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A 200-m-wide river flows due east at a uniform speed of 4.8 m/s. A boat with a speed of 8.6 m/s relative to the water leaves the south bank pointed in a direction 37o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? Give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) How long does it take for the boat to cross the river? answer number and units
You have a ball on a wire that is twirled in a circular orbit with a radius of 3.7 m, and the centripetal force acting on the ball, What is the speed of the ball in orbit
A converging lens of focal length 7.930cm is 16.6 cm to the left of a diverging lens of focal length -6.0cm. A coin is placed 12.60cm to the left of the converging lens. Determine the location of the coin's final image.
Two 53 {rm g} blocks are held 30 {rm cm} above a table. One of them is just touching a 50-long spring. The blocks are released at the same time. The block on the left hits the table at accurately the same instant as the block on the right first comes..
A 3-kg steel ball strikes a wall with a speed of 13-m/s at an angle of 60.0° with the surface. It bounces off with the similar speed and angle. If the ball is in contact with the wall for 0.20s, what is the average force exerted by the wall on the..
In redesigning a parallel-plate capacitor with circular plates, you triple both the diameter of the plates and their separation. what is the capacitance of the redesigned capacitor
Using the Hamiltonian for the harmonic oscillator, or otherwise, show that the expectation value of the kinetic energy is equal to the expectation value of the potential energy and half that of the total energy.
A ball swings in a vertical circle at the end of a rope1.40 m long. When the ball is36.3° past the lowest point on itsway up, its total acceleration is (-22.5 i + 20.2j) m/s2. Determine the magnitude of its radial acceleration.
A pair of slits, separated by 0.160 mm, is illuminated by light having a wavelength of ? = 554 nm. An interference pattern is observed on a screen 144 cm from the slits. Consider a point on the screen located at y = 1.80 cm from the central maximu..
Suppose that you wish to fabricate a uniform wire out of 0.850 g of copper. Assume the wire has a resistance R = 0.600 ?, What will be the diameter of the wire
A heat engine having an ideal monatomic gas as a working substance has a cycle consisting of the following three processes: isobaric expansion at 200 kPa.
A 4.85 μF capacitor is initially charged to a potential of 16.4 V. It is then connected in series with a 3.85 mH inductor. What is the total energy stored in the circuit
Calculate the deBroglie wavelength of electrons that have been accelerated by 50,000 Volts (Remember the relation between energy and momentum). The answer is 5.486*10^-12 meters, but I'm not sure how to get it.
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