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 blocak when it is 5cm away from the mean position.

Explanation

To solve the problem, we need to calculate the kinetic energy (KE), potential energy (PE), and total energy (TE) of a block attached to a spring when it is 5 cm away from the mean position. Here are the steps:

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

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