Be careful when dealing with the weights on the hanger because they can sometime

Question

Be careful when dealing with the weights on the hanger because they can sometimes fall on your toes or feet. What are the x- and y-components of a force of 200 N acting at an angle of 30 degree counter clockwise from the positive x-axis? What is the resultant of two forces of 9 N and 12 N acting at right angle? If two forces of equal magnitudes are acting in the east and north directions, what is the direction (the angle the resultant makes with the positive x-axis) of the resultant force? Which one is a vector quantity? Distance or Displacement If the weight of a box is 9.8 N, what is its mass? What is the resultant displacement of 200 miles going north from your house and 200 miles coming south to your house? What conclusions can you draw from the experimental

Explanation / Answer

F= 200 N and theta = 30

Fx = F cos 30 = 200 N cos 30 = 173.2 N

Fy = F sin 30 = 200 N sin 30 = 100 N

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resultant of the two forces is

Fres= sqrt ( 12^2 + 9^2 ) = 15 N

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the direction of resultant force is

theta = tan^-1 ( Fy/Fx) = tan^-1 ( 1/1) = 45 degree

displacemnt is vector quantity

m = w/g = 9.8 N/ 9.8 m/s^2 = 1 kg

resultant displacment is zero

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