Approximately how far will the people have to travel to move the truck 1.5m if |Truck force is 4500N and people are 1200N?
To find out how far the people will have to travel to move the truck 1.5 meters, we need to consider the forces involved and use the concept of work.
Work is defined as the product of force and displacement. The formula for work is:
Work = Force * Displacement * cos(θ)
Where:
- Work is the amount of work done (in joules)
- Force is the applied force (in newtons)
- Displacement is the distance moved in the direction of the force (in meters)
- θ (theta) is the angle between the force and displacement vectors (in degrees)
In this case, we assume that the applied force is parallel to the displacement, so the angle θ is 0 degrees. Therefore, cos(0) = 1, and we can simplify the formula:
Work = Force * Displacement
Now we can rearrange the formula to solve for the displacement:
Displacement = Work / Force
Since the work done is the same for both the truck and the people, we can equate their respective works:
Truck Work = People Work
To find the work done by each, we multiply the force applied by the displacement:
Truck Work = Truck Force * Truck Displacement
People Work = People Force * People Displacement
Given that the truck force is 4500N, people force is 1200N, and truck displacement is 1.5m, we can substitute these values into our equations:
4500 * 1.5 = 1200 * People Displacement
To find the People Displacement, we divide both sides of the equation by 1200:
People Displacement = (4500 * 1.5) / 1200
Simplifying the equation gives:
People Displacement = 5.625 meters
Therefore, the people will have to travel approximately 5.625 meters to move the truck 1.5 meters.