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Consider a one-dimensional particle of mass m feeling the inverse harmonic oscillator potential V=-1/2kx^2 (k>0)
a) solve the equation of motion( F=ma, where a = d^2x/dt^2)for the initial conditions x(t)=x0 and x'(t)=x'0 at t-0.b) using your solution from part a), show that the totalenergy E of the system is conserved.
In a hydraulic lift, the maximum gauge pressure is 15.3 atm. what is the heaviest vehicle that can be lifted
A girl of mass 40 kg jumps with a horizontal velocity of 5 m s-1 onto a stationary cart with frictionless wheels. What is her velocity as the cart starts moving
An aluminum cup contains 225 g of water and a 40-g copper stirrer, all at 27°C. A 500-g sample of silver at an initial temperature of 85°C is placed in the water. Calculate the mass of the aluminum cup
Jack and Jill are standing on a crate at rest on the frictionless, horizontal surface of a frozen pond. What is the final speed of the crate if Jack jumps first and then a few seconds later Jill jumps in the same direction
a proton and an electron have the same kinetic energy upon entering a region of constant magnetic field. What is the ratio of the radii of their circular paths?
q1. an artillery shell is fired with an initial velocity of 303 ms at 46deg above the horizontal. to clear an avalanche
A uniform narrow tube 1.80m long is open at both ends. It resonates at two successive harmonics of frequencies 279Hz, What is the speed of sound in the gas in the tube
Two tugboats pull a disabled supertanker. Each tug exerts a constant force of 1.8×106 one at an angle 17 degrees west of north, What is the total work they do on the supertanker
The position of an object connected to a spring varies with time according to the expression x = (4.4 cm) sin(6.9?t). (a) Find the period of this motion. s (b) Find the frequency of the motion. Hz (c) Find the amplitude of the motion. cm (d) Find ..
Now assume the particle is a proton and that its initial velocity is 254.7 m/s to the right. If the magnitude of the magnetic field is 0.98 T
question1. a runner is running on a circular track that is 200 m in circumference. find out the magnitude of his
charge is distributed with constant volume density d throughout the rectangular box with length a width b and height
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