Ateam of astronauts is on a mission to land on and explore a large asteroid. in addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. with what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? assume that the asteroid is approximately spherical, with an average density p 3.84 x108 g/m3 and volume v 2.17 x 1012 m3 recall that the universal gravitational constant is g 6.67 x 10-11 n m2/kg2

Explanation:

The escape velocity is given by the following equation:

  (1)

Where:

is the Gravitational Constant and its value is

 is the mass of the asteroid

 is the radius of the asteroid

On the other hand, we know the density of the asteroid is and its volume is .

The density of a body is given by:

 (2)

Finding :

 (3)

 (4)  This is the mass of the spherical asteroid

In addition, we know the volume of a sphere is given by the following formula:

  (5)

Finding :

  (6)

  (7)

  (8)  This is the radius of the asteroid

Now we have all the necessary elements to calculate the escape velocity from (1):

  (9)

Finally:

This is the minimum initial speed the rocks need to be thrown in order for them never return back to the asteroid.

the box does not move because you need to use a force greater than 300 n. you are only using 50 n. it needs to at least be 301 n for the box to move because then it is an unbalanced force and it will move the way that the greater force is pushing it. if you use only 300 n it will be a balanced force and will not move because the force you are exerting on the   box is the same as its force.

hope this !

im sorry if i went too in depth, i am going to include a link to a video on khan academy that will explain this.   hope that you like the video and that it explains more in detail to you.

that is the link.