Volume = side³ = (2.5 cm)³ = 15.625 cm³. Considering significant figures, it is reported as 16.0 cm³.

Resistance is directly proportional to length; doubling the length doubles the resistance.

Young's modulus is a material property and does not change with the dimensions of the wire.

If the length is doubled, the area increases by a factor of four (A = length²).

If the length is doubled, the volume increases by a factor of 2^3 = 8, since volume is proportional to the cube of the length.

Increasing the length of the potentiometer wire while keeping the voltage constant will increase the balance point length for the same EMF.

Increasing the length of the potentiometer wire increases the maximum measurable voltage due to a larger potential gradient.

Torque is directly proportional to the lever arm; if the lever arm is doubled, the torque also doubles.

If the magnetic field around a closed loop is constant, the current through the loop must also be constant according to Ampere's Law.

In a uniform magnetic field, the magnetic field lines are straight and parallel.

The force on a charged particle is directly proportional to the magnetic field strength, so if the magnetic field strength is doubled, the force also doubles.

According to Faraday's law, the induced EMF is directly proportional to the rate of change of magnetic flux, which depends on the magnetic field strength.

The magnetic force on a charged particle is given by F = qvB sin(θ). If the magnetic field strength B is doubled, the force F also doubles, assuming charge q and velocity v remain constant.

Magnetic flux is given by the product of magnetic field strength and area. If the magnetic field is doubled, the magnetic flux also doubles.

According to Lenz's law, the induced current will flow in the opposite direction to oppose the increase in magnetic flux.

If the magnetic field is increasing at a constant rate, the induced EMF is also increasing, which means the induced current is increasing.

The gravitational force acting on the satellite will double if its mass is doubled, as gravitational force is directly proportional to mass.

The period T = 2π√(m/k). If m is doubled, T increases.

Gravitational potential energy U = m * V = 10 * (-30) = -300 J.

Gravitational potential energy U = mgh = 5 * 10 * 10 = 500 J.

The gravitational potential energy U = mgh will double if the mass m is doubled at constant height h.

Gravitational potential energy is directly proportional to mass and inversely proportional to distance, so it halves.

The gravitational potential energy U = mgh is directly proportional to the mass, so if the mass is halved, the potential energy also halves.

Percentage error = (absolute error / measured value) * 100 = (0.2 / 10.0) * 100 = 2%.

Percentage error = (absolute error / measured value) * 100 = (0.2 / 10.0) * 100 = 2%.

Percentage error = (absolute error / measured value) * 100 = (0.5 / 50) * 100 = 1%.

Gravitational potential energy U = mgh, so if mass is tripled, U also triples.

Gravitational potential energy is directly proportional to mass, so it triples.

Using g = G * M / R², where G = 6.67 x 10^-11 N m²/kg², M = 6 x 10^24 kg, and R = 6.4 x 10^6 m, we find g ≈ 9.8 m/s².

Using F = G * (m1 * m2) / r^2, F = (6.67 x 10^-11) * (6 x 10^24 * 1) / (6.4 x 10^6)^2 = 9.8 N.