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The length of a simple pendulum is 0.79 m and the mass of theparticle (the "bob") at the end of the cable is 0.24 kg. Thependulum is pulled away from its equilibrium position by an angleof 8.50 degrees and released from rest. Assume that frictioncan be neglected and that the resulting oscillatory motion issimple harmonic motion.
(a) What is the angular frequency of the motion?
(b) Using the position of the bob at its lowest point as thereference level, determine the total mechanical energy of thependulum as it swings back and forth.
(c) What is the bob's speed as it passes through the lowest pointof the swing?
A 80-g bullet is fired from a rifle having a barrel 0.582 m long. Choose the origin to be at the location where the bullet begins to move. Then the force (in newtons) exerted by the expanding gas on the bullet is 14100 + 9100x - 24250x2, where x is i..
Drag racing combines the reflexes of the driver with a powerful engine to propel a specially designed car across a quarter mile as quickly as possible. What is the time for the car to go the quarter-mile
A ball is dropped from rest at the top of a 6.10 m tallbuilding, falls straight downward and collides inelastically withthe ground, and bounces back. How many bounces can the ball make and still reach a windowsill that is2.38 m above the ground
A projectile is fired with an initial velocity of 20 m/s at 50° above horizontal. At the projectile's highest point, what is its velocity?.What is its acceleration?
a capacitor with a capacitive reactance of is connected in series with a 100 resistor across in ac source of frequency 60.0hz. what is the phase angle
A 5.43 kg block free to move on a horizontal, frictionless surface is attached to one end of a light horizontal spring. find the speed of the block at the equilibrium position of the spring
In 1980, over San Francisco Bay, a large yo-yo was released from a crane. What was the magnitude of the acceleration of the yo-yo during (a) its fall
Two waves traveling on a string in the same direction both have a frequency of 125 Hz, What is the amplitude of the resultant wave if the original waves differ in phase by each of the following values
The ball is 21.9 m from the goal post. The ball is kicked with an initial velocity of 19.8 m/s at an angle θ above ground. Between what two angles, θ1 and θ2, will the ball clear the 2.74m high crossbar.
A bungee jumping mime is attached to a bungee cord 25.0 m long. The mime is in freefall until he gets to the end of the bungee, Find the maximum speed attained by the mime
Two spherical shells have a common center. A -2.1 10-6 C charge is spread uniformly over the inner shell, which has a radius of 0.050 m. A +5.0 10-6 C charge is spread uniformly over the outer shell.
Ray decides to paint the outside of his uncle's house. He uses a 4.0-m-long board supported by cables at each end to paint the second floor. find the force that the left cable exerts on the board
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