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clwww.webassign.net/web/Student/Assignment.Responses/submit2depe 1 7154230 -) According to our records you have not yet redeemed an access code for this class or purchased access online. The grace peniod will that date you will no longer be able to see your WebAssign assignme nts or grades Get access now 5. O Question Details S P8 13 P.008 A spring-loaded pellet gun is designed to fire 2.50 g projectiles horizontally at a speed of 39.6 m/s (a) If the spring is compressed to its maximum design difference of 6.60 cm, what spring constant is required? N/m (b) What maximum force is required to load the gun? Show My Work (Optional nt Save

Explanation / Answer

Here we make use of Conservation of energy, that is potential energy stored in the spring = kinetic energy of the projectile initially

Let k is the spring constant and x be the compression, then the potential energy stored in a spring is
1/2 kx².

if m is the mass of the projectile and its speed is v, then its kinetic energy is

1/2 mv².

So we have 1/2 kx² = 1/2 mv²
kx² = mv², so k = mv²/x²
= (0.00250 kg)(39.6 m/s)²/(0.0660 m)² = 900 N/m.

b)

From Hooke's Law: F = kx
= (900N/m)(0.0660 m)
= 59.4 N.

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