Horizontal component = F cos(θ) = 30 N × cos(60°) = 30 N × 0.5 = 15 N.

Angular momentum L = Iω = 2 kg·m² × 10 rad/s = 20 kg·m²/s.

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

Torque is calculated as τ = I * α, where I is the moment of inertia and α is the angular acceleration. Here, τ = 2 kg·m² * 3 rad/s² = 6 N·m.

Centripetal force F = mv²/r; if r is doubled, F is halved for constant speed.

On a frictionless surface, no net force is required to maintain constant velocity, so the force is 0 N.

Using Newton's law of gravitation, F = G(m1*m2)/r² = (6.674×10⁻¹¹)(10 kg)(10 kg)/(2 m)² = 50 N.

Kinetic energy KE = 0.5mv² = 0.5 × 2 kg × (3 m/s)² = 9 J.

Kinetic energy is calculated as KE = 0.5 * m * v². Here, KE = 0.5 * 2 kg * (3 m/s)² = 9 J.

In equilibrium, the net force acting on an object is zero, meaning all forces are balanced.

According to Newton's first law, an object in uniform motion has a net force of 0 N acting on it.