When running on its 11.4 V battery, a laptop computer uses 8.3 W. The computer can run on battery power for 8.0 h before the battery is depleted.a)What is the current delivered by the battery to the computer?b)How much energy, in joules, is this battery capable of supplying?c)How high off the ground could a 75 kg person be raised using the energy from this battery?

Respuesta :

Answer:

(a) Current i =0.7280 A

(b) Energy = 238993.922 j

(c) Height h = 325.161 m

Explanation:

We have given that voltage V = 11.4 Volt

Power P = 8.3 Watt

Time t = 8 hour

We know that 1 hour = 3600 sec

So 8 hour = 28800 sec

(a) We have to calculate current

We know that power = voltage ×current

Current [tex]i=\frac{P}{V}=\frac{8.3}{11.4}=0.7280A[/tex]

(b) We have to calculate the energy

Resistance is given by [tex]R=\frac{V}{i}=\frac{11.4}{0.7280}=15.657ohm[/tex]

We know that energy [tex]E=i^2Rt=0.7280^2\times 15.657\times 28800=238993.922j[/tex]

(a) Energy required to lift the mass is given by mgh

So [tex]mgh=238993.922j[/tex]

We have given mass m = 75 kg

So [tex]75\times 9.8\times h=238993.922j[/tex]

h=325.161 m

a)The rate of flowing of charge is said to be the electric current. The current delivered  will be is 0.7280 A

(b)The battery capable of supplying 238993.922 j amount of energy.

(c)He can raise the height up to 325.161 m using the energy of the battery.

What is electric current?

The rate of flow of charge is said to be the electric current.  A charge is responsible for the flow of electric current. Its unit is ampere and calculated by the ammeter.

voltage(V) = 11.4 volts.

Power(p)= 8.3 watts

Time (t)= 8 hours

mass (m)= 75 kg

We know that

one hour equals 3600 seconds.

As a result, 8 hours equals 28800 seconds.

(a)

Power is equal to the product of voltage and current.

[tex]\rm{P = VI}[/tex]

[tex]I = \frac{P}{V}[/tex]

[tex]I = \frac{8.3}{11.4}[/tex]

[tex]\RM{I = 0.7280 A}[/tex]

Hence the current delivered will be is 0.7280 A.

(b)

According to ohm's law

[tex]\rm V = IR[/tex]

[tex]\rm{R=\frac{V}{I} }[/tex]

[tex]\rm{R=\frac{11.4}{0.7280} }[/tex]

[tex]\rm{R=15.6 ohm }[/tex]

The formula for the heat generated by supplied

[tex]\rm{H = I^{2} RT}[/tex]

[tex]\rm{H = 0.7280^{2}\times 15.6\times28800}[/tex]

[tex]\rm{H = 238993.922 J}[/tex]

Hence the battery is capable of supplying 238993.922 j amount of energy

(c)

The potential energy required to lift the body is given by

[tex]\rm{ PE = mgh}[/tex]

This potential energy is get converted into the amount of energy supplied.

[tex]\rm{ PE = mgh= 238993.922 J}[/tex]

[tex]\rm{h = \frac{PE}{ mg} }[/tex]

[tex]\rm{h = \frac{238993.922}{ 75\times9.81} }[/tex]

[tex]\rm{h = 325.161 m }[/tex]

Hence he can raise the height up to 325.161 m using the energy of the battery.

To learn more about the electric current refer to the link;

https://brainly.com/question/7643273

Q&A Education