Answer:
The spring constant required = 949.2 N/m
Explanation:
The energy stored in the spring is converted to kinetic energy of the projectiles fired.
Energy stored in spring's = kx²/2
Kinetic energy of bullets = mv²/2
k = spring constant = ?
x = maximum compression of the spring = 8 cm = 0.08 m
m = mass of projectiles fired = 3.0 g = 0.003 kg
v = velocity of projectiles fired = 45.0 m/s
kx² = mv²
k (0.08²) = 0.003 (45²) = 6.075
k = 949.2 N/m
The spring constant required = 949.2 N/m