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How did they find the mass of the Earth?
The mass of Earth is measured indirectly by determining other quantities such as Earth’s density, gravity, or gravitational constant. The first measurement in the 1770s Schiehallion experiment resulted in a value about 20\% too low. The Cavendish experiment of 1798 found the correct value within 1\%.
How do you calculate mass due to gravity?
To find an object’s mass using its weight, the formula is Mass equals Weight divided by the Acceleration of Gravity (M = W ÷ G). Convert the weight measured in pounds to the equivalent in Newtons.
How did Henry Cavendish find the value of g?
G is a constant that must be determined experimentally. In 1798 Cavendish measured the force between attracting lead spheres with a torsion balance. He knew the masses of the spheres and how far apart they were. He carefully measured the force between them, which allowed him to calculate G.
What is the formula to find the magnitude of the gravitational force between the Earth and object on the surface of the Earth?
Let the mass of the object = m. Distance between the the earth’s centre and object = Radius of the earth = R. Therefore, Gravitational Force = F = GMm/ R 2.
How did Cavendish calculate the volume of the Earth?
Cavendish used a carefully constructed experiment that utilized a torsion balance to measure the very small gravitational attraction between two masses suspended by a thin fiber support. Cavendish’s use of the torsion balance to measure the gravitational constant of the Earth, however, was a triumph of empirical skill.
What did the Cavendish experiment measure?
force of gravitational attraction
Cavendish experiment, measurement of the force of gravitational attraction between pairs of lead spheres, which allows the calculation of the value of the gravitational constant, G.
What is the magnitude of gravitational force between the earth?
What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]….Gravitation-NCERT SolutionsExplore More.
| Mass | Weight |
|---|---|
| 2. Its S.I. unit is kg. | 2. Its S.I unit is Newton. |
How did Henry Cavendish measured the value of gravitational constant G )? Explain how he conducted the torsion balance experiment?
Henry Cavendish performed an experiment to find the density of the Earth. Other scientists used his experimental setup to determine the value of G. The setup consisted of a torsion balance to attract lead balls together, measuring the torque on a wire and then equating it to the gravitational force between the balls.
How do you find the mass of the Earth?
If we assumed that M is the mass of the Earth, and m is the mass of an object on the surface of the Earth, we can solve for M by equating Newton’s Law of Gravity with his second law of motion. F = ma. We have: F = GmM/r 2 = ma → GM/r 2 = a. Solving for M, the mass of the Earth, and using. Where.
What is the mass of the Earth in kg?
We know that the acceleration due to gravity is equal to 9.8 m/s 2, the Gravitational constant (G) is 6.673 × 10 −11 Nm 2 /kg 2, the radius of the Earth is 6.37 × 10 6 m, and mass cancels out. When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 × 10 24 kg.
How did Sir Isaac Newton determine the mass of the Earth?
Sir Isaac Newton greatly contributed to the study of physics and therefore, his efforts determined the mass of the Earth. His law of gravity and second law of motion are used together to obtain a value for the mass of our planet. Newton’s law of gravity formulates the gravitational force that two masses exert on each other and is given by
How did Galileo determine the mass of the Earth?
In the 16 th century, Galileo determined the acceleration due to the force of gravity near the surface of the Earth and obtained 9.8 m/sec 2. Sir Isaac Newton greatly contributed to the study of physics and therefore, his efforts determined the mass of the Earth.