The work needed to move a mass of 2.12 kg 47.1 m against a resistive force of 21.4 N is ___ J.

1007.94 J

Explanation:

Work done: This can be defined as the product of force and distance, along the direction of the force. The S.I unit of work is Joules (J) .

Form the question above,

W = F×d Equation 1

Where W = Work done, F = Resistive force, d = distance.

Given: F = 21.4 N, d = 47.1 m

Substitute these values into equation 1

W = 21.4(47.1)

W = 1007.94 J

the density of gold = 19.3 g/cm3

the relation between density and mass and volume is

density = mass / volume

given :

mass of gold = 13 g

density = 13g / volume = 19.3

volume = 13 /19.3 = 0.67 cm^3

thus volume of gold nugget = 0.67 cm^3