What is the relation between the weight of an object and the radius of the earth?

When diameter of earth becomes half, its radius R also become half, its radius R also become half i.e.,R′=R/2 and its mass becomes four times i.e.,M′=4M. i.e., the weight of the same object would become 16 times its original weight.

What is the relationship between in the mass of the planets and the strength of their gravitational pull?

The weight of an object and the gravitational field strength are directly proportional. For a given mass, the greater the gravitational field strength of the planet, the greater its weight.

What is the relationship between weight and mass?

We know that weight is equal to the product of mass and gravitational force applied. So, W = MG where w is the weight, M is the mass, and G the gravitational force. Hence, it can also be interpreted as ‘the weight of an object is directly proportional to its mass’.

What is the relationship between mass and weight in physics?

The weight of an object is related to its mass by the following formula: 𝑊 = 𝑚 𝑔 , where 𝑊 is the weight of the object, 𝑚 is the mass of the object, and 𝑔 is the gravitational field strength at the position of the object.

How does the weight of an object query with respect to mass and radius of the earth in a hypothetical case?

How does the weight of an object vary with respect to mass and radius of the earth. In a hypothetical case, if the diameter of the earth becomes half of its present value and its mass becomes four times of its present value, then how would the weight of any object on the surface of the earth be affected? Q1. Q2.

How is the weight of an object determined?

Weight is a measure of the force of gravity pulling down on an object. It depends on the object’s mass and the acceleration due to gravity, which is 9.8 m/s2 on Earth. The formula for calculating weight is F = m × 9.8 m/s2, where F is the object’s weight in Newtons (N) and m is the object’s mass in kilograms.

What is Earth mass and radius?

We know that the acceleration due to gravity is equal to 9.8 m/s2, the Gravitational constant (G) is 6.673 × 10−11 Nm2/kg2, the radius of the Earth is 6.37 × 106 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 × 1024 kg.

Is there a general relationship between a planet’s mass and its gravitational acceleration?

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

What’s the relationship between the weight of an object on a planet and the gravitational force on the object by the planet?

The weight W, or gravitational force, is then just the mass of an object times the gravitational acceleration. The gravitational constant g depends on the mass of the planet and on the radius of the planet.