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In our analysis of energy costs in transportation, we focussed on the "trip force" associated with stopping and starting, rolling resistance, and air drag and other aerodynamic (or hydrodynamic) effects. However, there is also an energy cost associated with hill-climbing. Suppose that when you drive down a hill, braking causes you to lose a fraction f of the kinetic energy gained by going downhill. Under what circumstances does that energy cost exceed the ordinary flat-road trip cost? That, is what condition can you place on vehicle speed, hill size, stopping distance, and other parameters such that when this condition is satisfied, the "hill force" exceeds the "trip force"? Be sure to identify which parameters are relevant to this question and to construct a quantitative condition.
two speakers are playing two different but pure frequencies fa 110 hz an a two below middle c and fb 124 hz the b one
A skier slides down along a frictionless snow slope starting from rest at point A with elevation hA = 84 m. Ignore air resistance. Find the speed of the skier at point B with elevation hB = 21 m and point C with elevation hC = 62m
A projectile is shot from the edge of a cliff 125 m above the ground level with an initial speed of 65.0 m/s at an angle of 37 degree above th horizontal. find the position vector of the projectile when it reaches it maximum height above the top of..
a spherical insulating ball with a radius of 3.0 cm has charges embedded in it with a volume charge density that
mixing water 1. 460 cm3 of water at 83degc is mixed with 115 cm3 of water at 8degc. calculate the final equilibrium
A certain automobile can decelerate at |a1| = 1.6 m/s2. Traveling at a constant v1 = 29 m/s, this car comes up behind a car traveling at a constant v2 = 4 m/s. What is the speed of the faster car relative to the slower car
Parallel conducting tracks, separated by 2.79 cm, run north and south. There is a uniform magnetic field of 1.27 T pointing upward (out of the page). What is the direction of the magnetic force on the rod
Simple Pendulum with length 1m released from rest from angle of 20 degrees from the vertical and to the left of the equilibrium position. What is the maximum angle (measured from the vertical) of the string when the ball is on the right
What must be the mass m2 of the hanging block if it is to descend 11.0m in the first 3.00s after the system is released from rest
A rocket is fired at a speed of 82.0 m/s from ground level, at an angle of 31.0 ° above the horizontal. The rocket is fired toward an 6.95-m high wall, which is located 18.0 m away.
The Earth's nearly circular orbit around the sun has a diameter of 300 million km. Assuming it takes 365 days for the Earth to make one complete trip around the sun, find the acceleration of the Earth toward the sun.
A pot of hot water is boiling on your stove. The pot is in the shape of a round cylinder made of aluminum which is 10 cm in radius. calculate the change in entropy of the boiling water
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