1.

The weights of two objects one lying at the equator and the other at latitude 45^(@) on earth and 100 N each. If the angular velocity of rotation of earth increases such that the object at the equator becomes weightless (zero N), the weight of the object at latitude 45^(@) will be

Answer»

100 N
50 N
25 N
0 N

Solution :`g_(PHI)=g-Romega^(2)cos^(2)phi`
`g_(phi)=g-(Romega_(1)^(2))/(2)`
For weightlessness condition at the equation `omega_(1)=sqrt((g)/(R))`
`g_(phi)=g-(R)/(2)=(g)/(2)`
`W=mg_(phi)=(MG)/(2)=(100)/(2)=50N.`


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