Circular MotionA 1 Kg bead is confined to move on a vertical circle of radius 2 meters. There is nofriction between the bead and the circular track. The bead has a speed of 10 m/swhen at the top of the circle at point "A", and the total mechanical energy of thebead is assumed to be constant as it moves around the circle.Assume it takes the bead 0.62 seconds to go counter-clockwise from point "A" topoint "B" each cycle.10 m/s2 m1Note: vector directions should be given as the "standard" angle with0 <0 < 360 degreesPrevious30°60Calculate the magnitude of the velocity (m/s) of the bead at point "B".Calculate the direction of the velocity of the bead at point "B". Enter the standardangle in degrees.Calculate the magnitude of the average velocity (m/s) from "A" to "B" (based on the0.62 seconds mentioned in the description).Calculate the direction of the average velocity from point "A" to "B" (based on the0.62 seconds mentioned in the description).. Enter the standard angle in degrees.Calculate the average speed (m/s) from "A" to "B" (based on the 0.62 secondsmentioned in the description).

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Circular Motion A 1 Kg bead is confined to move on a vertical circle of radius 2 meters. There is no friction between the bead and the circular track. The bead has a speed of 10 m/s when at the top of the circle at point "A", and the total mechanical energy of the bead is assumed to be constant as it moves around the circle. Assume it takes the bead 0.62 seconds to go counter-clockwise from point "A" to point "B" each cycle. 10 m/s 2 m Previous A 30° Note: vector directions should be given as the "standard" angle with 0 ≤0 < 360 degrees Calculate the direction of the velocity of the bead at point "B". Enter the standard angle in degrees.
An object with mass 2 kg moves from a location m near the Earth's surface to location m. What is the change in the potential energy of the system consisting of the object plus the Earth? (Assume that the +y axis points vertically up from the ground.) i
2. An ocean diver swims upwards against the drag force exerted by the water. This force varies in magnitude by depth (d) and is given by F(d)=√d, where y=100 N/m ¹/2. If the diver ascends from a depth of d=10m to the surface (d=0), what is the work done by this drag force? Why is this work negative?
Circular Motion A 1 Kg bead is confined to move on a vertical circle of radius 2 meters. There is no friction between the bead and the circular track. The bead has a speed of 10 m/s when at the top of the circle at point "A", and the total mechanical energy of the bead is assumed to be constant as it moves around the circle. Assume it takes the bead 0.62 seconds to go counter-clockwise from point "A" to point "B" each cycle. 10 m/s 2 m 30° Note: vector directions should be given as the "standard" angle with 0≤0 < 360 degrees Calculate the average speed (m/s) from "A" to "B" (based on the 0.62 seconds mentioned in the description).
c) Eddy and his skateboard with mass a of 65 kg ride on a rough horizontal road as shown in Figure 3. At the bottom of an incline, his velocity is 4 m s1. He rides up the incline and reaches the top with a velocity of 1 m s. The difference in height between the top and the bottom of the incline is 0.6 m. 1 m/s 4 m/s 0.6 m Figure 3 Calculate: i. the total energy of Eddy before he rides on the inclined plane, ii. the total energy of Eddy after the rode up the inclined plane, and ii. the net energy loss due to the friction on the inclined plane. (5 marks)
A spherically symmetric ball of mass m and radius R is centered at the origin. A thin rod has a mass M uniformly distributed along its length L and lies along the x-axis as shown in the figure below. Determine the gravitational potential energy of the system if U = 0 at x = ∞. y L M т
A box of 9kg is released from rest on a rough inclined plane and slides to the bottom. The plane is inclined at a 230 angle to the horizontal and it is 5.1 m high. The coefficient of kinetic friction between the box and the plane is 0.1. Use conservation of energy to determine the speed of the block as it reaches the bottom.
2 W S X In a hydroelectric dam, water falls 35 m and then spins a turbine to generate electricity. 3 E D 80 C $ 4 R 888 F V 96 5 T G ^ 6 B ▾ Part A What is AU of 1.0 kg of water? Express your answer with the appropriate units. View Available Hint(s) AU= -340 J Y Submit ▾ Part B ✓ Correct SOLVE: The change in the potential energy of 1.0 kg of water in falling 35 m m is H Suppose the dam is 80% efficient at converting the water's potential energy to electrical energy. How many kilograms of water must pass through the turbines each second to generate 48 MW of electricity? This is a typical value for a small hydroelectric dam. Express your answer in kilograms per second. ▸ View Available Hint(s) m 11s AU, -mgh=-(1.0 kg) (9.8 m/s²) (35 m) = -340 J = = Provide Feedback Submit MacBook Air Previous Answers & 7 N IG] ΑΣΦ | 3-4 U * 8 D-H I M @ JK ( 9 MOSISO DD O I भ ? O L kg/s command F10 P > ; C option + ? T I Next > delete re
1 2 -D- A block of mass M is released from rest at point 1, as shown in the figure. The block slides without frictional forces along the circular arc but encounters frictional forces as soon as it reaches the horizontal portion of the track at point 2. The block travels a distance D along the horizontal track before coming to rest at point 3. Consider the block-Earth system. In terms of the mechanical energy of the system, which of the following claims is correct, and why? A The system is open, because there is a net force exerted on the block. The system is open, because the block's velocity is zero at points 1 and 3. The system is closed, because there is a net force exerted on the block. D The system is closed, because the block's velocity is zero at points 1 and 3.
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