Question

The world’s largest gold bar, worth ten million dollars in 2014, has a base measuring 46 cm ×
22 cm and exerts a pressure of 24 000 Pa on the surface it sits on.
a) Calculate the weight of the bar. Write your answer to two significant figures.
b) Calculate the mass of the bar. Write your answer to two significant figures.

Answer 1

Answer:

a} 2400 N

b}240 kg

Explanation:

Pressure is force per unit area.

Given from the question that;

The pressure = 24000 Pa

Area = 0.46 * 0.22 =0.1012 m²

Calculating force from the formula;

P= F/A where P is pressure, F is force and A is area then

F= P*A = 24000*0.1012 = 2428.8 N

a) The weight is 2400 N  in 2 significant figures

b) Mass is calculated from the formula;

w= m* g  where w is weight, m is mass and g is acceleration due to gravity

2400 =  m * 9.81

m= 2400/ 9.81

m= 244.64

m= 240 kg { in 2 significant figures}