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An athlete in a competition needs to get from point A to another point B directly across from a river. He can swim in stationary water at a speed of 2.0 mi/h, and he can run at a speed of 5.0 mi/h. If the river does not flow, then to get from A to B he would certainly choose to swim directly across. But the river flows at a speed of 1.5 mi/h downstream. Given that, what would his strategy be in order to minimize the total time it takes to move from A to B? i.e., at what angle upstream (measured from the line AB) should he be swimming?
In the figure, a stunt car driver negotiates the frictionless track shown in such a way that the car is barely on the track at the top of the loop. The radius of the track is 9.9 m and the mass of the car is 1800 kg. Find the force of the car on t..
A cube of ice is taken from the freezer at -8.50C and placed in a 95-g aluminum calorimeter filled with 310 g of water at room temperature of 200C. Find the mass of the ice cube
Suppose that 2.8 moles of an ideal diatomic gas has a temperature of 1003 K, and that each molecule has a mass 2.32 Ã* 10^-26 kg, What is the internal energy of the gas
A loudspeaker of mass 23-{rm kg} is suspended a distance of h = 1.80- {rm m} below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 3.10- {rm m}. What is the tension T in each of cables.
one end of a unifrom meter stick of mass 0.25kg is placed against a vertical wall. The other end is held by a lightweight cord making an angle ? =20 degree with the stick, find the frictional force between the stick and the wall
a 5.0-kg ball moving due east at 4.0 ms collides with a 4.0 kg ball moving due west at 3.0 ms. just after the collision
The tension in the horizontal towrope pulling a water-skier is 240 N, How much work does the towrope do on the water-skier
a stepladder consists of two halves hinged at the top and connected by a tie rod that keeps the two halves from
Jaime has a 4-kilogram mass on a 3 meter string, and he is swinging it around in a circle. How much force is Jaime using to pull the mass toward himself
demonstrate that the ground state wave function of a particle in an infinitely deep box is an eigenfunction of the
only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. one force is 9.0 n due east
The drawing shows a uniform horizontal beam attached to avertical wall by a frictionless hinge and supported from below atan angle θ = 38o by a brace that isattached to a pin. The beam has a weight of 338 N. Three additional forces keep the beam i..
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