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OR When a coin is tossed twice, the sample space is given by S ={HH HT TH TT} and the event of obtaining at least a head is provided by A ={HH HT TH}. Therefore the probability of getting at least a head is given by: P = n(A) \div n(S) P = 3 \div 4 P = 0.75

volumetric expansion (γ) = 3x Linear expansion

Specific latent heat of fusion of a substance is the quantity of heat required to convert the unit mass of the substance from the solid to the liquid state without change in temperature.

where force = f, mass = m, acceleration = a, velocity = v, time = t Force = m * a → m * \(\frac{\Deltav}{t}\) Power = f * v P = m * \(\frac{v}{t}\) * v = m * \(\frac{v^2}{t}\) p = \(\frac{1600 * 25^2}{20}\) p = 50,000 or 50 KW

Examples of first class levers are pliers, scissors, a crow bar, a claw hammer, a see-saw and a weighing balance. A wheelbarrow, a bottle opener, and an oar are examples of second class levers

S = ut + \(\frac{1}{2}\)at\(^2\) 40 = 0 x 10 + \(\frac{1}{2}\)a x 10\(^2\) 50a = 40 a = \(\frac{40}{50}\) = 0.8m/s\(^2\)

Tire treads provide your tires the ability to grip the road safely enhancing proper traction. Helps your vehicle to be able to accelerate smoothly and as well to be able to brake more quickly.

A body sliding down a plane inclined at 30o to the horizontal, Has coefficient of friction = tan 30º or \(\frac{1}{\sqrt3}\)

elastic potential energy[Ee] = \(\frac{1}{2} ke^2\).

Examples of scalar quantities are mass, energy, distance, charge, volume, time, speed, and the magnitude of physical vectors in general.

The model, called the kinetic theory of gases, assumes that the molecules are very small relative to the distance between molecules. The molecules are in constant, random motion and frequently collide with each other and with the walls of any container.

pressure = p, depth/height = h, density = d, gravity = g p = hdg \(\frac{p}{dg} = h\) \(\frac{9100}{10 * 2000} = h\) 0.455m

The graph of pressure (P) against the reciprocal of the volume (I/V) is a straight line passing through the origin.

The height of the mercury column serves as an indicator of atmospheric pressure. At sea level and at a temperature of 0^\circ Celsius (C), the height of the mercury column is approximately 30 inches, or 76 centimeters. This represents a pressure of approximately 14.7 psia. The 30-inch column is used as a reference standard.

A sea breeze describes a wind that blows from the ocean inland towards land. This breeze occurs most often in the spring and summer months because of the greater temperature differences between the ocean and nearby land, particularly in the afternoon when the land is at maximum heating from the sun.