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The length of a simple pendulum is 0.77 m and the mass of theparticle (the "bob") at the end of the cable is 0.31 kg. Thependulum is pulled away from its equilibrium position by an angleof 6.5 ° and released from rest. Assume that friction can beneglected and that the resulting oscillatory motion is simpleharmonic motion.
(a) What is the angular frequencyof the motion?
(b) Using the position of the bobat its lowest point as the reference level, determine the totalmechanical energy of the pendulum as it swings back and forth.
(c) What is the bob's speed as it passes throughthe lowest point of the swing?
A copper ball with a radius of 1.1 cm is heated until its diameter has increasedby 0.23 mm. Assuming a roomtemperature of 22°C, find the final temperature of the ball
An x-ray photon is scattered from a free electron (mass m) at rest. The wavelength of the scattered photon is ?', and the final speed of the struck electron is v. Through what angle w is the photon scattered
One mole of a monatomic gas at 400 K is reversibly taken to half of its original volume by an isobaric process. How much work is done by the gas?
A 9.5 kg mess kit sliding on a frictionless surface explodes into two 4.75 kg parts, one moving at 1.5 m/s, What was the original speed of the mess kit
A 70.5kg football player is gliding across very smooth ice at 1.75 m/s. What is the player's speed afterward if the ball is thrown at 12.5m/s relative to the player
find the magnitude of her centripetal acceleration. A small box is held in place against a rough vertical wall by someone pushing on it with the force directed upward at 27{rm ^circ} above the horizontal.
A guitar string is vibrating in its fundamental mode, with nodes at each end. The length of the segment of the string that is free to vibrate is 0.388m. What is the wave speed for the transverse traveling waves on this string
Male mosquitoes in the mood for mating find female mosquitoes of their own species by listening for the characteristic "buzzing" frequency of the female's wing beats. How many wing beats occur in one minute
A playground merry-go-round of radius R = 1.20 m has a moment of inertia I = 260 kg · m2 and is rotating at 8.0 rev/min about a frictionless vertical axle, What is the new angular speed of the merry-go-round
You've made the finals of the Science Olympics! As one of your tasks, you're given 1.5g of copper and asked to make a cylindrical wire, What length l will you choose for your wire
A steel ball with a mass of 32.0g is dropped from a height of 2.10m onto a horizontal steel slab. The ball rebounds to a height of 1.50m. find the average force on the ball during the impact
A 20kg box is on a level surface pressed against a spring compressed 25cm and with k=1000 k/m. How far does the box go up the hill
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