Shortcut Methods
Numerical Shortcuts :
- For Gravitational Force:
- Remember the formula - $$F = \frac{Gm_1m_2}{r^2}$$
- The value of G (gravitational constant) = 6.67×10-11 N·m2/kg2
- For Orbital Velocity:
- $$v =\sqrt{GM/r}$$
- Remember that the orbital velocity is the velocity required by a satellite to remain in orbit around a planet or other celestial body.
- Use the value of G (6.67×10-11 N·m2/kg2) and substitute the masses and distances appropriately.
- Motion under Gravity:
- Remember the equation:
- For Maximum height: $$v^2 = u^2 + 2as$$
- For Force acting $$F = mg$$
-
Buoyant Force:
- Use the formula: $$F_b = \rho ghV $$
- ρ is the density of the fluid,
- g is the acceleration due to gravity and
- V is the volume of the object submerged in the fluid.
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For Density, remember the formula:
- ρ = m/V
- ρ is the density,
- m is the mass, and
- V is the volume.
