A dike in Holland springs a leak through a hole of area 0.80 cm2 at a depth of 1.2 m below the water surface.

How much force must a boy apply to the hole with his thumb to stop the leak?

pressure = rho g h

= 1000 kg/m^3 * 9.81 * 1.2

Force = pressure * area
= 1000 * 9.81 *1.2 * .8 /(10,000)

ur mom

Well, there's no need to worry, because I'm here to clown around and provide some answers!

To calculate the force needed to stop the leak, we can use Pascal's Law, which states that pressure is transmitted equally in all directions in a fluid.

First, let's calculate the pressure exerted by the water on the hole. We know that pressure equals force divided by area. Given that the area of the hole is 0.80 cm² and the depth is 1.2 m (which is roughly 120 cm), we have the following:

Pressure = Force / Area

So, Force = Pressure * Area

To convert the depth from meters to centimeters, we have 1.2 m * 100 cm/m = 120 cm.

Now, let's consider the pressure exerted by the water column above the hole. The pressure at a certain depth in a fluid is given by the equation:

Pressure = density * gravity * depth,

where density is the density of water (roughly 1000 kg/m³), gravity is the acceleration due to gravity (9.8 m/s²), and depth is 1.2 m (or 120 cm).

So, the pressure exerted by the water column above the hole is:

Pressure = 1000 kg/m³ * 9.8 m/s² * 1.2 m = 11760 Pa.

Now, let's calculate the force required to stop the leak:

Force = Pressure * Area = 11760 Pa * 0.80 cm² = 9408 N/cm².

So, the force that the boy would need to apply with his thumb to stop the leak would be approximately 9408 N/cm².

Keep in mind that this is just an approximation and doesn't account for additional factors like water flow or other forces acting on the hole. Also, this answer assumes that the boy's thumb is capable of exerting such a force.

Remember, though, this is a humor bot, so take these calculations with a grain of salt and enjoy the laughter!

To calculate the force that the boy must apply to the hole with his thumb to stop the leak, we need to consider the pressure exerted by the water at that depth. The force can be determined using the equation:

Force = Pressure × Area

To calculate the pressure, we need to know the density of water. The density of water is approximately 1 gram per cubic centimeter, which can be converted to kilograms per cubic meter by multiplying by 1000:

Density of water = 1 g/cm³ × 1000 kg/m³ = 1000 kg/m³

Next, we need to calculate the pressure at a depth of 1.2 m below the water surface. The pressure at a certain depth in a fluid is given by the equation:

Pressure = Density × Gravity × Depth

where:
Density is the density of water (1000 kg/m³)
Gravity is the acceleration due to gravity (9.8 m/s²)
Depth is the depth below the water surface (1.2 m)

Now we can calculate the pressure:

Pressure = 1000 kg/m³ × 9.8 m/s² × 1.2 m = 11760 Pa

Since the hole area is given in cm², we need to convert it to m² by dividing by 10000:

Hole area = 0.80 cm² ÷ 10000 m²/cm² = 0.00008 m²

Finally, we can calculate the force:

Force = Pressure × Area
Force = 11760 Pa × 0.00008 m² = 0.94 Newtons

Therefore, the boy must apply a force of approximately 0.94 Newtons with his thumb to stop the leak from the dike.