A truck pulls a trailer at 75 km/h and exerts a uniform tension force of 800N on the trailer how to calculate the work done in 20 minutes
The first step is to convert the speed from km/h to m/s, since the unit of work is joules and the unit of distance is meters.
75 km/h = 20.83 m/s
The next step is to calculate the distance traveled by the trailer in 20 minutes.
20 minutes = 20 x 60 seconds = 1200 seconds
Distance = speed x time = 20.83 m/s x 1200 s = 25,000 meters
Now we can calculate the work done by the tension force.
Work = force x distance x cos(theta)
The angle between the direction of force and the direction of motion is not given, so we will assume it is 0 degrees (cos(0) = 1).
Work = 800 N x 25,000 m x 1
Work = 20,000,000 joules
Therefore, the work done by the tension force in 20 minutes is 20,000,000 joules.
To calculate the work done by the truck in pulling the trailer, we'll use the work formula:
Work = Force * Distance.
First, let's convert the speed from km/h to m/s:
75 km/h = 75,000 m/60 min = 1,250 m/min.
Given that the truck pulls the trailer at a uniform tension force of 800 N, we can use this formula to find the work done:
Work = Force * Distance.
Since the force is constant, we only need to find the distance traveled in 20 minutes.
Distance = Speed * Time.
Distance = 1,250 m/min * 20 min = 25,000 meters.
Now that we have both the force and distance, we can calculate the work:
Work = 800 N * 25,000 m = 20,000,000 J.
So, the work done by the truck in pulling the trailer is 20,000,000 Joules.