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Find the angle between the position vectors to the points (3, -4, 0) and (-2, 1, 0), and find the direction cosines of a vector perpendicular to both.
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Question: A thin, horizontal, 20-cm-diameter copper plate is charged to 4.0 nC . Assume that the electrons are uniformly distributed on the surface a) What is the strength of the electric field 0.1 mm above the center of ...
Question: A pendulum has a period of 1.77 s on Earth. Part A: What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth? Express your answer to two significant figures and include the appr ...
Question: In this problem you will estimate the heat lost by a typical house, assuming that the temperature inside is Tin=20^C and the temperature outside is Tout=0^C. The walls and uppermost ceiling of a typical house a ...
Propane boilers are a common technology for domestic heating, and have a typical energy efficiency of 90%. The chemical formula of propane is C 3 H 8 , its lower heating value is 50,400 kJ/kg, and its carbon content by m ...
Question: The passengers in a roller coaster car feel 50% heavier than their true weight as the car goes through a dip with a 30.0 m radius of curvature. What is the car's speed at the bottom of the dip? The response mus ...
Question: A sled of mass m is being pulled horizontally by a constant upward force of magnitude F that makes an angle theta with the direction of motion. The coefficient of kinetic friction is mu_k. The average velocity ...
Question: A point charge is released from rest in a region containing an electric field. The charge will start to move: (A) in a direction that makes its potential energy increase (B) in a direction that makes its potent ...
Question: You're driving down the highway late one night at 20m/s when a deer steps onto the road 35m in front of you. Your reaction time before stepping on the brakes is 0.50s, and the maximum deceleration of your car i ...
Question: A sled and rider, gliding over horizontal, frictionless ice at 5.8 m/s, have a combined mass of 86 kg. The sled then slides over a rough spot in the ice, slowing down to 3.0 m/s. What impulse was delivered to t ...
Question: Your roommate is working on his bicycle and has the bike upside down. He spins the 62cm -diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second. What is the pebble's sp ...
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