Does the escape speed of a body from the earth depend on? 1. the mass

1.	Does the escape speed of a body from the earth depend on? 1. the mass of the body, 2. the location from where it is projected, 3. the direction of projection, 4. the height of the location from where the body is launched?
Answer» Escape velocity of a body from earth is given by v = √(2gR). g = Acceleration due to Gravity. R = Radius of earth. 1. No. Escape velocity is independent of mass of the object. 2. No. Assuming the value of g is the same in all the locations, it is independent of location of projection. 3. No. The direction of projection is also immaterial as long as it is projected with the velocity above ground. 4. Yes. It depends on the gravitational potential energy which depends on the height. Since g changes with height. The escape velocity also depends on height.

Does the escape speed of a body from the earth depend on? 1. the mass of the body, 2. the location from where it is projected, 3. the direction of projection, 4. the height of the location from where the body is launched?

Answer»

Escape velocity of a body from earth is given by v = √(2gR).

g = Acceleration due to Gravity.

R = Radius of earth.

1. No.

Escape velocity is independent of mass of the object.

2. No.

Assuming the value of g is the same in all the locations, it is independent of location of projection.

3. No.

The direction of projection is also immaterial as long as it is projected with the velocity above ground.

4. Yes.

It depends on the gravitational potential energy which depends on the height. Since g changes with height. The escape velocity also depends on height.

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