Problem 2 (25 pts.):A block of massM= 5.4 kg, at rest on a horizontal frictionless table, isattached to a rigid support by a spring of constantk= 6000 N/m which is initially uncompressed.A bullet of massm= 9.5 g and velocityarrowrightnospvof magnitude 630 m/s strikes and becomes embeddedin the block. This compresses the spring and sets block and spring in simple harmonic motion.Determine:a) (8 pts.)the speed of the block immediately after the collision.b) (9 pts.)the amplitude of the harmonic motion.c) (8 pts.)the frequency of the harmonic motion.This study resource wasshared via CourseHero.com
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Problem 3(25 pts.)The figure to the right shows a block Swith massM. The block is free to move along a horizontalfrictionless surface and connected, by a massless cord thatwraps over a frictionless pulley with massmand radius(I=mr2/2) to a second block H also of massm.The hangingblock H falls as the sliding block S accelerates to the right.a)(6 pts.)Draw force diagrams for blocks S and H and thepulley.b)(10 pts.)Find the linear acceleration of the rope.c)(9 pts.)Find the magnitude of tension in the rope pulling on block S.mThis study resource wasshared via CourseHero.comr
Problem 4 (26 pts)As shown in the figure, anoverheadview of a thin uniform rod of length0.80 m and massM=1.0 kg rotating horizontally at angular speed 20 rad/s about an axis throughits center. A particle of mass M/3 initially attached to one end is ejected from the rod by a smallexplosion and travels along a straight path that is perpendicular to the rod at the instant ofejection. The particle's final speedvp(after the ejection) is 11.0 m/s.a)(6 pts.) What is the angular momentum (magnitude anddirection) of the particle about the center of rod at themoment before the ejection?b)(10 pts.)What is the final angular velocity (magnitude and direction) of the rod?c)(10 pts.) What is the change in kinetic energy of the system (the rod plus particle)?This study resource wasshared via CourseHero.com
Problem 5 (27 pts.):A block of massm1rests on a frictionless inclined plane at a heightabove a flat horizontal plane.This mass is released and slides down the incline, eventuallycolliding elastically with a second block at rest atx0 with massm2, withm1= 3m2/4.Immediately afterthe elastic collision, block number 2 moves to theright with velocityv2f.It encounters a region that hasfriction with a coefficient of kinetic friction ofμk,traveling a distancedbefore coming to rest.Answerthe following questions about these two blocks.a)(7 pts.)Determine an equation forv2fimmediately after the collision (usingm2,h, andb)(7 pts.)Determine an equation ford(in terms ofm2,h,μk, andg), the distance that block 2travels on the friction surface, before coming to a stop.c)(6 pts.)What is the magnitude (equation) and sign of the work done by the frictional force onblock 2?d)(7 pts.) What is thevelocityv1fof block 1 after the collision (in terms ofm2,h, andg). Usevector notation.This study resource wasshared via CourseHero.comh=g)Powered by TCPDF ()