Class notes Physics 11 class
Complete handwritten solved numericals of *1st Year Physics Chapter 2**" * *Note:** This document contains only the solutions / answers to the numerical problems. The questions are not included in this PDF."* questions nahi likhe hue. Numerical (3):* If |A+B| = |A-B| proves that A is perpendicular to B. Proof: √(A²+B²+2A·B) = √(A²+B²-2A·B) = 4A·B=0 = AB cosθ=0 = θ=90°. *Numerical (4 & 10):* Mass distribution and Trolley Collision - Elastic and Inelastic collision discussion. m1=1.0kg, m2=1.0kg, v1=1.0ms⁻¹, v2=0. After elastic collision velocities interchange, after inelastic combined mass M=2kg and Vf=0.5ms⁻¹. Momentum conserved proof. *Numerical (9):* Range of Projectile for complementary angles. Proof that R1 = R2 for θ1=θ and θ2=90-θ. Formula R = Vi² sin2θ / g. Proved that sin(180-2θ)=sin2θ so range remains same. *Other:* Quadratic equation solving for time of flight: 4.9t² - 19.6t - 156.8 = 0 using formula t = [-b ± √(b²-4ac)]/2a. Best for quick revision and practice with neat handwriting, ideal for FSc Part 1 and One Paper exams preparation.
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