A particle is fired vertically upward with a speed of 15 km s -1 . With what speed will it move in interstellar space. Assume only earth’s gravitational field.

Question

Philoid · Accepted Answer

Let the mass of the particle be m and the initial velocity

Here, initial kinetic energy,

Initial potential energy,

Let the final velocity be . Hence, final kinetic energy is

And since the particle is drifting in space, under no influence of gravity, its final potential energy

Now, using energy conservation,

A particle is fired vertically upward with a speed of 15 km s-1. With what speed will it move in interstellar space. Assume only earth’s gravitational field.

A particle is fired vertically upward with a speed of 15 km s^-1. With what speed will it move in interstellar space. Assume only earth’s gravitational field.