sumr01e2 - PHYSICS DEPARTMENT PHY 2053 Useful information...

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PHYSICS DEPARTMENT PHY 2053 2nd Exam Summer 2001 Useful information: G =6 . 67 × 10 - 11 N*m 2 /kg 2 Radius of the Earth: R =6 . 38 × 10 6 m Mass of the Earth: M =5 . 98 × 10 24 kg Moments of Inertia: Hoop or cylindrical shell: I = MR 2 Solid cylinder or disk: I = 1 2 MR 2 Solid sphere: I = 2 5 MR 2 Long thin rod about its center: I = 1 12 ML 2 Long thin rod about its end: I = 1 3 ML 2 1. An object at rest explodes into three pieces of equal mass. One moves East at 20 m/s; a second moves 45 degrees South of East at 30 m/s. What is the velocity of the third piece? (1) 46 m/s at 27 degrees North of West (2) 78 m/s at 33 degrees West of North (3) 22 m/s at 17 degrees South of West (4) 35 m/s at 45 degrees North of West (5) 58 m/s at 62 degrees North of East 2. A 1.2 kg ball drops vertically onto a floor, hitting with a speed of 25 m/s. It rebounds with an initial speed of 10 m/s. If the ball is in contact with the floor for 0.02 s, what is the magnitude of the average force on the floor from the ball? (1) 2100 N (2) 900 N (3) 18 N (4) 100 N (5) 1700 N 3. A 0.01 kg bullet is Fred into a 2.5 kg ballistic pendulum and becomes embedded in it. If the pendulum rises a vertical distance of 0.08 m, calculate the initial speed of the bullet. Use g =9 . 80 m/s 2 . (1) 315 m/s (2) 1350 m/s (3) 925 m/s (4) 2 m/s (5) 784 m/s 4. Two blocks of mass m 1=2 . 0kgand m 2=6 . 0kgsitonasemi-circular frictionless track of radius R =0 . 50 m. Initially, the block of mass m 1 sits at rest at the bottom of the track, while the second block of mass m 2ishe ldfromahe ight R and then released from rest. The collision between the two blocks is perfectly inelastic. What is the maximum height the blocks will reach after the collision? Use g =9 . 80 m/s 2
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sumr01e2 - PHYSICS DEPARTMENT PHY 2053 Useful information...

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