Momentum Class 9
Momentum:
Product of mass and velocity of a body is called momentum.
Momentum (p) = Mass (m) x Velocity (v)
Momentum is a vector quantity. It’s direction is same as that of velocity.
SI Unit of Momentum is kg m / s.
Graph between momentum and velocity:
- For a constant mass body, its momentum is directly proportional to the velocity of the body.
- p ∝ v
- Greater is the velocity of body greater will be its momentum.
- Slope of momentum Vs velocity graph represents mass of body.
Force and laws of motion 🖱️👉 NCERT in-text questions solution
Relation between Kinetic energy and momentum:
Expression for KE (K) = ½ mv2
Momentum p = mv ⇒ v = p/m
Putting value of v in KE formula
(K) = ½ mv2 = ½ m (p/m)2 = ½ (p)2/ m
2mK = p2
or p = √(2mk) This is the relation between KE and Momentum.