Weight (\(W\)) is defined as the force of gravity acting on an object. It is calculated by multiplying the object's mass (\(m\)) by the local acceleration due to gravity (\(g\)). The formula is:
\( W = mg \)
Weight Ratio Calculation
The weight of an object depends on both its mass and the gravitational field it is in. Let \( W_e \) be the weight of an object on Earth and \( W_m \) be its weight on the Moon. The mass (\( m \)) of the object remains the same in both locations.
- Weight on Earth: \( W_e = m \times g_e \), where \( g_e \) is Earth's surface gravity.
- Weight on the Moon: \( W_m = m \times g_m \), where \( g_m \) is the Moon's surface gravity.
Earth Moon Gravity
The ratio of the weight on Earth to the weight on the Moon is calculated as:
\( \frac{W_e}{W_m} = \frac{m \times g_e}{m \times g_m} \)
Since mass (\( m \)) cancels out, the ratio simplifies to the ratio of the gravitational accelerations:
\( \frac{W_e}{W_m} = \frac{g_e}{g_m} \)
Gravitational acceleration on Earth is approximately 6 times stronger than on the Moon (\( g_e \approx 6 \times g_m \)).
\( \frac{g_e}{g_m} \approx 6 \)
Therefore, the ratio \( W_e / W_m \) is approximately 6.
Similar Questions
The value of g on the moon is 1/6 th of the value of g on the earth. If a man can jump 1.5 m high on the earth, on the moon, he can jump up to a height of:
Fill in the blank with the most appropriate option.
The Universal Constant of Gravitation is ________.
Consider a hypothetical planet whose mass and radius are both half that of Earth. If g is the acceleration due to gravity on the surface of Earth, the acceleration due to gravity on the planet will be:
- A boy throws two balls in air in such a manner that when the first ball is at its maximum height he throws the second ball. If the balls are thrown with the time difference of one second, the maximum height attained by each ball is \((g = 10 \text{ m/s}^2)\)
- Two spheres of masses \(m\) and \(M\) are situated in air and the gravitational force between them is \(F\). The space between the masses is now filled with a liquid of specific gravity 3. The gravitational force will now be:
- An object with a specific mass will weigh ______.
What will happen during the free fall of a massive object under the influence of gravitational force of the earth ?
Which of the following statements is/are INCORRECT?
A. The ratio of the force of gravitation between two masses, m1 and m2, kept at a distance R on the earth and on the moon is 1:1.
B. Nm2/kg2 is the SI unit of G.
C. The value of G depends on the distance between the bodies.
D. The value of G depends on the masses of the bodies.Acceleration due to gravity is highest at ____.
A 100 gram ball is kept on the top of a building of 70 m height. Find the potential energy of the ball (assume g = 10 m/s 2)
Important Questions from Gravity
Which of the following statement is correct?
I. Gravitation is a weak force unless large masses are involved.
II. The weight is equal to the product of mass and acceleration due to gravity.
What is the reason that the value of g (acceleration due to gravity) becomes greater at the poles than at the equator?
If the acceleration due to gravity on the surface of earth is g, then the acceleration due to gravity on the surface of a planet whose mass is same as that of earth and radius is twice as that of earth is ___________.
A man's mass is 72 kg on the earth. His mass on the moon will be:
At which of the following place, weight of an object is maximum?
