A 27.0 kg child on a 3.00 m long swing is released from rest when the ropesof th

Question

A 27.0 kg child on a 3.00 m long swing is released from rest when the ropesof the swing make an angle of 27.0° with the vertical. (a) Neglecting friction, find the child's speedat the lowest position.
1 m/s

(b) If the speed of the child at the lowest position is2.20 m/s, what is the mechanical energylost due to friction?
2 J (a) Neglecting friction, find the child's speedat the lowest position.
1 m/s

(b) If the speed of the child at the lowest position is2.20 m/s, what is the mechanical energylost due to friction?
2 J

Explanation / Answer

(a) Neglecting friction, find the child's speedat the lowest position.
1 m/s
v=r
and =g/l=9.8/3=1.807rad/sec
so v=velocity at the lowest position=3*1.807=5.422m/sec

(b) If the speed of the child at the lowest position is2.20 m/s, what is the mechanical energylost due to friction?
2 J

loss in mechanicalenergy=1/2*27(5.4222-2.202)=331.425J

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