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UkoKoshka [18]
3 years ago
5

Please help right now??

Mathematics
2 answers:
makvit [3.9K]3 years ago
8 0
The picture is blank bsnsbsbsbdbbdbshd
timurjin [86]3 years ago
5 0
The picture is black HAHAH
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If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
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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

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= \frac{15}{100}= 0.15m

we can solve for the spring constant k

we also know that the force F = mg

assuming g=9.81m/s^{2}

therefore

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

We can use this value of k to solve for the mass that will cause an extension of  10cm= 0.1m

x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg

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