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Syllabus

state and prove work-energy theorem.

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

Establish a relationship between g and G.

relation between escape velocity and orbital velocity

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}mA particle of mass 50g is kept on the surface of uniform sphere of mass 120kg and radius 50cm.Find the work to be done against the gravitational force between them to take the particle far away from the sphere.An artificial satellite is moving in a circular orbit around earth with a speed equal to half the magnitude of escape velocity from earth .1. Determine the hieght of the satellite above the earth's surface2.If the satellite is topped suddenly in its orbit and allowed to fall freely towards the earth, find the speed with which it hits the surface of the earth.

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

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

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.

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 earth’s radius.

what is stokes law ? What is terminal velocity?

An object of mass m is released from a point at a height H above the surface of the earth .show that it's velocity v when it strikes the earths surface is given by

v =[2GM(1/R-1/r)] race to 1/2 where M = mass of earth , R = radius of earth and r = R+H

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.

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 .....?(A) 3h + 4R (B) 3R + 4h

(C) 3(R +h) (D) none of these

^{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

derive an expression for orbital velocity of a satellite.

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 space shuttle releases 470kg communications satellite in an orbit 280 km above the surface of the earth. How much energy does the engine have to provide?

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.

the radii of the two planets are respectively R

_{1}and R_{2}and their densities are respectively rho_{1}and rho_{2}. what is the ratio of the acceleration due to gravity at their sufacesDraw graphs of showing the variation acceleration due to gravity with

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

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

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....?The saturn is abut six times farther the Sun then The Mars. Which planet has :

(A) the greater period of revolution

(B) the greater orbital speed and

(C) the greater angular speed ?

a) 0

b) -GM/2R

C) -3GM/2R

D) 3GM/2R

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)

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

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

differentiate geostationary satellite and polar satellite .

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.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.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?

^{2}/(R+h)^{2}where g'=acc due to gravity at a height h above the ground,g=acc due to gravity on earth and R is radius of the earth,if h is negligible compared to R, then how is g'=g(1-2h/R)(I) 48 N (II) 36 N (III) 16 N (IV) 9 N

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.

Pls explain systematically how to solve log 0.003056 and pls evaluate by explaining each step on how to solve this question , it will eof gret helpas no one in our school is ready to teach this nor the experts of mt have put up some videos

Simplify uSing log 27.36 X (0.3056)

^{1/3}DIVIDED BY 31.63 X 0.3026^{1/6}what is escape velocity?obtain the expression for the escape velocity on earth ?find escape velocity on the surface of the earth.

_{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.}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

plzzz reply fast-

at which height above the surface of earth the wt. of a person will be 1/4th of his wt. on earth surface??

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

what is momentum in physics?

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

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}.As we go near to the centre of the earth,the value of 'g' decreases.so at the centre of earth there will be no gravity.then why is gravity defined the the force between two bodies attracting towards their centres. if there is no gravvity at the centre then why is it pulling on the other body??

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 energyQ1 why is gravitational potential energy negative?

Q 2 does gravity have any effect on inertial mass??

Q 3 why there is no atmosphere on the surface of the moon??

what is nuclear force?