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SSM REASONING The Doppler shift that occurs here arises because both the source and the observer of the sound are moving.

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SSM REASONING The drawing shows the wheel as it rolls to the right, so the torque applied by the engine is assumed to be clockwise about the axis of rotation.

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Another nonconservative force acting on the semitrailer is the normal force exerted by the ramp.

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The ranking of the indices of refraction, largest to smallest, is: na, nc, nb. REASONING AND SOLUTION For either laser, the number of photons is given by the energy E produced divided by the energy per photon.

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Since all of these variables are known, we can find the magnitude of the centripetal force.

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This causes no error here, however, because the same total number of electrons is included on the left and right sides of the arrow in the process above.

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REASONING If energy is released during a reaction, the total rest energy of the particles after the reaction must be less than the total rest energy before the reaction.

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Once that position is known, we can then use kinematics to determine the fall time. The interior volume of the brass shell expands as if it were solid brass, and this expansion provides more space for the mercury to occupy, thereby reducing the amount of spillage.

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The nonconservative forces are the force of friction, the force of air resistance, and the force provided by the engine.


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The observer is moving toward the source, so we use the plus sign in the numerator. REASONING We need to obtain the conditions for constructive and destructive interference in terms of the film thickness t and the wavelength λwater of the light in the layer of water.

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All the variables except for TB in this relation are known.

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REASONING Since the angles of refraction are the same, the angles of incidence must be different, because the refractive indices of the red and violet light are different.

The data for the vertical motion are vx summarized in the following table.

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We will solve r this relation to find the speed v of the rider.

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They do not actually pass through that focal point, however.

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An application of this conservation law will enable us to determine the height hf.

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SSM REASONING AND SOLUTION In order to determine which vector has the largest x and y components, we calculate the magnitude of the x and y components explicitly and compare them.

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The tension T in the rope applies an upward force to both.

SOLUTION The drawing shows the incident, reflected, and refracted rays.

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REASONING When particles pass through the slit the great majority fall on the screen between the first dark fringes on either side of the central bright fringe.

When using any of the equations of rotational kinematics, it is not necessary to use radian measure.

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SOLUTION As mentioned in the REASONING, only the extra travel distance of the light within the film leads to the destructive interference.

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The pressure is not proportional to the Celsius temperature.

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