A block of mass 2.40 kg is on a tabletop and is connected to a second block by a pulley. The second block has a mass of 1.80 kg and hangs straight down. When the blocks are released from rest they move through a distance of 0.500 m, at which point the hanging block hits the floor. Given that the coefficient of kinetic friction between the first mass and the horizontal tabletop is 0.450, find the speed of the blocks just before the second block lands. (Use energy relations to solve.)

A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.79 m. With the string hanging vertically, the object is given an initial velocity of 2.8 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle with its initial vertical orientation and then swings back downward. Find the angle 0. Number i Units

An Atwood's machine consists of two different masses, both hanging vertically and connected by an ideal string which passes over a pulley. Let the masses be M1 and M2 and M2 = 2M1. Initially, M1 is held fixed a distance y below M2. Find the speed of the blocks when they are the same elevation (that is, the same horizontal position, by then each block has moved y/2).

The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 8 and 33 kg. If A and B are 4.5 and 0.5 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B? (a) VB= (b) VB= (c) KEheavier KElighter Number i Number i = Number i VA= 0 m/s A HA B- hg VA= 0 m/s Units Units Units