If the mass of the earth us 6*10^24 kg and of the moon is 7.4*10^22 kg.If the distance between the earth and the moon is 3.84*10^5 km. Calculate the force?

Question

Answer

Calculating the Force Between the Earth and Moon

When calculating the force between two objects, we use the formula:

F = G(m1*m2)/d^2

Breaking down the formula:

F = force

G = gravitational constant (6.67 x 10^-11 Nm^2/kg^2)

m1 = mass of first object

m2 = mass of second object

d = distance between the centers of the two objects

Calculating the Force:

Substituting the given values into the formula:

F = G(m1*m2)/d^2
F = (6.67 x 10^-11 Nm^2/kg^2)(6 x 10^24 kg)(7.4 x 10^22 kg)/(3.84 x 10^5 km)^2

Converting km to meters:

F = (6.67 x 10^-11 Nm^2/kg^2)(6 x 10^24 kg)(7.4 x 10^22 kg)/(3.84 x 10^5 km x 1000m/km)^2
F = 1.99 x 10^20 N

Interpreting the Results:

The force between the Earth and Moon is approximately 1.99 x 10^20 N. This is the force that keeps the Moon in orbit around the Earth. The force of gravity pulls the Moon towards the Earth, while the Moon's inertia keeps it moving in a straight line. The combination of these forces results in the Moon's elliptical orbit around the Earth.

Answer

Similar Class 9 Doubts

The mass of the earth is 6×10^24kg and that of the moon is 7.4×10^23kg. If the distance between the earth and the moon is 3.84×10^5, calculate the force exerted by the earth on the moon.Take G=6.67×10^-11 Nm^2/kg^2.?

The mass of the Sun is 210^ 30 kg and that of the Earth is 610^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.?

calculation the force of gravitation between the earth and the sun,given that the mass of earth=6×10^24 kg and of the sun=2×10^3 .The Average distance between two is 1.5×10^11 m.

A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres?

What is the magnitude of gravitational force between earth and 1 kg object on its surface? mass of Earth = 6 x 10^24 kgradius of earth= 6.4x10^6 m?

Top Courses for Class 9View all

Science Class 9

Social Studies (SST) Class 9

Mathematics (Maths) Class 9

English Grammar Advanced

English Class 9

Top Courses for Class 9

Top Courses for Class 9

Suggested Free Tests

Related Content

Class 9 Study Material

Class 9 Subjects

Competitive Examinations for Class 9

NCERT Books

NCERT Solutions

Reference Books for Class 9

Other Popular Exams

Company

Similar Class 9 Doubts

The mass of the earth is 6×10^24kg and that of the moon is 7.4×10^23kg. If the distance between the earth and the moon is 3.84×10^5, calculate the force exerted by the earth on the moon.Take G=6.67×10^-11 Nm^2/kg^2.?

The mass of the Sun is 2*10^ 30 kg and that of the Earth is 6*10^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.?

calculation the force of gravitation between the earth and the sun,given that the mass of earth=6×10^24 kg and of the sun=2×10^3 .The Average distance between two is 1.5×10^11 m.

A sphere of mass 40 kg is attracted by a second sphere of mass 60 kg with a force equal to 4 x 10 ^ -5 N. if G= 6 x 10 ^ -11 Nm%2 kg^2 calculate the distance between the two spheres?

What is the magnitude of gravitational force between earth and 1 kg object on its surface? mass of Earth = 6 x 10^24 kgradius of earth= 6.4x10^6 m?

Top Courses for Class 9View all

Science Class 9

Social Studies (SST) Class 9

Mathematics (Maths) Class 9

English Grammar Advanced

English Class 9

Top Courses for Class 9

Top Courses for Class 9

Suggested Free Tests

Related Content

The mass of the Sun is 210^ 30 kg and that of the Earth is 610^ 24 kg . If the average distance between the Sun and the Earth is 1.5 * 10 ^ 11 * m calculate the force exerted by the Sun on the Earth and also by Earth on the Sun.?