Concept explainers
(a)
The increasing temperature of the bullet.
(a)
Answer to Problem 97P
The increasing temperature of the bullet is
Explanation of Solution
Write the equation for heat energy required to produce temperature change in a system.
Here,
Write the equation for kinetic energy of system.
Here,
Conclusion:
Compare the equation (I) and (II) and solve for
Substitute
Therefore, the increasing temperature of the bullet is
(b)
Find the equilibrium temperature.
(b)
Answer to Problem 97P
The equilibrium temperature is
Explanation of Solution
Write the equation for heat energy required to produce temperature change in iron bullet.
Here,
Write the equation for heat energy required to produce temperature change in wooden block.
Here,
Write the equation for kinetic energy of system.
Here,
The change in internal energy of the bullet and block system is equal to the initial kinetic energy of the bullet so that
Replace
Conclusion:
Substitute
Therefore, the equilibrium temperature is
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