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A student sits on a stool that is free to rotate about a vertical axis. He holds his arms extended horizontally with a 4.0-kg dumbbell in each hand. The instructor starts him rotating with an angular speed of 0.5 rev/s. Assume that friction is negligible and exerts no torque about the vertical axis of rotation. Assume also that the rotational inertia of the student remains constant at 5.0 kgm2 as he pulls his hands to his sides and that the change in rotational inertia is due only to pulling the dumbbells in. Take the original distance of the dumbbells from the axis of rotation to be 90 cm and their final distance 15 cm. Find the final angular speed of the student.
Landing on the Moon, a spacecraft fires its retrorockets and comes to a complete stop just 19m above the lunar surface. It then drops freely to surface.How long does it take to fall in seconds? What is its impact speed in meter per seconds.
A 75 kg ladder that is 3.0 m in length is placed against a wall at an angle theta. The center of gravity of the ladder is at a point 1.2 m from the base of the ladder. find the static frictional force between the floor and the ladder
You are at a rock concert, and the sound intensity reaches levels as high as 120 dB. Calculate the amplitude of this oscillating force
A block of mass 2.0 kg is pushed against a vertical wall by a horizontal push (P) of 50.0 N. The block does NOT move. Assuming that the coefficient of the static friction, k, is equal to 0.60. Find the force AND the direction of the friction.
A 0.300-m-long cylindrical capacitor consists of a solid conducting core with a radius of 1.00mm, Calculate the total charge of the capacitor
A laser pulse has an energy of 16 J and a beam radius of 2 mm. The pulse duration is 13 ns and the energy density is constant within the pulse. What is the total energy density within the pulse
A surgeon is attempting to correct a detached retina by using a pulsed laser. If the pulses last for 36.0 ms, how many photons are present in each pulse
The rotational velocity of a merry-go-round increases at a constant rate from 0.6 rad/s, What is the rotational acceleration of the merry-go-round
A fluid has a density of 1040kg/m^3. If it rises to a height of 1.8cm in a 1.0mm diameter capillary tube, what is the surface tension of the liquid
A barge floating in fresh water (? = 1000 kg/m3) is shaped like a hollow rectangular prism with base area A = 650 m2, Find the mass of the coal in kilograms
A block of weight 43.6 N is hanging from a rope. The tension from the rope is pulling upward on the block. The block is accelerating upward at a rate of 1.22 m/s^2. What is the magnitude of the tension in the rope?
A 12kg hammer strikes a nail at a velocity of 8.2m/s and comes to rest in a time interval of 8.0. What is the average force acting on the nail
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