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Derive a formula for the linear velocity of a planet v(r), where r is the distance from Sun (assume circular orbits). Apply your formula to Earth (r ' 150 *10^6 km). Compare v with the number which follows from the observed period of 1 year.
A boy 11.0m above the ground in a tree throws a ball for his dog, who is standing right below the tree and starts running the instant the ball is thrown. How far from the tree will the dog catch the ball
A bicycle racer is going downhill at 12.2m/s when, to his horror, one of his 2.42kg wheels comes off when he is 75.0m above the foot of the hill. How much total kinetic energy does the wheel have when it reaches the bottom of the hill
A rod (length = 80 cm) with a rectangular cross section (1.5 mm ? 2.0 mm) has a resistance of 0.20 ?. What is the resistivity of the material used to make the rod
Mary (mass = 33 kg) likes to slide too. On a nearby playground there is a straight metal slide with a vertical drop of 2.0 m and a length (measured along the slide) of 3.3 m, What was the net change in potential energy when she went from the top of..
A rock has a narrow crack (width 1.9 mm) into which water can penetrate. When this water freezes, it expands. Calculate the pressure on the rock when the water freezes
When a 50.0-V emf device is placed across two resistors in series, a current of 12.0 A is flowing in each of the resistors. What is the magnitude of the larger of the two resistances
Compressed air can be pumped underground into huge caverns as a form of energy storage. The volume of a cavern is 4.9 Ã- 105 m3, how many homes could this internal energy serve
Starting from rest, a hammer thrower performs 4 revolutions in 4 seconds before releasing the hammer. What is the centripetal acceleration needed to rotate the hammer
Dolphins emit ultrasonic waves with a frequency as high as 2.5 105 Hz. What is the wavelength of such a wave in seawater at 25° C
A moon rock is found to contain 500 g of 232Th and 100 g of 208Pb. Assuming that all of the lead has resulted from the decay of thorium, calculate the age of the moon rock
A baseball is thrown from the roof of 23.1 -tall building with an initial velocity of magnitude 11.5 and directed at an angle of 52.0 above the horizontal. What is the speed of the ball just before it strikes the ground? Use energy methods and ignore..
A car is coasting at 20 meters/sec at the top of a 100 meter high hill. The car rolls down the hill. How fast fast is the car traveling when it reaches the bottom
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