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1.

A rocket ship is coasting toward a planet. Its captain wishes to know the value of g at the surface of the planet. This may be inferred by: A. measuring the apparent weight of one of the crew B. measuring the apparent weight of an object of known mass in the ship C. measuring the diameter of the planet D. measuring the density of the planet E. observing the ship’s acceleration and correcting for the distance from the center of the planet.

Answer»

E. observing the ship’s acceleration and correcting for the distance from the center of the planet.

2.

The distance of a geostationary  satellites  from the centre of the earth ( radius = 6400 km) is nearest  toA) 5RB)7RC)10RD) 18R

Answer»

The correct option is (B) 7R

Explanation:

We know that distance of geostationary satellite from the surface of earth is 36000 km. 

The radius of earth is 6400 km. 

Therefore, distance of geostationary satellite from the centre of earth = 36000+6400=42400 km

Therefore, 6400 x D = 42400

or, D = 42400/6400 = 6.6 R

or, D = 7 R

3.

If Earth were to rotate only 100 times per year about its axis: A. airplanes flying west to east would make better time B. we would fly off Earth’s surface C. our apparent weight would slightly increase D. Earth’s atmosphere would float into outer space E. our apparent weight would slightly decrease 

Answer»

C. our apparent weight would slightly increase

4.

The mass density of a certain planet has spherical symmetry but varies in such a way that the mass inside every spherical surface with center at the center of the planet is proportional to the radius of the surface. If r is the distance from the center of the planet to a point mass inside the planet, the gravitational force on the mass is: A. not dependent on r B. proportional to r2 C. proportional to r D. proportional to 1/r E. proportional to 1/r2

Answer»

D. proportional to 1/r

5.

An astronaut in an orbiting spacecraft feels “weightless” because she: A. is beyond the range of gravity B. is pulled outward by centrifugal force C. has no acceleration D. has the same acceleration as the spacecraft E. is outside Earth’s atmosphere

Answer»

D. has the same acceleration as the spacecraft

6.

The magnitude of the acceleration of a planet in orbit around the Sun is proportional to: A. the mass of the planet B. the mass of the Sun C. the distance between the planet and the Sun D. the reciprocal of the distance between the planet and the Sun E. the product of the mass of the planet and the mass of the Sun

Answer»

B. the mass of the Sun

7.

A particle might be placed 1. inside a uniform spherical shell of mass M, but not at the center 2. inside a uniform spherical shell of mass M, at the center 3. outside a uniform spherical shell of mass M, a distance r from the center 4. outside a uniform solid sphere of mass M, a distance 2r from the center Rank these situations according to the magnitude of the gravitational force on the particle, least to greatest. A. All tie B. 1, 2, 3, 4 C. 1 and 2 tie, then 3 and 4 tie D. 1 and 2 tie, then 3, then 4 E. 1 and 2 tie, then 4, then 3

Answer»

D. 1 and 2 tie, then 3, then 4 

8.

Earth exerts a gravitational force on the Moon, keeping it in its orbit. The reaction to this force, in the sense of Newton’s third law, is: A. the centripetal force on the Moon B. the nearly circular orbit of the Moon C. the gravitational force on Earth by the Moon D. the tides due to the Moon E. the apple hitting Newton on the head. 

Answer»

C. the gravitational force on Earth by the Moon

9.

Given the perihelion distance, aphelion distance, and speed at perihelion of a planet, which of the following CANNOT be calculated? A. The mass of the star B. The mass of the planet C. The speed of the planet at aphelion D. The period of orbitE. The semi major axis of the orbit

Answer»

B. The mass of the planet

10.

Consider the statement: “Earth moves in a stable orbit around the Sun and is therefore in equilibrium”. The statement is: A. false, because no moving body can be in equilibrium B. true, because Earth does not fall into or fly away from the Sun C. false, because Earth is rotating on its axis and no rotating body can be in equilibrium D. false, because Earth has a considerable acceleration E. true, because if it were not in equilibrium then buildings and structures would not be stable

Answer»

D. false, because Earth has a considerable acceleration

11.

The elliptical orbit of a planet around the Sun is shown on the diagram. Which of the following statements is true?A. the eccentricity of the orbit is less than zero B. the eccentricity of the orbit is greater than 1 C. the sun might be at point C D. the sun might be at point D E. the sun might be at point B

Answer»

E. the sun might be at point B 

12.

