Answer :

According to the information we can infer that the mass of the hammer is approximately 204.1 kg.

How to determine the mass of the hammer?

To determine the mass of the hammer, we can use the equation for gravitational potential energy (PE) and kinetic energy (KE). The potential energy at the top of the drop is converted into kinetic energy at the bottom. The equation is as follows:

  • PE = mgh
  • KE = 0.5 * mv²

Given that the hammer's kinetic energy after dropping is 20000 J and it drops from a height of 8 m, we can equate the potential energy to the kinetic energy:

  • mgh = 0.5 * mv²

Simplifying the equation, we can cancel out the mass (m) from both sides:

  • gh = 0.5v²

Now, we need to determine the velocity (v). Using the equation for gravitational potential energy, we can calculate it:

  • PE = mgh
  • 20000 J = m * 9.8 m/s² * 8 m

Solving for m, we have:

  • m = 20000 J / (9.8 m/s² * 8 m)
  • m ≈ 255.1 kg

According to the above we can infer that the mass of the hammer is approximately 204.1 kg.

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