1. __________ is not one of the seven types of energy.                                                           
    1. Vibrational
    2. Light
    3. Electrical
    4. Heat

 

  1. The Work-Energy Theorem suggests that
    1. the energy before a reaction is the same as the energy after a reaction, but changed in form.
    2. an object in motion tends to stay in motion.
    3. the moving energy of an object is the result of the work done on it.
    4. two objects can be superpositioned if their work is the same as their energy.

 

  1. Circle the best italicized word to complete the statement.  IMA :: MA is the theoretical advantage of using a machine.

 

  1. The basic principle of a machine is
    1. that work in equals work out.
    2. a change in force or direction of force results in a change in work.
    3. to trade force for distance.
    4. a & b
    5. b & c
    6. a, b, c
    7. none

 

  1. What is the unit for mechanical energy?
    1. none
    2. J
    3. N·s
    4. W

 

  1. The law of conservation of energy can best be described by
    1. electricity converting to light.
    2. the conversion of energy to work.
    3. the work output by a machine.
    4. the force output by a machine.

 

  1. The unit for work is
    1. J·s
    2. N·m
    3. N
    4. kg/s2

 

  1. Spring constant is
    1. only applicable to non-variable forces.
    2. a measure of the stiffness of the spring.
    3. measured in N/kg·s
    4. a & b
    5. b & c
    6. all of the above
    7. none of the above

 

  1. Speed is a                                                                                                                            
    1. vector quantity.
    2. scalar quantity.

 

  1. A vector shows                                                                                                                    
    1. magnitude.
    2. magnitude and space.
    3. space and direction.
    4. magnitude and direction.

 

  1. Displacement refers to a change in                                                                                      
    1. time.
    2. position.
    3. velocity.
    4. acceleration.

 

  1. Average velocity can be found from the _________ of a __________ versus time graph. 
    1. tangent, velocity
    2. transient, distance
    3. area, distance
    4. slope, velocity
    5. slope, distance

 

  1. The area under the curve of an velocity-time graph gives                                                   
    1. displacement.
    2. average velocity.
    3. instantaneous velocity.
    4. average acceleration.

 

  1. Average acceleration is equal to ________________ over the change in time.                  
    1. the change in distance
    2. the change in velocity
    3. the change in displacement
    4. the slope of the velocity

 

  1. _____ is the standard unit for velocity.                                                                               
    1. m/s
    2. m/s2
    3. s
    4. –m/s

 

 

  1. _____ is the standard metric unit for acceleration.                                                             
    1. m/s
    2. m/s2
    3. s
    4. –m/s

  2. km/hr/s would be a unit to measure what quantity?
    1. Position
    2. Velocity
    3. Acceleration
    4. Force applied

 

  1. What three pieces of information can be read from a distance-time graph?                        
    1. starting point, direction, velocity
    2. initial velocity, direction, average speed
    3. initial velocity, direction, acceleration
    4. starting point, direction, force applied.

 

  1. What information can be gleaned from a velocity-time graph?                                            
    1. starting point, direction
    2. starting point, direction, initial velocity
    3. starting point, direction, acceleration
    4. direction, initial velocity, acceleration

 

  1. _________ is the magnitude of acceleration due to gravity.                                               
    1. 9.80 m/s2
    2. -9.80 m/s2
    3. 9.08 m/s2
    4. -9.08 m/s2

 

  1.  

1)      Determine the net force that acts on an object that has a 40N force acting to the right and a 30N force acting to the left. ___________

 

2)      ___________ and ­­­­___________ are required to have a vector quantity

 

3)      The force (tension) in the rope supporting a 20N bag of apples is ­­­­­­­­­­­­­­_________________

 

4)      The net force acting on an object that is at rest is ___________.

 

5)      The acceleration for an object moving at a constant speed is ____________

 

6)      ________________ is given to the property of an object to resist changes in motion?

 

7)      The quantity of __________________ is used to “measure” inertia.

 

8)      ____________ is the SI unit for mass.

 

9)      _____________is the SI unit for weight.

 

10)  If an object is at rest on a table while a 32N force acts on the object.  The object doesn’t move because ___________ is too great to allow it to move.

