Vectors A and B lie in the xy-plane. Vector A has a magnitude of 19.1 and is at an angle of 125.5º counterclockwise from the +x-axis. Vector B has a magnitude of 27.7 and is 235.3° from the +x-axis. Resolve A and B into components, and express using ijk unit vectors, A = Azi + Ayj + Azk B = Bzi + Byj + Bzk where Ax, Ay, A, and Bx, By, and B, are the calculated values of the x-, y-, and z-components of vectors A and B, respectively. Ā= 0 A bot Find the magnitude and unit vector for the cross product between A and B. |Āx B| = Identify the unit vector for AX B. a) i b) jc) k

Aboat that travels with constant speed of 6.10 m/s in still water is to go directly across a river. the current in the river flows at 1.95 m/s. (a) at what angle must the boat be steered?

A23 kg log of wood begins from rest, 300 m up a sluice (a water track used to transport logs, think of it as an inclined plane with negligible friction) inclined at 20° to the horizontal. after it reaches the flat waterway at the bottom it collides elastically with a 100 kg block of wood initially at rest near the base of the incline. (a) how long does it take the 23 kg log to travel down the incline? (b) what is the speed of the 23 kg log at the bottom of the incline? (c) what are the velocities of both blocks of wood after the collision? (d) what is the total kinetic energy before the collision? (e) what is the kinetic energy of the 23 kg log after the collision? (f) what is the kinetic energy of the 100 kg block of wood after the collision? (g) what is the total kinetic energy after the collision? (h) compare the total initial and total final kinetic energies. is this consistent with what you would expect for elastic collisions? explain!

Gunpowder residue is most likely to show up where on a shooters hands