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A child is in danger of drowning in the Merimac river. The Merimac river has a current of 3.1 km/hr to the east. The child is 0.6 km from the shore and 2.5 km upstream from the dock. A rescue boat with speed 24.8 km/hr (with respect to the water) sets off from the dock at the optimum angle to reach the child as fast as possible. How far from the dock does the boat reach the child?
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The length of the mercury column is 4.0cm in pure melting ice and 28.0 cm in the steam. Compute the temperature for a length of 22.0.
UVB photons have a wavelenghth of 300nm. what is the frequency of UBV photons, What is the energy of a UBV photon in JOULES
The lens of an endoscope is carefully matched such that the light ray from the edge of the lens enters the fiber at an angle. What focal length should the lens have
A catapult with a radial arm 4.19 m long accelerates a ball of mass 19.1 kg through a quarter circle. The ball leaves the apparatus at 41.6 m/s. Find the net torque exerted on the ball and arm
Two identical resistors of R0 = 30 ? are connected head-to-tail. Write an expression for the new length in terms of the old length L.
A typical ten-pound car wheel has a moment of inertia of about 0.35 kg*M^2. find the rotational kinetic energy K of the rotating wheel
A large mountain can slightly affect the direction of "down" as determined by a plumb line. How far would the lower end move toward the sphere
A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 521 N. As the drawing shows, Find the tensions in the rope to the left and to the right of the mountain climber
A 180 g top spinning at 14 rev/s makes an angle of 30° to the vertical and precesses at a rate of 1 rev per 8.0 s. what is the moment of inertia of the top
Two waves travel in the same medium at the same speed. One has wavelength 0.0382 m and frequency 9.67×106 Hz. What is the period of the second wave
Find the maximum weight for the car if the springs should be compressed no more than 4.2 cm when the car is at rest
An electron enters a region of space containing a uniform 0.0000227-T magnetic field. Its speed is 115 m/s, Find the radius r of the electron\'s path, and the frequency f of the motion
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