Question

answers pls

1. Determine whether the statements below are true or false: a. [4 points) Two carts move in the same direction along a frictionless track, each acted upon by the same constant impulse. If Cart 1 has the twice the mass of Cart 2, then Cart 2 will have the greater change in linear momentum. b. [4 points) Any force component that causes a centripetal acceleration cannot change the translational kinetic energy of the object. c. [4 points) A person's mechanical stability can be increased by lowering one's center of mass (such as when one bends their knees). 2. A cannon is rigidly attached to a carriage, which can move along frictionless horizontal rails, but is connected to a post by a large spring, as shown to the right. The cannon then fires a projectile. Including the effects of air resistance, determine whether cach statement below is true or false. a. 14 points) The work done by the cannon on the projectile is equal to the change in gravitational potential energy of the projectile. b. [4 points] During the firing of the projectile, the linear momentum vector of the system consisting of the cannon and carriage is conserved. c. [4 points) After firing the projectile, the mechanical energy of the system consisting of the cannon and carriage is conserved. - 3. [12 points) A disk of mass traveling at speed strikes a stick that is lying flat on frictionless ice, as shown in the overhead view of the picture in Figure (a). The disk strikes at the endpoint of the stick at a distance from the stick's center as shown in Figure (b). Assume that the collision is elastic and that the disk does not deviate from its original line motion, as shown in Figure (b). Defining the system as the disk and the stick, which of the following variables are NOT conserved during the collision? (Circle the correct answer. There may be more than one correct answer.) a. The linear momentum. b. The combined translational kinetic energy. c. The angular momentum. d. The rotational kinetic energy. e. The mechanical energy.

Answer 1

Solutions I b False Toue & False a False b Tove False & False (b) & Initial kinetic energy of bullet - Ilmu? ma lacagm= 10x10 3 kg. Ve 400 mis 2x10x10 34400 = 2 Joule potential energy of spring after compression = I Km2= gaonim 'M= 5 cm 5 S X20-2m * * 9004 (5470232 = 2.125 joule det vibe the velocity then m.vn2-11125 V'S 12 12-141232 yaxlo 3 TV': 13:22 ms)