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A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg · m2. When one person is standing on the carousel at a distance of 1.5 m from the center, the carousel has an angular velocity of 0.6 rad/s. However, as this person moves inward to a point located 0.927 m from the center, the angular velocity increases to 0.8 rad/s. What is the person's mass?
A 37-kg girl is bouncing on a trampoline. All through a certain interval after she leaves the surface of the trampoline, her kinetic energy decreases to 215 J from 430 J. How high does she rise during this interval? Avoid air resistance.
A ball is thrown toward a cliff of height (h) with a speed of30 m/s and an angle of 60 degrees above the horizontal. What is the ball's impact speed
A small, 300 g cart is moving at 1.10 m/s on an air track when it collides with a larger, 4.00 kg cart at rest, What is the speed of the large cart after the collision
What are the displacement and velocity of the point on the cord. What is the magnitude of the acceleration of one of the liners toward the other because of their mutual gravitational attraction.
The 2.00 kg object below is released from rest at the height of 5.0 m on a curved frictionless ramp. At the foot of the ramp is a spring of force constant k = 450 N/m. The object slides down the ramp and into the spring, compressing it a distance x b..
A simple harmonic oscillator consists of a block of mass 2.2kg attached to a spring of spring constant 26N/m. When t = 1.60 s, the position and velocity of the block are x = 0.128m and v = 3.170 m/s. (a) What is the amplitude of the oscillations? ..
A proton travels with the speed of 8.34×105 m/s at an angle of 32.3° with the direction of a magnetic field. The field exerts a force of 3.00×10-17 N on the proton. What is the strength of the field.
A Van de Graaff generator is used to demonstrate the effects of high potential. The device has a radius of 59.7 cm, How much charge does the dome hold at its maximum potential
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..
During this process the arrow's deceleration has a magnitude of 1600 and the block's acceleration has a magnitude of 450. Explain how long does it take for the arrow to stop moving with respect to the block?
A 0.58 kg toy airplane is suspended from the ceiling by a 1.6 m cord and rotates in a horizontal circle, Find the speed of the plane, Find the tension in the cord
Write a general expression of the flux
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