Mechanical(ME) energy, in physical sciences, is the sum of kinetic energy (KE) and potential energy (PE). Below are the calculation in obtaining the energies,
(1) KE = 0.5mv² = 0.5(0.1 kg) x (2 m/s)² = 0.2 J
(2) PE = md = (0.1 kg) x (1.5 m) = 0.15 J
(3) ME = KE + PE = 0.2 J + 0.15 J = 0.35 J
Thus, the mechanical energy is 0.35 Joules.
Answer:
THE MASS OF THE LIQUID IS 22.5 g
Explanation:
Density = 0.180 g/cm3
Side length = 5 cm
Mass = unknown
To calculate the mass of the liquid, we use the formula:
Mass = density * volume
Volume of a cube or cuboid container = l^3
Volume = 5 ^3 = 125 cm3
So therefore, the mass of the liquid is:
Mass = 0.180 * 125
Mass = 22.5 g
In conclusion, the mass of the liquid in the container is 22.5 g
Explanation:
I will do two of each as examples.
Boyle's law says that at constant temperature, the product of the initial pressure and volume equals the product of the final pressure and volume.
1. P₁ V₁ = P₂ V₂
(1.5 atm) (10.0 L) = (0.75 atm) V
V = 20.0 L
2. P₁ V₁ = P₂ V₂
(100.0 kPa) (500.0 mL) = P (1,000.0 mL)
P = 50.0 kPa
Charles' law says that at constant pressure, the quotient of the initial volume and temperature equals the quotient of the final volume and temperature.
6. V₁ / T₁ = V₂ / T₂
(10.0 L) / (1500 K) = V / (750 K)
V = 5.0 L
7. V₁ / T₁ = V₂ / T₂
(500.0 mL) / (100 K) = (1000.0 mL) / T
T = 200 K