For this problem, assume salt water and fresh water have the same density.
A large iceberg floats in the ocean. If the iceberg melts, the sea level will:
a) stay the same
b) fall
c) rise <---wrong answer!
Please also provide an explanation!
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Explain why centrifugal force is a false (pseudo) force.
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A skier traveling 14.0 m/s reaches the foot of a steady upward 20.0o incline and glides 11.5 m up along this slope before coming to rest. Using mechanical energy methods what is the coefficient of friction?
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A beaker, filled to the very topwith water, weighs 15 N. A 300 g weight is carefully dropped intothe beaker. The water that overflows is wiped away and the beakerreweighed. It weighs 16.9 N. What is the densityof the weight? [Use g=9.8m/s2.] Hint: The netforce on the bottom of the beaker after the weight is lowered tothe bottom is (the weight of the reduced volume of water) + (300 gweight). Thebeaker is refilled to the top with water and a 100 g piece of woodof density 0.8 that of water is carefully floated on the water.What volume of water overflows?
Why areboth claims made in the NOTE correct? |
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How does a newton cradle visually demonstrate how NRG and momentum are conserved. I konw it works mathematically but how does releasing balls and having the other two balls on the other side swing up demonstrate momentum and conservation of NRG.
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6. One morning while waiting for class to begin, you are reading a newspaper article about airplane safety. This article emphasizes the role of metal fatigue in recent accidents. Metal fatigue results from the flexing of airframe parts in response to the forces on the plane especially during take off and landings. As an example, the reporter uses a plane with a take off weight of 200,000 lbs and take off speed of 200 mph which climbs at an angle of 30o with a constant acceleration to reach its cruising altitude of 30,000 feet with a speed of 500 mph. The three jet engines provide a forward thrust of 240,000 lbs by pushing air backwards. The article then goes on to explain that a plane can fly because the air exerts an upward force on the wings perpendicular to their surface called "lift." You know that air resistance is also a very important force on a plane and is in the direction opposite to the velocity of the plane. The article tells you this force is called the "drag." Although the reporter writes that some metal fatigue is primarily caused by the lift and some by the drag, she never tells you their size for her example plane. Luckily the article contains enough information to calculate them, so you do.
1. Focus (on) the Problem.
2. Describe the Physics
3. Plan a Solution
4. Execute Your Plan
5. Evaluate the Answer
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(a) How many fringes appear between the first diffraction-envelope minima to either side of the central maximum in a double-slit pattern if λ = 699 nm, d = 0.200 mm, and a = 36.9 µm? (b) What is the ratio of the intensity of the third bright fringe to the intensity of the central fringe?
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6. A 10.0-kg mass is traveling to the right with a speed of 2.00 m/s on a frictionless horizontal surface when it collides with and sticks to a second 10.0-kg mass that is initially at rest but is attached to a light spring that is neither stretched nor compressed with a force constant 80.0 N/m. The system undergoes SHM. A) Find the frequency, amplitude, the period of the subsequent oscillations and the phase angle. B) Find the maximum and minimum velocities and acceleration attained by the oscillating system C) How long does it take the system to return the first time to the position it had immediately after the collision? D) Write the equations for the displacement, velocity, and acceleration of the system as function of time.
7. In March 2006,
two small satellites
were discovered orbiting
Pluto, one at a
distance of 48,000
km and the other
at 64,000 km. Pluto
already was known
to have a large
satellite Charon, orbiting
at 19,600 km with
an orbital period
of 6.39 days.
Assuming that the
satellites do not
affect each other,
find the orbital
periods of the two
small satellites without
the mass of
Pluto.
Figure
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Your grandfather clock is a simple pendulum with a length of 0.994 m. If the clock loses 3 min in a week, how should you adjust the length of the pendulum so that it can properly keep time?
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what's the safest way to use a meter while testing for voltage
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In the figure, a uniform plank, with a length L of 5.23 m and a weight of 280 N, rests on the ground and against a frictionless roller at the top of a wall of height h = 1.59 m. The plank remains in equilibrium for any value of θ = 70.0° or more, but slips if θ < 70.0°. Find the coefficient of static friction between the plank and the ground.
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Ch 29
44. In an atom, an electron has the following allowed energy levels, E1 = 1 eV, E2 = 4 eV and E3 = 6 eV. What are the observed emission and absorption wavelengths for this atom? Absorption: 414.4 nm, 248.6 nm, Emission: 414.4 nm, 248.6 nm, 621.6 nm
45. In LASIK surgery, a laser is used to reshape the cornea of the eye to improve vision. The laser produces extremely short pulses of light, each containing 1 mJ of energy. a) In each pulse there are 9.7 x 1014 photons. What is the wavelength of the laser? 192.9 nm b) Each pulse lasts only 20 nsec. What is the average power delivered to the eye during a pulse? 50kW
46. An electron with a speed of 4 x 106 m/s collides with an atom. The collision excites the atom from its ground state (1 eV) to a state with an energy of 8.9 eV. What is the speed of the electron after the collision? 3.64 x 106 m/s
48. The absorption spectrum for an atom consists of the wavelengths 200 nm, 300 nm and 500 nm.
a) Draw the energy level diagram for this atom, labeling the energy (in eV) for each level. The ground state energy level is at 0 eV. E2 = 2.49 eV. E3 = 4.14 eV, E4 = 6.22 eV
b) What wavelengths are seen in the emission spectrum? 753.4 nm, 333.3 nm, 597.7 nm
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Back-of-the-envelope CO: It is well-known (certainly among astronomers) that the Einstein A-coefficient for the Lyman alpha (n = 2 to n = 1) transition in atomic hydrogen is of order 10^9 s^−1 (actually, 5 × 10^8 s^−1). As we briefly discussed in class, this result could be estimated to order-of-magnitude by considering an (accelerating) electron on a spring that displaces a Bohr radius, a0, and has natural angular frequency ω and then taking the inverse lifetime of the excited state as A ∼ P/ω, where P is the power radiated by an accelerating charge. The ubiquitous carbon monoxide molecule, 12CO, is used by astronomers to trace the presence and measure the temperature of molecular gas in various astrophysical environments. We would rather try to detect H2 directly, but sadly H2 has no permanent electric dipole moment because of its symmetry, while Carbon monoxide does have a permanent dipole moment, so is easier to detect.
a)Estimate the wavelength of the lowest energy, rotational
transition in CO (J = 1 to J = 0, where J is the rotational quantum
number). Do this by considering a barbell spinning about its axis
of greatest moment of inertia and recognizing that angular momentum
comes quantized in units of ?h. Compare your estimate
to the true answer of 2.6 mm.
b)Use scaling relations to estimate the Einstein A coefficient of this transition, i.e., the inverse lifetime of the excited J = 1 state. You can use that the dipole moment (that is difficult to guess from first principles) of the CO molecule is 0.1 Debyes, not ∼ 1 Debye, as one might have guessed naively (1 Debye= 10^−18cgs. Note that ea0 = 2.5 Debyes, where e is the electron charge). Compare your estimate to the true answer A10 = 7.4 × 10^-8 s^-1.
Note: This smaller-than-expected dipole moment of CO is a consequence of the strong double bond connecting C to O. Most other molecules common in astrophysics – e.g., H2O, CS, SiS, SiO, HCN, OCS, HC3N – have dipole moments that are all of order 1 Debye.
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