**Further Mechanics**

Designed by Dr T. Marlow

## Specification:73 use the expression
p = mv74 investigate and apply the principle of conservation of linear momentum to problems in one dimension Use of, for example, light gates and air track to investigate momentum. 75 investigate and relate net force to rate of change of momentum in situations where mass is constant (Newton’s second law of motion). Use of, for example, light gates and air track to investigate change in momentum. 76 derive and use the expression Ek = p^2/(2m) for the kinetic energy of a non-relativistic particle77 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 78 explain and apply the principle of conservation of energy, and determine whether a collision is elastic or inelastic 79 express angular displacement in radians and in degrees, and convert between those units 80 explain the concept of angular velocity, and recognise and use the relationships v = ωr and T = 2π/ω81 explain that a resultant force (centripetal force) is required to produce and maintain circular motion 82 use the expression for centripetal force F = ma = mv^2/r and hence derive and use the expressions for centripetal acceleration a = v^2/r and a = rω^2. Investigate the effect of m, v and r of orbit on centripetal force |