The standard acceleration (at sea level and 45◦ latitude) due to gravity is 9.806 65 m/s2. what is the force needed to hold a mass of 2 kg at rest in this gravitational field? how much mass can a force of 1 n support?

a) Remember Newton's second Law:

F = m*a

This means that the forces that is being exerted over an object is equal to the mass of the object times the acceleration that it has.

In this case, in order to hold the mass you need a force with the same magnitude but opposite direction to the gravitational force. The magnitude of this force would be the mass of the object times the gravitactional  acceleration:

F = 2kg*9.80665m/s² = 19.6133 N

b) Using again Newton's second Law, we can issolate mass from that equation:

m = F/a

Then, the mass that a force of 1N can support is equal to:

m = 1N/9.80665m/s² = 0.102 kg

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.

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2