Gravity Numerical

Gravity Numerical                                                                          Class-10

Formula

1.   F = Gm₁m₂/d²                               F = GMm/R²

2.   g = GM/R²                                     g’ = GM/(R+h)²

3.   g/g’ = (R+h)²/R²                           g a 1/R²

4.   F = mg

5.   F a m₁m₂                                       F a 1/R₂

1.      What is the change in the gravitational force between two bodies if the distance between the centre of them is halved, keeping their masses constant? Calculate.

2.      Find out the change in gravitational force between two bodies of fixed mass, when placed at double distance.

3.      What change occurs in the gravitational force between two bodies when mass of each is made doubled and distance between their centers is halved? Calculate.

4.      How does the gravitational force between two bodies change if the distance between them is tripled? Calculate.

5.      The gravitational force between two objects is F. How will the force change when the distance between them is reduced to 1/4th?

6.      Calculate the gravitational force in between two objects of mass 25 kg and 20 kg if distance between them is 5 m.

7.      Two objects each of mass 1 kg are kept 1 m apart. What is the gravitational force apart them?

8.      At what conditions the value of gravitational force (F) becomes 6.67x10^-11 N? Show calculation.

9.      Show that if the earth attracts two bodies A and B placed at the same distance from the centre of the earth with the same force, then their masses are equal.

10.   An object with mass 6x10²⁴ kg and the other with mass 3x10²² kg are at distance of 2x10¹⁰ m. Find the gravitational force between them.

11.   Gravitational force produced between two bodies is 2N when they are at a distance of 2m. How much gravitational force is produced when they are kept 4m apart?

12.   Gravitational force produced between two bodies is 50 N when they are at the distance of 8m. How much gravitational force is produced when they are kept 4 meter apart?

13.   The gravitational force between two bodies is 400 N. If the distance between the centers doubled, find the gravitational force between them.

14.   The mass of one body is ‘X’ kg and that of another is 10kg are at a distance of 10m and gravitational force of attraction between them is 13.34 x 10^-11 N. Calculate the value of ‘X’.

15.   Calculate the gravitational force between two masses of 20kg and 50kg are at a distance of 500cm apart.

16.    The gravitational force between any two objects is 500 N and they are at the distance of 2.5 x 10⁴km.  Calculate the distance between two objects to be the gravitational for halved.

17.   The masses of two heavenly bodies are 2 x 10⁶ kg and 4 x 10²² kg respectively and the distance between them is 30,000 km, find out the gravitational force between them.

18.   An elephant of mass 840 kg is standing on the surface of the earth having the mass of 6x10²⁴kg. If the radius of the earth is 6380 km, calculate the force of attraction between the elephant and the earth.

19.   Calculate the force of gravitation between the earth and a man having mass 80 kg,if the mass of the earth is 6x10²⁴ kg and radius of the earth is 6.38x10⁶m.

20.   Let mass of the earth is 6x10²⁴kg and its radius 6380km. What is the gravitation force between the earth and the object of 400kg on the surface of the earth.

21.   A man of 100kg stands on the surface of the earth which has 6x10²⁴kg mass. If the radius of the earth is 6400km then calculate the gravitational force between them..

22.   The mass of Jupiter is 1.9x10²⁷ kg and that of the sun is 2x10³⁰ kg. The distance of the sun from Jupiter is 76.8x10⁷ km Calculate the gravitational force that exist in between them.

23.   The mass of the sun is 2x10³⁰ kg and the mass of earth is 6x10²⁴ kg. If distance between centre's is 1.5x10⁸km, find out the gravitational force between them.

24.   The masses of Venus and Sun are 4.89 x10²⁴ kg and 2 x 10³⁰ kg respectively and distance between them is 1.072 x10⁸ km. Find out the gravitational force between them.

25.   The mass of the earth is 6x10²⁴ kg and the mass of the moon is 7.1x10²² kg and the gravitational force between them is 16.82x10¹⁹N, find out the distance between them.

26.   If the mass of Mars is 6 x 10²³ kg and that of earth is 6 x 10²⁴ kg and the gravitational force between them is 6.67 x 10¹⁶ N, calculate the distance between their centers?

27.   The mass of Jupiter is 1.9x10²⁷ kg and that of the sun is 2x10³⁰ kg. If the magnitude of gravitational force between these masses is 4.166x10²³ N, find the distance between them.

28.   The mass of Jupiter is 1.9x10²⁷ kg and that of the Sun is 2x10³⁰ kg. If the distance of the Sun from Jupiter is 78x10¹⁰ m, find the gravitational force of attraction between them.

29.   Calculate the force with which the moon attracts every kilogram of water of our river if the mass of the moon is 7x10²² kg and it is supposed to be 3x10⁵km away from the Nepal.

30.   The mass of the earth is 6x10²⁴ kg. What is the gravity of 1 kg mass at the distance 3,71,200 km from the centre of the earth? Calculate.

31.    If the mass of moon is 7.2x10²²kg and radius 1.7x10⁶ m then how much gravity does act on one kilogram mass on the same surface?

32.   Study the given diagram and calculate the gravitational force between these spherical masses.

33.   The weight of a body is 600N on the earth's surface. If the mass and radius of the earth are 6 x  10²⁴ kg and 6.4 x10³ km respectively, calculate the mass of the body.

34.   If two bodies are kept at a distance of 400m, the gravitational force between the bodies is  4.16875 x 10⁴N. The mass of one body is 2 x 10⁷ kg, find the mass of another body.

35.   On Bhadra 10, 2060, Mars approached closest to the earth in the history. On that day the force of gravitation between the earth and Mars was about 6.67 x 10¹⁶ N. Calculate, what distance between these two planets must have been. (Mass of the earth; 6 x 10²⁴kg, mass of the mars; 6 x 10²³kg and G= 6.67 x 10^-11 Nm²/kg²)