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Physics Formula KSSM

Physics Formula KSSM - Formula Quest Mania

Comprehensive Guide on KSSM Physics Formulas

In Malaysia, the KSSM (Kurikulum Standard Sekolah Menengah) syllabus for physics is designed to provide students with a deep understanding of physical concepts and principles. This article explores key KSSM physics formulas, explains their applications, and provides examples to aid learning.

1. Motion Formulas

Motion is a fundamental concept in physics. It describes the change in position of an object over time. The following are key motion formulas used in the KSSM syllabus:

1.1. Speed, Velocity, and Acceleration

  • Speed: Speed is the rate at which an object covers distance. It is a scalar quantity and given by the formula:

$$ \text{Speed} = \frac{\text{Distance}}{\text{Time}} $$

  • Velocity: Velocity is the rate of change of displacement. It is a vector quantity and given by:

$$ \text{Velocity} = \frac{\text{Displacement}}{\text{Time}} $$

  • Acceleration: Acceleration is the rate of change of velocity. It is calculated using:

$$ a = \frac{\Delta v}{t} $$

Where \( a \) is acceleration, \( \Delta v \) is the change in velocity, and \( t \) is the time taken.

Example of Motion Calculation

A car accelerates from rest to a velocity of 20 m/s in 10 seconds. The acceleration of the car can be calculated as:

$$ a = \frac{20 \text{ m/s} - 0 \text{ m/s}}{10 \text{ s}} = 2 \text{ m/s}^2 $$

2. Force and Newton's Laws of Motion

Force is an interaction that changes the motion of an object. Newton's laws of motion describe how forces affect the motion of objects.

2.1. Newton's Second Law of Motion

Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. The formula is:

$$ F = ma $$

Where \( F \) is the net force, \( m \) is the mass of the object, and \( a \) is the acceleration.

Example of Force Calculation

A 5 kg object is subjected to a force of 10 N. The acceleration of the object is:

$$ a = \frac{F}{m} = \frac{10 \text{ N}}{5 \text{ kg}} = 2 \text{ m/s}^2 $$

3. Energy, Work, and Power

Energy is the capacity to do work, while power is the rate at which work is done.

3.1. Work Done

Work is done when a force is applied to an object, and the object moves in the direction of the force. The formula is:

$$ W = Fd \cos \theta $$

Where \( W \) is the work done, \( F \) is the force applied, \( d \) is the displacement, and \( \theta \) is the angle between the force and displacement.

3.2. Kinetic Energy

Kinetic energy is the energy possessed by an object due to its motion. It is given by:

$$ KE = \frac{1}{2} mv^2 $$

3.3. Potential Energy

Potential energy is the energy possessed by an object due to its position. It is given by:

$$ PE = mgh $$

Where \( PE \) is potential energy, \( m \) is mass, \( g \) is the gravitational acceleration, and \( h \) is height above a reference point.

3.4. Power

Power is the rate of doing work. It is given by:

$$ P = \frac{W}{t} $$

Where \( P \) is power, \( W \) is work done, and \( t \) is time taken.

Example of Energy and Power Calculation

An object of mass 10 kg is lifted to a height of 5 m. The potential energy of the object is:

$$ PE = mgh = 10 \times 9.8 \times 5 = 490 \text{ J} $$

If this work is done in 2 seconds, the power is:

$$ P = \frac{W}{t} = \frac{490}{2} = 245 \text{ W} $$

4. Waves and Sound

Waves are disturbances that transfer energy from one point to another. Sound is a type of wave that propagates through a medium.

4.1. Wave Equation

The wave equation relates the speed of a wave to its frequency and wavelength:

$$ v = f \lambda $$

Where \( v \) is the wave speed, \( f \) is the frequency, and \( \lambda \) is the wavelength.

Example of Wave Calculation

A sound wave has a frequency of 500 Hz and a wavelength of 0.68 m. The speed of the wave is:

$$ v = f \lambda = 500 \times 0.68 = 340 \text{ m/s} $$

Conclusion

This article provides a comprehensive overview of key KSSM physics formulas, including those for motion, force, energy, work, power, and waves. Understanding these formulas and their applications is essential for mastering physics concepts and solving real-world problems effectively. Practice regularly with these formulas to strengthen your physics knowledge.

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