The Total Change in Energy of the Hammerhead in a Stamping Machine

What is the total change in energy of the hammerhead as it moves vertically down in a stamping machine?

Given data: a piston moves a 25kg hammerhead vertically down 1m from rest to a velocity of 50m/s in a stamping machine.

Answer

Total change in energy = 31 KJ

When analyzing the total change in energy of the hammerhead in a stamping machine, we need to consider the initial and final conditions. The initial potential energy is given by the equation: [tex]E_1 = mgh + \\dfrac{1}{2}mv^2[/tex]

Plugging in the values, we get: [tex]E_1 = 25 \\times 10 \\times 1 + 0[/tex] [tex]E_1 = 250 J[/tex]

The final kinetic energy is given by: [tex]E_2 = \\dfrac{1}{2} \\times 25 \\times 50^2[/tex] [tex]E_2 = 31250 J[/tex]

Therefore, the change in energy is calculated as: [tex]31250 - 250 = 31000 J[/tex]

Converting the total change in energy to Kilojoules, we get: 31 KJ