Pascal = N/m² = kg/(m·s²) = J/m³. All these expressions are dimensionally equivalent representations of pressure, showing the fundamental relationship between force, area, and SI base units.
In vacuum, acceleration due to gravity is independent of mass. Both bodies experience the same gravitational acceleration (g ≈ 9.8 m/s²) and fall from the same height, so they reach the ground simultaneously.
In uniform circular motion, speed is constant but direction changes continuously. This change in direction causes centripetal acceleration always directed toward the center of the circle.
Momentum = mass × velocity = kg·m/s. Impulse = force × time = N·s = (kg·m/s²)·s = kg·m/s. Both have equivalent units.
Using transformer equation: V_s/V_p = N_s/N_p. Therefore V_s = V_p × (N_s/N_p) = 220 × (100/500) = 220 × 0.2 = 44 V.
The first law of thermodynamics (ΔU = Q - W) states that energy cannot be created or destroyed, only transferred. It is based on conservation of energy.
Vertical component of velocity: u_y = 20 sin(45°) = 20/√2 = 10√2 m/s. Maximum height h = u_y²/(2g) = (10√2)²/(2×10) = 200/20 = 10 m.
Ferromagnetism is the property of materials like iron, cobalt, and nickel to retain permanent magnetic properties due to aligned electron spins.
For parallel connection: 1/R = 1/6 + 1/3 + 1/2 = 1/6 + 2/6 + 3/6 = 6/6 = 1. Therefore R = 1Ω.
Work by gravity W = -mgh (negative because displacement is opposite to force direction). W = -5 × 10 × 10 = -500 J.