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- Look for center 0f mass by caIcuIus 0f a soIid uniform hemisphere 0f M as mass and R as radius with its flat side pointed towards the ground.Space debris left from old satellites and their launchers is becoming a hazard to other satellites. (a) Calculate the speed of a satellite in an orbit 900 km above Earth's surface. (b) Suppose a loose rivet is in an orbit of the same radius that intersects the satellite's orbit at an angle of 90°. What is the velocity of the rivet relative to the satellite just before striking it? (c) If its mass is 0.500 g, and it comes to rest inside the satellite, how much energy in joules is generated by the collision? (Assume the satellite's velocity does not change appreciably, because its mass is much greater than the rivet's.)Convert the point from rectangular coordinates to cylindrical coordinates. (9sqrt3, -9, 6)
- A block of mass 2 kg and one of mass 5 kg are connected by a massless string over a pul- ley that is in the shape of a disk having a radius of 0.25 m, and a mass of 5 kg. In ad- dition, the blocks are allowed to move on a fixed block-wedge of angle 48°, as shown. The coefficient of kinetic friction is 0.18 for both blocks. 2 kg 0.25 m 5 kg 5 kg 48° Determine the tension in the horizontal part of the string. The acceleration of gravity is 9.8 m/s². Assume the positive direction is to the right. Answer in units of N.A small mass m is released from rest at the top of a frictionless spherical surface. At what angle with vertical will it leave contact with the sphere? (48.2°)