av (x) 1. For a conservative force F=), in which V(x) is the potential, using Newton's laws of motion, show that the sum of kinetic and potential energy is a constant. 2. How many joules of heat are generated by the brakes of a 1000 kg car when it is brought to rest from a speed of 50 km/h? if we use this amount of heat to heat 1.0 L of water from an initial temperature of 30 °C, estimate the final temperature assuming that the heat capacity of water is about 1 gal/mL (1 gal=4.184J).
av (x) 1. For a conservative force F=), in which V(x) is the potential, using Newton's laws of motion, show that the sum of kinetic and potential energy is a constant. 2. How many joules of heat are generated by the brakes of a 1000 kg car when it is brought to rest from a speed of 50 km/h? if we use this amount of heat to heat 1.0 L of water from an initial temperature of 30 °C, estimate the final temperature assuming that the heat capacity of water is about 1 gal/mL (1 gal=4.184J).
College Physics
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
Transcribed Image Text:av(x)
1. For a conservative force F=-x), in which V(x) is the potential, using Newton's laws of
motion, show that the sum of kinetic and potential energy is a constant.
2. How many joules of heat are generated by the brakes of a 1000 kg car when it is brought to rest
from a speed of 50 km/h? If we use this amount of heat to heat 1.0 L of water from an initial
temperature of 30 °C, estimate the final temperature assuming that the heat capacity of water is
about 1 gal/mL (1 gal=4.184 J).
3. Use the relation g=-p gxto show that:
(a) The work done in an isothermal expansion of N moles of an ideal gas from initial volume Vi to
the final volume yfis: Work=-NRT Inlvf/Vi).
(b) For 1 mol of an ideal gas, calculate the work done in an isothermal expansion of 1 mol from
Vi=10.0 L to xf=20.0 L at temperature T = 350 K.
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