http://imgur.com/a/WcK4k please solve try a different browser if the link doesn\

Question

http://imgur.com/a/WcK4k

please solve

try a different browser if the link doesn't work. It works for me on chrome.

A Red Rider bb gun uses the energy in a compressed spring to provide the kinetic energy for propelling a small pellet of mass 0.21 grams. By cocking the lever attached to the stock of the rifle, the spring (k = 1800 N/m) is compressed 10 cm from its equilibrium point. What is the potential energy energy stored in the compressed spring? What is the kinetic energy of the pellet when the spring is released? What is the muzzle velocity of the bb? If the rifle was modified so that the spring could be compressed twice as far, 20 cm, what would be the resultant muzzle velocity of the bb?

Explanation / Answer

According to the given problem,

1.) As its compressed 10cm and k = 1800N/m,

S.P.E = 1/2kx2 = 0.5*1800*0.12 = 9J[D]

2.) Using conservation of energy principal,

S.P.E = K.E = 9J [B]

3.) Using the conservation of energy principal,

S.P.E = K.E = 9J

1/2mv2 = 9J

v = 292.77 [C]

4.) Similarly,

S.P.E = K.E

1/2 k x2 = 1/2 mV2

V2 = kx2/m

V = 585.54 [C]

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