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PHS1011 - Classical physics and relativity - S1 2025

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Consider now a pendulum consisting of a mass on a string.  In what direction for the tension force act in the string at all times? 

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A spherical cap is 'cut' from a portion of a sphere (see image below).  If you are given just a spherical cap, derive down an equation that describes the radius of the sphere in terms of quantities that you can measure, h (the height of the cap) and (the radius of the cap).

Image failed to load: Sphere with radius R and a cap with height h and the radius of the circle forming the base of the cap being a
(Image credit: Wikipedia)

 Select the correct answer from those listed below

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A possible improvement to the method used to find the cooling rate due to the chosen type of heat loss mechanism would be:

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Which of the following might be the most valid concern with the approach to isolating heat loss due to the method of interest as we have done in this lab?

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The script isolates the heat loss due to your chosen method by:

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You likely estimated a far greater work than you managed to do on the water. Which of the following best describes where most of the work you do goes?

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You happen to put your coffee cup down on a set of scales, and notice that over 10

minutes it loses 1.5g.

How many degrees C of cooling can you attribute to evaporation over this time?

Hint: The heat of transformation of vaporisation of water at 80C is 41.6 kJ/mol.

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How many seconds does it take for the coffee to cool to 75C if heat is lost only by radiation?

The heat capacity of water is approximately 4.2 kJ kg−1 K−1  

The density of water is approximately 103 𝑘𝑔 𝑚3

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Now calculate the heat loss rate due to radiation from a cylindrical cup containing 250mL of black coffee at 80C.  

Give your answer in Watts.

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We want to estimate the heat loss rate due to radiation from a cylindrical cup containing 250mL of black coffee at 80C.  

The inside diameter of the cup is 80mm and it is made of black paper.  

The cup is placed on a wooden table

First, calculate the surface area through which energy will be radiated - assume the bottom of the cup is insulated, but radiation occurs through the sides and open top

Give your answer in m2

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