 

11)  Net forces produce______________

 

12)  For any given mass, when the net force increases, the acceleration ___________

 

13)  ________________  is to resist changes in motion.

 

14)  _________________always opposes motion.

 

15)  Force is a push or pull and pressure is a ________________ per __________

 

16)  ____________ is the SI unit for force.

 

17)  ______________is the acceleration of a falling object when it reaches terminal speed.

 

 

  1. A man pushes a 65 kg box up a 3 m, frictionless ramp, angled at 30º.  Determine the    [2]

work he does on the box.

 

  1. A spring is stretched out 10 cm from its resting position.  Determine the spring constant [2]

if you pulled it with 15 N to the stretch it out.

 

  1. How fast is a marble rolling when it reaches the bottom of a 1 m high ramp?  Assume it started at the top of the ramp.

 

 

  1. If the marble in the above problem kept on rolling, up to the top of the next .3 meter high ramp, how fast would it be rolling at the top of the second ramp?                                                                 

 

 

  1. A 2000 kg car traveling at 35 m/s smashes into Superman (or, for you realistic folks, a [3]

tree).  Determine the work done on the car by Superman/the tree in stopping the car.

 

 

  1. Determine the power Superman has in stopping the car if it comes to a stop in .4 seconds.            [1]

 

 

16.   A nail is extracted from a wall exactly 1 inch (2.54 cm) when you pull on a hammer (a      [3]

lever) with 85 N a distance of .25 m.  Determine the force that the machine exerts on the nail if the hammer is 92% efficient.

 

17. Determine the IMA and AMA of the hammer pulling the nail out.                                 [2]

 

1)      Determine how heavy you will feel when you (mass of 65 kg) are accelerating downward at 7.5 m/s2

 

2)      A box slides down an incline at a constant speed.  Determine the coefficient of friction.  The angle of the incline is 24 degrees above the horizontal.

3)      Determine the force that would be needed to keep a 5 kg box moving at a constant speed if the coefficient of friction between the box and the floor is 0.4

4)      Determine the weight of a 3 kg object.

5)      Determine the resistive force (friction) that acts on a 4 kg box if a 12 N force results in a 2 m/s2 acceleration.

 

6)      A 25 kg box is at rest on the floor.  The surface between the box and the floor have a coefficient of friction of 0.75.  Determine the acceleration of the box if a 12 N force is applied to the box

   

Problems:  Complete each of the following problems showing all mathematical work and tables for full credit. 5 points each.

 

  1. A motorcyclist travels at 55 mi/hr on the highway for 3 hours, how far does he travel? (in miles)

 

  1. The 2008 Audi RS4 Cabriolet goes from 0 – 60 mi/hr in 4.8 s.  What is its acceleration? (in mi/hr/s)

 

  1. At what height did you drop a 5 g penny if it hit the ground in 12 seconds?

 

  1. A kangaroo can jump (vertically) about 3.5 m (no, I’m not kidding).  What is his hang time?

  2. A ball is rolling along on a level surface at 2 m/s.  The ball then comes to a ramp that imparts a constant acceleration of 1.5 m/s2.  Determine the length of the ramp if the ball was traveling at 8 m/s at the bottom of the ramp.

  3. As you stand on a cliff, you throw a ball upward at 14 m/s.  Determine where the ball will be in relation to you (vertically) 5.3 seconds after you release it.  (State a position)

  4. Determine the distance that is needed for a soccer player to accelerate from 2 m/s to 8 m/s if they are able to accelerate at 4 m/s2

 

 

1)      Determine how heavy you will feel when you (mass of 65 kg) are accelerating downward at 7.5 m/s2

 

2)      A box slides down an incline at a constant speed.  Determine the coefficient of friction.  The angle of the incline is 24 degrees above the horizontal.

3)      Determine the force that would be needed to keep a 5 kg box moving at a constant speed if the coefficient of friction between the box and the floor is 0.4

4)      Determine the weight of a 3 kg object.

5)      Determine the resistive force (friction) that acts on a 4 kg box if a 12 N force results in a 2 m/s2 acceleration.

 

6)      A 25 kg box is at rest on the floor.  The surface between the box and the floor have a coefficient of friction of 0.75.  Determine the acceleration of the box if a 12 N force is applied to the box.

