Question

1. A 0.150-kg glider is moving to the right on a frictionless, horizontal air track with a speed of (nen m/s. It has a head-on collision with a 0.300-kg glider that is moving to the left with a speed of 2.20 m/s. Find the final velocity (magnitude and direction) of each glider if the collision is elastic 2. A part of a mechanical linkage has a mass of 4 kg. We measure its moment of inertia about an axis 0.2 m from its center of mass to be 0.321 kg m2. What is the moment of inertia about a paralle axis through the center of mass? 3. A 15 kg bucket of water is suspended by a very light rope wrapped around a solid uniform cylinder 0.300 m in diameter with mass 12.0 kg. The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls 10.0 m to the water a. What is the tension in the rope while the bucket is falling? b. What is the acceleration of the bucket? c. With what speed does the bucket strike the water? d. What is the time of fall? 4. A steel cable with cross-sectional area 6.00 cm2 has an elastic limit of 5.40 x 108 Pa. Find the maximum upward acceleration thet can be given a 1200-kg elevator supported by the cable if the stress is not to exceed one-half of the elastic limit Ysteel 20 x 1010 Pa. Water enters a house through a pipe with an inside diameter of 2.0 cm at an absolu.e pressure of 3.0 x105 Pa. A 1.0-cm diameter pipe leads to the second-floor bathroom 7.0 m above, when the now 5. speed at the inlet is 1.5 m/s, find: a. Flow speed in the bathroom b. Absolute Pressure in the bathroom c. Gauge Pressure in the bathroom d. Volume flow rate in the bathroom

Please answer both 4&5 asap thanks!!!

Answer 1

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