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(6 points) A cart of mass m is released at initial speed vo moving horizontally in a viscous liquid medium. The medium provides a linear
(6 points) A cart of mass m is released at initial speed vo moving horizontally in a viscous liquid medium. The medium provides a linear drag force of the form Farag = -bu. The other student's answer, after some work, is circled as: u(t) = voet/m (16) Carry out at least two checks of units and limits on this answer. If any of your checks find that something is wrong, do you have a suggestion as to what a possible fix might be, or where to look more closely? (6 points) Another problem involves finding the force from a potential energy function of the form U(r, y, z). After some algebra, the other student's answer for the force is: F(x, y, z) = cry (17) where c = 4.9/s2. Once again, carry out at least two checks, and then make some sugges tions about what the fixes might be for any checks that fail (without ever having seen the problem!) (8 points) Finally, a gravity problem: you are asked to find the gravitational potential due to a thin ring-shaped platform, with inner radius R and outer radius 2R. (The platform has a hole in the middle - ring, not disc!) The platform has uniform mass density o, and you are asked for the potential energy on the z-axis above the central axis through the ring. The other student's final answer is written as: D(2) =-2nGo(VAR2 + 22 + VR2 + 2?) (19) One more time, carry out two different checks of units and limits. For any check that fails, suggest what might have gone wrong/where to look more closely
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