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1 1e Date:S312018T9:00 PM End Date: 3/3/2018 I1:59:00 PM (5%) Problern 15. A 23-

ID: 1582403 • Letter: 1

Question

1 1e Date:S312018T9:00 PM End Date: 3/3/2018 I1:59:00 PM (5%) Problern 15. A 23-kg child starts from rest and slides down a slide that is 2.3 m high. At the bottom of the slide, the child is moving 2.4 m/s. Randomized Variables m 23 kg h= 2.3 m 2.4 m. How much work, in joules, was done by the nonconservative force of friction on the child? Grade Summary Deductions 0% Potential- 100% Submissions Attempts remaining: 12 (5% per attempt) detailed view tan() | | ( cos) cotan sinacos atan acotan sinh cosh0 tanh cotanhO sin) eted eted leted leted leted 0 nal Degrees Radians pleted I give up Subrnit Hint pleted pleted Feedback: 2% deduction per feedback Hints: 200 deduction per hint. Hints remaining: 2 pleted npleted mpleted mpleted mpleted

Explanation / Answer

Given , m = 23 kg , h = 2.3 m , v = 2.4 m/s

Using conservation of energy , energy lost in the system is due to non conservative force which is friction (Wf) acting on child

So

Wf = mgh - (1/2)mv^2

Wf = (23*9.8*2.3) - (1/2)*23*2.4^2

Wf = 452.18 J

Thus , work done by friction is 452.18 J