To calculate the volume of a rectangular, we have to multiply the value of height, length and width.
8x5x4 = 160 cm ^3
Answer:
€0.98 per liter = 4.377 doller per gallon
Explanation:
It is given that, In Europe, gas cost approximately €0.98 per liter. We need to convert it into dollars($) per gallon.
We know that, 1 euro = 1.18 United States Dollar
1 litre = 0.264172 US gallon
Cost of gas in Europe is €0.98 per liter.
![0.98\ \text{euro/ liter}=\dfrac{0.98\times 1.18\ \text{doller}}{0.264172\ \text{gallon}}\\\\=4.377\ \text{doller/gallon}](https://tex.z-dn.net/?f=0.98%5C%20%5Ctext%7Beuro%2F%20liter%7D%3D%5Cdfrac%7B0.98%5Ctimes%201.18%5C%20%5Ctext%7Bdoller%7D%7D%7B0.264172%5C%20%5Ctext%7Bgallon%7D%7D%5C%5C%5C%5C%3D4.377%5C%20%5Ctext%7Bdoller%2Fgallon%7D)
Answer:
a = 0.009 J
b = 0.19 m/s
c = 0.005 J and 0.004 J
Explanation:
Given that
Mass of the object, m = 0.5 kg
Spring constant of the spring, k = 20 N/m
Amplitude of the motion, A = 3 cm = 0.03 m
Displacement of the system, x = 2 cm = 0.02 m
a
Total energy of the system, E =
E = 1/2 * k * A²
E = 1/2 * 20 * 0.03²
E = 10 * 0.0009
E = 0.009 J
b
E = 1/2 * k * A² = 1/2 * m * v(max)²
1/2 * m * v(max)² = 0.009
1/2 * 0.5 * v(max)² = 0.009
v(max)² = 0.009 * 2/0.5
v(max)² = 0.018 / 0.5
v(max)² = 0.036
v(max) = √0.036
v(max) = 0.19 m/s
c
V = ±√[(k/m) * (A² - x²)]
V = ±√[(20/0.5) * (0.03² - 0.02²)]
V = ±√(40 * 0.0005)
V = ±√0.02
V = ±0.141 m/s
Kinetic Energy, K = 1/2 * m * v²
K = 1/2 * 0.5 * 0.141²
K = 1/4 * 0.02
K = 0.005 J
Potential Energy, P = 1/2 * k * x²
P = 1/2 * 20 * 0.02²
P = 10 * 0.0004
P = 0.004 J
I believe the answer is CONVECTION.
hope that helps!!!