A block whose mass is 1 kg is fastened to a spring.The spring has a spring constant `50Nm^(-1)`. The block is pulled to a distance `x=10cm` from its equilibrium position at `x=0` on a frictionless surface at `t=0`. Calculate the kinetic, potential and total energies of the block when it is 5cm away from the mean position.

Explanation

To solve the problem step by step, we will calculate the kinetic energy, potential energy, and total energy of the block when it is 5 cm away from the mean position.

### Step 1: Identify Given Values
- Mass of the block, \( m = 1 \, \text{kg} \)
- Spring constant, \( k = 50 \, \text{N/m} \)
- Initial displacement (amplitude), \( A = 10 \, \text{cm} = 0.1 \, \text{m} \)
- Displacement at the time of interest, \( x = 5 \, \text{cm} = 0.05 \, \text{m} \)

...