Answer:
6.875 m/s
Explanation:
The force is variable which is given by
F(x) = 18 - 0.53 x
mass of the box, m = 8.9 kg
initially it is at rest at x = 0
Let the velocity is v after travelling a distance of 15 m.
According to the work energy theorem, the work done by all the forces is equal to the change in kinetic energy of the body.
Work done = change in kinetic energy
18 x 15 - 0.265 x 15 x 15 = 4.45 x v²
270 - 59.625 = 4.45 v²
v² = 47.275
v = 6.875 m/s
Thus, the final velocity of the box is 6.875 m/s.
Area is a region bounded by a CLOSED path, curved path or path with line segments. Area is usually a two dimensional physical quantity, a
designated part on a plane. An example the surface of a table, face of a
wall or a ceiling. It can also be a surface in 3-dimensions. Its units are meter² or centimeter² or feet² etc. A large agricultural field is a good example of an area. Normally and ideally no object can reside or exist with in an area. An object requires a volume. It is a collection of all points enclosed or bounded by the boundary or closed path. It does not have any thickness.
Volume is a 3-dimensional quantity. A physical body occupies space with its material components. It is the amount of space occupied, that is its volume. Any existing body occupying some space has a mass and volume. A mass having a volume, has surface area and thickness, a height perpendicular to its surface at each point on the surface.
It is expressed as meter³, feet³ etc.
Volume is a product of surface area (cross-section) and length - for example for a wire or rod.
