Physics numerical of chapter 10 gravitation
class 9 Part01
1. The gravitational force between two
objects is F. How will this force change when (i) distance between them is
reduced to half (ii) the mass of each object is quadrupled?
2. A sphere of mass 40kg is attracted by a second
sphere of mass 15kg when their centers are 20 cm apart, with a force of 0.1
milligram weight. Calculate the value of gravitational constant.
3. A body of mass 1 kg is placed at a distance of
2m from another body of mass 10kg. At what distance from the body of 1 kg,
another body of mass 5 kg be placed so that the net force of gravitation acting
on the body of mass 1 kg is zero?
4. A geostationary
satellite is orbiting the earth at a height 5 R above the surface of earth,
where R is the radius of earth. Find the time period of another satellite at a height
of 2 R from the surface of earth.
5. The distance of planet Jupiter from the sun 5.2
times that of Earth. Find the period of revolution of Jupiter around sun.
6. If the distance of Earth from the Sun were half
the present value, how many days will make one year?
7. Two satellites of a planet have periods 32 days
and 256 days. If the radius of orbit of former is R, find the orbital radius of
the latter.
8. The mass of Earth is 6 x 10^{24} kg and
that of moon is 7.4 x 10^{22} kg. If the distance between the Earth and
the Moon is 3.84 x 105 km, calculate the force exerted by Earth on the Moon.
Given G = 6.7 x 10^{–11} Nm2/kg^{2}.
9. If the distance between two masses is increased
by a factor of 4, by what factor would the mass of one of them have to be altered
to maintain the same gravitational force?
10. Two bodies A and B having masses 2kg and 4kg
respectively are separated by 2m. Where should a body of mass 1kg be placed so
that the gravitational force on this body due to bodies A and B is zero?
11. The mass of Sun is 2 x 1030 kg and mass of
Earth is 6 x 1024 kg. If the distance between the centres of Sun and Earth is
1.5 x 108 km, calculate the force of gravitation between them.
12. Two electrons each of mass 9.1 x 10–31 kg are
at a distance of 10A^{0}.
Calculate the gravitational force of attraction between them. Given 1A^{0}
=10^{10}m
13. The gravitational force between force two
objects is 100 N. How should the distance between these objects be changed so
that force between them becomes 50 N?
14. Calculate the force of gravitation between two
objects of masses 80kg and 1200 kg kept at a distance of 10 m from each other.
Given G = 6.67 x 10–11 Nm2/kg^{2}.
15. Calculate the force of attraction between the
Earth and the Sun, given that the mass of Earth is 6 x 1024 kg and that of sun
is 2 x 1030 kg. The average distance between the two is 1.5 x 10^{11}m.
Physics numerical of chapter 10 gravitation
class 9 Part02
1. Calculate the force of gravity acting on
your friend of mass 60kg. Given mass of earth = 6 x 1024 kg and radius of Earth
= 6.4 x 106m.
2. Mass of an object is 10kg. What is its
weight on Earth?
3. What is the mass of an object whose
weight is 49N?
4. An object weighs 10N when measured on
the surface of the earth. What would be its weight when measured on the surface
of the Moon?
5. An object is thrown vertically upwards
and rises to a height of 10m. Calculate (i) the velocity with which the object
was thrown upwards and (ii) the time taken by the object to reach the highest
point.
6. A force of 2 kg wt. acts on a body of
mass 4.9kg. Calculate its acceleration.
7. A force of 20N acts upon a body weight
is 9.8N. What is the mass of the body and how much is its acceleration?
8. A body has a weight of 10 kg on the
surface of earth. What will be its mass and weight when taken to the centre of
earth?
9. How much would a 70 kg man weigh on
moon? What will be his mass on earth and moon? Given g on moon = 1.7 m/s2.
10. The Earth’s gravitational force causes
an acceleration of 5 m/s2 in a 1 kg mass somewhere in space. How much will the
acceleration of a 3 kg mass be at the same place?
11. A particle is thrown up vertically with
a velocity of 50m/s. What will be its velocity at the highest point of the
journey? How high would the particle rise? What time would it take to reach the
highest point? Take g = 10 m/s2.
12. If a planet existed whose mass was
twice that of Earth and whose radius 3 times greater, how much will a 1kg mass
weigh on the planet?
13. A boy on cliff 49m high drops a stone.
One second later, he throws a second stone after the first. They both hit the
ground at the same time. With what speed did he throw the second stone?
14. A stone drops from the edge of a roof.
It passes a window 2m high in 0.1s. How far is the roof above the top of the
window?
15. A stone is dropped from the edge of a
roof. (a) How long does it take to fall 4.9m ?
(b) How fast does it move at the end of
that fall? (c) How fast does it move at the end of 7.9m? (d) What is its
acceleration after 1s and after 2s?
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