Question 1

A traffic light weighing 100 N is supported by two ropes as shown in the figure. The tensions in the ropes are closest to

Accepted Answer

A)  50 N. 
B)  56 N. 
C)  63 N. 
D)  66 N. 
E)  83 N. 
A)  50 N. 
B)  56 N. 
C)  63 N. 
D)  66 N. 
E)  83 N.

Question 2

A 5.00-kg box slides 4.00 m across the floor before coming to rest. What is the coefficient of kinetic friction between the floor and the box if the box had an initial speed of 3.00 m/s?

Accepted Answer

A)  1.13 
B)  0.587 
C)  0.115 
D)  0.229 
E)  0.267 
A)  1.13 
B)  0.587 
C)  0.115 
D)  0.229 
E)  0.267

Question 3

A 4.00-kg block rests on a 30.0° incline as shown in the figure. If the coefficient of static friction between the block and the incline is 0.700,what magnitude horizontal force F must act on the block to start it moving up the incline?

Accepted Answer

A)  34.0 N 
B)  51.1 N 
C)  54.7 N 
D)  84.0 N 
E)  76.4 N 
A)  34.0 N 
B)  51.1 N 
C)  54.7 N 
D)  84.0 N 
E)  76.4 N

Question 4

A pilot drops a package from a plane flying horizontally at a constant speed.Neglecting air resistance,when the package hits the ground the horizontal location of the plane will

Accepted Answer

A)  be behind the package. 
B)  be over the package. 
C)  be in front of the package. 
D)  depend of the speed of the plane when the package was released. 
A)  be behind the package. 
B)  be over the package. 
C)  be in front of the package. 
D)  depend of the speed of the plane when the package was released.

Question 5

The components of vector   are Ax = + 3.90 and Ay = -4.00.What is the angle measured counterclockwise from the +x-axis to vector  
?

Accepted Answer

A)  314° 
B)  134° 
C)  224° 
D)  136° 
E)  46.0° 
A)  314° 
B)  134° 
C)  224° 
D)  136° 
E)  46.0°

Question 6

A rectangular box is positioned with its vertices at the following points:
A = (0,0,0) C = (2,4,0) E = (0,0,3) G = (2,4,3)
B = (2,0,0) D = (0,4,0) F = (2,0,3) H = (0,4,3)
If the coordinates all have three significant figures,the angle between the line segments AG and AH is closest to:

Accepted Answer

A)  21.8°. 
B)  22.5°. 
C)  26.6°. 
D)  36.9°. 
E)  45.0°. 
A)  21.8°. 
B)  22.5°. 
C)  26.6°. 
D)  36.9°. 
E)  45.0°.

Question 7

The value of the dot product of two vectors depends on the particular coordinate system being used.

Accepted Answer

A) True 
 B)False

Question 8

A projectile is fired from point 0 at the edge of a cliff,with initial velocity components of v0x= 60 m/s and v0y = 175 m/s,as shown in the figure.The projectile rises and then falls into the sea at point P.The time of flight of the projectile is 40.0 s,and it experiences no appreciable air resistance in flight.What is the magnitude of the velocity of the projectile 21.0 s after it is fired?

Accepted Answer

Question 9

You walk 53 m to the north,then 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.

Accepted Answer

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 
B)  50° N of E 
C)  57° N of E 
D)  69° N of E

Question 10

Vector   = 1.00  
+ -2.00  
And vector  
= 3)00  
+ 4)00  
What are the magnitude and direction of vector  
=  
+  
?

Accepted Answer

A)  7.21 in a direction 33.7° counterclockwise from the positive x axis 
B)  6.00 in a direction 63.4° counterclockwise from the positive x axis 
C)  4.47 in a direction 6.34° counterclockwise from the positive x axis 
D)  4.47 in a direction 26.6° counterclockwise from the positive x axis 
E)  7.21 in a direction 56.3° counterclockwise from the positive x axis 
A)  7.21 in a direction 33.7° counterclockwise from the positive x axis 
B)  6.00 in a direction 63.4° counterclockwise from the positive x axis 
C)  4.47 in a direction 6.34° counterclockwise from the positive x axis 
D)  4.47 in a direction 26.6° counterclockwise from the positive x axis 
E)  7.21 in a direction 56.3° counterclockwise from the positive x axis

Question 11

A box is sliding down an incline tilted at a 12.0° angle above horizontal. The box is initially sliding down the incline at a speed of 1.50 m/s. The coefficient of kinetic friction between the box and the incline is 0.340. How far does the box slide down the incline before coming to rest?

