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GrogVix [38]
3 years ago
12

1 milliliter of water has a mass of 1.00 grams. True or false?

Mathematics
1 answer:
ohaa [14]3 years ago
8 0
I’m pretty sure it’s false
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A 1 newton force will stretch a spring 1 meter. The spring/mass system is damped by a force that is 8 times the instantaneous ve
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Step-by-step explanation:

Given the mass is m =16kg, and 1N force will stretch the spring 1 m.

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solving we get, 16r² + 8r + 1 = 0 => (4r + 1)² = 0 => r = - 1/4.

Then the general solution for the homogenous system is: x(t)=c_1e^{-t/4} +c_2te^{-t\4}.

Use the initial conditions x (0) = -0.6, x'(0) = 2m/s:

x(0)=c_1e^{0} +c_2(0)e^{0}=-0.6=c_1\\x'(t)=-\frac{1}{4}c_1e^{-t/4}+c_2e^{-t/4}-\frac{1}{4}c_2te^{-t/4}\\x'(0)=-\frac{1}{4}c_1e^0+c_2e^0-\frac{1}{4}c_2(0)e^0=2=-\frac{1}{4}(-0.6)+c_2=c_2=1.85.

Hence, x(t) =-0.6e^{-t/4}+1.85te^{-t/4}.

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2 years ago
There is one fifth of a sandwich to share equally between 2 people. How much of the sandwich will each person get? Use the numbe
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