Quick physics questions?

[Riue]

If 15.0 J of work is done on an object, how much energy must the object gain?

When dealing with graphs such as speed-time and position-time, how do you calculate area in graphs? What does it represent?

Also, how do you calculate slope in graphs? Will it still work if the line moves up and down?

Thank you.

[LucaPacioli1492]

The energy gained by the object = the work done on it ( assuming no losses to friction etc ).

If you graph things, you can count the boxes to determine the area, you can use a Polarimeter to measure the area or, if you know the formulas describing the curve on the graph you can INTEGRATE the area under the curve by integral calculus.

The area of a speed-time graph is dx/dt vs t so the area under the curve is X(0) - X(f). When using a position-time graph,you are usually interested in getting the slope, rather than the area.

The slope can be measured by the angle between the tangent to the curve at a point and the horizontal.