u nel ihe collišion, the red puck has velocity components of 4.0 m/s in the tr d
ID: 2034648 • Letter: U
Question
u nel ihe collišion, the red puck has velocity components of 4.0 m/s in the tr direction and 2.0 m/s in the ty dircction (north). What is the magnitude and direction of the velocity of the green puck after the collision? 7. The radius of a wheel is 0.600 m. A ropc is wound around the outer rim of the wheel. The rope is pulled with a force of magnitude 17.00 N, unwinding the rope and making the wheel spin counterclockwise 4. A unicycle has a single wheel of radiusabout its central axis. Ignore the mass of the 0.80 m and rotational inertia of 0.090 kg mpe about its axle. The total mass of thoc unicycle including the wheel and rider is whccl makes one revolution? 93 kg. When coasting at constant specd what fraction of the total kinctic energy of theope? the bicycle (including rider) is the rotational kinetic energy of the wheel? (a) How much rope unwinds while the (b) What is the torque on the wheel duc to (c) How much work is done by the rope on the wheel during this time?Explanation / Answer
4. KE = rotational KE + translational KE
KE = I w^2 /2 + m v^2 / 2
and w = v/ r
KE = (0.090)(v/0.80)^2 / 2 + 93 v^2 / 2
KE = 93.141 v^2 / 2
fraction of rot KE = ( 0.090 (v/0.80)^2 / 2) / (93.141 v^2 / 2)
= 1.5 x 10^-3
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