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A hollow sphere of radius 0.250 m, with rotational inertia I = 0.0790 kg·m2 about a line through its center of mass, rolls without slipping up a surface inclined at 41.8° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 18.0 J.
(a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has moved 0.700 m up the incline from its initial position, what are (c) its total kinetic energy and (d) the speed of its center of mass?
A wave on a Slinky has a frequency of 1.69 Hz. It takes 4.1 s to travel the length of the Slinky (0.29 m). What is the wavelength.
The molecular mass of helium is 4 g/mol, the Boltzmann's constant is 1.38066 × 10?23 J/K, the universal gas constant is 8.31451 J/K · mol, What is the average kinetic energy of each helium atom
A projectile of mass 0.950 kg is shot straight up with an initial speed of 24.0 m/s, If the projectile rises to a maximum height of only 19.7 m, determine the magnitude of the average force due to air resistance
A disk7.97cm in radius rotates at a constant rate of1160rev/min about its central axis. Determine the radial acceleration of a point on the rim
What is the acceleration of a rising hot-air balloon if the ratio of the air density outside the balloon to that inside is 1.37?
In a pool game, the cue ball, which has an initial speed of 5.0 m/s, make an elastic collision with the eight ball, which is initially at rest. Find the direction of motion of the cue ball after the collision
A 115kg mail bag hangs by a vertical rope 3.5m long. Find the force needed to hold the bag in its new position
Two loudspeakers are placed at either end of a gymnasium, both pointing towards each other. The sound emitted by the speakers is in phase and are of frequency of 256 Hz.
A 26 kg gun is standing on a frictionless surface. The gun fires a .0573 kg bullet with a muzzle velocity of 323 m/s. The positive direction is that of the bullet immediately after the gun was fired. compute the momentum of the gun immedately afte..
Now solve for the integrated rate laws that predict the concentrations of the four products as functions of time, and predict the Final concentrations of each product in the long-time limit. (Note that without reverse reactions the Final concentra..
An electron moves in a circular path perpendicular to a uniform magnetic field with a magnitude of 2.1 mT. Estimate the time it takes to complete one revolution
The leader's advisors reluctantly admit that an election must be called if N is such that, at any vote on government policy, the chance of a simple majority in favor would be less than 80%. Given that p = 0 . 8, estimate the lowest value of N that..
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