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A person with a boat wants to cross a river 1 mile wide flowing with a current 8 mi/hr. The boat has a speed in still water of 10 mi/hr. He heads his boat upstream at an angle of 37o with respect to a line straight across the river.
a) Find what time will it take him to cross the river?
b) Find at what position x will he land with respect to the line straight across the river
c) Find at what angle should he head in order to land directly across the river from his starting point?
a wedge-shaped sliver of glass viewed from above is illuminated with 436-nm light. the sharp edge is dark. what is the
Suppose you stand with one foot on ceramic flooring and one foot on wool carpet, making contact over an area of 80.0cm^2 with each foot. Carpet and ceramic are 2.00cm thick and are 10C on their bottom sides.
A solid sphere is released from rest on an incline. When it reaches the bottom, what fraction of its total kinetic energy is rotational
The electric potential energy stored in the capacitor of a defibrillator is 110 J, and the capacitance is 120 ?F. What is the potential difference across the capacitor plates
Using calculus, derive the distance kinematics formula x(t) for the case of a constant jerk. How far from the building will the car be in 7.50seconds
A test rocket is fired vertically upward from a well. A catapult gives it an initial speed of 80.6m/s at ground level. Its engines then fire and it accelerates upward at 3.80 m/s2 until it reaches an altitude of 930m. At that point its engines fai..
A doubly charged helium atom, whose mass is 6.6*10^-27 kg, is accelerated by a voltage of 3000 V. What will be its radius of curvature in a uniform 0.300 T field
The energy released by nuclear bombs is measured in kiloton (kt) or megaton (Mt) units. One kiloton is a unit of energy released by 1000 tons of trinitrotoluene (TNT). One kiloton is 4.2×1012 joules. The yield of fission bombs is typically between..
You are assigned the design of a cylindrical, pressurized water tank for a future colony on Mars, where the acceleration due to gravity is 3.71 meters per second per second. Find the net downward force on the tank's flat bottom
a 325kg object, initially moving at 7.50 m/s, to a final velocity of 28.5 m/s in 16.5 seconds. What was the change in kinetic energy of the object
A satellite is in a circular orbit around an unknown planet. The satellite has a speed of 1.60 104 m/s, and the radius of the orbit is 5.00 106 m. A second satellite also has a circular orbit around this same planet. The orbit of this second satellit..
At 100 degrees celsius the rms speed of nitrogen molecules is 576 m/s. Estimate the rate of molecular collisions (collisions/s) on this wall
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