A gas occupies a volume of 0.35 m3 at a pressure of 1.0 atm.
The pressure is increased linearly with respect to volume until a final pressure of 2.0 atm is reached, with the final volume being 0.20 m3 .
a. Can you tell from the given information if this gas is an ideal gas?
b. Calculate the work done on the gas during the compression.
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How do you observe atomic gas, ionized gas, ongoing star formation, and accelerated charged particles?
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A 0.25 kg mass sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (with k = 800 N/m) whose other end is fixed. The mass has a kinetic energy of 9.0 J as it passes through its equilibrium position (the point at which the spring force is zero).
1.At what rate is the spring doing work on the mass as the mass passes through its equilibrium position?
2.At what rate is the spring doing work on the mass when the spring is compressed 0.075 m and the mass is moving away from the equilibrium position?
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A 2.40 kg box is moving to the right with speed 9.00 m/s on a horizontal, frictionless surface. At t= 0 a horizontal force is applied to the box. The force is directed to the left and has magnitudeF(t)=( 6.00 N/s2 )t2
a). What distance does the box move from its position at t=0 before its speed is reduced to zero?
b). If the force continues to be applied, what is the velocity of the box at 5.00 s ?
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A wheel is rotating freely at angular speed 530 rev/min on a shaft whose rotational inertia is negligible. A second wheel, initially at rest and with 5 times the rotational inertia of the first, is suddenly coupled to the same shaft. (a) What is the angular speed of the resultant combination of the shaft and two wheels? (b) What fraction of the original rotational kinetic energy is lost?
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The Compton Effect. X-rays of wavelength ? = 61.0 pm are scattered from a thin foil of boron. What is the wavelength of the Compton scattered photons detected at the following angles (relative to the incident beam)? (Your answer should use three significant figures.)
(a) 15
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A 14.0 m uniform ladder weighing 490 N rests against a frictionless wall. The ladder makes a 59.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 810-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude N direction vertical force magnitude N direction (b) If the ladder is just on the verge of slipping when the firefighter is 9.40 m from the bottom, what is the coefficient of static friction between ladder and ground? (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?
m
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A box contains N identical gas molecules equally divided between its two halves. For
N = 30,
what are the following?
(a) the multiplicity W of the central
configuration
(b) the total number of microstates
(c) the percentage of the time the system spends in the central
configuration
%
For
N = 52,
what are the following?
(d) W of the central configuration
(e) the total number of microstates
(f) the percentage of the time the system spends in the central
configuration
%
For
N = 80,
what are the following?
(g) W of the central configuration
(h) the total number of microstates
(i) the percentage of the time the system spends in the central
configuration
%
(j) Does the time spent in the central configuration increase or
decrease with an increase in N?
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A common argument from contrarians of the human impact on global warming about the increase in CO2 levels of the atmosphere is that the increase in carbon dioxide by humans is only a small percentage of the total sources of emitted CO2. In other words, the argument is that humans cannot be the cause of the increase in warming of the climate since the added emissions is a small percentage of what is added to the atmosphere from natural forces like volcanoes. In your response, address the following: What are the natural carbon sources and sinks? How does the emission of carbon by humans affect this balance? Why is this argument short-sighted of the feedback mechanisms built into our ecosystem? How would you explain to this contrarian that his argument is missing a larger picture?
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1) a) Derive a relationship between the electric field (E) and electric potential (V) knowing that V is defined as the energy per unit test charge.
b) Based on the above derivation, state an alternate acceptable unit for (E).
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3. |
Planet Z has diameter 1.8 × 107 m. On the planet's surface, the acceleration due to gravity is 19.5 m/s2. What is the mass of the planet? Note: The constant of universal gravity (G) equals 6.674 × 10-11 N ⋅ m2/kg2. |
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4. |
As shown in the diagram, two massless wires connect a rotating pole to a sphere.The sphere has mass 7.2 kg and it revolves in a horizontal circle at constant speed. At this particular speed the tension is the same in both wires. What is the speed of the ball? |
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5. |
Two people, each of mass 85 kg, are positioned 8.0 m away from each other. What is the magnitude of the gravitational attraction between them? Note: The constant of universal gravity (G) equals 6.674 × 10-11 N ⋅ m2/kg2. |
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6. |
A racecar experiences a centripetal acceleration of 36.0 m/s2 as it travels at a constant speed of 27.0 m/s along a circular arc. What is the radius of the circle? |
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7. |
A particle travels in a circle of radius 76 cm and completes one revolution in 4.5 s. What is the centripetal acceleration of the particle? |
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10. |
Satellite B revolves around Earth 4 times a day. What is the radius of its orbit, measured from Earth's center? Assume that Earth generates the only significant gravitation attraction on the satellite. Note: The mass of Earth is 5.98 × 1024 kg, and the constant of universal gravity (G) equals 6.674 × 10-11 N ⋅ m2/kg2. |
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11. |
An astronaut has weight W on Earth. The astronaut travels to a planet that has a mass 4 times greater than Earth's mass, and its radius is 2 times greater than Earth's radius. What is the astronaut's weight on the planet? |
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12. |
The gravitational acceleration at the surface of planet X is 11.6 m/s2, and the radius of the planet is 66,500 km. An astronaut is hovering at height h above the planet's surface, and she notices her weight is the same as it is on Earth. What is h? |
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13. |
Earth's radius is 6380 km. An object is dropped from a height 622 km above Earth's surface. What is its initial acceleration in terms of g, the acceleration constant due to gravity at Earth's surface? |
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14. |
At the top of a looped section of roller coaster track, the car and rider are completely upside down. What information is necessary to calculate the minimum speed of the car that will prevent a rider from falling out of it? Assume the rider is not strapped into the car. |
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An electron is accelerated through potential difference of 350V. Electron enters magnetic field and moves in the circle with the radius of 7.5cm.
a) What is the magnitude of the field?
b) What is the angular speed of electron?
c) What is the period of revolution of the electron?
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A car accelerates from rest to 60 mph in 4.8 seconds. It then continues at constant velocity for 10 seconds. Determine the distance in the first part and in the second part. Also, what is the car's acceleration in the first part? In the 2nd part? What is it's velocity at the end of the first part( which is also maximum velocity)? (show all work)
distance1=
distance 2=
accel1=
accel2=
velocity max=
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a.) Find the pressure difference on an airplane
wing where air flows over the upper surface with a speed of 120 m/s
and along the bottom surface with a speed of 90 m/s.
_____ Pa
b.) If the area of the wing is 25 m2,
what is the net upward force exerted on the wing?
____ N
(You may assume the density of air is fixed at 1.29
kg/m3 in this problem. Also, you may neglect the
thickness of the wing-- though could you incorporate this too, if
it was given?)
The answer is NOT a) 3.4x10^4 and b) 8.5 x 10^5. These were both incorrect.
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1)When the three blocks below are released from rest, they accelerate with a magnitude of 0.500m/s2. Block 1 has mass M, block 2 has 2M, and block 3 has 2M. What is the coefficient of kinetic friction
2)A block of mass m is held stationary on a ramp by the frictional force on it from the ramp. A force ?,directed up the ramp, is then applied to the block and gradually increased in magnitude from zero. During the increase, what happens to the direction and magnitude of the frictional force on the block?
3)The figure below shows an initially stationary block of mass m = 2.00 kg on a floor. A force of magnitude 10.0 N is then applied at upward angle θ = 20°. What is the magnitude of the acceleration of the block across the floor if (a) μs = 0.600 and μk = 0.500 and (b) μs = 0.400 and μk = 0.300?
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