a trailer is pulling acar with a force of 900N on a level road. The car is moving at 70km/h, how much work is done by the trailer on the car in 15mm?
I assume you mean 15min instead of 15mm
That's 1/4 hour, so the car moves 17.5km
work = force*distance, so we have
900N * 17500m = ... J
To calculate the work done by the trailer on the car, we need to multiply the force applied by the trailer by the distance over which the trailer applies the force.
First, we need to convert the speed of the car from kilometers per hour to meters per second:
70 km/h = (70 * 1000) / 3600 = 19.44 m/s
Next, we need to convert the time from minutes to seconds:
15 minutes = 15 * 60 = 900 seconds
Now, we can calculate the distance traveled by the car in 15 minutes using the formula:
Distance = Speed * Time
Distance = 19.44 m/s * 900 s = 17,496 meters
Finally, we can calculate the work done by the trailer on the car using the formula:
Work = Force * Distance
Work = 900 N * 17,496 m = 15,746,400 Joules
Therefore, the work done by the trailer on the car in 15 minutes is 15,746,400 Joules.
To determine the work done by the trailer on the car, we need to use the formula for work:
Work = Force * Distance * cos(theta)
Where:
- Force (F) = 900N (the force exerted by the trailer on the car)
- Distance (d) = the distance the car travels
- theta (θ) = the angle between the direction of the force and the direction of motion. Since the road is level, theta = 0 degrees, and cos(0) = 1.
First, let's convert the car's speed from km/h to m/s:
70 km/h = 70,000 meters / (60 minutes * 60 seconds) = 19.44 m/s
Next, we need to calculate the distance the car travels in 15 minutes (mm to minutes):
15 mm = 15/1,000 minutes = 0.25 minutes
Now, we can calculate the distance traveled by the car:
Distance = Speed * Time
Distance = 19.44 m/s * 0.25 minutes * 60 seconds/minute
Distance = 2.916 meters
Finally, we can calculate the work done by the trailer on the car:
Work = 900N * 2.916m * 1
Work = 2624.4 Joules
Therefore, the trailer does 2624.4 Joules of work on the car.