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Answers by Dr Gulshan S.

To me it appears that stretching is from 30cm to 50 cm = 20 cm for a work or PE of 7 J so 1/2(K X 2) = 7 = 1/2 ( K * 0.2*0.2) should be used to the value of K = 350 N/m From here we can go to the second part of question

V = - AwSinwt = -5.3 Sin 21.5 t  If X = ACoswt  = A Cos 21.5 t where w= Angular velocity 21.5 rad/sec As Aw = -5.3  A = Amplitude =( 5.3 / 21.5 )m X = A at t = 0 X = (5.3/21.5) Cos (21.5*37.7) at 37.7 sec = 0.246 Cos ( 810.55)m Spring PE = 1/2 KX 2 Where...

Momentum of bullet = mass * velocity = 20* 10 - 3 *259  Momentum of Bullet plus wooden block = Total mass * Combined velocity ( 411 +20) * 10 -3 V Equating the Momentum before and after  Find the Value of V   Let X = compression of the spring The...

f(x)=3450/(2.5+0.60^x)   f '(x) = -3450(ln0.6* 0.6 ^x)) / (2.5 +0.60^x) ^2        = -3450( -0.5108 *0.6^x)/(2.5+0.60^x)^2 Sub x= 8  3450 (0.5108* 0.6 ^ 8)/ (2.5 +0.6 ^ 8) ^2 =3450(0.5198*0.016796)/ (2.5 + 0.016796)^2 =3450*8...

Hi  Let G = Number of green marbles and R= Number of red marbles G + R = 83 or G = 83 - R   G = 4R -7 Substituting  83 - R = 4R -7 83 +7 =5R R = 90/5 = 18 and G = 83 - 18 = 65   Number of green = 65

  Hi Madison Any audio system which is battery operated has chemical energy stored in its  battery. When we switch on this  audio device ( example mobile phone) the chemical energy of battery gets changed into electric energy to power the device ( mobile). Then mobile rings...

Trigonometry (answer)

Assuming the two starting at the same time from the same point ( Origin) First one has coordinates as (20,-24) Each one in Km and the second one has position as ( 32, -7) Now find the distance between two points   = Sqrt( ( X1-X2)2 +( Y1 -y2) 2  )

The first plan Let X = number of minutes used  The payable amount = 0.25 * X ( in $)  In Plan second  Payable amount  = 34.95 + X*0.12 For the two to be equal  X = 268.11 So cost for 269 calls in first plan = $ 67.25 and second plan = $ 67...