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Applying the ideal rocket equation A space probe has a total mass of 1.30 × 103 kg, 5.20 × 102 kg of which is fuel. The probe is at rest near the edge of the solar system. The probe fires its rocket thrusters to make a final course correction, burning the fuel at a constant rate until it is gone. The burn lasts 1.00 × 102 s and produces a constant thrust of 11.0 kN. Estimate the initial acceleration of the probe the speed of the probe 80.0 s into the burn the maximum speed of the probe the maximum acceleration of the probe
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Polymer Physics
A Long thin Rod The thin aluminum rod of a retort stand is 0.80 m in length and has a mass of 170 g. Find the centre of mass of the rod.
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Polymer Physics
The Cyclotron Frequency of the TRIUMF Cyclotron The magnetic field used in the cyclotron at TRIUMF to accelerate H^- ions for medical research has a strength of 0.300 T. Calculate the cyclotron frequency of the TRIUMF cyclotron. Calculate the period of one revolution. How will increasing the magnetic field by a factor of approximately 1.5, to 0.460 T, affect the cyclotron frequency?
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Polymer Physics
Using the Hall Effect to Describe Electric Properties A Hall probe containing a strip of copper 1.50 mm thick and 1.00 cm wide is placed in a uniform magnetic field of 1.50 T. The probe measures a Hall potential difference of 0.108 μV when the current through the probe is 10.0 A. Determine the drift speed of the electrons in the copper strip the strength of the electric field across the strip the density of the charge carriers in the strip
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Polymer Physics
The Thames River as a Natural Dynamo Estimate the maximum potential difference across the Waterloo Bridge in London, England (Figure 24-19). The width of the Thames River at the bridge is approximately 265 m. The average flow rate of the Thames at London is approximately 65 m3/s. Assume that the average depth of the river near the bridge is 2.5 m. London is close enough to the sea that the tides affect the flow of the river at Waterloo Bridge and the salinity of the water—the river here is brackish—it is saltier than fresh water.
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Polymer Physics
The Magnetic Torque on a Simple Electric Motor Estimate the maximum value of the magnetic torque in the simple electric motor shown in Figure 24-28, given that the magnetic field created by the magnets is 0.40 T, the battery has a voltage of 3.0 V, the number of copper wire loops is 2, and the area of each loop is 5.0 cm2. Assume that the resistance of all the wire used in the motor is 1.0 Ω.
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Polymer Physics
Establishing the Direction of the Magnetic Field Due to a Long Current-Carrying Wire Current I runs through a straight conducting horizontal wire to the right, as shown in Figure 24-31. Point A is to the right of and above the current element, as shown. Use a right-hand rule to establish the direction of the magnetic field due to the current element shown at point A.
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Polymer Physics
The Right-Hand Rule and the Cross Product A positively charged particle, q, enters a region with a uniform magnetic field, B ⃗=B_0 i ̂. The particle’s initial velocity is v ⃗=〖3v〗_0 j ̂ (Figure 24-8). Determine the magnetic force acting on the particle just as it enters the magnetic field.
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Polymer Physics
