A block with mass 100g has a kinetic energy of 3J and the spring has an elastic potential energy of 2 J when the block is at x=2cm. What is the speed of the block when it is at x=0?

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

A block with mass 100g has a kinetic energy of 3J and the spring has an elastic potential energy of 2 J when the block is at x=2cm. What is the speed of the block when it is at x=0?​

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A block with mass 100g has a kinetic energy of 3J and the spring has an elastic potential energy of 2 J when the block is at x=2cm. What is the speed of the block when it is at x=0?