If you lift a chair weighing 50n to a height 10.5 meters and carry it 10 meters across the room. How much work did you do on the chair?

To calculate the work done on the chair, you need to use the formula:

Work = Force × Distance × cos(θ),

where:
- Force is the amount of force applied in the direction of motion (in newtons, symbolized as N),
- Distance is the displacement of the object (in meters, symbolized as m),
- θ is the angle between the applied force and the direction of motion (if the force is applied vertically upwards, θ is 0° and cos(θ) = 1).

In this case, since you are lifting the chair vertically upwards, the angle θ is 0°, meaning cos(0°) = 1. Therefore, you can simplify the equation to:

Work = Force × Distance.

Given that the force applied to lift the chair is 50 N, and you lifted it to a height of 10.5 meters, and then carried it 10 meters across the room, you can calculate the work done step by step:

1. Work done against gravity (lifting the chair):
Work against gravity = Force × Distance
= 50 N × 10.5 m

2. Work done to move the chair across the room:
Work to move across the room = Force × Distance
= 50 N × 10 m

Finally, to find the total work done, add the two values together:

Total work = Work against gravity + Work to move across the room

You can substitute the values in the equations to calculate the final answer.