Logan is standing on a dock holding onto a rope swing that is L = 3.50 m long and suspended from a tree branch above. The rope is taut and makes a 30.0∘ angle with the vertical. Logan swings in a circular arc, passing through the bottom of the arc then releasing the rope when it makes an angle of θ = 11.9∘ with the perpendicular. If Logan's mass is 79.0 kg, how much work Wgrav does gravity do on him up to the point where he releases the rope? Wgrav = J
You'll get a detailed, step-by-step and expert verified solution.
Correct & Verified Answers
No AI-Generated Answers
Video Solution for Difficult Questions
Work With Experts to Reach at Correct Answers![Your young sibling is on a swing set, hanging vertically initially at rest. The combined mass of the swing and your sibling is 49 kg, and the light ropes are 2.51 m long. You push your sibling with an applied external force that is always tangent to the circular path, but that varies in magnitude as a function of angle θ in radians measured from the vertical as Ft(θ) = 364⋅(1 − θ) Newtons. Use g = 9.81 m/s2. In moving the swing from θ1 = 0 to θ2 = 0.49 radians = 28.07 degrees with the vertical, what is. . . a) [2]. . . the work done by you? WF = J b) [2]. . . the work done by gravity? Wgrav = J c) [2]. . . your sibling's speed? v = m/s](https://www.doubtrix.com/uploads/editor/4252729143QJBcqLabuf.png)
