Use head to tail method to add A and B. Use the magnitude/direction from Table 1
ID: 1628945 • Letter: U
Question
Use head to tail method to add A and B. Use the magnitude/direction from Table 1. Find an appropriate scale factor to convert from N to cm. Using your ruler and protractor add two vectors to find the resultant. Measure the magnitude with a ruler (convert back from cm to N) and direction with a protractor and record below. In Table 2, you know the magnitude and direction of the equilibrant E and B. Use the values in Table 2 and the component method to solve for the magnitude and direction of the unknown force A. Record your findings in Table 4. Solve for the magnitude and direction of the unknown force A. Show equation that you used. Calculate the mass of the unknown object A by dividing the magnitude of force A by g^-9.8 m/s^2. Mass of the unknown object using a scale .... g ..... kg Percent difference for the experimental (mass found at 10.) and standard value mass of the unknown (found by scale at 11)Explanation / Answer
given
Ex = 1.1 N cos 154 = -0.988 N i
Ey = 1.1 N sin 154 = 0.482 j
Bx = 0.88 cos 300 = 0.44i
By = 0.88 sin 30 0=- 0.762 j
Ax= Ex+ Bx = -0.988 N i+0.44 i =-0.548 i
Ay = Ey + By = 0.482 j - 0.762 j = -0.28 j
magnitude
A = sqrt Ax^2 + Ay^2
= sqrt ( -0.548)^2 + (-0.28)^2
=0.615 N
direction
theta = tan^-1 ( -0.28/-0.548)
=27.06 degree or 180+27 = 207 degree from the + ve x axis
11)
m = F/g = 0.615/9.8 = 0.0627 kg or 62.7 g
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