s).If the acceleration due to gravity at the surface of the earth is g ,the work done in slowly lifting a body of mass m from the earths surface to a height R equal to the radius of the earth is.

a)1/2mgr

b)2mgr

c)mgr

d)none of these

A space vehicle of mass m is in a circular orbit of radius 2R

_{e}about the earth (mass m_{e}). What is the work done by an external agent to transfer it to an orbit of radius 4R_{e}.A 400 KG SATELLITE IS IN A CIRCULAR ORBIT OF RADIUS 2Re ABOUT THE EARTH. HOW MUCH ENERGY IS REQUIRED TO TRANSFER IT TO A CIRCULAR ORBIT AF RADIUS 4Re ? what are the changes in the kinetic energy and potential energy