3. A bucket at for collecting water from a well is suspended from a light rope that is wrapped around a pulley with radius r = 10 cm and a moment of inertia of 0.1 kg-m². The empty bucket has a mass of 2 kg. Suppose someone drops the bucket from rest. Use conservation of energy to find how fast the bucket moving right before it hits the surface of the water 3 m below. 10 Note: you need to use that the speed of the bucket, v, is related to the angular speed of the pulley, w, by v = rw. Justify this with a brief explanation.

A 4m board weighing 60 N extends out over the edge of the table with 40% of the board's length off the table. How far beyond the table can a 20N cat walk before the board begins to tilt Meow, O A. 1.2 m О В. 1.5 m о С. 1.1 m O D. 1.4 m O E. None of the above

a. What is the angular velocity of the two after the collision?b. What is the kinetic energy before and after the collision?c. What is the total linear momentum before and after the collision?

Q16. A sphere is attached to rod of negligible mass as shown in Figure Q16. The sphere isgiven a small displacement from its initial vertical position. When the rod is in horizontalposition, find its speed v.

A solid disk, a circular hoop and a solid spherical ball (all made of the same material and with the same diameter) are released from rest and then roll down a slope. Which object reaches the bottom first? Select one: a. Solid spherical ball b. Solid disk c. Circular hoop d. None, they all reach the bottom at the same time

B8

A solid spherical jewel rolls smoothly from rest down a ramp. The jewel descends a vertical height of 1.2m to reach the bottom of the ramp. What is the jewel's speed at the bottom of the ramp? Hint: This problem has nothing to do with elasticity as we did not formally cover that topic, and the inertia of a solid sphere is found by 2/5 m r2

Please answer this question in Handwritten format including FBD. Strictly do not use chatgpt,It is a mechanics question so you will never get the correct answer by using artificial intelligence.

The spin cycle of a clothes washer extracts the water in clothing by greatly increasing the water’s apparent weight so that it is efficiently squeezed through the clothes and out the holes in the drum. In a top loader’s spin cycle, the 45-cm-diameter drum spins at 1200 rpm around a vertical axis. What is the apparent weight of a 1.0 g drop of water?

A massless frame in the shape of a coff square 6.5 m on a side has a 17.6-kg ball at each corner. 1What is the moment of inertia (in kg m) of the four balls about an axis perpendicular to the plane of the square and passing through the corner marked O? From your answer without a decimal place. kg kg kg Un maecs sin mana es la forma de un cuadrado colt 6.5 m de lado tansle una bola de 176 kg en cadu esquina Cual es el modsento de ioereia (en kg m de la CORro bolas alrededor de uo eje perpendicular al plano del cuadindo y paia por la esquina aarcada con O Dr su repuenta sn lagar decamal kg