College Physics:
11th Edition
ISBN: 9781305965515
Author: SERWAY, Raymond A.
Publisher: Brooks/Cole Pub Co
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Chapter 12, Problem 13CQ
To determine
Why the total energy of an isolated system is always constant, using the first law of thermodynamics .
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A 0.500 kg sphere moving with a velocity given by (2.00î – 2.60ĵ + 1.00k) m/s strikes another sphere of mass 1.50 kg moving with an initial velocity of (−1.00î + 2.00ĵ – 3.20k) m/s.
(a) The velocity of the 0.500 kg sphere after the collision is (-0.90î + 3.00ĵ − 8.00k) m/s. Find the final velocity of the 1.50 kg sphere.
R =
m/s
Identify the kind of collision (elastic, inelastic, or perfectly inelastic).
○ elastic
O inelastic
O perfectly inelastic
(b) Now assume the velocity of the 0.500 kg sphere after the collision is (-0.250 + 0.850ĵ - 2.15k) m/s. Find the final velocity of the 1.50 kg sphere.
✓ =
m/s
Identify the kind of collision.
O elastic
O inelastic
O perfectly inelastic
(c) Take the velocity of the 0.500 kg sphere after the collision as (−1.00ỉ + 3.40] + ak) m/s. Find the value of a and the velocity of the 1.50 kg sphere after an elastic collision. (Two values of a are possible, a positive value and a negative value. Report each with their
corresponding final velocities.)
a…
A cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected to a post by a large spring, initially unstretched and with force constant k = 1.31 x 104 N/m, as in the figure below. The cannon fires a 200-kg projectile at a velocity of 136 m/s directed 45.0°
above the horizontal.
45.0°
(a) If the mass of the cannon and its carriage is 5000 kg, find the recoil speed of the cannon.
m/s
(b) Determine the maximum extension of the spring.
m
(c) Find the maximum force the spring exerts on the carriage. (Enter the magnitude of the force.)
N
launch angle.
Passage Problems
Alice (A), Bob (B), and Carrie (C) all start from their dorm and head
for the library for an evening study session. Alice takes a straight path,
Chapter 12 Solutions
College Physics:
Ch. 12.1 - By visual inspection, order the PV diagrams shown...Ch. 12.3 - Identify the paths A, B, C, and D in Figure 12.11...Ch. 12.4 - Three engines operate between reservoirs separated...Ch. 12.5 - Which of the following is true for the entropy...Ch. 12.5 - Prob. 12.5QQCh. 12 - Two identical containers each hold 1 mole of an...Ch. 12 - Which one of the following statements is true? (a)...Ch. 12 - Prob. 3CQCh. 12 - Prob. 4CQCh. 12 - For an ideal gas in an isothermal process, there...
Ch. 12 - An ideal gas undergoes an adiabatic process so...Ch. 12 - Is it possible to construct a heat engine that...Ch. 12 - A heat engine does work Weng while absorbing...Ch. 12 - When a sealed Thermos bottle full of hot coffee is...Ch. 12 - The first law of thermodynamics is U = Q + W. For...Ch. 12 - The first law of thermodynamics says we cant get...Ch. 12 - Objects A and B with TA TB are placed in thermal...Ch. 12 - Prob. 13CQCh. 12 - Prob. 14CQCh. 12 - An ideal gas is compressed to half its initial...Ch. 12 - A thermodynamic process occurs in which the...Ch. 12 - Prob. 17CQCh. 12 - An ideal gas is enclosed in a cylinder with a...Ch. 12 - Sketch a PV diagram and find the work done by the...Ch. 12 - Gas in a container is at a pressure of 1.5 atm and...Ch. 12 - Find the numeric value of the work done on the gas...Ch. 12 - A gas expands from I to F along the three paths...Ch. 12 - A gas follows the PV diagram in Figure P12.6. Find...Ch. 12 - A sample of helium behaves as an ideal gas as it...Ch. 12 - (a) Find the work done by an ideal gas as