8 pages, do 2 of the first 4, and 2 of the last 4:
Do 2 of these 4:
Page 1 - A car slowing down from. Find acceleration, distance, time, distance, initial velocity
Like How Far #1, 2, 5, 7
Page 2 - A airplane speeding up from rest. Vavg, time, acceleration , time position vs time graph
How Far #3, 8
Page 3 - Dynamics - F = ma - Frictionless stage set. Acceleration, final velocity, time, person helping you, force opposing you
Newton's Second Law #1, 5, Net Force #1, 3
Page 4 - Dogs pulling a sled with friction. Weight, force to start, force to keep it going, Acceleration if some force is applied, Force for certain acceleration.
Friction #4, 5, 7, 8
Do 2 of these 4:
Page 5 - Person runs off a cliff. how far out they go, time in the air, speed of impact.
2 Dimensional Motion #1, 2, Son of 2 Dimensional Motion #1, 2
Page 6 - Momentum. Basic momentum, impulse, person jumping from a cart
Conservation of Momentum #3, 4, 5
Page 7 - Moon orbiting a planet. force of gravity, orbital speed, acceleration. Force, black holes.
Orbit and Gravity #1, 2
Page 8 - Astrophysics. pc to LY, calculate Hubble constant, calculate wavelength, calculate parallax, question about rotation of planets.
Astro #1, 12, 14, 6
Mock Final .:.MockGFinal.doc
Ultimate Cheat Sheet - The formulas:
1. A car slows from 34 m/s to 12 m/s in 17 seconds.
Problems 1, 2, 5:
A. What was its acceleration? (-1.29 m/s/s)
B. What distance did it cover in this time? (391 m)
2. An Airplane reaches 54 m/s on a runway 812 m long using every bit of the runway.
(Problems 1, 2, and 5 were solved together - see problem #1)
A. What was the airplane’s acceleration? (1.80 m/s/s)
B. What was its velocity when it was half way down the runway? (38.2 m/s)
3. An 820 kg stage set rests on frictionless air bearings. A person pushes on it with a force of 65 N for 50 seconds.
Problems 3 and 4:
A. What is the final velocity if it was initially at rest? (3.96 m/s)
B. What would be the acceleration if there had had been a friction force of 20 N? (0.0549 m/s/s)
4. A dog sled has a mass of 155 kg and there is a coefficient of static friction of .23, and a kinetic coefficient of .13.
(Problems 3 and 4 were solved together - see problem #3)
A. What is the acceleration if the sled is already moving, and the dogs exert a force of 410 N? (1.37 m/s/s)
B. What force would the dogs need to exert to make the sled accelerate in the direction they pull at 4.5 m/s/s? (895 N)
5. A ball leaves the edge of a 9.5 m tall cliff with a purely horizontal velocity of 4.7 m/s?
(Problems 1, 2, and 5 were solved together - see problem #1)
A. How far from the base of the cliff does the ball land? (6.54 m)
B. What speed should the ball go to land 17 m from the base? (12.2 m/s)
6. Bob has a mass of 65 kg, and is riding on a 37 kg cart to the right at 3.5 m/s.
A. If he jumps off the back with a velocity of 2.1 m/s to the left, what is the cart’s velocity after he jumps off? (13.3 m/s right)
B. What velocity must he jump off with to give the cart a velocity of 18.1 m/s to the right? (-4.81 m/s (left))
7. A planet has a mass of 3.5x1024 kg, and has a 7.26x1021 kg moon that orbits at a distance of 3.4x108 m.
Also see the review page for the gravity and circular motion page:
Super Bonus (Boring) Video - Cheat Sheet Smackdown on Orbit Problems!!!!!!!!!!!
A. What is the force of gravity between the moon and the planet? (1.47x1019 N)
B. What is the moon’s orbital velocity? (828 m/s)
8. The Oobleck Galaxy is receding at 4300 km/s. (1 Mpc = 1x106 pc, 1 pc = 3.26 LY, c = 3.00x108 m/s)
A. Calculate the distance to this galaxy in light years, using a Hubble constant of 71 km/s/Mpc. (1.97x108 LY)
B. At what wavelength do we observe its 656 nm spectral line? (665 nm)