A 48-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 3 m. The mass is in a medium that exerts a viscous resistance of 912 N when the mass has a velocity of 3 m/sec. Assume the mass is given an initial velocity of 10 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k=
b) Determine the damping coeffient 7. 7=
c) If the initial value problem for y(t), where y(t) denotes the displacement (in meters) of the mass from its equilibrium rest position, can be written in the form my'' + yy' + ky O where y(0) = yo and y'(0) = y'. what are the values of yo and y'o? Yo = yo
d) Solve it only far enough to describe the motion of the system with the terminology of this course. The system is e) What value of the damping coefficient y is required for the system to be critically damped? No decimals. Use "sqrt(foo)", without quotes, if you need the square root of foo. 7=

explanation:

the masses of the objects and the distance between them

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.

radial fractures in a piece of glass look most like which of the following?

a. spokes of a wheel

b. a circle

c. a zig zag

d. none of the above

the correct answer is a. spokes of a wheel

hope this (: