The force on a current-carrying conductor in a magnetic field is given by F = BIL sin(θ), where θ is the angle between the conductor and the magnetic field.

The force on a charge moving in a magnetic field is maximum when the angle θ between the velocity vector and the magnetic field is 90°, as sin(90°) = 1.

The force on a charge moving in a magnetic field is given by F = qvB sin(θ), where q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.

The formula for gravitational force is F = G(m1m2)/r², where G is the gravitational constant.

In a parallel RLC circuit, the total current is calculated using I = V/(1/R + 1/X), where X is the total reactance.

The average power P in an AC circuit is given by P = VI cos(φ), where φ is the phase angle.

The average power consumed in an AC circuit can be expressed as P = VI, P = V²/R, and P = I²R.

The resonant frequency f of an RLC circuit is given by f = 1/(2π√(LC)).

The total impedance in a parallel circuit is given by 1/Z = 1/Z1 + 1/Z2 + 1/Z3.

Frequency f = number of oscillations / time = 30 / 60 = 0.5 Hz.

Frequency = 1/Period = 1/0.01 s = 100 Hz.

Frequency (f) = Number of vibrations / Time = 256 / 2 = 128 Hz.

Frequency f = 1/T = 1/0.01 s = 100 Hz.

Frequency f = 1/T = 1/0.1 s = 10 Hz.

Frequency (f) is the reciprocal of the period (T). Therefore, f = 1/T = 1/0.2 s = 5 Hz.

Frequency (f) = 1/Period (T) = 1/0.5 s = 2 Hz.

Frequency (f) = speed (v) / wavelength (λ) = 300 m/s / 3 m = 100 Hz.

Frequency (f) is given by the formula f = speed / wavelength. Here, f = 340 m/s / 2 m = 170 Hz.

g = G * M / r² = (6.67 × 10^-11) * (100) / (10²) = 6.67 × 10^-10 N/kg

Weight = mass * g = 50 kg * 9.8 m/s² = 490 N

Weight W = m * g = 50 kg * 9.8 m/s² = 490 N.

F = G * (m1 * m2) / r² = (6.67 × 10^-11) * (1 * 1) / (1²) = 6.67 × 10^-11 N

Using the formula F = G * (m1 * m2) / r², we have F = (6.67 × 10^-11) * (5 * 10) / (2²) = 1.67 × 10^-10 N.

The gravitational force is given by Newton's law of gravitation: F = G * (m1 * m2) / r^2.

Gravitational potential energy (PE) is given by PE = mgh. Here, PE = 10 kg * 9.81 m/s² * 10 m = 981 J.

Gravitational potential energy (PE) = m * g * h = 10 kg * 9.81 m/s² * 5 m = 490.5 J.

Gravitational potential energy (PE) is given by the formula PE = mgh. Here, PE = 10 kg * 9.8 m/s² * 10 m = 980 J, which rounds to approximately 1000 J.

Gravitational potential energy (PE) is given by PE = mgh. Here, m = 10 kg, g = 9.8 m/s², and h = 5 m. PE = 10 * 9.8 * 5 = 490 J.

Gravitational potential energy (PE) = mgh = 2 kg × 9.8 m/s² × 10 m = 196 J.

Gravitational potential energy (PE) = m * g * h = 5 kg * 9.8 m/s² * 10 m = 490 J.