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package of mass 10 kg sits at the equator of an airless asteroid of mass 6.8 105 kg and radius 46 m, which is spinning so that a point on the equator is moving with speed 4 m/s. We want to launch the package in such a way that it will never come back, and when it is very far from the asteroid it will be traveling with speed 187 m/s. We have a large and powerful spring whose stiffness is 3.0 105 N/m. How much must we compress the spring?
Perpetual motion machines have fascinated people especially inventors for hundreds of years before the laws of thermodynamics became known. Ideally, once energy is added to start a perpetual motion in machine, the machine would continue to operate..
A bullet is fired from ground level with a speed of 150 m/s at an angle of 30 degrees above the horizontal. What is the velocity of the bullet while it is at the highest point of its trajectory.
Assume that the sun runs out of nuclear fuel & suddently collapses to form a white dwarf star, with a diameter equal to that of the Earth. Estimate the new rotation period of the Sun.
An object of mass m is attached to a horizontal spring, stretched to a displacement A from equilibrium and released, undergoing harmonic oscillations on a frictionless surface with period T0. The experiment is then repeated with a mass of 4m. The sub..
What is instantaneous acceleration
Assume that, as lying on a beach near the equator watching the Sun set over a calm ocean, you start a stopwatch just as the top of the Sun disappears. You after that stand, elevating your eyes by a height H = 1.90 m.
Obtain a relation between the equilibrium lattice distance
At what angle should the road bank on the curve so that no frictional force is required by a vehicle travelling around the curve at the speed limit.
What is the velocity of the rocket when it runs out of fuel.
Presume the electron is at the midpoint between the proton.
A jogger accelerates from rest to 5.87 m/s in 3.53 s. A car accelerates from 21.3 to 34.7 m/s also in 3.53 s. (a) Find the magnitude of the acceleration of the jogger. (b) Find out the magnitude of the acceleration of the car. (c) How much further..
How fast should the platform move, v_p, for the person to detect a beat frequency of 7.00 Hz ? Take the speed of sound to be 344 m/s. Express your answer numerically in meters per second.
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