Concept explainers
The temperature rises of a nail when struck by a hammer.
Answer to Problem 18P
Solution:
The temperature rises of a nail when struck by a hammer is 43 degrees
Explanation of Solution
Formula Used:
The formula used is the relation between temperature and specific heat from
Where,
is the
is the specific heat
is the mass
is the final temperature
is the initial temperature
The other formula used is the kinetic energy:
Where,
is the kinetic energy
is the velocity
is the mass
Given:
of iron is 460 J/kgK
is mass of nail which is 0.014 kg
is the temperature rise of the nail
is the velocity of hammer which is 7.5 m/s
is the mass which is 1.2 kg
Calculation:
When striking one the kinetic energy of the hammer is converted to heat energy in the nail.
The kinetic energy of the hammer is
Substituting,
is the velocity of hammer which is 7.5 m/s
is the mass which is 1.2 kg
The kinetic energy is now,
J
This kinetic energy is transferred as heat energy. Since the hammer is struck 8 times the total kinetic energy is
J
Since this is transferred to the nail, the energy of the nail is
J
Inserting the given values in the heat capacity formula:
C
Chapter 14 Solutions
Physics: Principles with Applications
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