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In the figure below, a solid cylinder of radius 6 cm and mass 9 kg starts from rest and rolls without slipping a distance L = 6.0 m down a roof that is inclined at angle ? = 30°.
(a) What is the angular speed of the cylinder about its center as it leaves the roof?
________rad/s
(b) The roof's edge is at height H = 5.0 m. How far horizontally from the roof's edge does the cylinder hit the level ground?
_________m
A 1 kg wheel (hoop) rolls 5 rev. across a horizontal surface (without slipping)a distance of 3.2 m. if the wheel rolls for 3 sec. determine the angular velocity of the wheel
How does the decrease in gravitational potential energy of a falling ball compare to its increase in kinetic energy.
A river flows due east at 1.34 m/s. What is the velocity of the boat as viewed by an observer on the shore
an insulated container is filled with a mix of 400 g of water at 20 C and 60 g of ice at 0 C. assuming negligible heat is exchanged with the container, what is the temperature of the mixture when it reaches thermal equilibrium.
A top has a moment of inertia of 2.78 × 10^?4 kg·m^2 and is initially at rest. It is free to rotate about a vertical stationary axis. What is the angular velocity of the object
A hydrogen atom is in its ground state when its electron absorbs a 48 keV photon. What's the energy of the resulting free electron
A blue car with mass mc= 459 kg is moving east with a speed of vc= 20 m/s and collides with a purple truck with mass mt= 1246 kg that is moving south with a speed of vt= 10 m/s. find the magnitude of the initial momentum of the car
Radioactive isotopes often occur together in mixtures. assume a 480 sample contains , with a half-life of 12 days, and , with a half-life of 4.5 days.
A 5kg particle is hit with a 5N force for 0.2s towards a wall 5m away. How long does it take for the particle to hit the wall
Sound is detected when a sound wave causes the eardrum to vibrate. Typically, the diameter of the eardrum is about 8.4 mm in humans, What is the power delivered to your eardrum
Two cars have a head on collision. Both were traveling at 42m/s toward each other. Car A has a mass of 722 KG. Car B has a mass of 848KG. After impact, car A is moving backward at 2 m/s. What is car B's velocity after impact.
Two cars of mass 2000 kg and 1000 kg, respectively, collide inelastically. Find the initial speed and direction of the lighter car
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