Answer:
Explanation:
It is given that,
Distance between the spotlight and the wall, y = 24 m
Height of the woman, h = 2 m
The woman walks toward the building at the rate of 0.6 m/s,
In the attached figure, triangle ABC and MNC are similar. So,
............(1)
When she is 2 meters from the building. So x = 24-2 = 22 m
Differentiating equation (1) i.e.
So, her shadow is decreasing at the rate of 0.059 m/s. Hence, this is the required solution.
Answer:
1) Mass of the grain is .
2) 0.08901 kg of sand would have surface area equal the surface area of the cube.
Explanation:
1) Radius of the grain,r = 64.8 µm =
Volume of the sphere =
Volume of the grain of a sand:
Density of a grain of sand =
Mass of a grain of a sand = M
Mass of the grain is .
2) Surface are of sphere:
Surface area of a grain:
Length of the cube = a = 0.514 m
Total surface area of cube ,A'=
let the number grains with area equal to total surface area of cube be x.
Volume of x number of grains :V'
Mass of of sandL:
=
0.08901 kg of sand would have surface area equal the surface area of the cube.