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Syllabus

state and prove work-energy theorem.

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

Establish a relationship between g and G.

relation between escape velocity and orbital velocity

what is the moment of inertia of a sphere of mass 20 kg and radius 1/4m about its diameter?

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

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

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

a body weighs 300 N on the earth's surface. what is its weight at a depth of 1/3rd of radius of earth?

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

$\left(1\right)\frac{x}{2\sqrt{2}}hrs\phantom{\rule{0ex}{0ex}}\left(2\right)\frac{x}{\sqrt{2}}hrs\phantom{\rule{0ex}{0ex}}\left(3\right)\sqrt{2}xhrs\phantom{\rule{0ex}{0ex}}\left(4\right)\frac{x}{2}hrs$

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.

why does 1kg mass of salt weigh more at poles and less at equator????

^{-3 },find the value of acceleration due to gravity on its surface. Given that gravitational constant, G=6.66 * 10^{-11}N m^{2}kg^{-2}. Dear meritnation ,can u please solve this sum step by step b coz i don't know how to solve it?what is stokes law ? What is terminal velocity?

how is GM=gR^2?

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.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..

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.

What will be the gain in potential energy of a body of mass m at a height equal to three times the radius R of the earth?

1. mgR 2. 2mgR

3. (mgR)/3 4. (3mgR)/4

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 .....?halley's comet has a period of 76 years and in 1986 had a distance of closest approach to the sun equal to 8.9*10^{10}m.the comets farthest distance from the sun is the mass of the sun is 2*10^{30}kg in MKSunits.a)2.7*10^{12}mb(2.7*10^{13}mc)5.3*10^{12}md)5.3*10^{13}mThree stars of mass M and radius R are initially at rest and the distace between centres of any two stars is d and they from an equilateral triangle. They start moving towards the centroid due to mutual force of attraction. What are the velocities of the stars just before collision ?

^{4}km then find the angular speed of 'B' with respect to A ?While considering the motion of an object under the gravitational influence of another object, which of the following quantities are conserved. (a) angular momentum (b) linear momentum (c) total mechanical energy

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 the maximum value gravitational potential and where??

_{min}=3-Ncostheta so that A does not slip during the motion of mass B. then calculate the value of Nderive 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.

weight 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

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?

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

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.

_{0}. The potential at a point distance half the radius of earth from the centre will be.$\left(1\right)\frac{11}{4}{V}_{0}\phantom{\rule{0ex}{0ex}}\left(2\right)\frac{{V}_{0}}{2}\phantom{\rule{0ex}{0ex}}\left(3\right)2{V}_{0}\phantom{\rule{0ex}{0ex}}\left(4\right)\frac{11}{8}{V}_{0}$

Draw graphs of showing the variation acceleration due to gravity with

does a pinhole camera form an image or a shadow of an object?

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

two small spherical bodies of mass 50 kg n 5000 kg hve centre to centre sepration 11m .at what distance frm the smaller body the intensity of gravitational field is zero.???

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....?what are the conclusions of newton's law from kepler's law???????

a) 0

b) -GM/2R

C) -3GM/2R

D) 3GM/2R

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.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)

What are the factors affecting value of G .

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

(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

differentiate geostationary satellite and polar satellite .

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.

(a) the ratio of their accelerations during their motion

(b) their velocities at the time of impact.

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?

mass 7.2 kgis launched from the surface of the earth to acircular orbit at a height of 350 km from the surface. In doing so, find thechange in mechanical energyof the ball.(Please explain properly)

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

particle of mass m_{1 }liesinside aat aspherical shellof mass m_{2 }and radius Rdistance of r from the centre. Find thegravitational potential energy of the system.(Please explain properly and the answer given is (-Gm

_{1}m_{2})/R.)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

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

Find the kinetc energy of a system of four particles placed at the vertices of a square of side l. Also obtain the kinetic energy at the centre of the square.

_{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.}2 bodies of mass m

_{1 }m_{2 }are placed distance R apart. Show that the positions where the gravitation field due to them is 0. The potential is given by -G(m_{1 }+ m_{2}) + 2 (m_{1}m_{2})^{1/2}/Rtwo 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

A small body starts falling onto the Sun from a distance equal to the radius of the Earth's Orbit .The initial velocity of the body is equal to 0 in the heliocentric reference frame .Find the time taken by the body to fall into the sun .Ans=64.5 daysState and prove kepler's third law of planetary motion by assuming the orbit to be circular

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

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