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Explain the difference between forced vibration and resonance in an oscillating object.

Forced vibration: The object oscillating will vibrate upwards and downwards with the s ame frequency the driving oscillation is at. The amplitude of the vibration increases as the frequency decreases and the...
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Answered by Matthew P. • Physics tutor
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Why is a diamond harder than graphite if they're made of the same substance?

Both diamond and graphite are made of carbon. Carbon can form a maximum of 4 covalent bonds due to carbon having 4 electrons on it's outer shell. In diamond, each carbon atom forms 4 covalent bonds in a tetr...
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How can an object be accelerating if it does not change in speed?

Speed is a scalar quantity, meaning that it only has a magnitude. Acceleration is a vector quantity, meaning that it has a magnitude and a direction. Velocity is the vector quantity equivalent of speed, as i...
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Answered by Chantelle C. • Physics tutor
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Convert the decimal number 165 to binary

we can use the subtraction method to find this out: create a table set out like this 2 7 | 2 6 | 2 5 | 2 4 | 2 3 | 2 2 | 2 1 | 2 0 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 | | | | | | | Now we simply take away eac...
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find general solution to: x(dy/dx) + 2y = 4x^2

Divide through by x so: (dy/dx) +2(y/x) = 4x Now multiply through by the intergrating factor: e^(| (2/x) dx) = e^(2.ln(x)) = x^2 so you get: (x^2)(dy/dx) + 2xy = 4(x^3) Now integrate the entire equation and ...
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