Answer:give me points
Step-by-step explanation:
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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](https://tex.z-dn.net/?f=F%3D%20ke)
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=
= ![0.15m](https://tex.z-dn.net/?f=0.15m)
we can solve for the spring constant k
we also know that the force F = mg
assuming ![g=9.81m/s^{2}](https://tex.z-dn.net/?f=g%3D9.81m%2Fs%5E%7B2%7D)
therefore
![24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\](https://tex.z-dn.net/?f=24%2A9.81%3Dk%2A0.15%5C%5C235.44%3Dk%2A0.15%5C%5Ck%3D%5Cfrac%7B235.44%7D%7B0.15%7D%20%5C%5Ck%3D1569.6N%2Fm%5C%5C)
We can use this value of k to solve for the mass that will cause an extension of ![10cm= 0.1m](https://tex.z-dn.net/?f=10cm%3D%200.1m)
![x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg](https://tex.z-dn.net/?f=x%2A9.81%3D1569.6%2A0.1%5C%5C%5C%5Cx%3D%20%5Cfrac%7B156.96%7D%7B9.81%7D%20%5C%5C%5Cx%3D%2016kg)
Answer:
Without math, how would we know how to count seconds minutes, etc.?
Math is extremely important for knowing how to do simple things like cooking, you need to know for how much time to put something in the oven or microwave or stove. Those are just the basics. There is a lot more stuff out there that math is used for.
Answer: <em>1/10</em>
Step-by-step explanation: These two events are independent, meaning the outcome of the first event doesn't affect the outcome of the second.
To find the probability of independent events, first, find the
probability of each event, then multiplies the probabilities.
The probability of spinning an A on the first spinner is 1/5
since there is 1 favorable outcome and 5 total outcomes.
The probability of spinning an odd number on the second spinner
is 3/6 which simplifies to 1/2 since there are 3 favorable outcomes,
spinning a 1, 3, or another 3 since these are odd numbers.
So now we have 1/5 × 1/2 and when multiplying fractions,
we multiply across the numerators and denominators to get 1/10.
So the probability of spinning an A, then an odd number is 1/10.
Answer:
Step-by-step explanation:
A= 10(9+4)/2 = 130/2 = 65