The value of the acceleration of gravity at any latitude is given by g = 9.7087(1

The value of the acceleration of gravity at any latitude φ is given by g = 9.7087(1 + 0.0053 sin2 φ) m/s2, where the effect of the rotation of tbhye earth as well as the fact that the earth is not spherical have been taken into account. Knowing that the mass of a gold bar has been officially designated as 2 kg, determine to four significant figures its mass in kilograms and its weight in newtons at a latitude of

(a) 0° ,

(b) 45° ,

(c) 60°.