1. Car X is a 2600-kg car traveling at 35 m/s. It collides with Car Y, a 1450-kg car moving 12 m/s in the same direction. The two cars stick together upon colliding. What is the new speed of these cars? 2. A 42.0-g bullet leaves a rifle and embeds itself in a 2.96-kg stationary block of wood. The wood-bullet combination flies away with a velocity of 4.9 m/s. What was the initial velocity of the bullet in m/s?

3. Ball A is 0.40 kg and it collides with Ball B of mass 0.60 kg. Ball A initially moves to the right with a velocity of 1.0 m/s while Ball B moves to the left at 2.0 m/s (or -2.0 m/s). After the collision, Ball A moves to the left at 2.60 m/s. What is the velocity of Ball B in m/s?

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!

Aperson walking 1 mile everyday for exercise, leaving her front porch at 9: 00 am and returning to her front porch at 9: 25 am. what is the total displacement of her daily walk? a) 1 mileb) 0c) 25 minutes d) none of the above

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)