Answer:
The distance is 3.1 m
Explanation:
The position vector of the fly relative to the corner of the wall is
r = (3.1, 0.5).
The distance of the fly from the corner will be calculated as the magnitude of the vector "r"
magnitude of vector
Since the numbers to be added have only one decimal place 3.<u>1</u> and 0.<u>5</u>, the result of the sum will have to have one decimal place. The result of the square root will also have one decimal place.
Answer:
1) 9.8×10⁻⁹ m/s
2) 50970.3238656 L
Explanation:
1) In 30 days hair grows 1 inch
1 inch = 2.54 cm
1 cm = 0.01 m
2.54 cm = 2.54 × 0.01 m
⇒2.54 cm = 0.0254 m
30 days = 30×24×60×60 = 2592000 seconds
Speed = Distance / Time
Speed at which hair grows is 9.8×10⁻⁹ m/s
2) 1 ft = 0.3048 m
0.3048 m = 30.48 cm
1 ft = 30.48 cm
15 ft = 15×30.48 = 457.2 cm
8 ft = 8×30.48 = 243.84 cm
Volume of water in pool = Length × Width × Depth
⇒Volume of water in pool = 457.2×457.2×243.84
⇒Volume of water in pool = 50970323.8656 cm³
or
Volume of water in pool = 15×15×8 = 1800 ft³
1 ft³ = 30.48³ cm³
1800 ft³ = 30.48³ × 1800 = 50970323.8656 cm³
Converting to liters
1 L = 1000 cm³
0.001 L = 1 cm³
50970323.8656 cm³ = 50970323.8656×0.001 = 50970.3238656 L
Volume of water in pool is 50970.3238656 L
Answer:
2.36 x 10^6 J
Explanation:
Tc = 0°C = 273 K
TH = 22.5°C = 295.5 K
Qc = heat used to melt the ice
mass of ice, m = 85.7 Kg
Latent heat of fusion, L = 3.34 x 10^5 J/kg
Let Energy supplied is E which is equal to the work done
Qc = m x L = 85.7 x 3.34 x 10^5 = 286.24 x 10^5 J
Use the Carnot's equation
QH = 309.8 x 10^5 J
W = QH - Qc
W = (309.8 - 286.24) x 10^5
W = 23.56 x 10^5 J
W = 2.36 x 10^6 J
Thus, the energy supplied is 2.36 x 10^6 J.