Further Experiments in Microbarometry by Barus C.

By Barus C.

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0 ϫ 107 kg of snow breaks loose from a mountain and slides down into a valley 500 m below the starting point. What is the speed of the snow when it hits the valley? What is its kinetic energy? 2 ϫ 109 J. How many tons of TNT release the same energy as the avalanche? 62. A parachutist of mass 60 kg jumps out of an airplane at an altitude of 800 m. 0 m/s. How much energy has been lost to air friction in this jump? 63. 5 m/s at the bottom. By considering the work done by gravity and the frictional force, determine the coefficient of friction.

A roller coaster begins at rest from a first peak, descends a vertical distance of 45 m, and then ascends a second peak, cresting the peak with a speed of 15 m/s. How high is the second peak? Ignore friction. 67. 5 m and subsequently coasts on a level surface. What is his coasting speed? Ignore friction. *68. In some barge canals built in the nineteenth century, barges were slowly lifted from a low level of the canal to a higher level by means of wheeled carriages. In a French canal, barges of 70 metric tons were placed on a carriage of 35 tons that was pulled, by a wire rope, to a height of 12 m along an inclined track 500 m long.

3 2 1. Yes—the kinetic energy, K ϭ 2mv , depends only on the 1 square of the speed, and not on the direction of the velocity. Thus if the two equal masses have the same speed, they have the same kinetic energy. 2. Yes, the kinetic energies can be equal. Since the kinetic energy is proportional to mass and proportional to the square of the speed (K ϭ 12 mv2), if the car has twice the speed of the truck (a factor of 4 contribution to the kinetic energy), then the kinetic energies can be equal if the truck has 4 times the mass of the car.

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