# The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is

By Mandeep Kumar|Updated : May 23rd, 2023

The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius four times that of Earth and same mass density is 4v. Escape velocity is the minimum speed necessary for an object to leave the earth and travel to infinity. It is the smallest speed at which a free, non propelled object can escape the gravitational pull of a primary body and travel an infinite distance away.

## Escape Velocity from the Earth's Surface

Escape velocity is a result of energy conservation and an energy field with a finite depth. The escape velocity is not affected by the escaping object's mass. The amount of energy required differs regardless of whether the mass is 1 kg or 1,000 kg.

Although the escape velocity is independent of the mass of the escaping object, it increases with the mass of the primary body. It also decreases with distance from the primary body, accounting for how far the object has already traveled.

• In a broader sense, escape velocity is the speed at which the combined kinetic and gravitational potential energy of an object equals zero.
• When an object reaches escape velocity, it is neither on the ground nor in a closed orbit.
• Once escape velocity is attained, no additional impulse is required to propel the object further along its escape path.

Summary:

## The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is

4v is the escape velocity from the surface of another planet having a radius four times that of Earth if escape velocity from the Earth's surface is v. The smallest speed at which a free, unpropelled item can escape the gravitational influence of a body and travel an infinite distance is called the escape velocity.

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