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1. Given that A= 2i + 3j + K and B= i + 3j + 2k, determine the angle between A×B and the z-axis?
2. Argue that A·(A×B) = 0. In three dimensions find the expression of A×B in terms of vector components and i, j and k. 3. A rabbit and a tortoise compete in a race over a course 1.00 km long. The tortoise crawls straight and steadily at its maximum speed of 0.200 m/s toward the finish line. The rabbit runs at its maximum speed of 8.00 m/s toward the goal for 0.800 km and then stops to tease the tortoise. How close to the goal can the rabbit let the tortoise approach before resuming the race?
Measuring the Speed of Sound. A student investigator is measuring the speed of sound by looking at the time for a brief, sinusoidal pulse from a loudspeaker to travel down a tube, What was the approximate length of the tube
A monkey is swinging on a vine. The monkey's mass is 72kg, What is the length of the vine
7.85 g of nitrogen gas at an initial pressure of 3.87 atm and at 16°C undergo an isobaric expansion until the volume has doubled. What is the gas volume after the expansion
Consider a vibrating piano string. The string is under a tension T, has a length L and diameter d. What is the frequency f' for the second string
Place the following temperatures in order from least to greatest, and explain what each temperature represents using thermodynamically sound principles:
The pickup coil in an electric guitar contains 10,000 turnsand has a diameter of 2.1 mm. When the pickup coil is very close to a guitar string, there is a field ofmagnitude B = 0.09 T in thecoil.
you drive on interstate 10 from san antonio to houston half the time at 63 kmh and the other half at 117 kmh. on the
A neutron in a nuclear reactor makes an elastic, head-on collision with the nucleus of a carbon atom initially at rest. find the kinetic energy of the carbon nucleus after the collision
Unpolarized light whose intensity is 1.90 W/m2 is incident on the polarizer in the figure. What is the intensity of the light leaving the polarizer?
the mass of the planet neptune is 4.5x10power 26 kg . itsradius of orbit around the sun is 4.5x10power12m. calculate the potential energy of neptune
A rectangular loop of wire is sitting next to a straight wire, What is the magnitude on the net force on the loop
A sealed container has a volume V=0.008 cubic meters and 3 times Avogadro's number of molecules at a temperature T=20 degrees Celsius. What is the pressure P exerted by the gas on the wall of the container
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