2 D MOTION Physics 111 YOU ARE ADDING
- Slides: 15
2 -D MOTION Physics 111
YOU ARE ADDING VECTORS OF LENGTH OF 20 AND 40 UNITS. WHAT IS THE ONLY POSSIBLE RESULTANT MAGNITUDE? A)18 B) 37 C) 64 D) 100
ANSWER: 37 If scalar, Max value is 60 units If scalar, min value is 20 �Says the value is a Vector, so have different directions �Has to be between 60 and 30 37 Is the only option that works
ADDING VECTORS Add the following vectors and determine the resultant. � 5. 0 m/s, 45 deg and 2. 0 m/s, 180 deg
MAG: 3. 85 AT 66. 5 DEGREES FROM –X AXIS
ADD THE FOLLOWING VECTORS AND DETERMINE THE RESULTANT. 3. 0 m/s, 45 deg and 5. 0 m/s, 135 deg and 2. 0 m/s, 60 deg
ANSWER: 7. 40 M/S @ 93. 2 DEGREES
PROBLEM: During the Vector Addition lab, Mac and Tosh start at the classroom door and walk 40. 0 m, north, 32. 5 m east, 15. 5 m south, 68. 5 m west, and 2. 5 m, north. Determine the magnitude and direction of the resultant displacement of Mac and Tosh.
ANSWER: 45. 0 m, 36. 9° N
GIVEN THAT A + B = C, AND THAT LAL 2 + LBL 2 = LCL 2, HOW ARE VECTORSA AND B ORIENTED WITH RESPECT TO EACH OTHER? 1) they are perpendicular to each other 2) they are parallel and in the same direction 3) they are parallel but in the opposite direction 4) they are at 45° to each other 5) they can be at any angle to each other
ANSWER: THE ARE PERPENDICULAR Vectors satisfy the Pythagorean Theorem, with suggest they are a right triangle, where a and b would be perpendicular at a 90 degree angle
GIVEN THAT A + B = C, AND THAT LAL + = LCL , HOW ARE VECTORSA AND B LB L ORIENTED WITH RESPECT TO EACH OTHER? 1) they are perpendicular to each other 2) they are parallel and in the same direction 3) they are parallel but in the opposite direction 4) they are at 45° to each other 5) they can be at any angle to each other
ANSWER: PARALLEL BUT IN SAME DIRECTION The only time vector magnitudes will simply add together is when the direction does not have to be taken into account
A CERTAIN VECTOR HASX AND Y COMPONENTS THAT ARE EQUAL IN MAGNITUDE. WHICH OF THE FOLLOWING IS A POSSIBLE ANGLE FOR THIS VECTOR, IN A STANDARDX-Y COORDINATE SYSTEM? 1) 30° 2) 180° 3) 90° 4) 60° 5) 45°
ANSWER: 45 The angle of the vector is given by tan q = y/x. Thus, tan q = 1 in this case if x and y are equal, which means that the angle must be 45°.
