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6. A force of 1.0 x 10^3 N is applied to a steel rod of length 1 m and a circular cross-section of area 10 cm^2. Find the elongation of the rod. Young's modulus for steel is 2.0 x 10^11 Pa. 7. A 300 g baseball traveling at 30 m/s is struck by a bat in the direction from which it came at 40 m/s. Find the impulse of the force on the baseball. 8. An object with a mass of 2 kg traveling with a velocity of 3 m/s, collides head-on and elastically with a stationary object of mass 0.5 kg. The velocity of the 2 kg mass after the collision is: 9. A disk with a mass of 50 kg and radius 0.40 m is rotated about its axis by a motor. The disk starts from rest and rotates at 120 rev/min in 10 s. Find the torque, assuming it to be a constant. 10. A 3 kg bowling ball traveling with a velocity of 3 m/s collides head-on with another bowling ball of the same mass traveling with a velocity of - 2 m/s. If the collision is perfectly elastic, the velocities of the bowling balls after the collision is: 11. A 200 g ball hits a wall perpendicularly with a velocity of 30 m/s and rebounds back perpendicularly with a velocity of 20 m/s. If the collision lasts for 5 milliseconds, find the average force exerted by the ball on the wall. 12. If a solid cylinder, a hoop and a solid sphere of the same mass are rolled down simultaneously from the same height on an inclined plane, in which order will the objects reach the bottom of the incline? 13. A solid cylinder of mass 8 kg and diameter 20 cm is rotated about an axis parallel to its central axis at a distance of 10 cm from the cylinder. The rotational inertia of the cylinder about the parallel axis is: 14. A uniform solid sphere of mass 5 kg and radius 30 cm is rotating about an axis through its center at the rate of 180 rev/min. Find the kinetic energy of the sphere. The rotational inertia of a uniform sphere is 2/5 MR^2. 15. An angular acceleration of 1200 rev/min2 when expressed in radians/s^2 is: 16. A star rotates about its axis through a diameter once in 50 days. At the end of its life, the star collapses to one-hundredth of its original diameter. The rate of rotation of the collapsed star will be: |
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