a, If a 156.5-kg weight attached to a paddle wheel in oil falls from rest to 3.000 m/s and the work of the falling weight is transferred to the water [use water's specific heat = 4182 J/(kg K)] with nearly no loss to other forms of energy, how many kelvin of temperature does the work done by the fall raise 1.6 kg of water?

Be careful to track all significant digits and not round until the final answer.

b. Bicycling against the wind, you stop pedaling and your 83-kg combined-mass bicycle and you slow from 8.9 to 5 m/s. How much work injoules does the wind do on you and your bicycle?

(Note: The answer should be negative since you slow down)

c. Suppose you recreate James Joule's paddlewheel experiment but replace the water (which has a specific heat of 4182 J/(kg K)) with an equal mass of mercury (which has a specific heat of 140 J/(kg K)). The temperature change of the mercury with respect to the temperature change of the water for the same hanging mass drop would be about:

Group of answer choices

30 times smaller

15 times smaller

the same

15 times larger

30 times larger

an indeterminate amount different