Two past exams (including
two finals) with no solutions and a couple of first and second exams with their
First Exam Solutions Archives.
Second Exam Solutions Archives.
4A Lab Exercise Manual (not fully
developed yet and never will be.)
One dimensional kinematics:
Homework Set 1
Other problems of interest with solutions:
Find the distance a falling ball travels with
respect to the earth when it falls from the ceiling to the floor of an
Finding the ratio of two heights for two
vertically colliding balls.
Flower pot falling past a window
The time it takes for two
missles to collide
The distance at which a speeding car (with zero
acceleration) and a cop car (zero initial velocity and acceleration, a) meet
The total time it takes a police car to catch a
speeding car after the police car has accelerated to a maximum velocity.
Finding the distance (relative to the ground) a
ball travels when released from the ceiling of an elevator (of height H) which
moves at constant velocity upward. This is a rather "plodding"
solution of mine, not very elegant, but it gets the job done.
Finding the time of flight of a ball dropped from an
elevator moving upward at constant velocity as viewed from the ground.
Two dimensional kinematics:
Other Problems of interest with solutions:
Finding the total horiztontal distance
travelled from the origin by the second of two pieces after a horizontal
explosion at the top of a projectile's flight. The solution
is not entirely proved in detail but is acceptable.
Finding the final speed of a horizontally projected
object knowing its initial launch height and range.
Finding the "point of aim", D, veritcally
above a target on level ground with the launched projectile in terms of the
range and initial speed.
Finding the initial firing angle of a ball with
respect to the ground tossed vertically upward from a horizontally moving
Showing that the final speed of a
projectile is independent of its initial firing angle
Finding the maximum range of a projectile
Seven pages of kinematics examples with vectors
page 1: page 2:
page 3: page 4: page 5: page 6: page 7
An example of relative velocity in navigation:
A ferry boat crossing a river (Page One)
A ferry boat crossing a river (Page Two_
Newton's laws (no friction and no circular motion)
Homework Set 3
Finding the two different accelerations involving
sliding friction between two bodies.
Accelerometer (Finding the acceleration of a
mass by the angle its supporting string makes with the veritcal.)
Finding the force between two blocks
when one of them is pushed by an applied force
Finding the acceleration (relative to the earth)
of the two masses in an Atwood's machine when the machine is in an accelerating
elevator, as worked from the non-inertial frame of the elevator and then
transferred with an acceleration "mnemonic" into the earth's frame.
Solution by Jamie Mcguire, De Anza physics major.
Finding the acceleration (relative to the
ground) of the heavier of two masses in an Atwood's machine when the machine is
in an accelerating elevator as worked from the inertial frame of the earth.
The accelerating elevator problem,
but finding the tension force.
more on Newton's laws with friction and/or
Homework Set 4
Exam 1 after this chapter
Work and Kinetic Energy
Homework Set 5
How much work to raise a rope
from a table at constant kinetic energy.
Actually, the question SHOULD ask how much work to raise the
rope at constant velocity!!
At constant kinetic energy, its a different problem. Do you
The general work-energy theorem
Homework Set 6
Find the potential energy function for a
mass attached to pendulum and a spring as a function of the displacement
Finding the final speed of a mass released from
rest while attached to a pendulum and a spring.
Finding the tension from a string of
length l on a mass at the top of its swing after it has swung down from a
and hit a fixed peg a distaince D below the top of the swing. (See the
diagram on the solution)
Finding the maximum distance a mass
slides up an inclined plane after being launched by a spring
The tension on a mass at the bottom of its swing from
a horizontal position initially at rest.
Finding the maximum compression
of a spring when a weight is dropped onto it
Finding the maxiumum kinetic energy of a
falling body as it compresses a spring.
Center of mass and momentum conservation
Homework Set 7
Finding the average force on a digital balance from a
stream of small masses boucing onto and away from it.
Finding the maximum
compression of a spring between two masses that are each moving while they
Finding the horizontal speeds of a mass
and the wedge the mass it just slid down on.
The force as a function of time on a
pan balance as a rope is allowed to fall onto it.
How far a cart moves
when a mass on the cart moves from one side to the other
Rotational kinematics and dynamics
Homework Set 8
Finding the speed of the tip of a
rod hanging initial at rest from a pivot on the other end after being struck by
an impulsive force.
Finding the speed of a
point mass attached to a disk after it has rotated with the disk from the top
to the bottom of its path.
tension force on a hanging mass from a string wound around a rotating sphere.
Exam 2 should be here
Universal Law of Gravitation
Homework Set 9
Finding the tension force between two equal
masses (tied together with a stretchless rope of length l) as they together
freely accelerate toward a planet (i.e., finding the tidal force on a body).
Finding the distance of closest approach
of a body with a non-zero initial velocity infintely far away from a fixed
Finding the velocity of one of two
masses approaching each other under mutual gravitational attraction (find the
Finding the force from a sphere on a
Finding the relation between
the orbit speed and the escape velocity of a body