it...Ch. 12 - One mole of an ideal gas initially at a...Ch. 12 - (a) Determine the work done on a fluid that...Ch. 12 - A balloon holding 5.00 moles of helium gas absorbs...Ch. 12 - A chemical reaction transfers 1250 J of thermal...Ch. 12 - Prob. 13PCh. 12 - A cylinder of volume 0.300 m3 contains 10.0 mol of...Ch. 12 - A gas expands from I to F in Figure P12.5. The...Ch. 12 - In a running event, a sprinter does 4.8 105 J of...Ch. 12 - A gas is compressed at a constant pressure of...Ch. 12 - A quantity of a monatomic ideal gas undergoes a...Ch. 12 - A gas is enclosed in a container fitted with a...Ch. 12 - A monatomic ideal gas under-goes the thermodynamic...Ch. 12 - An ideal gas is compressed from a volume of Vi =...Ch. 12 - A system consisting of 0.025 6 moles of a diatomic...Ch. 12 - An ideal monatomic gas expands isothermally from...Ch. 12 - An ideal gas expands at constant pressure. (a)...Ch. 12 - An ideal monatomic gas contracts in an isobaric...Ch. 12 - An ideal diatomic gas expands adiabatically from...Ch. 12 - An ideal monatomic gas is contained in a vessel of...Ch. 12 - Consider the cyclic process described by Figure...Ch. 12 - A 5.0-kg block of aluminum is heated from 20C to...Ch. 12 - One mole of gas initially at a pressure of 2.00...Ch. 12 - A gas increases in pressure from 2.00 atm to 6.00...Ch. 12 - An ideal gas expands at a constant pressure of...Ch. 12 - A heat engine operates between a reservoir at 25C...Ch. 12 - A heat engine is being designed to have a Carnot...Ch. 12 - The work done by an engine equals one-fourth the...Ch. 12 - In each cycle of its operation, a heat engine...Ch. 12 - One of the most efficient engines ever built is a...Ch. 12 - A lawnmower engine ejects 1.00 104 J each second...Ch. 12 - An engine absorbs 1.70 kJ from a hot reservoir at...Ch. 12 - A heat pump has a coefficient of performance of...Ch. 12 - A freezer has a coefficient of performance of...Ch. 12 - Prob. 42PCh. 12 - In one cycle a heat engine absorbs 500 J from a...Ch. 12 - A power plant has been proposed that would make...Ch. 12 - Prob. 45PCh. 12 - A heat engine operates in a Carnot cycle between...Ch. 12 - A Styrofoam cup holding 125 g of hot water at 1.00...Ch. 12 - A 65-g ice cube is initially at 0.0C. (a) Find the...Ch. 12 - A freezer is used to freeze 1.0 L of water...Ch. 12 - What is the change in entropy of 1.00 kg of liquid...Ch. 12 - A 70.0-kg log falls from a height of 25.0 m into a...Ch. 12 - A sealed container holding 0.500 kg of liquid...Ch. 12 - Prob. 53PCh. 12 - When an aluminum bar is temporarily connected...Ch. 12 - Prepare a table like Table 12.3 for the following...Ch. 12 - Prob. 56PCh. 12 - Prob. 57PCh. 12 - Prob. 58PCh. 12 - Sweating is one of the main mechanisms with which...Ch. 12 - Prob. 60PCh. 12 - Suppose a highly trained athlete consumes oxygen...Ch. 12 - A Carnot engine operates between the temperatures...Ch. 12 - Prob. 63APCh. 12 - A Carnot engine operates between 100C and 20C. How...Ch. 12 - A substance undergoes the cyclic process shown in...Ch. 12 - When a gas follows path 123 on the PV diagram in...Ch. 12 - Prob. 67APCh. 12 - An ideal gas initially at pressure P0, volume V0,...Ch. 12 - One mole of neon gas is heated from 300. K to 420....Ch. 12 - Every second at Niagara Falls, approximately 5.00 ...Ch. 12 - A cylinder containing 10.0 moles of a monatomic...Ch. 12 - Prob. 72APCh. 12 - Suppose you spend 30.0 minutes on a stair-climbing...Ch. 12 - Hydrothermal vents deep on the ocean floor spout...Ch. 12 - An electrical power plant has an overall...Ch. 12 - A diatomic ideal gas expands from a volume of VA =...
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