A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area o
2 answers:
Height of the kite is = 36 inches.
Width of the kite is = 30 inches
One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .
Now we will use the formula to find the area of each triangle. Then we will add both the areas to find the area of the kite.
Area of 1 triangle = = 270 square inches
Area of the 2nd triangle is also = 270 square inches
Hence, area of the kite = 270+270 = 540 square inches
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We can solve this problem by using considerations about energy.
At the moment the stone is dropped, it has only gravitational potential energy:
where
is the weight of the stone
h = 10 m is the initial height of the stone
As the stone falls, part of this energy is converted into kinetic energy, while part into thermal energy due to the presence of the air friction, acting opposite to the motion of the stone:
where:
is the mass
v = 13 m/s is the final speed of the stone
is the thermal energy
The thermal energy is actually equal to the work done by the air friction on the stone:
where
F is the average force of friction
h = 10 m
Since the total energy must be conserved, we can combine the three equations, so we find:
And solving for F, we find the average force of air friction:
