An empty barrel with a diameter of 1 meter is revolved about its center. Suppose a 1 kg trout is thrown into the barrel. How many revolutions per second must the barrel revolve at so that the trout slides down the interior of the barrel at constant speed if the coefficient of kinetic friction between the trout and barrel is μk = 0.1? 1 m
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- A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1 b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.An air puck of mass 0.17 kg is tied to a string and allowed to revolve in a circle of radius 1.4 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of 0.8 kg is tied to it (Fig. P7.25). The suspended mass remains in equilibrium while the puck on the tabletop revolves. Figure P7.25 (a) What is the tension in the string? N(b) What is the force causing the centripetal acceleration on the puck? N(c) What is the speed of the puck? m/s0.1/1E: In the figure, two blocks, of mass m1 = 257 g and m2 = 337 g, are connected by a massless cord that-is wrapped around a uniform disk of mass M = 492 g and radius R = 10.1 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the tension T in the cord at the left and (c) the tension T2 in the cord at the right. %3D %3! R. (a) Number i Units m/s^2 (b) Number i Units (c) Number Units eTextbook and Media 898 MAY 1 PDF 8 tv .. DD 80 000 000 888 F9 F10 F11 F6 F7 FB F2 F3 F4 F5 @ 23 2$ & 2 3 4 7 8 9
- A can full of soda (total mass is about 375 g, where 355 g comes from the liquid and 20 g from the aluminum can, radius is about 33 mm) is released on a slope. The slope has an angle of 30° of inclination and a length of 40 cm. Due to friction, the can roll over the slope without slipping. Determine the time it takes for the can to reach the bottom of the slope.Repeat the calculation for the empty can (m = 20 g and R = 33 mm). Note: In both cases, ignore the contribution from the top and bottom metallicparts of the can (disks) to the moment of inertia.A skateboarder is attempting to make a circular arc of radius r = 19 m in a parking lot. The total mass of the skateboard and skateboarder is m = 87 kg. The coefficient of static friction between the surface of the parking lot and the wheels of the skateboard is us= 0.68 . 1)What is the maximum speed, he can travel through the arc without slipping? 2)He speeds up very slightly and begins to slide. The coefficient of kinetic friction is uk = 0.13. What is the new magnitude, of his radial acceleration?Two identical twins hold on to a rope, one at each end, on a smooth, frictionless ice surface. They skate in a circle about the center of the rope (the center of mass of the two-body system) and perpendicular to the ice. The mass of each twin is 78.0 kg. The rope of negligible mass is 3.5 m long and they move at a speed of 5.40 m/s. a)What is the magnitude, in kg · m2/s, of the angular momentum of the system comprised of the two twins? (b)They now pull on the rope and move closer to each other so that the rope between them is now half as long. Determine the speed, in m/s, with which they move now. (c)The two twins have to do work in order to move closer to each other. How much work, in joules, did they do?