Answer:
(a) 400 J
(b) 40000 J
Step-by-step explanation:
Work done is the product of force and displacement. Therefore, in a graph where the y-axis represents force and the x-axis represents displacement, the area under the graph represents work done.
Therefore, to calculate the work done from the given graphs, we have to calculate the area under them.
(a) The graph is in the shape of a triangle, so:
Work done = area under force-displacement graph
=
× base × height
=
= 400 J
(b) The graph has an irregular shape, and so we can find the area of one of the small squares and then multiply that by the number of small squares under the graph.
Are of one square = length × width
=
= 5000 J
There are a total of eight small squares under the graph, therefore:
Work done =
= 40000 J