In: Physics
You are exploring a new planet, Uzaz. You have a string 1.2 m long, and a small object. You suspend the object from the string, and you observe that small-amplitude pendulum swings have a period of 1.987 s. You have determined the radius of Uzaz is 7.2 × 106 m. You then launch the object at an angle θ above the horizontal from shoulder-height (1.40 m) with a velocity of 30 m/s; it hits the ground 60.36 m from you. Assume the ground is level and ignore atmospheric resistance.
(a) (5 points) Determine the mass of planet Uzaz.
(b) (4 points) Determine all possible angles θ above the horizontal at which you could have launched the object.
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