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Chapter 2: Q51P (page 45)
A certain ohmic resistor has a resistance of .A second resistor is made of the same material but is three times as long and has half the cross-sectional area. What is the resistance of the second resistor? What is the effective resistance of the two resistors in series?
(i), (ii)
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A spherical satellite of approximately uniform density with radius\(4.8m\)and mass\(205kg\)is originally moving with velocity\(\left\langle {2600,0,0} \right\rangle m/s,\)and is originally rotating with an angular speed\(2rad/s,\)in the direction shown in the diagram. A small piece of space junk of mass\(4.1kg\)is initially moving toward the satellite with velocity\(\left\langle { - 2200,0,0} \right\rangle m/s.\)The space junk hits the edge of the satellite at location C as shown in Figure 11.97, and moves off with a new velocity\(\left\langle { - 1300,480,0} \right\rangle m/s.\)Both before and after the collision, the rotation of the space junk is negligible.
Question: A truck driver slams on the brakes and the momentum of the truck changes from toindue to a constant force of the road on the wheels of the truck. As a vector, write the net force exerted on the truck by the surroundings.
A carbon resistor is 5 mm long and has a constant cross section ofThe conductivity of carbon at room temperature is .In a circuit its potential at one end of the resistor is 12 V relative to ground, and at the other end the potential is 15 V. Calculate the resistance Rand the current I (b) A thin copper wire in this circuit is 5 mm long and has a constant cross section of .The conductivity of copper at room temperature is .The copper wire is in series with the carbon resistor, with one end connected to the 15 V end of the carbon resistor, and the current you calculated in part (a) runs through the carbon resistor wire. Calculate the resistance Rof the copper wire and the potential at the other end of the wire.
You can see that for most purposes a thick copper wire in a circuit would have practically a uniform potential. This is because the small drift speed in a thick, high-conductivity copper wire requires only a very small electric field, and the integral of this very small field creates a very small potential difference along the wire.
Question: (1) Two external forces,and, act on a system. What is the net force acting on the system? (2) A hockey puck initially has momentum. It slides along the ice, gradually slowing down, until it comes to a stop. (a) What was the impulse applied by the ice and the air to the hockey puck? (b) It took 3 seconds for the puck to come to a stop. During this time interval, what was the net force on the puck by the ice and the air (assuming that this force was constant)?
Question: You observe three carts moving to the left. Cart A moves to the left at nearly constant speed. Cart B moves to the left, gradually speeding up. Cart C moves to the left, gradually slowing down. Which cart or carts, if any, experience a net force to the left?
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