A body is weighed by a spring balance to be 1.000 Kg at the north pole.How much will it weigh at the equator? Account for the earth's rotation only.

Assuming the earth to be a sphere of uniform mass density, how much would a body weigh half way down to the centre of the earth if it weighed 250 N on the surface ?

The earth's gravitational force an acceleration of 5ms^-2 on a 1kg mass somewhere in the space. How much will be the accleration of a 3kg mass at that place ?

Mohan deposits Rs. 2,000 in his bank account and withdraw Rs. 1,642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan's account after the withdrawal.

A 100 turn rectangular coil ABCD (in XY plane) is hung from one arm of a balance Fig. EP 4.23 A mass 500 g is added to the other arm to balance the weight of the coil. A current 4.9 A passes through the coil and a constant magnetic field of 0.2 T acting inward (in xz plane) is switched on such that only arm CD of length 1 cm lies in the field. how much additional mass 'm' must be added to regain the balance?

Earth can be thought of as a sphere of radius 6400 km.Any object (or a person) is pewrforming circular motion around the axis of the earth due to the earth rotation (period 1 day). What is acceleration of object on the surface of the earth (at equator) towards its centre? What is it at latitude theta ? How does these acceleration compare with g = 9.8 m//s^(2) ?

A bullet of mass 10 g and speed 500 m//s is fired into a door and gets embedded exactly at the centre of the door. The door is 1.0 m wide and weighs 12 kg. It is hinged at one end and rotates about a vertical axis practically without friction. Find the angular speed of the door just after the bullet embeds into it.