 

1)      Any vector quantity must have: (circle all that apply)

A)    Direction

B)    Magnitude

C)    An axis

D)    Resultant

2)      Which term is explained by the following:  This is the rearrangement without changing the magnitude or direction of the vector.

A)    Resolution

B)    Resultant

C)    Transition

D)    Translation

3)       When we add two vectors, we are left with one single "outcome" from adding the two vectors together.  What do we call this vector?

 

A)    Head to Tail

B)    Resultant

C)    Translate

D)    Reference axis

 

4)      What is the difference between a vector quantity and a scalar quantity?

 

A)    Vectors can be added by simple addition

B)    Vectors must be added head to tail

C)    Scalars have magnitude and direction

D)    Scalars must be added head to tail

 

 

5)      Projectiles are...

A)    bodies in free fall

B)    bodies that have motion in two directions

C)    always accelerate downward

D)    Travel horizontally without acceleration

E)     all of the above

 

6)      When solving any projectile problem, the first thing you want to do will be...

A)    Determine the range

B)    Determine how long the object will be in the air

C)    Find an equation that will solve the problem in one step

D)    Use the x-direction to determine the acceleration of the object.

 

7)      Choose the vectors that are added correctly.  The resultant is labeled with the “R”.  The dot serves as the origin, which the starting point. (Ask if you are having a tough time “reading” the diagrams)

 

 

 

 

 

Answer the  questions #9-#11 from the given problem.

A projectile is launched with a muzzle velocity of 24 m/s at an angle of 40 degrees above the horizontal.

 

 

8)      What is the vertical velocity of the projectile?

A)    9.19 m/s

B)    12 m/s

C)    15.4 m/s

D)    10.31 m/s

 

9)      How long will the object be in the air?

A)    3.15 s

B)    1.57 s

C)    0.787 s

D)    2.14 s

 

10)  Determine the range of the projectile

A)    57.9 m

B)    57.9 m/s

C)    27.57 m

D)    7.23 m

 

11)  What will be the max height of the projectile?

A)    3.03 m

B)    127 m

C)    1.34 m

D)    12 m

 

12)  When adding vectors, we are able to translate them, which means to move them around without changing magnitude or direction.  How must the vectors be arranged when they are added?

A)    doesn't really matter, draw the resultant anywhere

B)    so all of the tails touch at the origin

C)    so that all of the heads are at one place

D)    so the vectors are head to tail.

13)  When adding two vectors of magnitude 4m and 3 m, what would be the greatest possible resulting magnitude?  (Assume the two vectors could be in any direction)

A)    1m

B)    2m

C)    3m

D)    4m

E)     none of the above


14)  If a 5 cm arrow represents a velocity of 15 m/s, then what will be used to represent a 21 m/s velocity?

A)    3 cm

B)    15 cm

C)    7 cm

D)    10 cm


15)  Car “A” is following car “B” at a distance of 50m.  Both cars are traveling at 15 m/s.  If car “A” begins accelerating at 2m/s2, how long will it take car “A” to catch car “B”?











16)  A car drives off a cliff that is 12 m high.  If the car was traveling at 12 m/s before going off the level cliff, determine how far out from the base of the cliff the car lands.  Assume the edge of the cliff drops straight down.















17)  A ball is thrown across a level field.  If the ball leaves your hand with a speed of 22 m/s at an angle of 20 degrees above the horizontal, determine how far away a person is that catches the ball.  Assume the ball is thrown and caught at the same height.














18)  Two cars are separated by 400 m (1/4 mile).  The two cars are driving toward each other.  One is driving at 20 m/s and the other at 16 m/s.  How long will it take them to meet?











19)  Given a vector of 4 m @ 12 degrees East of North, determine the eastern component.








20)  Given a vector 12 m North, determine the eastern component.

21)  Directions: Add the two vectors that are given.  This problem will be scored as follows:

- 1pt Drawing vector A

- 1pt Drawing vector B

- 1pt Properly translating one of or both of the vectors

- 1pt Correct magnitude of resultant, within ± 0.5 cm

- 1pt Correct angle of resultant, within ± 3.0 degrees

 

Add the following vectors using the axis supplied:  A+B=R

 

Vector A= 3 cm @ 20 degrees east of north

Vector B= 6 cm @  west