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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
What is the angular momentum of a figure skater spinning at 2.0rev/s with arms in close to her body, assuming her to be a uniform cylinder with a height of 1.5 m, a radius of 15cm , and a mass of 48kg ? How much torque(in magnitude) is required to sl..
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A projectile is launched with 200 kg m/s of momentum and 1000 J ofkinetic energy. What is the mass of the projectile
A converging lens with a focal length of 89.0cm forms an image of a 3.25cm -tall real object that is to the left of the lens. Where are the object and image located in relation to the lens
A double-convex lens is to be made of a transparent material by an index of refraction of 1.4. One surface is to have twice the radius of curvature of the other and the focal length is to be 50mm. What is the magnitude of the (a) smaller and (b) larg..
A loop of area 0.02 m^2 is perpendicular to a magnetic field which changes from 2 T to 1.5 T in a time of 0.4 sec. What is the average voltage induced in the loop
A single circular loop of radius 0.24m carries a current of 2.7A in a magnetic field of 0.96T .What is the maximum torque exerted on this loop?T=_____ N*m
find a the energy absorbed as heat and b the change in entropy of a 3.94 kg block of copper whose temperature is
A 70 cm long, 0.8 mm diameter steel guitar string must be tightened to a tension of 2000 N by turning the tuning screws. By how much is the string stretched
The projection lens in a certain slide projector is a single thin lens. A slide 23.9 mm high is to be projected so that its image fills a screen 1.84 m high. Determine the focal length of the projection lens
The potential at location A is 392 V. A positively charged particle is released there from rest and arrives at location B with a speed vB. The potential at location C is 780 V, and when released from rest from this spot, the particle arrives at B wit..
Object A of mass 1 kg and velocity 10 m/s east collides with object B of mass 2 kg and veocity 8 m/s south. What is the velocity of object B after the collision
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