Escape velocity from a planet is vₑ. If its mass is increased to 8 times and its radius is increased to 2 times, then the new escape velocity would be

The minimum speed an object must reach to break free from a celestial body’s gravitational pull without any additional propulsion is known as escape velocity. To understand the effects of changes in a planet’s mass and radius on escape velocity, it is necessary to know how these factors interact.

The mass of a planet will be increased to eight times the original mass, and at the same time, its radius will be doubled in size. Then, the escape velocity will be changed. This is because a higher mass results in a greater gravitational force acting on the objects that try to escape. However, a greater radius will have the effect of increasing the distance from the center of the planet to its surface. This has the effect of decreasing the strength of gravitational pull on an object that sits at the surface.

Through the analysis, it is possible to deduce the new escape velocity resulting from these new conditions: it would be twice the original escape velocity. The overall fact resulted in this outcome; mass and radius have to balance with each other to determine the escape velocity. The key for ultimate understanding of how such fields, as astrophysics or space exploration do things, is key: the ultimate speed needed for the object for successful escape.

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