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A hare and a tortoise compete in a race over a straight course 1.50 km long. The tortoise crawls at a speed of 0.100 m/s toward the finish line. The hare runs at a speed of 7.30 m/s toward the finish line for 1.200 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 7.30 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? (Please provide numerical answer in m) (b) For how long in time was the hare stationary?
The best laboratory vacuum has a pressure of about 1 × 10-18 atm, or 1.010 × 10-13 Pa. How many gas molecules are there per cubic centimetre in such a vacuum at 293K.
A piece of unpainted wood barely floats in a container partly filled with water. If container is sealed and then pressurized above atmospheric pressure, does the wood rise, sink, or remain at the similar level.
What is speed of the car just before it lands safely
A plate carries a charge of -3.9 µC, while a rod carries a charge of +2.2 µC. How many electrons should be transferred from the plate to the rod, so that both objects have the same charge.
What is the speed of the cart if the man suddenly starts running to the left with a speed of 9-m/s relative to the cart.
A stone is thrown upward with an initial speed of 20 m/s. What is its acceleration at the highest point of its trajectory?
A 90° inverted cone contains water as shown. The volume of the water in the cone is given by V = (p/3) h3. The original depth of the water is 10 cm. A block with a volume of 200 cm3 and a specific gravity of 0.6 is floated in the water. Find the c..
An object, mass 2.96kg, moves in a horizontal circle with a radius of 3.8m. The object has the intial velocity of 32.6 m s-1. If the kinetic coefficient of friction between the object and the surface is 0.31, then number of completed revolutions (..
A glass soda bottle is emptied of soda and filled to the very top with water. A cork is carefully fitted into the top of the bottle, leaving no air between the cork and the water.
Consider a too-small space station that consists of a 2.7m radius rotating sphere. A man standing inside is 1.9m tall and his feet are at 1g. What is the acceleration of his head.
A planet's moon travels in an approximately circular orbit of radius 6.6 x10^7 m with a time of 7 h 9 min. Calculate the mass of the planet from this information.
A professor's office door is 0.9 wide, 2.2 high, 4.2 thick; has a mass of 23 , and pivots on frictionless hinges. A "door closer" is attached to door and the top of the door frame. while the door is open and at rest, the door closer exerts a torqu..
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