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A 50-lb sphere A with a radius of 4.5 in. is moving with a velocity of magnitude v0 = 6 ft/s. Sphere A strikes a 4.6-lb sphere B that has a radius of 2 in., is hanging from an inextensible cord, and is initially at rest. Knowing that sphere B swings to a maximum height of h= 0.75 ft, determine the coefficient of restitution between the two spheres.
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- The proton is traveling at a constant speed of 5.5 × 105 m/s, and the radius of the kissing circle is 0.02 m. The mass of a proton is 1.7 × 10-27 kg. When the proton is at location A, what are the magnitude and direction (d|p→|/dt)(p^) of the parallel component of dp→/dt?Two smooth disks A and B each have a mass of 0.5 kg. Both disks are moving with the velocities shown when they collide. The coefficient restitution is e = 0.7. Suppose that (v₁)₁ = 6 m/s, (VB)₁ = 5 m/s. (Figure 1) Figure B / (VB) 1 (VA)₁ A 1 of 1 > Part A Determine the magnitude of the final velocity of A just after collision. Express your answer to three significant figures and include the appropriate units. (VA)2 = Submit Part B 0₁ = μA Submit Value Request Answer Determine the angle between the x axis and the final velocity of A just after the collision, measured counterclockwise from the positive x axis. Express your answer in degrees to three significant figures. 17| ΑΣΦ 41 | vec | Units Request Answer ? wwwwww P ? 0A 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.
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