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As shown on the figure, a bead of mass 23 g slides on an wire. The speed of the

ID: 1285609 • Letter: A

Question

As shown on the figure, a bead of mass 23 g slides on an wire. The speed of the bead at point A is 4 m/s. After travelling a distance of 250 cm from point A to point the C, the bead stops at point C. What is the average friction experience by the bead in travelling from point A to point C.

I am getting a very small # (.1) when I work out this problem. Can someone help me by writing out the formula so that I can make sure I am not making a mistake? Thanks in advance. I will choose best answer ASAP As shown on the figure, a bead of mass 23 g slides on an wire. The speed of the bead at point A is 4 m/s. After travelling a distance of 250 cm from point A to point the C, the bead stops at point C. What is the average friction experience by the bead in travelling from point A to point C.

Explanation / Answer

workdone by friction = chnage in kinetic energy

F_avg*d*cos(180) = 0.5*m*(v^2 - u^2)

here, v = 0

-F_avg*d = -0.5*m*u^2

Favg = 0.5*m*u^2/d

= 0.5*0.023*4^2/2.5

= 0.0736 N