Angular acceleration α = τ/I = 5 N m / 15 kg m² = 0.33 rad/s².

A body moving in a circular path with constant speed experiences a centripetal force directed towards the center of the circle.

Angular velocity (ω) = 2π/T = 2π/5 = 1.25 rad/s.

The body experiences centripetal acceleration directed towards the center of the circle.

Angular momentum remains constant if no external torque acts.

Angular momentum L = Iω; if I is halved and ω remains constant, L remains L.

The body experiences centripetal acceleration directed towards the center of the circle.

The charge (Q) on a capacitor is given by Q = C * V. Here, Q = 10 µF * 5 V = 50 µC.

When a charged capacitor is short-circuited, the charge flows through the circuit, and the charge on the capacitor becomes zero.

When connected in parallel, charge redistributes, and the final voltage across both capacitors will be V/2.

The time constant τ of an RC circuit is given by τ = R * C.

Short-circuiting a capacitor allows charge to flow off, resulting in the charge becoming zero.

When a capacitor is short-circuited, the stored energy is dissipated as heat in the circuit.

In a DC circuit, the current through a capacitor decreases to zero as it becomes fully charged.

In an AC circuit, the current through a capacitor leads the voltage by 90 degrees.

When a charged capacitor is short-circuited, the stored energy is released as heat due to the current flow.

When a capacitor is fully discharged and connected to a voltage source, the initial current is maximum as it starts charging.

Charge (Q) on a capacitor is given by Q = C * V. Here, Q = 4μF * 12V = 48μC.

The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2.

The charge (Q) on a capacitor is given by Q = CV when connected to a voltage source V.

The charge (Q) stored in a capacitor is given by the formula Q = C * V.

Height = (2 × Surface Tension) / (Density × g × Radius) = (2 × 0.072 N/m) / (1000 kg/m³ × 9.81 m/s² × 0.0005 m) = 0.0144 m.

Acceleration a = (final velocity - initial velocity) / time = (20 m/s - 0) / 5 s = 4 m/s².

Power is the rate of doing work. Work done can be calculated as W = P * t. Here, P = 150 kW = 150000 W and t = 2 minutes = 120 seconds. Thus, W = 150000 W * 120 s = 18000000 J.

Static friction is responsible for providing the necessary centripetal force to keep the car moving in a circular path without skidding.

Using the formula: acceleration = (final velocity - initial velocity) / time. Acceleration = (0 - 30) / 5 = -6 m/s².

Deceleration = (final velocity - initial velocity) / time = (0 - 30) / 5 = -6 m/s².

Speed = distance/time = (100000 m)/(7200 s) = 27.78 m/s, approximately 20 m/s.

Total distance = 100 m + 150 m = 250 m. Total time = 10 s. Average speed = total distance / total time = 250 m / 10 s = 25 m/s.

Relative speed = 80 - 60 = 20 km/h. Distance apart after 1 hour = 20 km.