Work done by the hammer in a single stroke?

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SUMMARY

The discussion centers on calculating the energy delivered by a 10kg hammer striking a 9-inch nail. The hammer, raised to a height of 1 meter, possesses an initial energy of 100 Joules. After accounting for a 20% energy loss during the collision, 80 Joules is effectively transferred to the nail. The work done by the hammer in a single stroke is confirmed to be 80 Joules, not the initial 100 Joules, as the hammer remains at rest post-impact.

PREREQUISITES
  • Understanding of basic physics concepts such as energy, work, and momentum.
  • Familiarity with the formula for gravitational potential energy: PE = mgh.
  • Knowledge of energy dissipation in collisions.
  • Basic grasp of the mechanics of hammering and nail penetration.
NEXT STEPS
  • Study the principles of energy conservation in collisions.
  • Learn about the mechanics of nail penetration and factors affecting depth.
  • Explore the concept of work done in physics, particularly in impact scenarios.
  • Investigate different types of hammers and their efficiency in driving nails.
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This discussion is beneficial for physics students, engineers, and anyone interested in mechanics, particularly those studying energy transfer and impact forces in practical applications.

fro
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Need some verification.

I am trying to drive a 9 inch nail into a log with a 10kg hammer, raising it to a maximum height of 1m and then gain momentum as it is swung down.

a. Energy of the hammer immediately prior to striking the nail:
10kg\times10\frac{m}{s^2}\times1m = 100J.

b. If 20% of hammer's energy is dissipated during the collision, how much energy is delivered to the nail in a single stroke provided the hammer remains at rest after hitting the nail?

80\%\times100J = 80J.

c. Work done by the hammer in a single stroke?

Shouldn't this be the 100J also?

d. How far into the log is the nail driven in a single stroke?

Not sure about this one!

Could someone please give me some hints on these. Thanks.
 
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Did you state all the information you were given for this problem? It seems that some assumption is being made that I am not seeing, and since nobody else has replied I assume others are not seeing it either.
 

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