Total Energy Change Calculation in Stamping Machine

What is the total energy change of the hammerhead in a stamping machine?

The change in total energy of the hammerhead is 31004.825 J.

To calculate the change in total energy of the hammerhead in a stamping machine, we need to apply the Principle of Energy Conservation and Work-Energy Theorem. The total energy change is determined by the difference between the final kinetic energy and the initial potential energy of the hammerhead.

Calculation:

Change in Total Energy of the Hammerhead, ΔE_ham = K_B - U_g,A

ΔE_ham = (1/2) * m_ham * v_B² - m_ham * g * h_A

ΔE_ham = m_ham * ((1/2) * v_B² - g * h_A)

ΔE_ham = (25 kg) * [(1/2) * (50 m/s)² - (9.807 m/s²) * (1 m)]

ΔE_ham = 31004.825 J

Therefore, the total energy change of the hammerhead in the stamping machine is 31004.825 Joules.