A 140-N child is in a swing that is attached to ropes 2.20 m long. Find the grav

Question

A 140-N child is in a swing that is attached to ropes 2.20 m long. Find the gravitational potential energy associated with the child relative to her lowest position at the following times. (a) when the ropes are horizontal Correct: Your answer is correct. J (b) when the ropes make a 26.0° angle with the vertical Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. J (c) when the child is at the bottom of the circular arc Correct: Your answer is correct. J

Explanation / Answer

Potential energy=m=W*h=140*h

when the rope is horizontal h=length of rope=2.2m------->P.E=140*2.2=308J
When the rope is 26 degrees h=2.2*(1-cos(26))=0.223m---->P.E=140*0.223=31.2J

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