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... be the mechanical energy. m be the mass, g be the acceleration due to gravity,

**v**be the upward speed, h be the height.**M**=**K**+ P and is constant. (**a**)**K**= mv^2 / 2 = 0.300 * 10^2 / 2 = 15...1 Answers · Science & Mathematics · 19/12/2009

...and since: k = a <=>

**a**=**k**m = a+b <=> b =**m**-**k**we have that span{u ,**v**} is a subset of span {x,**v**} and vice versa. Therefore span {x ,**v**...2 Answers · Science & Mathematics · 04/01/2013

...39;s second law, we can write: M*

**a**= -**k*****v**- M*g where M is the mass of the...dt = -(k/M)***v**- g dv/dt = -(k/M)*(**v**+ g***M**/**k**) This is a separable equation: dv/(**v**+ g...1 Answers · Science & Mathematics · 18/02/2011

...ω = √(k/m) and the equation of the motion is y = - Acos(√(k/m)*t)

**v**=**A***√(**k**/m)*sin(√(k/m)*t) a =**A***(**k**/m)*cos(√(k/m)*t) and F...2 Answers · Science & Mathematics · 20/09/2011

...the sequence of functions (f_n) is uniformly bounded by k in

**V**. So, any**M**≥**k**satisfies in**V**the condition required by the theorem. ...2 Answers · Science & Mathematics · 17/12/2009

.../x = 7.10/0.03 = 237 N/m b) T = 2π√(

**m**/**k**) = 2π√(0.8/237) = 0.365 s f = 1/T = 1/0.365...237(0.05)^2]/2 = 0.296 J d) A = 0.05 m e)**v**= ωA = 17.2(0.05) = 0.860 m/s a = (kA...1 Answers · Science & Mathematics · 30/11/2007

see the Pearson's chi square test

1 Answers · Science & Mathematics · 16/03/2010

...a = -A ω² sin(ωt + φ) = - ω² x A = 20 cm = 0.2

**m****k**= 16 N/m**v**_max = 40 cm/s = 0.4 m/s According to Hooke's law: F...1 Answers · Science & Mathematics · 18/07/2009

...5 rad/s ω^2=5.28x10^-9 rad^2/s^2 M=5.97x10^24 kg R=6.37x10^6

**m****K**=5.12x10^29 J b) mv^2/R=mMG/R^2**v**^2=MG/R K=1/2mv^2 K=1/2mMG/R ...2 Answers · Science & Mathematics · 19/04/2013

...period of the spring, which is still T = 2π√(

**m**/**k**) It does move the equilibrium position off of x...) + mg/k Taking the derivative of the position,**v**(t) = -**A**√(**k**/m) cos(√(k/m) t + B) ...1 Answers · Science & Mathematics · 11/12/2012

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