Physics
The x component of vector A is 5.3 units, and its y component is -2.3 units. The angle that vector A makes with the +x-axis is closest to A) 340* B) 160* C) 250* D) 110* E) 23*
A) 340*
When Jeff ran up a hill at 7.0 m/s, the horizontal component of his velocity vector was 5.1 m/s. What was the vertical component was 5.1 m/s. What was the vertical component of Jeff's velocity? A) 4.8 m/s B) 4.3 m/s C) 3.8 m/s D) 3.4 m/s
A) 4.8 m/s
Vector M = 4.00 m points eastward and vector N = 3.00 m points southward. The resultant vector M + N is given by A) 5.00 m at an angle of 36.9* south of east B) 5.00 m at an angle of 53.1* south of east C) 5.00 m at an angle of 71.6* south of east D) 5.00 m at an angle of 18.4 south of east E) 5.00 m at an angle of 26.6* south of east
A) 5.00 m at an angle of 36.9* south of east
You walk 53 m to the north, then you turn 60* to your right and walk another 45 m. Determine the direction of your displacement vector. Express your answer as an angle relative to east. A) 63* N of E B) 50* N of E C) 57* N of E D) 69* N of E
A) 63* N of E
You walk 33 m to the north, then turn 60* to your right and walk another 45 m. Haw far are you from where you originally started? A) 68 m B) 39 m C) 75 m D) 35 m
A) 68 m
Vector A has magnitude 2 units and is directed to the north. Vector B has magnitude 5 units and is directed to the south. Calculate the magnitude and direction of A - B A) 7 units, north B) 7 units, south C) 3 units, north D) 3 units, south
A) 7 unites, north
The components of vectors B and C are given as follow: Bx = -9.2 By = -6.1 Cx = -4.5 Cy = 4.3 The angle between vectors B and C is closest to... A) 77* B) 103* C) 10* D) 170* E) 84*
A) 77*
If A + B = 0, then the vectors A and B have equal magnitudes and are directed in the same direction A) True B) False
A) True
James and John dive from an overhang into the lake below. James simply drops straight down from the edge. John takes a running start and jumps with an initial horizontal velocity of 25 m/s. If there is no air resistance, when the reach the lake below... A) the splashdown speed of James is larger than that of John B) the splashdown speed of John is larger than that of James C) they will both have the same splashdown speed D) the splashdown speed of James must be 9.8 m/s larger than that of John E) the splashdown speed of John must be 25 m/s than that of James
B) the splashdown speed of John is larger than that of James
Vector A has a magnitude of 6.0 m and points 30* north of east. Vector B has a magnitude of 4.0 m and points 30* west of north. The resultant vector A + B is given by A) 9.8 m at an angle of 64* east of north B) 9.8 m at an angle of 26* north of north C) 7.2 m at an angle of 26* east of north D) 3.3 m at an angle of 26* north east E) 3.3 m at an angle of 64* east of north
C) 7.2 m at an angle of 26* east of north
In an air-free chamber, a pebble is thrown horizontally, and at the same instant a second pebble is dropped from the same height. Compare the times of fall of the two pebbles. A) The thrown pebble hits first B) The dropped pebble hits first C) They hit at the same time D) We cannot tell without knowing which pebble is heavier
C) They hit at the same time
Two perpendicular vectors, A and B, are added together giving vector C. If the magnitudes of both vectors A and B are doubled without changing their directions, the magnitude of vector C will A) increase by a factor of 8 B) increase by a factor of 4 C) increase by a factor of 2 D) increase by a factor of (square root of 2) E) not change
C) increase by a factor of 2
The sum of two vectors of fixed magnitudes has the greatest magnitude when the angle between these two vectors is A) 90* B) 180* C) 60* D) 0* E) 270*
D) 0*
Vector A has a magnitude of 7.0 m and points 30* east of north. Vector B has a magnitude of 5.0 m and points 30* west of south. The resultant vector A + B is given by C) 2.0 m at an angle 30* north of east D) 2.0 m at an angle 60* north of east
D) 2.0 m at an angle 60* north of east
Vector A has a magnitude of 8.0 m and points 30* north of east; vector B has a magnitude of 6.0 m and points 30* west of north; and vector C has a magnitude of 5.0 m and points 30* west of south. The resultant vector A + B + C is given by D) 5.1 m at an angle 74* north of east E) 2.1 m at an angle 66* east of north
D) 5.1 m at an angle 74* north of east
A stone is thrown horizontally with an initial speed of 10 m/s from the edge of a cliff. A stopwatch measures the stone's trajectory time from the top of the cliff to the bottom to be 4.3 s. What is the height of the cliff if air resistance is negligibly small? A) 22 m B) 43 m C) 77 m D) 91 m
D) 91 m
The eastward component of vector A is equal to the westward component of vector B and their northward components are equal. Which one of the following statements must be correct for these two vectors? A) Vector A is parallel to vector B B) Vector A is antiparallel (in opposite direction) to vector B C) Vector A must be perpendicular to vector B D) The magnitude of vector A must be equal to the magnitude of vector B E) The angle between vector A and the vector B must be 90*
D) The magnitude of vector A must be equal to the magnitude of vector B
Vector A has a magnitude of 6.0 m and points 30* south of east. Vector B has a magnitude of 4.0 m and points 30 *west of south. The resultant A = B is given by A) 7.2 m at an angle of 64* south of east B) 3.3 m at an angle of 64* south of east
A) 7.2 m at an angle of 64* south of east
A boy throws a rock with an initial velocity of 3.13 m/s at 30.0* above the horizontal. How long does it take for the rock to reach the maximum height of its trajectory if air resistance is negligibly small and g=9.8 m/s^2 A) 0.160 s B) 0.282 s C) 0.313 s D) 0.441 s
A) 0.160 s
The components of vectors A and B are given as follows: Ax = 7.6 Ay = -9.2 Bx = -5.1 By = -6.8 What is the magnitude of the vector difference B - A A) 13 B) 3.5 C) 16 D) 170 E) 3.4
A) 13
If A (->) + B (->) = C(->) and their magnitudes are given by A + B = C ,then the vectors A and B are oriented... A) perpendicular relative to one other B) parallel to each other (in the same direction) C) antiparallel to each other (in opposite directions) D) It is impossible to know from the given information
B) parallel to each other (in the same direction)
A car travels 20km west and then 20km south. What is the magnitude of its displacement vector? A) 0 km B) 20 km C) 28 km D) 40 km
C) 28 m
The magnitude of the resultant of two vectors cannot be less than the magnitude of either of those two vectors. A) True B) False
False