Tell the teacher, do NOT clean it up yourself.
Answer:
![m_{H_2O}=39.0g](https://tex.z-dn.net/?f=m_%7BH_2O%7D%3D39.0g)
Explanation:
Hello,
In this case, is possible to infer that the thermal equilibrium is governed by the following relationship:
![\Delta H_{iron}=-\Delta H_{H_2O}\\m_{iron}Cp_{iron}(T_{eq}-T_{iron})=-m_{H_2O}Cp_{H_2O}(T_{eq}-T_{H_2O})](https://tex.z-dn.net/?f=%5CDelta%20H_%7Biron%7D%3D-%5CDelta%20H_%7BH_2O%7D%5C%5Cm_%7Biron%7DCp_%7Biron%7D%28T_%7Beq%7D-T_%7Biron%7D%29%3D-m_%7BH_2O%7DCp_%7BH_2O%7D%28T_%7Beq%7D-T_%7BH_2O%7D%29)
Thus, both iron's and water's heat capacities are: 0.444 and 4.18 J/g°C respectively, so one solves for the mass of water as shown below:
![m_{H_2O}=\frac{m_{iron}Cp_{iron}(T_{eq}-T_{iron})}{-Cp_{H_2O}(T_{eq}-T_{H_2O}} \\\\m_{H_2O}=\frac{32.5g*0.444\frac{J}{g^0C}*(59.7-22.4)^0C}{-4.18\frac{J}{g^0C}*(59.7-63.0)^0C} \\\\m_{H_2O}=39.0g](https://tex.z-dn.net/?f=m_%7BH_2O%7D%3D%5Cfrac%7Bm_%7Biron%7DCp_%7Biron%7D%28T_%7Beq%7D-T_%7Biron%7D%29%7D%7B-Cp_%7BH_2O%7D%28T_%7Beq%7D-T_%7BH_2O%7D%7D%20%5C%5C%5C%5Cm_%7BH_2O%7D%3D%5Cfrac%7B32.5g%2A0.444%5Cfrac%7BJ%7D%7Bg%5E0C%7D%2A%2859.7-22.4%29%5E0C%7D%7B-4.18%5Cfrac%7BJ%7D%7Bg%5E0C%7D%2A%2859.7-63.0%29%5E0C%7D%20%5C%5C%5C%5Cm_%7BH_2O%7D%3D39.0g)
Best regards.
Answer: b) Crash 2; the force on the cart was stronger in this crash, so the force on the skateboard was also stronger.
Explanation: