Find the size of the net force produced by a 5 N and an 12 N force in each of th

Question

Find the size of the net force produced by a 5 N and an 12 N force in each of the following arrangements. a) The forces act in the same direction.
b) The forces act in opposite directions.
c) The forces act at right angles to each other. Find the size of the net force produced by a 5 N and an 12 N force in each of the following arrangements. a) The forces act in the same direction.
b) The forces act in opposite directions.
c) The forces act at right angles to each other. Find the size of the net force produced by a 5 N and an 12 N force in each of the following arrangements. a) The forces act in the same direction.
b) The forces act in opposite directions.
c) The forces act at right angles to each other.

Explanation / Answer

Fnet = sqrt[ F1^2 + F2^2 + 2F1 F2 cos(theta)]

(A) theta= 0

Fnet = sqrt[ 5^2 + 12^2 + 2(5)(12)] = (5 + 12)

= 17 N

(B) theta = 180 deg

Fnet = sqrt[ 5^2 + 12^2 - 2(5)(12)] = (12 - 5)

= 7 N

(C) theta = 90 deg

Fnet = sqrt[ 5^2 + 12^2 + 0 ] = 13 N

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