Accepted Answer

A)  0.920 m 
B)  2.33 m 
C)  1.78 m 
D)  0.720 m 
E)  The box does not stop. It accelerates down the plane. 
A)  0.920 m 
B)  2.33 m 
C)  1.78 m 
D)  0.720 m 
E)  The box does not stop. It accelerates down the plane.

Question 12

Object A has a position as a function of time given by   A(t)= (3.00 m/s)t  
+ (1.00 m/s2)t2

Object B has a position as a function of time given by  
B(t)= (4.00 m/s)t  
+ (-1.00 m/s2)t2

All quantities are SI units.What is the distance between object A and object B at time t = 3.00 s?

Accepted Answer

A)  34.6 m 
B)  15.0 m 
C)  18.3 m 
D)  3.46 m 
E)  29.8 m 
A)  34.6 m 
B)  15.0 m 
C)  18.3 m 
D)  3.46 m 
E)  29.8 m

Question 13

Vector   has a magnitude of 75.0 cm and points at 30° above the positive x-axis. Vector   has a magnitude of 25.0 cm and points along the negative x-axis. Vector   
has a magnitude of 40.0 cm and points at 45° below the negative x-axis.
(a)Determine the x and y components of Vector   .
(b)Determine the x and y components of Vector   .
(c)Determine the x and y components of Vector   .
(d)Determine x and y components of the sum of these three vectors.
(e)Determine the magnitude and direction of the sum of these three vectors.

Accepted Answer

(a)A_x = 65 cm,A_y = 38 cm (b)B_x =

Question 14

A helicopter is flying horizontally with a speed of 444 m/s over a hill that slopes upward with a 2% grade (that is,the "rise" is 2% of the "run").What is the component of the helicopter's velocity perpendicular to the sloping surface of the hill?

Accepted Answer

A)  8.9 m/s 
B)  220 m/s 
C)  435 m/s 
D)  444 m/s 
A)  8.9 m/s 
B)  220 m/s 
C)  435 m/s 
D)  444 m/s

Question 15

The figure shows two forces acting at right angles on an object.They have magnitudes F1 = 6.3 N and F2 = 2.1 N. What third force will cause the object to be in equilibrium (acceleration equals zero)?

Accepted Answer

A)  6.6 N at 162° counterclockwise from   1 
B)  6.6 N at 108° counterclockwise from   1 
C)  4.2 N at 162° counterclockwise from   1 
D)  4.2 N at 108° counterclockwise from   1 
A)  6.6 N at 162° counterclockwise from   1 
B)  6.6 N at 108° counterclockwise from   1 
C)  4.2 N at 162° counterclockwise from   1 
D)  4.2 N at 108° counterclockwise from   1

Question 16

A rescue plane flying horizontally at 72.6 m/s spots a survivor in the ocean 182 m directly below and releases an emergency kit with a parachute.Because of the shape of the parachute,it experiences insignificant horizontal air resistance.If the kit descends with a constant vertical acceleration of 5.82 m/s2,how far away from the survivor will it hit the waves?

Accepted Answer

A)  574 m 
B)  4.54 km 
C)  406 m 
D)  602 m 
A)  574 m 
B)  4.54 km 
C)  406 m 
D)  602 m

Question 17

If all the components of a vector are equal to 1,then that vector is a unit vector.

Accepted Answer

A) True 
 B)False

Question 18

Two automobiles traveling at right angles to each other collide and stick together.Car A has a mass of 1200 kg and had a speed of 25 m/s before the collision.Car B has a mass of 1600 kg.The skid marks show that,immediately after the collision,the wreckage was moving in a direction making an angle of 40° with the original direction of car A.What was the speed of car B before the collision,assuming that any other unbalanced forces are negligible?

Accepted Answer

A)  16 m/s 
B)  18 m/s 
C)  11 m/s 
D)  21 m/s 
E)  14 m/s 
A)  16 m/s 
B)  18 m/s 
C)  11 m/s 
D)  21 m/s 
E)  14 m/s

Question 19

Two blocks are connected by a string that goes over an ideal pulley as shown in the figure and pulls on block A parallel to the surface of the plane.Block A has a mass of 3.00 kg and can slide along a rough plane inclined 30.0° to the horizontal.The coefficient of static friction between block A and the plane is 0.400.What mass should block B have in order to start block A sliding up the plane?

Accepted Answer

The answer of Two blocks are connected by a string...

