Solutions 1

# Solutions 1 - 1.31 IDENTIFY Draw each subsequent...

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1.31. IDENTIFY: Draw each subsequent displacement tail to head with the previous displacement. The resultant displacement is the single vector that points from the starting point to the stopping point. SET UP: Call the three displacements A r , B r , and C r . The resultant displacement R r is given by R=A+B+C rr . EXECUTE: The vector addition diagram is given in Figure 1.31. Careful measurement gives that R r is 7.8 km, 38 north of east o . EVALUATE: The magnitude of the resultant displacement, 7.8 km, is less than the sum of the magnitudes of the individual displacements, 2.6 km 4.0 km 3.1 km ++ . Figure 1.31

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1.41. IDENTIFY: Vector addition problem. We are given the magnitude and direction of three vectors and are asked to find their sum. SET UP: 3.25 km A = 4.75 km B = 1.50 km C = Figure 1.41a Select a coordinate system where x + is east and y + is north. Let , A r B r and C r be the three displacements of the professor. Then the resultant displacement R r is given by .
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Solutions 1 - 1.31 IDENTIFY Draw each subsequent...

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