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A man stands on a platform that is rotating (without friction) with an angular speed of 1.1 rev/s; his arms are outstretched and he holds a brick in each hand. The rotational inertia of the system consisting of the man, bricks, and platform about the central vertical axis of the platform is 6.0 kg·m2. By moving the bricks the man decreases the rotational inertia of the system to 2.0 kg·m2.
(a) What is the resulting angular speed of the platform? rev/s (b) What is the ratio of the new kinetic energy of the system to the original kinetic energy? (c) What provided the added kinetic energy? None of these is correct. the momentum of the platform the man moving the weights further away from his body the man pulling the weights closer to his body
A rabbit runs in a straight line with a velocity of +1.40 m/s for a period of time, rests for 12 s, and then runs again along the same line at +0.63 m/s for an unknown amount of time.
A 4.0 kg block is released from rest at the top of a 30 degree frictionless incline. The block makes a head on elastic collision with another 3.0 kg block initially at rest on a horizontal surface at the bottom of the incline.
A mass of 1.60 kg stretches a vertical spring 0.335 m. If the spring is stretched an additional 0.164 m and released, how long does it take to reach the (new) equilibrium position again.
If air resistance is negligible, using energy considerations alone, how fast must the ball be going after it falls 200 meters.
A snowball rolls off a barn roof that slopes downward at the angle of 40 ^circ. The edge of the roof is 14.0 {rm m} above the ground, and the snowball has a speed of 7.00 {rm m/s} as it rolls off the roof. Ignore air resistance.
An inventor claims to have devised a cyclic engine which exchanges heat with reservoirs at 300 K and 540 K, and which can produce 450 J of work per 1000 J of heat extracted from the hot reservoir. Is his claim feasible.
As a positron moves through a region of space, its speed increases from 2.80 X10^6 m/s to 8.00 X10^6 m/s. The electric force is the only force acting on the positron. Across what potential difference did the positron travel?
The critical angle for a special type of glass in air is 41.8. The index of refraction for water is 1.33. What is the critical angle if glass is immersed in water.
The bones of a saber-toothed tiger are found to have an activity per gram of carbon that is 14.70 of what would be found in a similar live animal. How old are these bones.
At t = 0 a grinding wheel has an angular velocity of 21.00 rad/s. It has a constant angular acceleration of 21 rad/s^2 until a circuit breaker trips at 2.40s. From then on it turns during 344 rad as it coasts to a stop at constant acceleration.
When a high speed passenger train traveling at 113 km/h rounds a bend, the engineer is shocked to see that a locomotive has improperly entered onto the track from a siding and is a distance D = 642m ahead.
The electric potential inside a conducting sphere is 245V, and a distance d = 32.0cm from the surface of the sphere, the potential is 175V. Calculate (a) the radius of the sphere and (b) the charge on the sphere.
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