Physics 2A Final Exam Study Guide
Chapters covered on the Exam:
Chapter 1 (all sections)
Chapter 2 (all sections)
Chapter 3 (all sections)
Chapter 4 (all sections)
Chapter 5 (all except 5.6 & 5.7)
Chapter 6 (all except 6.5)
Chapter 7 (all except 7.5 & 7.6)
Chapter 8 (all sections)
Chapter 9 (9.1 & 9.2 only)
Chapter 10 (10.1, 10.2, 10.4 only)
Chapter 11 (all except 11.5)
Chapter 12 (12.1 & 12.2 only)
Note:
· This is not meant to cover everything on the exam, it is instead meant to focus your studying. If you can do these problems, you are in good shape!
· MOST OF THESE PROBLEMS ARE MORE DIFFICULT THAN THE ONES ON THE EXAM. DON’T BE DISCOURAGED IF IT TAKES YOU MANY TRIES AND HELP TO GET THE CORRECT SOLUTION.
· Problems from chapter 12 are not on here because we did them recently. See most recent homework.
Example Problems:
KINEMATICS
Chapter 2 problem # 63
A ball is thrown upward from the ground with an initial speed of 25 m/s; at the same instant, another ball is dropped from a building 15 m high. After how long will the balls be at the same height?
VECTORS
Chapter 3 problem # 51
A rocket is launched at an angle of 53.0° above the horizontal with an initial speed of 100 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 30.0 m/s2. At this time, its engines fail and the rocket proceeds to move as a projectile. Find (a) the maximum altitude reached by the rocket, ONLY DO IF TIME (b) its total time of flight, and (c) its horizontal range.
FORCES
Chapter 4 problem #15
After falling from rest from a height of 30 m, a 0.50-kg ball rebounds upward, reaching a height of 20 m. If the contact between ball and ground lasted 2.0 ms, what average force was exerted on the ball?
Chapter 4 problem #33
A 276-kg glider is being pulled by a 1 950-kg airplane along a horizontal runway with an acceleration of a = 2.20 m/s2 to the right Find (a) the thrust provided by the airplane’s propellers and (b) the magnitude of the tension in the cable connecting the airplane and glider.
Chapter 4 problem # 47
The coefficient of static friction between the 3.00-kg crate and the 35.0° incline is 0.300. What minimum force :F must be applied to the crate perpendicular to the incline to prevent the crate from sliding down the incline?
ENERGY
Chapter 5 problem #37
Tarzan swings on a 30.0-m-long vine initially inclined at an angle of 37.0° with the vertical. What is his speed at the bottom of the swing (a) if he starts from rest?(b) If he pushes off with a speed of4.00 m/s?
Chapter 5 problem #45
A 2.1 x 103-kg car starts from rest at the top of a 5.0-m-long driveway that is inclined at 20° with the horizontal. If an average friction force of 4.0 x 103 N impedes the motion, find the speed of the car at the bottom of the driveway.
MOMENTUM
Chapter 6 # 45
A 25.0-g object moving to the right at 20.0 cm/s over- takes and collides elastically with a 10.0-g object mov- ing in the same direction at 15.0 cm/s. Find the veloc- ity of each object after the collision.
Chapter 6 #59
A 730-N man stands in the middle of a frozen pond of radius 5.0 m. He is unable to get to the other side because of a lack of friction between his shoes and the ice. To overcome this difficulty, he throws his 1.2-kg physics textbook horizontally toward the north shore at a speed of 5.0 m/s. How long does it take him to reach the south shore?
ROTATIONAL MOTION
Chapter 7 # 17
a) What is the tangential acceleration of a bug on the rim of a 10.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 78.0 rev/min in 3.00 s? (b) When the disk is at its final speed, what is the tangential velocity of the bug?
Chapter 7 #51
An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.800 m at an angular speed of 0.500 rev/s. What are (a) the tangential speed of the ball and (b) its centripetal acceleration? (c) If the maximum tension the rope can withstand before breaking is 100 N, what is the maximum tangential speed the ball can have?
TORQUES & ROTATIONAL ENERGY
Chapter 8 # 37
A model airplane with mass 0.750 kg is tethered by a wire so that it flies in a circle 30.0 m in radius. The airplane engine provides a net thrust of 0.800 N perpendicular to the tethering wire. (a) Find the torque the net thrust produces about the center of the circle. (b) Find the angular acceleration of the airplane when it is in level flight. (c) Find the linear acceleration of the airplane tangent to its flight path.
Chapter 8 #45
A light rod of length 1.00m rotates about an axis perpen dicular to its length and passing through its center. Two particles of masses m1 4.00 kg and m2 3.00kg , are connected to the ends of the rod. (a) Neglecting the mass of the rod, what is the system’s kinetic energy when its angular speed is 2.50 rad/s? (b) Repeat the problem, assuming the mass of the rod is taken to be 2.00 kg.
CALORIMERTY
Chapter 11 # 29
75kg Cross-country skier:
The coefficient of friction between skis and snow is 0.20. Assume all the snow beneath her skis is at 0°C and that all the internal energy generated by friction is added to snow, which sticks to her skis until it melts. How far would she have to ski to melt 1.0 kg of snow?
Chapter 11 #37
A 3.00-g lead bullet at 30.0°C is fired at a speed of 2.40 x 102 m/s into a large, fixed block of ice at 0°C, in which it becomes embedded. (a) Describe the energy transformations that occur as the bullet is cooled. What is the final temperature of the bullet? (b) What quantity of ice melts?