VectorsPHYSICS1) During a relay race, runner A runs a certain distance due north and then hands off the baton to runner B, who runs for the same distance in a direction south of east. The two displacement vectors A and B can be added together to give a resultant vector R. Which drawing correctly shows the resultant vector? 2) How is the magnitude R of the resultant vector R related to the magnitudes A and B of the vectors A and B? The magnitude of the resultant vector R is less than the sum of the magnitudes of A and B, or RA+B. The magnitude of the resultant vector R is equal to the sum of the magnitudes of A and B, or R=A+B. 3) Suppose that vector A has a magnitude of 3.0 km and is directed due north. Furthermore, suppose that vector B has a magnitude of 4.0 km and is directed due east, as the drawing shows. What is the magnitude of the resultant vector R? 1) There are insufficient data to determine the magnitude of R. 2) 7.0 km 3) 8.5 km 4) 5.0 km

4) The drawing shows three displacement vectors, A, B, and C, which are added in a tail-to-head fashion. The resultant vector is labeled R. Which drawing below shows the correct resultant vector for A + B - C?

5) The drawing shows five displacement vectors. Which four of these vectors, when added together in a tail-to-head manner, give a resultant vector that is zero? (Hint: The resultant vector is the vector drawn from the tail of the first vector to the head of the last vector. If the resultant vector is zero, what must be true about the tail of the first vector relative to the head of the last vector?

1) Vectors 1, 2, 3, and 5 2) Vectors 1, 2, 4, and 5 3) Vectors 1, 3, 4, and 5

4) Vectors 2, 3, 4, and 5 5) Vectors 1, 2, 3, and 4

6) What is the difference between distance and displacement?1) There is no difference between the two concepts; they may be used interchangeably. 2) Displacement is a vector, while distance is not a vector. 3) Distance is a vector, while displacement is not a vector. 7) Three runners start at the same place. Shaun runs 4.0 km due east and then runs 1.0 km due west. Mark runs 3.0 km due east. Jeff runs 2.0 km due west and then runs 5.0 km due east. Which of the following is true concerning the displacement of each runner? 1) Shaun's displacement equals Jeff's displacement, but Mark's displacement is different. 2) Mark's displacement equals Jeff's displacement, but Shaun's displacement is different. 3) Shaun, Mark, and Jeff have the same displacements. 4) Shaun, Mark, and Jeff have different displacements. 5) Shaun's displacement equals Mark's displacement, but Jeff's displacement is different. 8) A bicyclist races around a circular track and covers the same number of meters per second everywhere. Which one of the following is true1) Neither the speed nor the velocity of the bicyclist is constant. 2) The speed and the velocity of the bicyclist are constant. 3) The velocity of the bicyclist is constant. 4) The speed of the bicyclist is constant. 9) Two forces are such that the sum of their magnitudes is 18 N and their resultant is 12 N which is perpendicular to the smaller force. Then the magnitudes of the forces are(a) 12 N, 6 N (b) 13 N, 5 N (c) 10 N, 8 N (d) 16 N, 2 N10) The resultant of two forces F1 and F2 of the same magnitude F has magnitude F itself. The angle between F1 and F2 is(1) 30 (2) 45(3) 60(4) 90(5) 12011) Two resultant forces 10n and 15N act an angle at the same point. Which of the following cannot be resultant force?

1) 23N2) 20N3) 5N4) 26N5) none of the above

Harshana Perera(B.Sc(Phy),BIT,SCJP)MechanicsUnit 1