Answer:
45.6°C
Explanation:
Kinetic energy = [tex]\frac{1}{2}mv^2[/tex]
Use m= 1.80kg and v=7.80m/s (mass and speed of hammer).
K = 0,5*1.80kg*(7.80m/s)^2 = K=54.8J
Heat is 60% of Kinetic energy. Q = 0.6*54.8J = 32.9J
As it is stuck 10 times the total heat is 10*32.9J = Total Heat = 329J
Use the equation [tex]Q = mC_v \Delta T[/tex] to find change of temperature:
[tex]\Delta T = \frac{Q}{mC_v}[/tex]
Q = 329J; m = 8.00g of aluminium; C_v = 0.900J/g°C (For aluminium)
[tex]\Delta T = \frac{329J}{8.00g*0.900J/g°C}[/tex]
Calculating gives Change of Temperature = 45.6°C
