A car is driven at a constant speed of 21m/s down a road.the car engine delivers 48 kw of power.Calculate the force of friction that is resting the motion on the car.
Power=force * Velocity, 48kw=F*21,so F=48000/21=2285.7N
Well, it seems like the car is really revving up its engine! Let's calculate the force of friction, shall we?
To find the force of friction, we first need to figure out the total resistance opposing the motion of the car. This includes forces like air resistance, rolling resistance, and of course, the force of friction.
Now, the power delivered by the car engine is given as 48 kW. Power is defined as the rate at which work is done, which can also be expressed as force multiplied by velocity. In this case, we have 48,000 watts (since 1 kW = 1000 W), and the velocity is 21 m/s. So, we can say that 48,000 = force × 21.
Rearranging the equation, we find that the force of friction is equal to 48,000 divided by 21. So, force of friction = 2285.71 N.
So, it looks like the force of friction resisting the motion of the car is approximately 2285.71 Newtons. Time for the car to put the pedal to the metal and overcome that friction!
To calculate the force of friction that is resisting the motion of the car, we need to use the power equation and rearrange it to solve for force:
Power = Force x Velocity
First, let's convert the power from kilowatts (kW) to watts (W):
48 kW x 1000 = 48000 W
Now we can rearrange the equation to solve for force:
Force = Power / Velocity
Substituting the given values:
Force = 48000 W / 21 m/s
Calculating the force of friction:
Force = 2285.71 N
Therefore, the force of friction that is resisting the motion of the car is approximately 2285.71 Newtons.
To calculate the force of friction opposing the motion of the car, we need to use the equation:
Frictional force = Power / Velocity
Given:
Power (P) = 48 kW
Velocity (v) = 21 m/s
First, we need to convert the power from kilowatts to watts:
48 kW * 1000 = 48000 W
Now, we can substitute the values into the formula:
Frictional force = 48000 W / 21 m/s
Calculating the result:
Frictional force = 2285.71 N (approximately)
Therefore, the force of friction opposing the motion of the car is approximately 2285.71 N.