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Physics cbsc class 9th notes of chapter 1st Very good 👍 👏 👌
Typology: Summaries
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Everything around us is either at rest or in motion. When an object changes its position with respect to time and a fixed reference point, it is said to be in motion. If it does not change its position, it is said to be at rest. Example: A parked bus is at rest with respect to the road but in motion with respect to a person in a moving car. Thus, rest and motion are relative terms.
(a) Linear or Translatory Motion – Object moves in a straight or curved path. Example: moving train. (b) Circular Motion – Object moves along a circular path. Example: fan blades, planets. (c) Oscillatory or Vibratory Motion – Back and forth motion about a mean position. Example: pendulum. (d) Rotational Motion – Object spins around a fixed axis. Example: spinning top.
Distance is the total path covered by an object, while displacement is the shortest distance between initial and final position. Distance is scalar, displacement is vector. Displacement can be zero, positive, or negative. Displacement ≤ Distance always. Example: A person walks 4 m east and then 3 m west: Distance = 7 m, Displacement = 1 m east.
Speed is distance per unit time. Velocity is displacement per unit time in a given direction. Speed is scalar, velocity is vector. Types of speed/velocity: uniform, non-uniform, and average. Formulas: Speed = distance/time; Velocity = displacement/time.
Acceleration is the rate of change of velocity with time: a = (v - u)/t. Positive acceleration means increasing speed, negative acceleration (retardation) means decreasing speed. Units: m/s². Example: A car increases its velocity from 20 to 40 m/s in 4 s ⇒ a = 5 m/s².
Distance-time graph: Straight line → Uniform motion, Curved → Non-uniform, Horizontal → Rest. Velocity-time graph: Straight line → Uniform acceleration, Area under graph → Distance covered, Slope → Acceleration.
For constant acceleration: (1) v = u + at (2) s = ut + ½at² (3) v² = u² + 2as Derived from the velocity–time graph where area under the line gives displacement.
An object moving in a circle at constant speed undergoes uniform circular motion. Even though speed is constant, velocity changes due to changing direction. Centripetal acceleration acts toward the center: a = v²/r. Examples: motion of moon, electrons, or car turning on a curved track.
Distance – Scalar, unit: m. Displacement – Vector, unit: m. Speed – Scalar, unit: m/s. Velocity – Vector, unit: m/s. Acceleration – Vector, unit: m/s². Speed can’t be negative; velocity can.
Example 1: A car moves with initial velocity 5 m/s and final velocity 25 m/s in 4 s. Acceleration = (25 - 5)/4 = 5 m/s². Distance = ut + ½at² = 5×4 + ½×5×4² = 60 m. Example 2: A body is thrown upward with velocity 20 m/s. At top, v = 0, using v² = u² - 2gh ⇒ h = 20.4 m. Time to reach top = u/g = 2.04 s.
Speed = s/t (m/s) Velocity = ∆s/t (m/s) Acceleration = (v - u)/t (m/s²) v = u + at s = ut + ½at² v² = u² + 2as Centripetal acceleration = v²/r (m/s²)