Answer:
The increase of temperature is 2.88 Kelvin
Step-by-step explanation:
Step 1: Data given
Height = 38.2 meter
Total mass of the bag with lead m = 745.0 grams
Specific heat of lead c= 130J/kg* K
Step 2: Calculate change in temperature
Q = heat transfer
Q = m*c*ΔT
with m= mass
with c= specific heat capacity
with ΔT = change in temperature
Q = Potential energy
Potential energy = m*g*h
with m= mass
with g= acceleration due to gravity (9.81 m/s²)
with h= height
m*g*h = m*c*ΔT
ΔT = (m*g*h)/m*c
ΔT = g*h/c
ΔT = 9.81*38.2 /130
ΔT = 2.88 °C
The increase of temperature is 2.88 Kelvin