Answer to Question #191470 in Molecular Physics | Thermodynamics for Yotamu

Question #191470

a.      shows a bead sliding on a wire, How large must height h1 be if the bead, starting at rest A, is to have a velocity of 200cm/s at point B? Ignore friction



1
Expert's answer
2021-05-10T13:57:59-0400

When a bead has dropped a distance h it has lost potential energy = mgh, where m is the mass of the object, and g is the acceleration due to gravity, 9.8 m/s2m/s^2 . This potential energy will become kinetic energy 12mv2\frac{1}{2}mv^2 .

v=200  cm/s=2.00  m/sm×9.8×h=12m×2.02=m×4.002=m×2m×9.8×h=m×29.8×h=2h=29.8=0.204  m=20.4  cmv = 200 \;cm/s = 2.00 \;m/s \\ m \times 9.8 \times h = \frac{1}{2} m \times 2.0^2 = m \times \frac{4.00}{ 2} = m \times 2 \\ m \times 9.8 \times h = m \times 2 \\ 9.8 \times h = 2 \\ h = \frac{2}{9.8} = 0.204 \;m = 20.4 \;cm

Answer: 20.4 cm


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Comments

Mabvuto Moyo
20.05.21, 17:54

Thanks so much, helped very much "

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