Question

In the graph shown below (force vs. position), a variable force can be represented by the function, F(x) = x² a.) Estimate the work done by this force between x = 0 m and x = 4 m by using the area under the curve, approximating this by using rectangles and/or triangles to approximate the area under the curve. Force (N) 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 X (m) b.) find the exact work done by the force between x = 0 m and x = 4 m by integration c.) What is the percent difference between the two values? d.) if the object begins from rest, what is the final velocity of the object?

          In the graph shown below (force vs. position), a variable force can be represented by the function, F(x) = x²
a.) Estimate the work done by this force between x = 0 m and x = 4 m by using the area under the curve, approximating this by using rectangles and/or triangles to approximate the area under the curve.
Force (N)
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4
X (m)
b.) find the exact work done by the force between x = 0 m and x = 4 m by integration
c.) What is the percent difference between the two values?
d.) if the object begins from rest, what is the final velocity of the object?

In the graph shown below (force vs. position), a variable force can be represented by the function, F(x) = x²
a.) Estimate the work done by this force between x = 0 m and x = 4 m by using the area under the curve, approximating this by using rectangles and/or triangles to approximate the area under the curve.
Force (N)
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4
X (m)
b.) find the exact work done by the force between x = 0 m and x = 4 m by integration
c.) What is the percent difference between the two values?
d.) if the object begins from rest, what is the final velocity of the object?

Added by Gabriel P.

Question

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