Astep up transformer has 250 turns on its primary and 500 turns on it secondary. when the primary is connected to an200 v and the secondary is connected to a floodlight that draws 5a, what is the power output? show all your work

Since the secondary winding has twice as many turns as the primary winding, the voltage induced in the secondary will be double the voltage that you apply to the primary.

If you connect a source of 200 volts to the primary, then you will measure 400 volts across the secondary.  (Note:  Please work with AC only.  If you apply DC to a transformer, the output consists entirely of smoke.)

Power = (voltage) x (current)

If a floodlight across that secondary winding draws 5 Amperes, then the power dissipated by the light is

Power = (400 v) x (5 A)

Power = (2,000) VA

Power = 2,000 watts

Power = 2 kilowatts

most voltage drop calculators want the distance between the source and destination. then internally, they double it so both the source and return wires are calculated. but you need to know which distance the calculator uses so you're not half of what you should be or double what you should be.

most circuit breakers will not take a #6 directly, so the electrician will have to splice on a smaller pigtail. you also have to upsize the grounding wire when you upsized the ungrounded (hot) wire (see note in 250.122). this will preclude using most cable assemblies, as a cable with #6 copper will most likely only have a #10 grounding conductor. you need a #6 grounding conductor if the circuit is 20a. a #8 cable is no better, as it will have a #10 grounding conductor too. but most 20a breakers will take a #8 directly.

in your related post, you didn't say what type of load this is. if it is a light or heater, voltage drop won't be a big issue. if this is a motor, the current needs are huge at startup and the voltage drop can pose a problem. if this is a motor, knowing if the motor is under much load during startup will answer the voltage drop effect (a saw is easier to start than a compressor).

one person pulls 90n one way and the other has 100n pulling the other way.

so the net force = 90 - 100 = -10n,

or the ans can be 10n if the picture shows -90n and 100n instead.