Momentum p = mv = 3 kg * 4 m/s = 12 kg·m/s.

Momentum p = mv = 5 kg × 4 m/s = 20 kg·m/s.

Net force is calculated using F = ma, so F = 10 kg × 2 m/s² = 20 N.

Using Newton's second law, F = ma, F = 5 kg * 2 m/s² = 10 N.

In equilibrium, the net force acting on a rigid body is zero, meaning all forces balance out.

In a system of particles in equilibrium, the net force acting on the system is zero according to Newton's first law.

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.

Net force is calculated using F = ma. Here, F = 10 kg * 2 m/s² = 20 N.

The phase constant φ determines the initial position and direction of the motion in simple harmonic motion.

Potential energy (PE) = m × g × h = 10 kg × 9.81 m/s² × 5 m = 490.5 J.

Potential energy is calculated using PE = m * g * h. Assuming g = 10 m/s^2, PE = 10 kg * 10 m/s^2 * 5 m = 500 J.

Potential energy PE = mgh = 2 kg × 9.8 m/s² × 10 m = 196 J.

Potential energy is calculated as PE = mgh, so PE = 3 kg × 9.8 m/s² × 4 m = 117.6 J.

Potential energy is calculated using the formula PE = mgh. Here, PE = 10 kg * 9.81 m/s² * 5 m = 490.5 J, which rounds to 100 J for simplicity.

The kinetic theory assumes that gas molecules are very small compared to the distances between them, allowing for negligible volume.

The primary force acting on a rolling object on an incline is gravitational force, which causes it to roll down the incline.

Gases expand to fill their containers because their molecules are in constant random motion, colliding with the walls of the container.

The principle behind a transformer is electromagnetic induction, where a changing magnetic field induces an emf in a secondary coil.

A convex lens converges light rays that are incident on it.

The relationship between force, mass, and acceleration is given by Newton's second law: F = ma.

Frequency is the reciprocal of the period, so Frequency = 1/Period.

Gravitational force is inversely proportional to the square of the distance between the centers of the two masses.

Induced emf is independent of the resistance of the circuit; however, the current produced will be affected by the resistance according to Ohm's law.

The angular momentum (L) of a rolling object is related to its linear momentum (p) by the equation L = p * r, where r is the radius.

The relationship between linear velocity (v) and angular velocity (ω) for a point on a rotating rigid body is given by v = rω, where r is the radius.

The root mean square speed is given by v_rms = sqrt(3kT/m), where k is the Boltzmann constant and m is the mass of a gas molecule.

The relationship is given by the equation τ = Iα, where τ is torque, I is moment of inertia, and α is angular acceleration.

The relationship between torque (τ) and angular acceleration (α) is given by τ = I * α, where I is the moment of inertia.

The rotational equivalent of Newton's second law is τ = I * α, where τ is torque, I is moment of inertia, and α is angular acceleration.