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A transverse wave traveling on a string is represented by y(x) = 0.48*cos(5.6x+84t). y(x) is measured in cm above or below equilibrium, x is measured in meters, and t is measured in seconds. Please determine each of the following properties of this wave, labeling each value with correct units:
a) the wavelength
b) the frequency
c) the velocity that the wave peaks travel down the string. Please state the direction they are traveling.
d) the amplitude of the transverse vibrations
e) the maximum and minimum speeds of the individual particles along the string (in the up-down direction).
A rod has a linear density ? = 3x, where x is the distance along the rod, What is the coordinate of the center of mass of the rod
The box is open at the top and has edge length L = 66 cm. Find out (a) the x coordinate, (b) the y coordinate, and (c) the z coordinate of the center of mass of the box.
The magnetic force acting on a wire that is perpendicular to a 3.7 T uniform magnetic field is 6.4 N. If the current in the wire is 5.0 A, what is the length of the wire that is inside the magnetic field? Answer in units of m.
An outfielder throws a 0.150 kg baseball at a speed of 42.0 m/s and an initial angle of 30.0°. What is the kinetic energy of the ball
Use the data of Table 7.3 to find the point between Mars and the Sun at which an object can be placedso that the net gravitational force exerted by Mars and Sun on this object is zero.
A 142Kg create is placed on an inclined ramp. when the angle the ramp makes the horizontal is increased to (alfa), the crate beging to slide downward.
Because of your knowledge of physics, you head your boat 44° west of north and have a velocity of 8.0 m/s due north relative to the shore. Illustrate w hat is the velocity of the current? What is your speed relative to the water.
Batman (mass = 101 kg) jumps straight down from a bridge into a boat (mass = 590 kg) in which a criminal is fleeing. What is the velocity of the boat after Batman lands in it
Your task is to design a boiler to produced saturated steam at 300 °C. Because energy costs money, you decide to use "waste" hot water streams already in the plant to feed the boiler. What is the steam velocity coming out of the boiler
A 100.0 kg bungee jumper steps off a bridge with a light bungee cord tied to her and to the bridge. The unstretched length of the cord is 13.0 m. She reaches the bottom of her motion 38.0 m below the bridge before bouncing back. Her motion can be ..
A 80-kg snow skier is being pulled up a 16 ° slope by a steel (Young's modulus 2.0 x 10^11 N/m2) cable. The cable has a cross-section area of 7.0 x 10^-5 m2. what is the original (unstretched) length of the cable
At some automobile toll-collecting stations, a thin metal wire sticks up from the road and makes contact with cars before they reach the toll collector. What is the purpose of this wire?
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