A 15.1-cm long pen is tossed up in the air, reaching a maximum height of 1.49 m above its release point. On the way up, the pen makes 2.3 revolutions. Treating the pen as a thin uniform rod, calculate the ratio between the rotational kinetic energy and the translational kinetic energy at the instant the pen is released. Assume that the rotational speed does not change during the toss. 0.101
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- Starting from rest at t= 0, a cyclist starts racing at constant acceleration. The wheels of the bicycle are of radius R=0.40 cm and of mass 1 kg each. The combined mass of the man and bicycle frame (without wheels) is 70 kg. When t= 10.0 s, the total kinetic energy of the cyclist and his bicycle is 4,000 J. The acceleration continues until t= 15 s, when it abruptly ceases. Through what angle does the wheel rotate in the interval t=0 to t=30 s? (Consider the wheels as hoops for the purpose of rotational inertia)A solid ball of mass 0.10 kg and radius 2.8 cm is released from rest on a no-slip surface at a height of 0.75 m above the bottom of the track, as shown. After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface. Find: a) the ball's angular speed when it is on the frictionless side of the track and b) the height ball rises on the w = 120 rad/s; h = 0.54 m frictionless side.A car wheel ball is initially at rest at the top of a ramp. If the energy of the car wheel is to be conserved. What must be the equation of conservation of energy if we take into account translational and rotational kinetic energies. Q Zoom A 2 mv2 = 2 mv? + ½ lw? B ½ mv2 = ½ mv,? + mgh, mgh, = 2 mv? + ½ lw² D ½ mv,? + mgh, = ½ mv,? + mgh, ½ mv? + mgh, = ½ mv,? + ½ lw?
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