Answer:
10 m/s
Explanation:
Energy is conserved, so the total potential and kinetic energy of the system equals the final potential and kinetic energy. Assuming the system is horizontal, we can ignore changes in height of the block. And at x = 0, the final elastic potential energy of the spring is zero. Therefore, we can say:
E₀ = E
EE₀ + KE₀ = KE
Kinetic energy is half the mass times the square of the velocity.
EE₀ + KE₀ = ½ mv²
Plug in values:
2 J + 3 J = ½ (0.100 kg) v²
v = 10 m/s
