Further Mechanics
THE GOALS:
- use the expression p = mv
- investigate and apply the principle of conservation of linear momentum to problems in one dimension
- investigate and relate net force to rate of change of momentum in situations where mass is constant (Newton’s second law of motion)
- derive and use the expression Ek= p^2/2m for the kinetic energy of a non-relativistic particle
- analyse and interpret data to calculate the momentum of (non-relativistic) particles and apply the principle of conservation of linear momentum to problems in one and two dimensions
- explain and apply the principle of conservation of energy, and determine whether a collision is elastic or inelastic
- express angular displacement in radians and in degrees, and convert between those units
- explain the concept of angular velocity, and recognise and use the relationships v = ωr and T = 2π/ω explain that a resultant force (centripetal force) is required to produce and maintain circular motion
- use the expression for centripetal force F = ma = mv2/r and hence derive and use the expressions for centripetal acceleration a = v2/r and a = rω2