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Consider the apparatus that Joule used in his experiments on the mechanical equi

ID: 2250573 • Letter: C

Question

Consider the apparatus that Joule used in his experiments on the mechanical equivalent of heat, shown in Figure 16-8. Suppose the block has a mass of 0.75 kg and that it falls through a distance of 0.45 m. Find the expected rise in temperature of the water given that 6200 J are needed for every 1.0

Consider the apparatus that Joule used in his experiments on the mechanical equivalent of heat, shown in Figure 16-8. Suppose the block has a mass of 0.75 kg and that it falls through a distance of 0.45 m. Find the expected rise in temperature of the water given that 6200 J are needed for every 1.0 degree C increase.

Explanation / Answer

mass of block m = 0.75 kg

the block falls a distance of h = 0.45 m

the potential energy of the block is

U = m x g x h

where g = 9.8 m/s^2

for 6200 J the temperature is 1.0 oC

for U J the temperature is T

or 6200 x T = U x 1

or T = (U/6200) = (m x g x h/6200) oC