**centripetal and Coriolis accelerations; Motion under a central force; Conservation of angular momentum,**

Questions:

**Q 1. **For a freely falling body from the height ‘h’ on the surface of the earth in the northern hemisphere with a latitude ‘θ’, show that the deviation of the body towards the east at the final stage is given by $\frac 1 3 w Cosθ(8h^3/g)^{1/2}$, where $\omega$ is the angular velocity of the earth and ‘g’ is the acceleration due to gravity. [ 15 marks]

**Q 2. **A particle describes a circular orbit under the influence of an attractive central force directed towards a point on the circle. Show that the force varies as the inverse fifth power of distance. [ 15 marks]

Video Solution: