Question

A 55 kgkg meteorite buries itself 5.5 mm into soft mud. The force between the meteorite and the mud is given by F(x)F(x) = (630 N/m3N/m3 )x3x3, where xx is the depth in the mud. Find the work done on the meteorite by the mud.

Answer 1

W = 1.44 10⁻⁷ J

Step-by-step explanation:

The expression for the job is

W = ∫ F. dx

Where the point is the scalar product in this case the direction of the meteor and the depth is parallel, whereby the scalar product is reduced to the ordinary product

W = 630 ∫ x³ dx

W = 630 x⁴ / 4

Let's evaluate between the lower limit x = 0, w = 0 to the upper limite the point at x = 5.5 10⁻³ m

W = 157.5 ((5.5 10⁻³)⁴ -0)

W = 1.44 10⁻⁷ J