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CBSE - Class 11 > Physics > Gravitation Worksheets

Free CBSE - Class 11 Physics - Gravitation worksheets

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1.
How will you ‘weigh the sun’, that is estimate its mass? The mean orbital radius of the earth around the sun is $1.5 \times 10^8$ km.
2.
A saturn year is 29.5 times the earth year. How far is the saturn from the sun if the earth is $1.50 \times 10^8$ km away from the sun ?
3.
A body weighs 63 N on the surface of the earth. What is the gravitational force on it due to the earth at a height equal to half the radius of the earth ?
4.
Assuming the earth to be a sphere of uniform mass density, how much would a body weigh half way down to the centre of the earth if it weighed 250 N on the surface ?
5.
A rocket is fired vertically with a speed of 5 km s$^{-1}$ from the earth’s surface. How far from the earth does the rocket go before returning to the earth ? Mass of the earth = $6.0 \times 10^{24}$ kg; mean radius of the earth = $6.4 \times 10^6$ m; G = $6.67 \times 10^{–11}$ N m$^2$ kg$^{–2}$.
6.
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.
7.
A satellite orbits the earth at a height of 400 km above the surface. How much energy must be expended to rocket the satellite out of the earth’s gravitational influence? Mass of the satellite = 200 kg; mass of the earth = $6.0 \times 10^{24}$ kg; radius of the earth = $6.4 \times 10^6$ m; G = $6.67 \times 10^{–11}$ N m$^2$ kg$^{–2}$.
8.
Two stars each of one solar mass (= $2 \times 10^{30}$ kg) are approaching each other for a head on collision. When they are a distance $10^9$ km, their speeds are negligible. What is the speed with which they collide ? The radius of each star is $10^4$ km. Assume the stars to remain undistorted until they collide. (Use the known value of G).
9.
Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centres of the spheres ? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable ?
10.
A comet orbits the sun in a highly elliptical orbit. Does the comet have a constant (b) angular speed, throughout its orbit? Neglect any mass loss of the comet when it comes very close to the Sun.
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Chapters in CBSE - Class 11 Physics

Kinetic Theory Worksheet Laws of Motion Worksheet Mechanical Properties of Fluids Worksheet Mechanical Properties of Solids Worksheet Motion in a Plane Worksheet Motion in a Straight Line Worksheet Oscillations Worksheet Physical World Worksheet System of Particles and Rotational Motion Worksheet Thermal Properties of Matter Worksheet Thermodynamics Worksheet Units and Measurements Worksheet Waves Worksheet Work Worksheet

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