Elongation is inversely proportional to the area. Doubling the diameter increases the area by a factor of 4, thus elongation becomes L/4.

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

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

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

Faraday's law states that the induced EMF in a circuit is directly proportional to the rate of change of magnetic flux through the circuit.

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)

Using the formula: h = 0.5 * g * t^2. Rearranging gives t = sqrt(2h/g) = sqrt(2*80/10) = sqrt(16) = 4 s.

In equilibrium, the resultant force is 0 N.

Potential Energy (PE) = mgh = 5 kg * 9.8 m/s² * 10 m = 490 J.

Potential Energy (PE) = mgh = 5 kg * 9.8 m/s² * 10 m = 490 J.

Work Done = m * g * h = 10 kg * 9.8 m/s² * 4 m = 392 J (approx. 400 J).

Work done (W) = mgh = 10 kg × 9.8 m/s² × 4 m = 392 J.

Work done (W) = mgh = 3 kg × 9.8 m/s² × 4 m = 117.6 J.

Work done (W) = Force (F) × Distance (d) = 50 N × 4 m = 200 J.

Kinetic Energy (KE) = 0.5 × m × v² = 0.5 × 3 kg × (15 m/s)² = 0.5 × 3 × 225 = 337.5 J.

Using h = v²/(2g) = (20 m/s)² / (2 × 10 m/s²) = 20 m.

If the object moves with constant velocity, the net force acting on it is 0 N.

Using the formula: v = u + at, where u = 0, a = 2 m/s², t = 5 s. v = 0 + 2 * 5 = 10 m/s.

Distance = speed * time = 10 m/s * 15 s = 150 m.

Distance = speed * time = 20 m/s * 15 s = 300 m.

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.