Estimate the kinetic energy necessary for a projectile with mass m can "escape" from the surface of a planet if it is launched vertically upward. express your estimation in terms of g which is the acceleration due to gravity at the planet's surface and rp which is the planet's radius. ignore air resistance.

a. the kinetic energy is about than 2mgrp.
b. the kinetic energy greater than mgrp.
c. the kinetic energy is about than 2mr2p/g.
d. the kinetic energy greater than mr2p/g.

To solve this problem it is necessary to apply the concepts related to the conservation of kinetic energy and potential energy.

As there is an increase in gravitational potential energy, there is a decrease in kinetic energy - which 'generates' the movement - on the particle.

Mathematically this can be expressed as

Where,

G = Gravitational Universal Constant

M = Mass of Earth

m = Mass of object

R = Radius

Acceleration due to gravity we know that it is defined as

From the kinetic energy formula we can then re-adjust it mathematically as

Finally we can observe that the kinetic energy must be at least equivalent to (Correct Answer is B), in order to escape.

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.

a is the best answer your welcome