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a) If a simple planar pendulum seems to be a simple harmonic oscillator, and if a simple harmonic oscillator is a system that acts like a mass on a spring, then why is the period of a mass on a spring independent of spring length ?
b) Describe an entirely different scenario in which the time - rate of change of some variable is a function of that variable itself. Ideally, you might come up with a situation in which it is the rate of change of the rate of change (i.e.: the second derivative) that is relevant and in which the function at hand is a linear function, but neither of these two features is mandatory. Somehow or another in words and pictures, capture a situation in which some quantity changes as time passes 1 in a manner that is directly determined by that quantity itself (as opposed to being directly determined by time).
You can draw this situation from your imagination, from familiar scientific phenomena or from daily life from anywhere as long as the scenario is clearly described and convincingly fits with the required relationship
Light of wavelength 800nm is incident on a metallic surface. if the stopping potential for the photo-electrons ejected from the metal is 0.35 volts, find the work function for the metal and the longest wavelength incident light that will eject photo-..
A playground merry-go-round has a disk-shaped platform that rotates with negligible friction about a vertical axis. determine how fast will the disk be turning
A 8.00-kg block of ice, released from rest at the top of a 1.32-m -long frictionless ramp, slides downhill, reaching a speed of 2.76m/s at the bottom. What is the angle between the ramp and the horizontal
What is the comet's speed at its perihelion (closest approach to the sun) where the distance from the sun is 8.91 x 1010 m. The orbit of Halley's comment around the Sun is a long thin ellipse.
How much heat entered or left the helium during segments ab, bc, and ca? By how much did the internal energy of the He change from a to b, from b to c, and from c to a?
A train normally travels at a uniform speed of 72 km/h on a long stretch of straight, level track. how much time is lost in stopping at the station
An elevator's cable snaps and its emergency brakes start gripping at the secondary line in order to slow its descent. How fast is the elevator going after falling 3 stories
It's possible to estimate the percentage of fat in the body by measuring the resistance of the upper leg rather than the upper arm; the calculation is similar. What are the fractions of muscle and fat in the leg
A massless spring with spring constant k is compressed by an amount xo. What is the velocity of the combined masses (m+2m) just after the collision
A solution is prepared by mixing 631 mL of methanol with 501 mL of water. The molarity of methanol in the resulting solution is 14.29 M. Calculate the difference in volume between this solution and the total volume of water and methanol that were m..
An experiment measures the temperature of a 270 substance while steadily supplying heat to it. The results of the experiment show. What are (a) specific heat of the liquid phase and (b) the heat of vaporization.
A Hall Effect probe used to measure magnetic fields is made with a copper bar of thickness 1.60-m. find the perpendicular magnetic field present
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