Question

A

b A wind blows steadily at 90° to a yacht sail of area 3.8 m². The velocity of the
wind is 20 ms-1.
i Show that the mass of air hitting the sail each second is approximately
90 kg. Density of air is 1.2 kg m-³.

Answer 1

Answer: 90Kg

Step-by-step explanation:

The mass of air hitting the sail each second can be calculated as:

mass of air = density of air * volume of air

The volume of air hitting the sail can be calculated as:

volume of air = area of sail * velocity of wind * time

Here, the area of sail is given as 3.8 m², the velocity of wind is 20 ms^-1, and the time is 1 second (since we want to calculate the mass of air hitting the sail each second).

Therefore,

volume of air = 3.8 m² * 20 ms^-1 * 1 s = 76 m³

Using the given density of air of 1.2 kg m^-3, we can calculate the mass of air hitting the sail each second as:

mass of air = 1.2 kg m^-3 * 76 m³ = 91.2 kg

Therefore, the mass of air hitting the sail each second is approximately 90 kg.