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m = 3kg ; 7kg u = 5ms^-1 ; -2ms^-1 (Taking the direction to the right as positive). momentum before = m1u1 + m2u2 = (3x5) + (7x-2) = 1 momentum after = (m1+m2)v2 = (3+7)v = 10v By the principle of conservati...

Musical 'modes' are basically a set of tonalities deriving from a normal natural major scale. With C major, for example, it seems obvious that one should begin and end on C: C-D-E-F-G-A-B-C. But what if we u...

Using the product rule we know that dy/dx = uv' + vu' where u = 3x^3; v = e^x. e^x differentiates to itself multiplied by any number in front of the x. u' = 9x^2; v' = e^x. Therefore dy/dx = 3x^3e^x + 9x^2e^...

Reagan's remarkable success resulted from Jimmy Carter's poor record and economic malaise, Reagan's personal charisma and a growing tide of conservatism in America. The 1980 election came after the bleak 197...

The angle at which this takes place is called the critical angle. We can apply Snell's law in this situation: n 1 sin C1 = n 2 sin (90deg) sin C = n 2 / n 1 If the second medium is air, then n 2 ~1, so sin C...