How would you go about these Physics Questions?
1) For the highest accuracy would you choose an aluminum or a steel tape rule for your round outdoor use? Why?
2) A circular hole is cut through a flat aluminum plate. A spherical brass ball has a diameter that is slight smaller than the diameter of the hole. The plate and the ball have the temperature at all times. Should the plate and ball bot be heated or both be cooled ot prevent the ball from falling through the hole? Give your reasoning.
3) When the bulb of a Mercury in glass thermometer is inserted into boiling water the mercury column first drops slight before it beings to rise. Account for this phenomenon.
4) Two different objects are supplied with equals amount of heat. give reasons why their Temperature changes would not necessarily be the same.
5) A camping stove is used to boil water on a mountain Does it necessarily follow that same stove can boil at lower altitude such as at sea level? Provide a reason for your answer.
1) Steel has a lower coefficient of thermal expansion (1.3 x 10^-5 per degree C) than aluminum
(2.2 x 10^-5 per degree C). Hence the length of a steel tape will change less as outdoor
temperatures vary. Steel wins.
2) Brass has a lower coefficient of thermal expansion (1.8 x 10^-5 per degree C) than aluminum.
So you should cool the combination. The hole in the aluminum will shrink slightly more than the
ball. (Question: if there is a hole in the plate, does it expand or shrink as much as the plate? Yes.
Just imagine the plate is solid and the hole is replaced by a circle drawn on the plate.)
3) Since the heat is supplied from the outside, the glass of the thermometer heats up and
expands before the heat is conducted into the mercury.
4) If the objects are made of the same material, the larger one receives fewer calories per gram
and so heats up less than the lighter one. If they weigh the same but are of different materials,
the one with the higher specific heat warms up less. If they are of different weight and of
different material, the temperature rise of each is inversely proportional to the product of its
(weight x specific heat).
5) No, because the boiling point of water is higher at the lower altitude (which means higher
atmospheric pressure). The flame of any camp stove is surely hot enough to boil water at any
altitude; but the temp. the pot attains is the result of an equilibrium between heat input it
receives from the flame and heat loss from radiation, convection and (as the water warms up)
evaporation from the water surface. So a small flame might be able to heat water to its boiling
point at high altitude, but not to the higher temp required at sea level.
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