Car Speed for 1kW Home Power Usage

[Physics211]

Homework Statement

The power consumption by a typical house is 1 kW. If the kinetic energy of a car (mass 130 kg) is equal to the total energy used by the house in 1.2 minute, what is the car’s speed?

Homework Equations

P=W/t
P=Fv
P:Power

The Attempt at a Solution

I converted 1kW to 1000 Watts and 1.2 minutes to 72 seconds and put it into the first equation but don't know how to get F for the second equation.

 

[lewando]

Consider:

Energy = Power * time

and

Kinetic Energy = mv²/2

 

[zgozvrm]

Do you mean to say that the power consumed by a typical house is 1 kWh?

 

[lewando]

It is better to say that the house consumes energy at the rate of 1kW. Exactly like the wattage rating on a light bulb. If the house is "on" for 1.2 minutes then you can determine the energy consumed by the house during this interval by:

Energy = Power * time