$(i)$ Seema buys a few grains of gold at the poles as per the instructions of one of her friends. She hands over the same when she meets her at the equator. Will the friend agree with the weight of gold bought? If not,why?
$(ii)$ If the moon attracts the earth,why does the earth not move towards the moon?

(N/A) $(i)$ No,the friend will not agree. Weight is the force with which the earth attracts an object,given by the formula $W = m \times g$. Since the acceleration due to gravity $(g)$ is greater at the poles than at the equator,the weight of the same amount of gold will be less at the equator compared to the poles.
$(ii)$ According to Newton's third law of motion,the moon exerts an equal and opposite force on the earth. However,the earth does not move towards the moon because the mass of the earth is extremely large compared to the mass of the moon. According to Newton's second law $(F = m \times a)$,the acceleration produced is inversely proportional to the mass $(a = F / m)$. Thus,the acceleration of the earth is negligible.