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. 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

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?

Q9 A Physics teacher is teaching a class about the effect of friction. They assemble a track that has a vertical loop of radius 30.0 cm. A toy car of mass 50.0 g is released from rest at a height of 1.00 m at the beginning of the track. The car rolls down the track and follows the loop before exiting the track. The teacher asks the class to calculate the speed of the toy car if the coefficient of friction were 0. Im 30 cm What is the calculated speed of the toy car as it reaches point X? (A) 1.49 ms (B) 2.21 ms! (C) 2.80 ms! (D) 7.84 ms

I Review I Constants A 2.2 kg , 20-cm-diameter turntable rotates at 150 rpm on frictionless bearings. Two 470 g blocks fall from above, hit the turntable simultaneously at opposite ends of a diameter, and stick. Part A What is the turntable's angular velocity, in rpm, just after this event? Express your answer to two significant figures and include the appropriate units. HẢ ? Value Units W = Submit Request Answer

*Chapter 11, Problem 13 Nonuniform ball. In the figure, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.47 m. The initial height of the ball is h = 0.34 m. At the loop bottom, the magnitude of the normal force on the ball is 1.92Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform density). The rotational inertia of the ball can be expressed in the general form I = BMR², but B is not 0.4 as it is for a ball of uniform density. Determine B. the tolerance is +/-2%