AP Physics Chapter 4, 5 Take
Home Test
* Use only one side of the
paper. * Working
equations must be derived. *
Use the Given-Find-Solve format.
* Units must be shown in
calculations. * Basic equations
must be shown. * Draw a
diagram of the problem.
* Box your answers. *
Answers must include units. *
Your solutions must very neat.
1. The speed of a particle
moving in a circle 2.0 m in radius increases at the constant rate of the 4.4
m/s2. At an instant when the
magnitude of the total acceleration is 6.0 m/s2, what is the speed
of the particle?
2. A rock is thrown from the edge of a 60 m high
cliff with an initial velocity of 35 m/s at an angle of 30˚ below the
horizontal. a) What is the magnitude and
direction of the velocity of the rock just before it hits the ground? b) What is the magnitude and direction of the
rock’s displacement vector?
3. A research aircraft flies into a hurricane
with a heading 30˚ east of north with an airspeed of 185 m/s. Their GPS navigation system tells them that
their velocity with respect to the ground is 148 m/s with a direction of
20˚ west of north. a) Express these
vectors with rectangular unit vectors (east is the x direction) . b) Determine the
magnitude and direction of the wind through which the plane is flying.
4. A 2.3 kg brick is at rest on an incline plane
of variable angle. The coefficient of
static friction between the brick and the surface is 0.45, and the coefficient
of sliding friction is 0.34. a) If the
angle of incline is slowly increased, at what angle will the brick begin
sliding? b) Once the brick is sliding,
what will be its acceleration?
5. Solve problem #44 on page 144, but change the
4.00 kg mass to 5.00 kg, and change the coefficient of kinetic friction to
0.332.
6. Solve problem #46 on page 145, but change the
mass of the block to 3.5 kg and the angle to 53˚.
7. Solve problem #68 on page 148, but change the
angle to 43˚.