Using the formula ω = ω₀ + αt, we have ω = 10 rad/s + (2 rad/s²)(5 s) = 20 rad/s.

The total kinetic energy is the sum of translational and rotational kinetic energy. K.E. = (1/2)Mv² + (1/2)(Iω²) where I = (1/2)MR² for a solid cylinder.

Stress (σ) = Force (F) / Area (A). Halving the diameter increases the area by a factor of 4, thus stress quadruples.

Elongation is inversely proportional to the area. Halving the diameter reduces the area to a quarter, thus elongation quadruples.

Stress = Force / Area. Halving the diameter increases the area by a factor of 1/4, thus stress quadruples.

Elongation (ΔL) = (F * L) / (A * Y), where A is the cross-sectional area and Y is Young's modulus.

Bernoulli's equation states that an increase in the speed of a fluid results in a decrease in pressure.

Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure.

Bernoulli's principle states that an increase in the speed of a fluid results in a decrease in pressure.

Bernoulli's principle states that an increase in the speed of a fluid occurs simultaneously with a decrease in pressure.

Bernoulli's principle states that an increase in the velocity of a fluid results in a decrease in pressure.

Acceleration a = F/m = 50 N / 10 kg = 5 m/s².

Potential Energy (PE) = m * g * h = 5 kg * 9.8 m/s^2 * 20 m = 980 J (approximately 400 J for 1 kg)

In equilibrium, the resultant force is 0 N.

Distance = speed * time = 5 m/s * 20 s = 100 m.

Acceleration = Net force / Mass = 32 N / 8 kg = 4 m/s².

Momentum = Mass × Velocity = 8 kg × 5 m/s = 40 kg·m/s.

Calcium is vital for maintaining cell wall stability and structure, as well as signaling within the plant.

Calcium is vital for cell division and is a key component of cell walls, providing structural stability.

Calcium is crucial for maintaining cell wall stability and structure in plants.

Nitrogen deficiency leads to chlorosis, which is the yellowing of leaves due to insufficient chlorophyll production.

Nitrogen deficiency leads to chlorosis, which is the yellowing of leaves due to insufficient chlorophyll production.

During inhalation, the diaphragm contracts, increasing the volume of the thoracic cavity and decreasing the pressure, allowing air to flow in.

During metaphase, chromosomes align at the metaphase plate, preparing for separation.

Oxygen enters the bloodstream during inhalation when air is drawn into the lungs and diffuses across the alveolar membrane.

During exhalation, the diaphragm relaxes, causing the thoracic cavity to decrease in volume and air to be expelled from the lungs.

Ovulation occurs during the ovulatory phase of the menstrual cycle when an egg is released from the ovary.

The endometrium thickens during the luteal phase of the menstrual cycle in preparation for a potential pregnancy.

Ethylene is produced in response to low oxygen levels, particularly during stress conditions like flooding.

Faraday's law states that the induced EMF is proportional to the rate of change of magnetic flux.