Answer :
Final answer:
The total energy stored in the battery is 1440 Wh. If the headlights are left on overnight (8h), the energy remaining in the battery in the morning is 1320 Wh.
Explanation:
(a) The total energy stored in the battery can be calculated by multiplying the battery's capacity (120 A-h) by the voltage (12 V). So, the total energy stored in the battery is 1440 Wh.
(b) To calculate the energy consumed by the headlights in 8 hours, we need to find the power (P) using the formula P = V × I, where V is the voltage (12 V) and I is the current (the total power rating divided by the voltage). Then, we can find the energy consumed by multiplying the power by the time (8 hours). We can subtract this energy consumption from the total energy stored in the battery to find the energy remaining in the morning. So, the energy remaining in the battery is 1440 Wh - 12 kWh = 1320 Wh.
Learn more about Energy stored in an automotive battery here:
https://brainly.com/question/34222184
#SPJ3
Answer:
Part A:
In W-h:
Energy Stored=1440 W-h
In Joules:
[tex]Energy Stored=5.184*10^6Joules\\Energy Stored=5.184 MJ[/tex]
Part B:
In W-h:
Energy left=240 W-h
In Joules:
Energy left= 8.64*10^5 J
Explanation:
Part A:
We are given rating 120A-h and voltage 12 V
Energy Stored= Rating*Voltage (Gives us units W-h)
Energy Stored=120A-h*12V
Energy Stored=1440 W-h
Converting it into joules (watt=joules/sec)
Energy Stored=[tex]1440 Joules * \frac{3600sec}{h}h[/tex]
Energy Stored=5184000 Joules
[tex]Energy Stored=5.184*10^6Joules\\Energy Stored=5.184 MJ[/tex]
Part B:
Energy used by lights for 8h=150*8
Energy used by lights for 8h=1200W-h
Energy left= Energy Stored(Calculated above)- Energy used by lights for 8h
Energy left=1440-1200
Energy left=240 W-h
Energy left=[tex]240 Joules * \frac{3600sec}{h}h[/tex]
Energy left=864000 Joules
Energy left= 8.64*10^5 J
