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boyakko [2]
3 years ago
8

An artist is creating a gigantic mobile using old cars. On one end of the mobile, a 2100 lb Plymoth is suspended 30 feet from th

e fulcrum. In order for the mobile to be balanced, where should the artist suspend a 1400 lb Volkswagon?
a
20 feet from the fulcrum

b
7 feet from the fulcrum

c
45 feet from the fulcrum

d
on the fulcrum
Engineering
2 answers:
ozzi3 years ago
7 0

Answer:

  c  45 feet from the fulcrum

Explanation:

The moment at the fulcrum must be the same for each car. If the distance is d, then the artist must have ...

  (2100 lb)(30 ft) = (1400 lb)(d)

  2100·30/1400 ft = d = 45 ft

The Volkswagen should be 45 ft from the fulcrum.

Tresset [83]3 years ago
6 0

Answer:

<h2> C. <u>4</u><u>5</u><u> </u><u>feet</u><u> </u><u>from</u><u> </u><u>the</u><u> </u><u>fulcrum</u></h2>

  • <em>That</em><em> </em><em>artist</em><em> </em><em>should</em><em> </em><em>suspend</em><em> </em><em>a</em><em> </em><em>1</em><em>4</em><em>0</em><em>0</em><em> </em><em>lb</em><em>/</em><em>pounds</em><em> </em><em>Volkswagen</em><em>.</em>
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\dot Q = \dot m_{h}\cdot c_{p,h}\cdot (T_{h,in}-T_{h,out})

T_{h,out} = T_{h,in} - \frac{\dot Q}{\dot m_{h}\cdot c_{p,h}}

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T_{h,out} = 96.719^{\textdegree}C

The log mean temperature difference is determined herein:

\Delta T_{lm} = \frac{(T_{h,in}-T_{c, out})-(T_{h,out}-T_{c,in})}{\ln\frac{T_{h,in}-T_{c, out}}{T_{h,out}-T_{c,in}} }

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