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A 0.453 kg bead can slide on a curved wire as seen in the figure. Assume h1 = 5.

ID: 2276118 • Letter: A

Question

A 0.453 kg bead can slide on a curved wire as seen in the figure.

Assume h1 = 5.82 m and h2 = 2.67 m. If the wire is frictionless and the bead is released with an initial speed of 1.73 m/s in the forward direction then find the speed of the bead at B.

If the wire is frictionless, find the speed of the bead at C.


i got 10.8 for the first answer please help

A 0.453 kg bead can slide on a curved wire as seen in the figure. Assume h1 = 5.82 m and h2 = 2.67 m. If the wire is frictionless and the bead is released with an initial speed of 1.73 m/s in the forward direction then find the speed of the bead at B. If the wire is frictionless, find the speed of the bead at C.

Explanation / Answer

by work energy theorem

a)

0.5*m*u^2 + m*g*h1 = 0.5*m*v^2

v^2 = u^2 + 2*g*h

= 1.73^2 + 2*9.8*5.82

v = 10.8m/s


b)

0.5*m*u^2 + m*g*(h1-h2) = 0.5*m*v^2

v^2 = u^2 + 2*g*(h1-h2)

= 1.73^2 + 2*9.8*(5.82 - 2.67)

=8.04m/s