Open Question
Trace the vectors in FIGURE EX3.1 onto your paper. Then find (b) A - B
3. Vectors
Introduction to Vectors
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Two perpendicular forces act on a box, one pushing to the right and one pushing up. An instrument tells you the magnitude of the total force is 13N. You measure the force pushing to the right is 12N. Calculate the force pushing up.
A
1 newton
B
5 newtons
C
12 newtons
D
18 newtons
Verified step by step guidance1
Identify the forces involved: One force is pushing to the right with a magnitude of 12 N, and the total force is 13 N.
Recognize that the forces are perpendicular, forming a right triangle with the total force as the hypotenuse.
Use the Pythagorean theorem to relate the forces: \( F_{\text{total}}^2 = F_{\text{right}}^2 + F_{\text{up}}^2 \).
Substitute the known values into the equation: \( 13^2 = 12^2 + F_{\text{up}}^2 \).
Solve for the force pushing up by rearranging the equation: \( F_{\text{up}} = \sqrt{13^2 - 12^2} \).
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