Figure 6-8 shows a bead sliding on a wire. How large must height $h_{1}$ be if the bead, starting at rest at $A$, is to have a speed of $200 \mathrm{~cm} / \mathrm{s}$ at point $B ?$ Ignore friction.
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In Fig. 6-8, $h_{1}=200 \mathrm{~cm}, h_{2}=150 \mathrm{~cm}$, and at $A$ the $3.00$ -g bead has a downward speed along the wire of $800 \mathrm{~cm} / \mathrm{s}$. (a) How fast is the bead moving as it passes point- $B$ if friction is negligible? (b) How much energy did the bead lose to friction work if it rises to a height of $20.0 \mathrm{~cm}$ above $C$ after it leaves the wire?
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