Determine the kinetic energy K of the system assuming that the axle passes through the CM of the system. K =, Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining
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- The ball launcher A large ball with mass mA =5kg falls from a height ℎ=2m into the scoop of a straight balance beam with a length of L=4.5m and mass mB=10kg (see diagram). A small ball with mass mC=1.4kg is located in a second scoop at the other end of the balance beam. The balance beam, at rest, makes an angle α=45∘ relative to the horizontal. After the impact of the large ball on the scoop, it remains there, and the balance beam starts to rotate. When the balance beam is horizontally aligned, a rod momentarily blocks the balance beam, and the small ball is expelled from its scoop. What will be the maximum height reached by the small ball after being expelled from its scoop relative to the horizontal position of the balance beam? (Consider the balls as point masses.)A 85.0 kg hoop rolls along a horizontal floor so that its center of mass has a speed of 0.110 m/s. How much work must be done on the hoop to stop it? Number 1.03 Units eTextbook and Media Hint Save for Later Attempts: 2 of 5 used Submit AnswerIn (Figure 1), take m = 3.2 kg and mp = 4.6 kg. Figure 5 m 4 m 8 m/s 3 5 4 m 1.5 m MAA 0 1 2 m ↓ 4 m m MB B 30⁰
- A satellite of mass M moves in a circular orbit of radius R at a constant speed v. Which of the I. The net force on the satellite is equal to Mv/R and is directed toward the center of the orbit. II. The net work done on the satellite by gravity in a half of a revolution is zero. III. The angular momentum of the satellite is a constant. following must be true? a. Il only b. I, II, and II c. I and III only o d. Il and III only O e. l onlyQUESTION 7 What is the total kinetic energy of a bowling ball of mass, m, and radius, R, that is rolling in a straight line with a center-of-mass velocity, vcm: without slipping on a level bowling lane? Assume that the bowling ball is a uniform, solid sphere. (Neglect rolling friction.) a. 7m| v ст 10 ("m)² b. m V ст 2 c. Sm(v cm)² ст 3m v ст 4 е. 2m v ст 3 2. 6The object shown in Figure 8-72 is made from two solid disks: m1=23kg, m2 = 39kg, r1 = 17cm, and r2=33cm. The disks are connected by a thin rod of mass M = 11.0 kg and length L = 67.0 cm. The object is held in a horizontal position and then let go. The object is free to rotate about a pivot through the centre of mass of the larger disk. Find the speed of the centre of mass of the smaller disk when it has swung 90° from its original position.
- A disk of M = 5kg, radius R = 3m is rotating %3D %3D counterclockwise about its center with an angular speed of wi = 3rad/s. 1m and mass 2 kg is %3D a) A thin hoop of radius R dropped on the disk so that it lands on the disk's surface and they share a center the angular speed of the pair %D after the collision? b) find the angular speed of the system if the hoop lands by the edge of the disk, so that the edge of the hoop is 0.5 m away from the center of the disk Overhead view a) b) 0.5mA hollow cylinder and solid cylinder, with the same radius, are placed at the top of an incline and released at the same time from rest. Which one reaches the bottom first? The hollow cylinder. It depends on their masses. The solid cylinder. They reach the bottom at the same timeA gymnast with a mass of 55 kg flipped in the air and achieved a maximum angular velocity of 445 degrees/sec just before landing from the flip. a) What is the magnitude of the angular impulse in kg*m2/s exerted by the floor on the gymnast when they stuck the landing and came to a complete stop, if they had a radius of gyration of 0.75 meters throughout the landing and their initial angular velocity just as they hit the floor was equal to the maximum angular velocity of 445 degrees/sec?
- You are advising a fellow student who wants to learn to perform multiple flips on the trampoline. You have him bounce vertically as high as he can, keeping his body perfectly straight and vertical. You determine that he can raise his center of mass by a distance of h = 6.00 m above its level when he initiates the jump. He can do a single flip by bouncing gently, throwing his arms forward over his head, and tucking his body. You use your smartphone to make a video of him doing a single flip. Based on analysis of this video, you determine that his moment of inertia is Istraight = 26.7 kg . m2 when his body is straight and Ituck = 5.62 kg . m2 in the tuck position. You suggest that he keep his body in the straight position for Δt, = 0.400 s after leaving the trampoline surface and then immediately go into a tuckposition. As he lands, he should straighten his body out Δt, = 0.400 s before he lands. From analysis of the video recording, you determine that throwing his arms forward causes…A 3.0 kg cylinder falls from rest through a distance of 6.0 m in an evacuated tube near the surface of the earth. What is its spee after the cylinder has fallen the 6.0 m distance?A potter's wheel is rotating around a vertical axis through its center at a frequency of 1.8 rev/s . The wheel can be considered a uniform disk of mass 5.0 kg and diameter 0.34 m The potter then throws a 2.6-kg chunk of clay, approximately shaped as a flat disk of radius 7.0 cm, onto the center of the rotating wheel. - What is the frequency of the wheel after the clay sticks to it? Ignore friction