An astronaut finishes some work on the outside of his satellite, which is in circular orbit around Earth. He leaves his wrench outside the satellite. The wrench will: A. fall directly down to Earth B. continue in orbit at reduced speed C. continue in orbit with the satellite D. fly off tangentially into space E. spiral down to Earth 

Answer»

C. continue in orbit with the satellite

13.

In the formula F = Gm1m2/r2, the quantity G: A. depends on the local value of g B. is used only when Earth is one of the two massesC. is greatest at the surface of Earth D. is a universal constant of nature E. is related to the Sun in the same way that g is related to Earth

Answer»

D. is a universal constant of nature

14.

Planet 1 and planet 2 are both in circular orbits around the same central star. The orbit of planet 2 has a radius that is much larger than the radius of the orbit of planet 1. This means that: A. the period of planet 1 is greater than the period of planet 2 and the speed of planet 1 is greater than the speed of planet 2 B. the period of planet 1 is greater than the period of planet 2 and the speed of planet 1 is less than the speed of planet 2 C. the period of planet 1 is less than the period of planet 2 and the speed of planet 1 is less than the speed of planet 2 D. the period of planet 1 is less than the period of planet 2 and the speed of planet 1 is greater than the speed of planet 2 E. the planets have the same speed and the same period

Answer»

D. the period of planet 1 is less than the period of planet 2 and the speed of planet 1 is greater than the speed of planet 2

15.

A small satellite is in elliptical orbit around Earth as shown. If L denotes the magnitude of its angular momentum and K denotes kinetic energy:A. L2 > L1 and K2 > K1 B. L2 > L1 and K2 = K1 C. L2 = L1 and K2 = K1 D. L2 < L1 and K2 = K1 E. L2 = L1 and K2 > K1

Answer»

E. L2 = L1 and K2 > K1

16.

An artificial Earth satellite is moved from a circular orbit with radius R to a circular orbit with radius 2R. During this move: A. the gravitational force does positive work, the kinetic energy of the satellite increases, and the potential energy of the Earth-satellite system increases B. the gravitational force does positive work, the kinetic energy of the satellite increases, and the potential energy of the Earth-satellite system decreases C. the gravitational force does positive work, the kinetic energy of the satellite decreases, and the potential energy of the Earth-satellite system increases D. the gravitational force does negative work, the kinetic energy of the satellite increases, and the potential energy of the Earth-satellite system decreases E. the gravitational force does negative work, the kinetic energy of the satellite decreases, and the potential energy of the Earth-satellite system increases

Answer»

E. the gravitational force does negative work, the kinetic energy of the satellite decreases, and the potential energy of the Earth-satellite system increases

17.

Two planets are orbiting a star in a distant galaxy. The first has a semi major axis of 150 × 106 km, an eccentricity of 0.20, and a period of 1.0 Earth years. The second has a semi major axis of 250 × 106 km, an eccentricity of 0.30, and a period of: A. 0.46 Earth years B. 0.57 Earth years C. 1.4 Earth years D. 1.8 Earth years E. 2.2 Earth years

Answer»

E. 2.2 Earth years

18.

In planetary motion the line from the star to the planet sweeps out equal areas in equal times. This is a direct consequence of: A. the conservation of energy B. the conservation of momentum C. the conservation of angular momentum D. the conservation of massE. none of the above

Answer»

C. the conservation of angular momentum

19.

The weight of object in the coal mine ,sea level , at the top of the mountain are w1, w2, w3 respectively,  thenA w1w3B ) w1=w2=w3C) w1w3

Answer»

At the surface of the earth, the value of g=9.8m/s2.

If we go towards the centre of earth or we go above the surface of earth, then in both the cases the value of g decreases.

Hence W1 = mgcoal mine

W2 = mgsea level

W3 = mgmountain

So, W1<W2>W3 (since g at sea level = g at the surface of earth)

20.

If both the mass and radius  of the earth decrease by 1%, then the value of the accelaration  due to gravity  willA ) decrease  by 1%B) increase by 1%C) increase by 2%D ) remains unchanged

Answer»

B) increase by 1% is correct.

Explanation: The acceleration due to gravity is given by

g = GM/R2

If both M and R decrease by 1% then their values will become 0.99 M and 0.99 R respectively and the acceleration due to gravity will become

g' = Gx0.99M/(0.99R)2 = 1.01GM/R2

= 1.01g

i.e the value of g will increase by 1%.

21.

Two balls of same size but the density if one is greater  than that of the other are dropped from the same height , then which ball will reach the earth first (neglect air resistance)  A) heavy ball B) light ballC) both simultaneously D )  will depend upon the density of ball

Answer» option is
C) both simultaneously