A 2-ft-diameter hemispherical plexiglass "bubble" is to be used as a special window on the side of an above-ground swimming pool
. The window is to be bolted onto the vertical wall of the pool and faces outward, covering a 2-ft-diameter opening in the wall. The center of the opening is 5.9 ft below the surface. Determine the (a) horizontal and (b) vertical components of the force of the water on the hemisphere.
If the force applied is the same, the small point will exert a greater pressure. Assumption:
both forces are applied perpendicularly and evenly, and
the entirety of the larger point is in contact with the object that it is acting on.
Pressure is the amount of force exerted per unit area. In other words, if a normal force of size is exerted over an area of , it will exert a pressure of
The contact area, , is in the denominator. If the numerator stays the same and the value of the denominator increases, the value of the quotient will become smaller. With a similar logic, if the value of the numerator (normal force) stays the same, raising the size of the force (the denominator) will reduce the pressure on the object.
This relationship is widely applied in real life. For example, the moon soil is known to be soft; it is likely to get deshaped easily under pressure. Landers with pointy legs might sink into the soil and topple. To minimize that risk, each landing leg of the Apollo Lunar Modules is equipped with a wide plate, The plate maximizes the contact area and minimize the pressure on the lunar surface.
<span>A concave mirror and a converging lens will only produce a real image if the object is located beyond the focal point (i.e., more than one focal length away). The image of an object is found to be upright and reduced in size.</span>
If one of the parents is white and the other is brown, their offspring will be either white or brown with equal probabilities. Rabbits in this population mate randomly; thus, the probability of mating two white rabbits is the same as the probability of mating between two brown rabbits.