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Eratosthenes measured the circumference of the Earth by noting that the Sun is at an angle of 7°12' = 7.2° ("one-fiftieth of a circle") south of the vertical in Alexandria at the same time of day and year that it is directly overhead in Syene. Syene is 5000 stades directly south of Alexandria. (The stade was a Mediterranean unit of length that varied slightly from region to region, but in Egypt was most likely equal to 157.5 meters.) Find the circumference of the Earth from these data. The Earth's equitorial circumference is 40075 km according to NASA. What was Eratosthenes percent error?
Compute the average force the beam exerts on the pile driver while the pile driver is brought to rest
A 52.5 g Super Ball travelling at 30 m/s bounces off a brick wall and rebounds at 16.0 m/s. A high-speed camera records this event. If the ball is in contact with wall for 3.25 ms, what is the magnitude of the average acceleration of ball during t..
On a frictionless, horizontal air table, puck A (with mass 0.150 kg ) is moving toward puck B (with mass 0.400 kg ), What was the speed of puck A before the collision
A wave pulse travels down a slinky. The mass of the slinky is m = 0.85 kg and is initially stretched to a length L = 6.2 m. compute the speed of the wave pulse
A lens forms an image of an object. The object is 16.0 cm from the lens. is it erect or inverted
A 1.0-cm-tall object is 7.5 cm in front of a diverging lens that has a 10 cm focal length. Determine the image height by making measurements on your diagram
The excess internal energy of metabolism is exhausted through a variety of channels, such as through radiation and evaporation of perspiration. Calculate the rate at which you lose energy by exhaling humid air
What is the minimum coefficient of static friction between the road and the tires on a car for the car to go around a flat curve at 45.0 mph
A Goodyear blimp typically contains 6280 m3 of helium (He) at an absolute pressure of 1.10 x 105 Pa. What is the mass (in kg) of the helium in the blimp
A student sits at rest on a piano stool that can rotate without friction. The moment of inertia of the student-stool system is 4.4. find the resulting angular speed of the student and the stool
A steel cable with total length 20 m and mass 100 kg is connected to two poles. The tension in the cable is 2,000 N, and the wind makes the cable vibrate with a frequency of 2 Hz. compute the wavelength of the resulting wave on the cable.
A person who is nearsighted has a far point of do = 4.8 m. Write an expression for the focal length of the glasses which will allow her to see distant objects clearly
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