Physics 4A

Two past exams (including
two finals) with no solutions and a couple of first and second exams with their
solutions:

First Exam Solutions Archives.

Second Exam Solutions Archives.

4A Lab Exercise Manual (not fully
developed yet and never will be.)

**One dimensional kinematics:**

**Other problems of interest with solutions:**

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
again.

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:****
**Homework Set
2

**Other Problems of interest with solutions:**

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.

Finding the force between two blocks when one of them is pushed by an applied force

The accelerating elevator problem, but finding the tension force.

**more on Newton's laws with friction and/or
circular motion **

Exam 1 after this chapter

**Work and Kinetic Energy**

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
see why?

**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 angle.

Finding the final speed of a mass released from rest while attached to a pendulum and a spring.

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**

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
**

Finding the
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
planet.

Finding the force from a sphere on a rod

Finding the relation between the orbit speed and the escape velocity of a body

Homework
Set 10

Oscillations