Orbit of Artificial Satellites

Q.

The time period of a satellite in a circular orbit of radius $R$ is $T$. The period of another satellite in a circular orbit of radius $9R$ is

1. $3T$

2. $9T$

3. $27T$

4. $12T$

Q.

A particle on the Earth's surface is given a velocity equal to its escape velocity. Its total mechanical energy remains ___.

Q.

A uniform force of $4N$ acts on a body of mass $8kg$ for a distance of $2.0m.$The kinetic energy acquired by the body is

1. $8J$

2. $64J$

3. $4J$

4. $16J$

Q.

The orbital speed of a satellite is inversely proportional to radius of its orbit.

1. True
2. False

Q.

If $v_e$ and $v_o$ represent the escape velocity and orbital velocity of a satellite corresponding to a circular orbit of radius R, then

1. 

2. 

3. 

4. 

Q. Choose the correct statement.

1. An object's motion can be defined without considering observer.
2. In one dimensional motion particle is constrained to move in a plane.

3. The position of a point $x$ is the expression of its accurate location from a pre-chosen reference point called origin.

4. In one dimensional motion particle is constrained to move in a straight line and can't change its direction of motion.

Q.

If an object has zero momentum.........wh wh will be it's kinetic energy.........(can the velocity also never be 0)??????

Q.

The weight of an object is a constant quantity.

1. True
2. False

Q.

Find $\frac{v_e}{v_o}$ where
$v_e:$ Escape velocity of satellite at the surface of earth.
$v_o:$ Orbital velocity of satellite orbiting at the surface of earth.

1. 
2. 
3. 
4. 

Q.

The escape velocity at the surface of earth can be expressed as:
$v_e=\sqrt{\frac{2GM}{R}}$.

1. True

2. False

Q.

It is necessary that the plane of the orbit of a satellite must contain the center of the Earth.

1. True
2. False

Q.

How many laws of conservation are there universally?

Q. The minimum and maximum distances of a satellite from the centre of the Earth are 2R and 4R respectively, where R is the radius of Earth and M is the Earth.Find radius of curvature at the point of the minimum distance.

Q. The minimum distance of a satellite from the centre of the earth is 3R, where R is the radius of 2GM What is the earth. The mass of earth is M. The maximum speed of the satellite is $\sqrt{\frac{2GM}{3R}}$ radius of curvature at the point of minimum distance?

1. 6 R
2. 4 R
3. 3 R
4. $\frac{9R}{2}$

Q.

Can a body have mass but no weight? Give reasons to your answer.

Q. An artificial satellite is moving in a circular orbit around the earth with a speed equal to half the magnitude of escape velocity from the surface of earth. (Radius of earth $=6400km)$. Determine the height of the satellite above the earth's surface.

Q. Q ​A body of mass 60 kg has the momentum 3000 kg m/s. Calculate the kinetic energy of the body.

Q.

A thin girl & a fat man have same momentum. Which of the 2 have a greater KE? If the ratio of their masses is 2:5, calculate the ratio of the KE of the man to that of the girl?

1. Girl has greater KE and ratio of KE’s is 5:2

2. Girl has greater KE and ratio of KE’s is 2:5

3. Boy has greater KE and ratio of KE’s is 2:5

4. Boy has greater KE and ratio of KE’s is 5:2

5. Boy has greater KE and ratio of KE’s is 25:4

Q. What are the conditions under which a rocket, fired from the earth, launches an artificial satellite of the earth?

Q. Calculate the escape velocity of a body from the surface of the earth.
[Given:$G=6.67\times {10}^{-11}N{m}^2/k{g}^2,R=6400km,g=9.8m.s^2]$

Q.

A meteorite of mass 5 kg has a velocity of 2 m/s. A lighter meteorite of mass 2 kg has the same momentum. Calculate the i) KE of the heavier meteorite and (ii) the lighter meteorite respectively are:

1. 10 joule , 25 joule

2. 15 joule, 21 joule

3. 18 joule, 29 joule

4. 13 joule, 27 joule

Q. A rocket is launched vertical from the surface of the earth o radius R with an initial speed v. If atmospheric resistance is neglected , the maximum height attained by the rocket is

1. $h=\frac{R}{(\frac{2gR}{v^2}-1)}$
2. $h=\frac{R}{(\frac{2gR}{v^2}+1)}$
3. $h=\frac{R^2}{(\frac{2gR}{v^2}-1)}$
4. $h=\frac{R^2}{(\frac{2gR}{v^2}+1)}$

Q. If due to any reason, the orbital speed of a satellite increases $41.4\%$. Then in this situation would the satellite escape? Explain.

Q.

A satellite orbiting about Earth does not fall down because of ___________.

1. provides the necessary accelaration for its motion along the circular path

2. Is balanced by the gravitational pull of moon

3. Is balanced by the gravitational pull os sun

4. Makes it weightless

Q. A geostationary satellite is revolving around the earth. To make it escape from gravitational field of the earth, its velocity must be increased by

1. 21.3%
2. 41.4%
3. 75.3%
4. 100%

Q. What should be the firing angle for a body to escape from the earth?

1. ${90}^{\circ }$
2. $0^{\circ }$
3. Any angle
4. ${45}^{\circ }$

Q. ENERGY OF AN ORBITING SATELLITE
In motion of an object under the gravitational influence of another object. Which of the following quantities is not conserved?

1. Total mechanical energy
2. Angular momentum
3. mass of an object
4. Linear momentum

Q.

A particle on the Earth's surface is given a velocity equal to its escape velocity. Its total mechanical energy remains ___.

Q.

Two earth-satellites are revolving in the same circular orbit around the center of Earth. They must have the same ___ .

1. Velocity

2. energy

3. mass

4. velocity

Q. Which has longer period of revolution, a satellite revolving close or away from the surface of earth?