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A hare and a tortoise compete in a race over a straight course 0.90 km long. The tortoise crawls at a speed of 0.300 m/s toward the finish line. The hare runs at a speed of 7.90 m/s toward the finish line for 0.720 km and then stops to tease the slow-moving tortoise as the tortoise eventually passes by. The hare waits for a while after the tortoise passes and then runs toward the finish line again at 7.90 m/s. Both the hare and the tortoise cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds.
(a) How far is the tortoise from the finish line when the hare resumes the race?
(b) For how long in time was the hare stationary?
A stone has a mass of 4.00 x10-3 kg and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.76.
Perpetual motion machines have fascinated people especially inventors for hundreds of years before the laws of thermodynamics became known. Ideally, once energy is added to start a perpetual motion in machine, the machine would continue to operate..
A system consisting of an ideal gas at the constant pressure of 120kPa gains 800J of heat a)Find the change in volume of the system if the internal energy of the gas increases by 480J b)Find the change in volume of the system if the internal energ..
A chartered airplane flies 100 km east, then 350 km northwest, and then 150 km at 30° west of south. After an additional displacement, the plane is back where it started. Find the magnitude and the direction of the last leg of the journey.
The potential difference between two parallel conducting plates in vacuum is 475 V, What is the kinetic energy of the alpha particle when it reaches the other plate
A jet lands at 54.4 m/s, the pilot applying the brakes 2.45 s after landing. Find the acceleration needed to stop the jet within 5.17 x 10^2 m after touchdown.
A 4.22 box sits at rest at the bottom of a ramp that is 7.74 long and that is inclined at 40.0 above the horizontal. The coefficient of kinetic friction is 0.40, and the coefficient of static friction is 0.50.
Four kilomoles of a monatomic ideal gas are at a temperature of 300 K, Compute the heat supplied to maintain a constant temperature
A car drives straight off the edge of the cliff that is 56 m high. The police at the scene of the accident note that the point of impact is 128m from the base of the cliff. How fast was car travelling when it went over the cliff.
Standing at a crosswalk, you hear a frequency of 520 Hz from the siren of an approaching police car. After the police car passes, observed frequency of the siren is 455 Hz. Establish the car's speeds from these observations.
Three equal point charges, each with charge 1.10 , are placed at the vertices of an equilateral triangle whose sides are of length 0.200. Calcualte the electric potential energy of the system?
A .228g wires are stretched between two points 77.20 cm apart. The tension in the wire is 618N. Find the frequency of the first harmonic. Reply in units of Hz.
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