Deriving the minimum velocity needed to leave a planet's gravitational pull.
nCpdT=nCvdT+nRdTn cap C sub p d cap T equals n cap C sub v d cap T plus n cap R d cap T Dividing by
P+12ρv2+ρgh=Constantcap P plus one-half rho v squared plus rho g h equals Constant Unit 7: Thermodynamics & Oscillations 1. Velocity of Sound (Laplace’s Correction) Newton assumed sound travel is isothermal ( ). This gave all important derivations of physics class 11 pdf download
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0=(usinθ)2−2gH⟹H=u2sin2θ2g0 equals open paren u sine theta close paren squared minus 2 g cap H ⟹ cap H equals the fraction with numerator u squared sine squared theta and denominator 2 g end-fraction Horizontal Range ( Deriving the minimum velocity needed to leave a
When an object is thrown near the Earth's surface at an angle to the horizontal with velocity , it follows a parabolic trajectory. (remains constant) Vertical velocity component: (affected by gravity −gnegative g Trajectory Equation: Horizontal distance: Vertical distance: Substitute into the vertical equation:
Because the derivative is zero, the total momentum remains constant: pA+pB=Constantp sub cap A plus p sub cap B equals Constant 2. Banking of Roads This gave To study offline, use this outline
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Resolving forces horizontally (providing centripetal force):
: Summarized notes with derivations for quick revision. Important Derivations for Class 11 Physics | PDF - Scribd
When a capillary tube is dipped into a liquid that wets its walls, the liquid rises in the tube due to surface tension. = radius of the capillary tube = height of the liquid column = surface tension of the liquid = contact angle = density of the liquid