Answer: See below
Step-by-step explanation:
To know how much power is consumed by the two electrical object ww can use the following equation.
Power (P) = Voltage (V) * Current (A)
Where V is a constant value between the two objects (120 V) and the current, measured on amperes is equal to 12 A for the blow-dryer and the vacuum cleaner is 5.7 A. Using this equation we get the followings values.
a. For the Blow-Dryer:
Blow-Dryer's Power = Blow-Dryer's Voltage * Blow-Dryer's Current
Blow-Dryer's Power = 120 V * 12 A
Blow-Dryer's Power = 1440 Watts (W)
b. For the Vacuum Cleaner:
Vacuum Cleaner's Power = Vacuum Cleaner's Voltage * Vacuum Cleaner's Current
Vacuum Cleaner's Power = 120 V * 5.7 A
Vacuum Cleaner's Power = 684 W
Where Watts (W) is the unit for measuring power.
c. To know the energy ratio used for the blow dryer and the vaccum cleaner, we need to keep in mind that Power it the relation between Energy and time.
Watts (W) = Joules (J) / Seconds (s)
This means that one Watts thourgh a load consumes on Joules of energy per second
So we can know how much energy each device consumes by looking for the energy on the previous equation.
J = W *s
Before using this equation, we need to change the time we are given from minutes to seconds, with the following realtion
1 minute = 60 seconds
So:
17 minutes = 17 * (60 seconds) = 1020 seconds
48 minutes = 48 minutes * (60 seconds) = 2880 seconds
Using this values we can know the energy ratios:
Blow-dryer's Energy = 1440 W * 1020 s
Blow-dryer's Energy = 1468800 J
Vacuum cleaner's Energy = 684 W * 2880 s
Vacuum cleaner's Energy = 1969920 J
So that it is know the Vacuum cleaner and the Blowe-Dryer energy ratios