What is the difference between center of mass and center of gravity?

Centre of mass is the point at which the distribution of mass is equal in all directions, and does not depend on gravitational field. Centre of gravity is the point at which the distribution of weight is equal in all directions, and does depend on gravitational field.

Centre of mass is the point at which the distribution of mass is equal in all directions, and does not depend on gravitational field.

Centre of gravity is the point at which the distribution of weight is equal in all directions, and does depend on gravitational field.

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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.

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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.

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement