Pool players often pride themselves on their ability to impart a large speed to a pool ball. In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in which the player strikes a ball with his pool cue). With the rail removed, a ball can fly off the table, as shown in the figure. d The surface of the pool table is h 0.830 m from the floor. The winner of the competition wants to know if he has broken the world speed record for the break shot of 32 mph (about 14.3 m/s). If the winner's ball landeda distance of d 4.35 m from the table's edge, calculate the speed of his break shot v Assume friction is negligible. m/s At what speed v1 did his pool ball hit the ground? m/s V1=

A

Consider an annular disk rolling down an inclined plane. The annular disk has mass 154 [g], inner radius 8.00 [cm] and outer radius 12.0 [cm]. The inclined plane has a slope that forms an angle of 44.6° with the ground. A.  Suppose that the coefficient of static friction ?s is large enough so that the annular disk rolls without slipping. What is the magnitude of the translation acceleration felt by the annular disk's center of mass in the direction parallel to the slope? B. What is the minimum value that the coefficient of static friction ?s must take so that the annular disk rolls without slipping?

In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 2.00 m in diameter (Figure 1). The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it. Part A At how many rpm must the disk turn to raise the elevator at 35.0 cm/s? Express your answer in revolutions per minute. Nνα ΑΣφ W = rpm Part B Figure 1 of 1 To start the elevator moving, it must be accelerated at g. What must be the angular acceleration of the disk, in rad/s? Express your answer in radians per second squared. Πν ΑΣφ ? Disk a = rad/s? Counterweight Part C Elevator

a The diagram above shows a yellow car going around a curve in a road (the broad gray line with a white dashed line) as seen from above. In the diagram, the car is moving to the right and slightly upward (notice the headlights are to the right and the tail lights are to the left). At its position shown in the diagram, the road has a radius of curvature r of 43 meters. At the time shown in the diagram, the car is speeding up at a rate of 2.2 m/s?. Also at this time, the total acceleration of the car (shown by a green arrow in the diagram) has a magnitude of 4.2 m/s?. Calculate the speed of the car, in units of meters per second, and this time. .-----

n IT'S ARMAGEDDON! A Texas sized asteroid is headed for Earth! You've been hired by NASA to be part of a misfit team of deep-core drillers to save the planet! As the engineer (and most educated person) on the team, you've been tasked with doing the calculations to make sure the Earth will be saved. The plan is to land on the 6.1 x 10²1 kg asteroid traveling at 9830 m/s and detonate a nuclear bomb. The asteroid will break into two pieces of equal mass. One piece will fly off at an angle of 30° and speed 9700 m/s. What will be the speed and angle of the second piece? Scientists estimate that as long as the angle is greater than 15° we're all gonna be alright! Note: This is a totally ridiculous scenario, but the movie made a lot of money and had a lot of famous people in it. Typical Hollywood, right? Note 2: I made up the numbers, but they're close to what the movie describes. m/2,v2 0 m/2, v1 m, vi

Please answer in 30 min. I will upvote.