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A 2.5kg mass tied to a string is whirled around a horizontal circle of radius 1.7m. The tension in the string is 35.7N and the string is inclined at 60° above the horizontal. Calculate the speed at which the stone moves round the circle.


A 2.2kg mass is whirled in a vertical circle of radius 1.8m at a uniform constant speed. calculate this speed if the minimum tension in the rope is 9.5N.


Three small positive electrical charges A, B and C are placed along a straight line. The distance between A and B is 12 cm. A and B have equal charges while C has twice the charge of each of A and B.



At what distance from B should C be placed in order for the resulting force on B to be zero?


A 12.45 kg block is slid from a height of 12.55 m down a friction-less incline. It comes to a flat surface and crosses a 6.67 m strip of sandpaper with a coefficient of friction of 0.34. After passing over the sandpaper, the block is traveling on a friction-less surface again. How fast is the block traveling? 


A source emitting sound at 385.0Hz is moving toward an observer at 32.0 m/s . The air temperature is 20.3C. What is the frequency of the sound detected by the observer? 


The air temperature is 24C and an air column carries a standing sound wave at a frequency of 350Hz. What is the length of the air column, which is closed at one end, if you want to hear the third harmonic ? 


A burglar coughs with a sound intensity of 2.48 * 10 ^ - 7 * W / (m ^ 2) . A burglar alarm will ring if sound is detected 30dB above the alarm's threshold of 1.5 * 10 ^ - 10 * W / (m ^ 2) Will the burglar set off the alarm ? 


Calculate the period of the Jupiter satellite Europa, when it is known that the radius of its orbit is about 600,000 km and the mass of Jupiter is M = 2 × 10²⁷kg.


An aircraft is travelling at Mach 0.92 in air that is 12.5 degrees * C . What is the speed of the aircraft? 


A string on a cello has a tension of 34.5N. The linear density is 0.05g / m . What is the speed of sound along the string ? 


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