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IgorLugansk [536]
2 years ago
12

A boat can travel 40mph in still water. If it travels 126 miles with the current in the same length of time it travels 114 miles

against the current, what is the speed of the current?
no links please
Mathematics
1 answer:
Elena-2011 [213]2 years ago
8 0

Answer:

rate of the current = 2 mph

Step-by-step explanation:

d = rt

Let c = rate of the current

Rate going downstream = c + 40

Time going downstream = 126/(40 + c)

Rate going up stream =  40 - c

Time going upstream = 114/(40 - c)

Since the times are equal, then

126/(40 + c) = 114/(40 - c)

126(40 - c) = 114(40 + c)

5040 - 126c = 4560 + 114c

   240c  =  480

          c = 2 mph

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The use of air bags in cars reduces the force of impact by a factor of 110.(The resulting force is only as great.) What can be s
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If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

F= ke

where F is the applied force in N

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          e is the extension in meters

Given data

mass m= 24kg

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we can solve for the spring constant k

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therefore

24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\

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