is the sun of a 10N force and a 20N force always equal to 30N? Explain?

Question

is the sun of a 10N force and a 20N force always equal to 30N? Explain?

Answer 1

Forces are vector quantities, which means they have both a magnitude (such as 10N, for example) and a direction (such as "north" or "towards the star Polaris" or "towards where Bob is standing".) Vector sums must, therefore, take direction into account. If the directions are identical, then the magnitudes add up so 10N toward Polaris + 20N toward Polaris does in fact add up to 30N toward Polaris; but this is not always the case.

If you add 10 N north and 20N south; the net force is 10 N south. If you add 10N north with 20 N west, the net result is sqrt(10^2+20^2) to the west-north-west, more or less -- calculated by the Pythagorean theorem. And so on and so forth.

In the most general case, you can add vectors by adding the sum of their orthogonal components, chosen by your selecton of a Cartesian coordinate system in a manner that is convenient.

Answer 2

you mean sum. The sum can be as minimum as 10 and as maximum as 30. It is 30 if they are in same direction. They are additive. If they are in opposite direction(say tug of war for example) the sum is 20-10 or 10. For other if at an angle t the value is vector sum and can be computed vectorially

Answer 3

Only when both ae in the same direction and plane.

Answer 4

Depands on the direction.