Motion  Diagrams

 

Marsha is moving upward in a hot air balloon at 5 m/s when she drops Harry .  Draw a motion diagram for Harry beginning the instant he is dropped.  Hint:  Try drawing one first beginning 10 seconds before he is dropped!

 

 

 

a.  Draw a motion diagram of an object with positive velocity and positive acceleration.

 

b.  Draw a motion diagram of an object with positive velocity and negative acceleration.

 

c.  Draw a motion diagram of an object with negative velocity and positive acceleration.

 

d.  Draw a motion diagram of an object with negative velocity and negative acceleration.

 

Displacement, Velocity, and Acceleration Curves

 

Construct displacement, velocity and acceleration vs time curves for :

 

A dog walking with constant speed away from home.

 

The cart given a shove then released up the ramp below.

 


Describe the motion of the objects

 

 


The graphs on this page represent the motion of objects along a line which is the positive distance (position) axis.  Notice that the motion of objects is represented by distance, velocity, or acceleration graphs.

 

Answer the following questions.  You may use a graph more than once or not at all, and there may be more correct choices than blanks.  If none of the graphs is correct, answer J.

 

 

            16.  Pick one graph that gives enough information to indicate that the velocity is always negative.

 

Pick three graphs that represent the motion of an object whose velocity is constant (not changing).

 

 

            17.                   18.                   19.

 

 

 

            20.  Pick one graph that definitely indicates an object has reversed direction.

 

 

            21.  Pick one graph that might possibly be that of an object standing still.

 

 

Pick 3 graphs that represent the motion of objects whose acceleration is changing.

 

 

            22.  23.            24.

 

 

Pick a velocity graph and an acceleration graph that could describe the motion of the same object during the time shown.

 

 

            25.  Velocity graph.

 

 

            26.  Acceleration graph.

 

 


13.  The following is a velocity-time graph for a car.

 

 

 

 

What is the average acceleration of the car?  Show your work below.

What is the total change in displacement of the object between time = 2 sec and time = 8 sec ?

 

The following is an acceleration vs time graph for a car

What is the total change in velocity between t = 2sec and t = 6 sec ?

 

Kinematic Eq of Motion

 

 

A metro train in Washington, D.C., starts from rest and accelerates at 2.0 m/s2 for 12 s.  The train travels at a constant speed for 65 s.  The speed of the train then decreases for 24 s until it comes to a stop.  What is the total distance between stops?

 


Projectile Motion

 

Chapter 4 Newton's Laws of Motion Force and Velocity Vectors

 

1. Draw sample vectors to represent the force of gravity on the ball in the positions shown above (after it leaves the thrower's hand). Neglect air drag.

            2. Draw sample bold vectors to represent the velocity of the ball in the positions shown above. With lighter vectors, show the horizontal and vertical components of velocity for each position. Neglect air drag.

 

3. (a) Which velocity component in the previous question remains constant? Why?

 

 

(b) Which velocity component changes along the path? Why?

 

Mathematical Aspects

 

Conceptual and physical aspects are essential, and the best way to begin a study of projectile motion.  However, projectile motion problems can appear to be a vast array of "types" of problems to learn, unless you get mathematical!

 

So how many different ways are there to slice this apple, really?  How many numbers in each of the following problems?

 

                                                       

 

             

 

 

 

 

 

 


A)  5 kg Mass

 

B)  50 kg mass

 

C)  They both go the same height, but it takes the 50 kg mass longer to get to that height.

 

D)  The both go the same height in the same time.

 

 


A)  5 kg Mass

 

B)  50 kg mass

 

C)  They both go the same height, but it takes the 5 kg mass longer to get to that height.

 

D)  The both go the same height in the same time.           
5.
A battleship simultaneously fires two shells toward two enemy ships, one

close by (A), one far away (B).The shells leave the battleship at different

angles and travel along the parabolic trajectories indicated below.Which

of the two enemy ships gets hit first? Explain.

 

 


FBD's

 

 

 

 

Determine the normal force on each block below

 

An 80 kg student is lifted from rest to a height of 10 m by a rope that passes around a pulley.  An 84 kg block is attached to the other end of the rope.

 

 

 

The elevator shown at right is initially moving upward at 12 m/s.  The force of the bottom rope on the bottom box is 675 N.

Energy

If she pushes the barrel with constant velocity,

           What is the net work done on the barrel?

What is the work done on the barrel by gravity? 

         What is the work done by the stevedore?

 

 

 


QUESTION 3: A bottle dropped from a balcony strikes the sidewalk with a particular !speed. To double the speed of impact you would have to drop the bottle from a balcony that is

 

1. twice as high                 

 

2. three times as high

 

3. four times as high

 

4. five times as high

 

5. six times as high

 

6. eight times as high

 

7. impossible to determine

 

 


How much energy is required to slow a 500 kg  boat from 20 m/s  to 5 m/s ?

 

How much energy is required to hurl Chicopee  (mass = .3 kg) to a height of 40 m above the ground?

 

14.  A truck initially at rest at the top of a hill is allowed to roll down without friction. At the bottom its speed is 4 m/s. Next, the truck is again rolled down the hill without friction, but this time it does not start from rest. It has an initial speed of 3 m/s on top, even before it starts going down the hill. How fast is it going when it gets to the bottom?

1.  3 m/s

 

2. 4 m/s.

 

3. 5 m/s.

 

4. 6 m/s.

 

5. 7 m/s

 

 A  childŐs toy consist of a piece of plastic attached to a spring  (Figure below).  The spring is compressed 2.0 cm, and the toy is released.  If the mass of the toy is 100 g and it rises to a maximum height of 60 cm, what is the spring stiffness constant of the spring?

 


Rotational Motion

 

Find the moment of inertia

 

Inner radius is a, outer radius is 2a, all masses are m

 

if pivot point is at center

if pivot point located

            

 

 

Rot Kinetic Energy

A 20 kg sphere with radius 2 m  rolls on table top with a speed of 30 m/s.  What is itŐs total kinetic energy?

 

 

A solid disk has a speed of 30 m/s at the bottom of a 37ˇ incline.  How far up the incline does it roll before coming to a halt?

 

 

 Conservation of Linear momentum

A 60 kg kid on a 200 kg bumper car is moving to the east at 30 m/s.  He has a head-on perfectly elastic collision with another identical car that is moving west at 30 m/s and containing two large adults.  The kidŐs car bounces back in the direction from which he came at a speed of 100 m/s, while the adults car bounces backward at a speed of 5 m/s, how much do the two large adults weigh in newtons?

 


Impluse

 


Impulse - Momentum

A force of 500 N is applied to a wagon of mass 400 kg opposite itŐs direction of motion for 1 minute.

 What is itŐs change in velocity?

What is it's power output?

 

Rotational Dynamics, Torque

 

Moment of inertia of the wheel is I.  What kind of questions could we ask?

 

 

Static Equilibrium

 

Which tension is the greatest ?