Astring is stretched between a fixed support and a pulley a distance 111 cm apart. the tension on the string is controlled by a weight hanging from the string below the pulley. an electomechnical vibrator is used to vibrate the string at 120 hz. when the weight is adjusted to 275 g, the string is found to oscillate in its third standing wave mode (three loops). what is the speed of wave propogation on the string in this mode?

88.8 m/s= Speed of wave propagation in the required mode.(3 loops)

Explanation:

When there are 3 loops.  

the total length = L = 3 λ /2

⇒ λ  = 2 L / 3 = 2 ( 1.11 ) / 3 = 0.74 m

Velocity = v = f λ = (120)(0.74) = 88.8 m/s

grav potential energy

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.