1. Some review problems Physics I, final exam
These problems combine concepts from multiple chapters.
One of these specific problems will be on the final.
Note that the given variables are given in red, and the symbolic answers should have only these and constants in the equations.

2. From the final exam front page!
Provide clearly readable answers to the questions in the space provided or on additional sheets.
In all cases, clearly box your final answer
In all cases, your symbolic answers must be in terms of the given info.
Show all work to obtain full credit.
Attach additional pages if necessary to show additional work.
There are 152 points total.
A calculator is necessary.
An equation sheet is provided on the last two pages.
For gravity you should use g = 9.8 m/s2
You must report proper units and correct significant figures when possible.

3. a. To use in class….
what friction coefficient needed to keep a kid on a merry go round.
Write the x,v,a plots for my motion
2d collision
Loggerpro data of pendulum oscillation
Jan-2 file: energy, vmax, A, q, T, f
Block mass M accelerates up a slope q with pull of rope by pulley and mass m. What is a?

4. 1.
A car of mass M coasts down a ramp of height h without friction and then brakes to a stop on a flat road in distance L.
What is the velocity at the bottom of the ramp?
What is the acceleration during braking?
How much heat energy is generated by the brakes?
What power is generated by the brakes.
What is the coefficient of friction during the stop.

5. 2.
A man mass M jumps from a building height H to a trampoline that goes down a distance x. It then delivers that spring energy to launch the man at 450 across the street.
What is the spring constant?
How far away from the tramp does the man land?
Does it hurt?
How high does he bounce in projectile flight?
How much heat does he generate when he lands?

6. 3.
A helicopter rotor of radius r is spinning at w0. A small piece of mass M breaks off the tip of a rotor and skids a distance L to a stop on the runway. (neglect the vertical drop it had)
Calculate the coefficient of friction between the rotor piece and the concrete.
How fast was the piece going after it broke off but before it started skidding?
(note that the second part is needed before the first part can be answered.)

7. 4.
I have a metal hoop of radius R and mass M that I roll on the ground at speed V.
How far L up a slope of angle q will the hoop roll before it stops?
If I double the mass, how far will it roll up the slope?
If I double the speed, how far?
*If I paint it red, how far?

8. 5.
This is WonderWoman pushing with horizontal force F a car of mass M for time T.
a. How fast is the car going if it started at rest?
After WW stops pushing, Diabolical Man then drops a boulder straight down of mass 2M onto the car.
b. What is its new speed?
Then the car enters a flat curve of radius R.
c. What friction coefficient is necessary to keep the car from sliding on the curve?
The car then hits Stupendous Student who stops the car in time T (yes, the same time T as WW pushed the car).
d. *What average force did the car put on Stupendous Student?

9. 6.
Support 1
Support 2
A car of mass M drives out on this beam of mass m and length L at speed V. The supports are ¾ L apart and height h.
Derive a relation for mass m necessary so the beam doesn’t tip as the car reaches the end.
How far from the end of the beam will the car fly horizontally before it hits the ground?
How much energy will the car have when it hits the ground?
A car of mass M drives out on this beam of mass m and length L at speed V. The supports are ¾ L apart and height h.
Derive a relation for mass m necessary so the beam doesn’t tip as the car reaches the end.
How far from the end of the beam will the car fly horizontally before it hits the ground?
How much energy will the car have when it hits the ground?

10. 7.
*A block of width W and height H and mass M with uniform density is on a adjustable ramp with coefficient of friction ms. I lift the ramp and the box either tips over or slides. What is the critical ms so that the block slides just before it tips? Hint, find angle q of tipping the box and the m needed to keep it from slipping at this angle.

11. 8.
I have a piano of mass m on a ramp with coefficients of friction ms and mk. I raise the ramp until the piano slips free and then it slides down distance L.
What is q where it starts sliding?
How fast is the piano going at the bottom?
It then hits a man of mass M at the bottom.
c. What is the velocity of the piano after the man is stuck to the front of the moving piano?

12. 9.
Clay Man, mass M and speed Vc, and his arch rival, Putty Woman, mass m at speed Vp, are racing from different places to grab the Lucky Locket of Lichtenstein. They collide at an angle of 300 (angle difference from head-on) and stick together.
What is their final velocity?
How much energy is lost in this collision?

13. 10.
A block of mass 450g is dragged on the counter to give this data shown.
What is ms and mk?

14. 11. Demo PP cannon
If the pingpong cannon length L is shot, and the force on the ball mass m is constant F=P A, then
what is predicted acceleration in tube?
What is predicted v at end of gun of length L?
What is predicted energy at the end?
The ball hits the paper towel roll of mass M which slides distance x with m given
d. What work was done on the roll?

15. 12. Mass spring collision
A block M is attached with spring k to a wall, on frictionless table. A ball of clay mass m and horizontal velocity v hits the block and sticks and it all starts to oscillate. Derive
Period
Amplitude
max velocity
energy
*If instead, there is friction m, then what is remaining energy after 1 full cycle?

16. 13. Pendulum
A bowling ball mass 4.0 kg is hung from a rope length 2.0m. I hold the rope parallel to the ground and let go. At the bottom, the ball hits a large block of clay of mass 30.kg that sticks. Find:
velocity of ball before collision
Velocity of ball after collision
tension in rope before I let go
tension in rope before the collision
Frequency of swing after collision
*Height of swing after collision

17. 14. Ball rolling
I roll the bowling ball mass M down the level floor of the hall, length L in time T (you can assume it doesn’t slow down during this roll). To get the ball started, I pushed it for distance D and then let go. At the end, the ball hits the wall and stops.
What is acceleration of my push?
What is force of my push?
What is the energy of my push?
What is average power of my push?
What impulse is delivered from the wall to the ball at the end?
*How much energy is delivered to the wall at the end?

18. 15. Throw the ball
I throw the timer ball and it lands in 1.5 s and has max height of 0.75m.
What is distance R?
What is initial velocity?
What energy does it have in flight?

19. *Galileo’s paradox
An object falling frictionlessly along any chord from the top of a circle will hit the circle edge at the same time.
Challenge problem:
Prove this.

20. The cycle of each chapter