A rolling ball moves from x1 = 8.4 cm to x2 = -4.2 cm during the time from t1 = 3.0 s to t2 = 6.1 s. What is its average velocity over this time interval?
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A film of Jesse Owens’s famous long jump (Fig. 6–47) in the 1936 Olympics shows that his center of mass rose 1.1 m from launch point to the top of the arc. What minimum speed did he need at launch if he was traveling at 6.5 m/s at the top of the arc?
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At what displacement of a SHO is the energy half kinetic and half potential?
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A physician judges the health of a heart by measuring the pressure with which it pumps blood. If the physician mistakenly attaches the pressurized cuff around a standing patient’s calf (about 1 m below the heart) instead of the arm (Fig. 10–42), what error (in Pa) would be introduced in the heart’s blood pressure measurement?
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Of the charge Q initially on a tiny sphere, a portion q is to be transferred to a second, nearby sphere. Both spheres can be treated as particles and are fixed with a certain separation. For what value of q/Q will the electrostatic force between the two spheres be maximized?
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A 1500-nF capacitor with circular parallel plates 2.0 cm in diameter is accumulating charge at the rate of 32.0 mC/s at some instant in time. What will be the induced magnetic field strength 10.0 cm radially outward from the center of the plates? What will be the value of the field strength after the capacitor is fully charged?
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An electron is projected with an initial speed vi = 3.2 x 10^5 m/s directly toward a very distant proton that is at rest. Because the proton mass is large relative to the electron mass, assume that the proton remains at rest. By calculating the work done on the electron by the electrostatic force, determine the distance between the two particles when the electron instantaneously has speed 2*vi.
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An electron moving along the x axis has a position given by x = 16te^-t m, where t is in seconds. How far is the electron from the origin when it momentarily stops?
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A 5.00 kg object is released from rest while fully submerged
in a liquid. The liquid displaced by the submerged object has a
mass of 3.00 kg. How far and in what direction does the object
move in 0.200 s, assuming that it moves freely and that the drag
force on it from the liquid is negligible?
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Requested by Danielle.
27. (II) Two blocks, each of mass m, are attached to the ends
of a massless rod which pivots as shown in Fig. 8–43.
Initially the rod is held in the horizontal position and then
released. Calculate the magnitude and direction of the
net torque on this system when it is first released.
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