Question 20

The figure shows two forces,each of magnitude 4.6 N,acting on an object.The angle between these forces is 40°,and they make equal angles above and below the horizontal.What third force will cause the object to be in equilibrium (acceleration equals zero)?

Accepted Answer

A)  8.6 N pointing to the right 
B)  7.0 N pointing to the right 
C)  4.3 N pointing to the right 
D)  3.5 N pointing to the right 
A)  8.6 N pointing to the right 
B)  7.0 N pointing to the right 
C)  4.3 N pointing to the right 
D)  3.5 N pointing to the right

Exam 10: Motion in a Plane

A traffic light weighing 100 N is supported by two ropes as shown in the figure. The tensions in the ropes are closest to

A 5.00-kg box slides 4.00 m across the floor before coming to rest. What is the coefficient of kinetic friction between the floor and the box if the box had an initial speed of 3.00 m/s?

A 4.00-kg block rests on a 30.0° incline as shown in the figure. If the coefficient of static friction between the block and the incline is 0.700,what magnitude horizontal force F must act on the block to start it moving up the incline?

A pilot drops a package from a plane flying horizontally at a constant speed.Neglecting air resistance,when the package hits the ground the horizontal location of the plane will

The components of vector are Ax = + 3.90 and Ay = -4.00.What is the angle measured counterclockwise from the +x-axis to vector ?

A rectangular box is positioned with its vertices at the following points: A = (0,0,0) C = (2,4,0) E = (0,0,3) G = (2,4,3) B = (2,0,0) D = (0,4,0) F = (2,0,3) H = (0,4,3) If the coordinates all have three significant figures,the angle between the line segments AG and AH is closest to:

The value of the dot product of two vectors depends on the particular coordinate system being used.

You walk 53 m to the north,then 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.

Vector = 1.00 + -2.00 And vector = 3)00 + 4)00 What are the magnitude and direction of vector = + ?

A box is sliding down an incline tilted at a 12.0° angle above horizontal. The box is initially sliding down the incline at a speed of 1.50 m/s. The coefficient of kinetic friction between the box and the incline is 0.340. How far does the box slide down the incline before coming to rest?

Object A has a position as a function of time given by A(t)= (3.00 m/s)t + (1.00 m/s2)t2 Object B has a position as a function of time given by B(t)= (4.00 m/s)t + (-1.00 m/s2)t2 All quantities are SI units.What is the distance between object A and object B at time t = 3.00 s?

A helicopter is flying horizontally with a speed of 444 m/s over a hill that slopes upward with a 2% grade (that is,the "rise" is 2% of the "run").What is the component of the helicopter's velocity perpendicular to the sloping surface of the hill?

The figure shows two forces acting at right angles on an object.They have magnitudes F1 = 6.3 N and F2 = 2.1 N. What third force will cause the object to be in equilibrium (acceleration equals zero)?

If all the components of a vector are equal to 1,then that vector is a unit vector.

The figure shows two forces,each of magnitude 4.6 N,acting on an object.The angle between these forces is 40°,and they make equal angles above and below the horizontal.What third force will cause the object to be in equilibrium (acceleration equals zero)?

Foundations

A: Foundations

Motion in One Dimension

Acceleration

Momentum

Energy

Principle of Relativity

Interactions

Force

Work

Motion in a Circle

Torque

Gravity

Special Relativity

Periodic Motion

Waves in One Dimension

Waves in Two and Three Dimensions

Fluids

Entropy

Energy Transferred Thermally

Degradation of Energy

Electric Interactions

The Electric Field

Gausss Law

Work and Energy in Electrostatics

Charge Separation and Storage

Magnetic Interactions

Magnetic Fields of Charged Particles in Motion

Changing Magnetic Fields

Changing Electric Fields

Electric Circuits

Electronics

Ray Optics

Wave and Particle Optics

Filters

The components of vector are A_x = + 3.90 and A_y= -4.00.What is the angle measured counterclockwise from the +x-axis to vector ?

Object A has a position as a function of time given by _A(t)= (3.00 m/s)t + (1.00 m/s²)t² Object B has a position as a function of time given by _B(t)= (4.00 m/s)t + (-1.00 m/s²)t² All quantities are SI units.What is the distance between object A and object B at time t = 3.00 s?

The figure shows two forces acting at right angles on an object.They have magnitudes F₁ = 6.3 N and F₂ = 2.1 N. What third force will cause the object to be in equilibrium (acceleration equals zero)?