



Exercise 1

Consider a table tennis ball bouncing
on a hard horizontal surface. The height to which the ball
bounces, h_{2}, obviously depends on the height from which
it is dropped, h_{1}.

Predict a possible mathematical
relation between h_{2} and h_{1} giving
justification for your answer. Estimate the maximum value of h_{1}
for which you expect the relation to be valid (give an explanation
of your estimate).

Also, say what graph you would plot in
order to verify the relation.

Return to top of page 
Exercise 2

What are the factors which you would
expect to determine the time taken for the temperature of a cup of
coffee to fall (say) 5°C ?
Describe an experiment to investigate at least one of these
factors.

Return to top of page 
Exercise 3

Imagine a plastic water bottle which
has a small hole, of diameter d, in the bottom.


a) If water is put in the bottle, how
would you expect the volume of water "escaping" per
second,
V/t,
to depend on:

i) the height of
water, h (with d constant) and 
ii) the diameter
of the hole (with h constant)?
To answer, give sketch graphs of
V/t
against h
and
V/t
against d. 

b) Describe briefly an experiment to
verify the relation between
V/t
and
h.

Return to top of page 
Exercise 4

Describe an experiment to find the
best angle at which a ball should be thrown in order to have the
maximum possible range an a horizontal plane (on a day when there
is no wind). Make a prediction as to what angle you would expect
to be the best and justify your prediction.

Return to top of page 
Exercise 5

Toy parachutes are to be made using a
thin plastic film (e.g. plastic bags from supermarkets). The
parachutes will be circular and have a range of radii, r. To test
the parachutes they will be allowed to fall from a height, h, each
carrying the same mass, m and the time, t, to reach the ground
will be measured.

a) 
How
would you expect the time, t to be related to the radius,
r of the parachute. Justify your answer. 
b) 
Describe
briefly an experiment you would do to test your
hypothesis.
i) what you would do
ii) the measurements to be made
iii) how you would analyse your results. 

Return to top of page 
Exercise 6

The resistance of a piece of metal
increases with temperature. How would you expect the resistance,
R, of a light bulb filament to vary with the voltage applied to
it?

Sketch a graph of V (horizontal)
against R and explain its shape.

Explain how you could verify your
prediction by experiment. Include a circuit diagram and a brief
method.

