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 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 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.

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

When the object is at infinity, the rays converge at the focus of the convex lens.

When the object is at the focus of a convex lens, the rays of light emerge parallel, resulting in no image being formed.

Convert speed to m/s: 36 km/h = 10 m/s. KE = 1/2 * m * v^2 = 1/2 * 1000 kg * (10 m/s)^2 = 50000 J.

Using Ohm's Law, V = I * R = 2A * 10Ω = 20V.

Using Ohm's Law, V = I * R = 5A * 10Ω = 50V.

Power (P) can be calculated using the formula P = V^2 / R. Here, P = 20^2 / 10 = 400 / 10 = 40W.

Power (P) can be calculated using the formula P = V^2 / R. Here, P = 20V^2 / 10Ω = 40W.

Using F = ma, a = F/m = 10 N / 2 kg = 5 m/s².

Momentum = mass × velocity = 4 kg × 5 m/s = 20 kg m/s.

Kinetic Energy = 0.5 × Mass × Velocity² = 0.5 × 5 kg × (10 m/s)² = 250 J.

Power (P) can be calculated using P = V^2 / R. Here, P = 15V^2 / 5Ω = 45W.

When the voltage is increased to 10 V, the charge on the capacitor increases because charge (Q) is directly proportional to voltage (V) for a given capacitance.