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- Discovered by Frenchman Blaise Pascal, Pascal's law states that pressure applied anywhere in a confined incompressible fluid is transmitted equally in all directions throughout the fluid.

Scalar quantities have only magnitude and no direction. The other options (velocity, weight, acceleration due to gravity, and momentum) are vector quantities because they have both magnitude and direction.

power = IV power = \(\frac{V^2}{R}\) = 60 = \(\frac{240^2}{R}\) = 960\(\Omega\)

No expanded working has been attached for this question yet. The verified answer is Option C.

The total distance fallen is s = 40m - 0.8m = 39.2m u = 0m/s, v = ? , g = 9.8m/s\(^2\) Using: v\(^2\) = u\(^2\) + 2gs v\(^2\) = 0 + 2 x 9.8 x 39.2 v\(^2\) = 768.32 v = \(\sqrt{768.32}\) ≈ 27.7m/s.

Given \( a_X = 2a_Y \) and both start from rest covering the same distance \( s \): For X: \(s = a_Y t_X^2\) For Y: \(s = \frac{1}{2} a_Y t_Y^2\) Setting them equal: \(a_Y t_X^2 = \frac{1}{2} a_Y t_Y^2 \implies t_X^2 = \frac{1}{2} t_Y^2\) Thus: \(\frac{t_X}{t_Y} = \frac{1}{\sqrt{2}} \quad \Rightarrow \quad \frac{1}{\sqrt{2}}\)

Relative density of solid = \(\frac{\text{weight of solid}}{\text{weight of an equal volume of water}}\) \(\frac{4.8}{4.8 -3.2}\) = \(\frac{4.8}{2}\) = 2.4 Ratio of density of liquid = \(\frac{\text{weight of liquid kerosine}}{\text{weight of an equal volume of water}}\) = \(\frac{4.8 - 3.2}{4.8 - 2.8}\) = \(\frac{1.6}{2}\) = 0.8 = \(\frac{\text{density of solid}}{\text{density of kerosine}}\) = \(\frac{2.4}{0.8}\) = 3

Calculate the weight of the body: \(W = mg = 6 \, \text{kg} \times 10 \, \text{m/s}^2 = 60 \, \text{N}\) The limiting frictional force balances the component of weight acting down the incline: \(F = W \sin \theta\) Substituting the known values: \(30 = 60 \sin \theta\) Solving for \( \sin \theta \): \(\sin \theta = \frac{30}{60} = \frac{1}{2}\) The angle \( \theta \) corresponding to \( \sin \theta = \frac{1}{2} \) is: \(\theta = 30^\circ\) The angle of inclination \( \theta \) is \(30^\circ\).

A magnet is similar to a bipolar-charged system in that it has two distinct poles: a north pole and a south pole. Like a bipolar-charged system, which has positive and negative charges, a magnet exhibits opposite magnetic forces. The north pole of one magnet attracts the south pole of another magnet, while like poles repel each other.

Temperature: Measures how hot or cold something is based on the average movement of its particles, while Heat: The energy that moves between objects due to temperature differences. Different materials do require different amounts of heat to cause a given change in temperature, which is related to their specific heat capacities.

The water at the bottom of a waterfall is warmer than at the top because the conversion of potential energy to kinetic energy during the fall increases the water's internal energy and temperature.

When atmospheric pressure increases, the boiling point becomes higher, and when atmospheric pressure decreases (as it does when elevation increases), the boiling point becomes lower.

\(\frac{P_1V_1}{T_1}\) = \(\frac{P_2V_2}{T_2}\) = \(\frac{\frac{1}{3} \times 1.4 \times 10^5}{-133 + 273}\) = \(\frac{P_2\times31}{37 +273}\) P2 = 3.3 x 10

Total power = (15 x 40) + 600 = 1200 watts Energy(kWh) = \(\frac{1200}{1000}\) x 6 = 7.2 kwH

Tension = upthrust on object = weight in air - weight i liga = mg - pvg = (m - pv)g