1. A 0.50 kg block oscillates on the end of a spring with a spring constant of 150N/m If the system has an energy of 8.01, then what is the amplitude of the oscillation?

## Step 1: The total energy of the system is given by the formula , where is the energy, is the spring constant, and is the amplitude.## Step 2:We can rearrange the formula to solve for the amplitude: .## Step 3:Substitute the given values into the formula: .## Step 4:Calculate the value inside the square root: .## Step 5:Take the square root of the result: m.