# Displacement of fluids when mass is submerged

1. A mass is hung on a scale and while hanging the mass is submerged in water. The scale read .45 kg when submerged. When the mass is submerged the water displaced is 100 cm^3. What is the magnitude of the mass?

2. A car with windows closed floats in water when 50% submerged. If 1 m^3 of water seeps into the car it becomes totally submerged. What is the mass of the car?

Â© BrainMass Inc. brainmass.com December 24, 2021, 7:54 pm ad1c9bdddfhttps://brainmass.com/physics/applied-physics/displacement-fluids-mass-submerged-227851

## SOLUTION This solution is **FREE** courtesy of BrainMass!

1. 0.45 Kg = 450 g

Weight in water(apparent weight) = actual weight - weight of water displaced(loss in weight)

450 g = M - 100 g ... ( 100 cm^3 of water weighs 100g )

M = 450 + 100

= 550 g

= 0.55 Kg

The mass is 0.55 Kg.

2. Floating bodies displace their own weight of liquid.

Mass of car = Mass of water displaced

= {50% of V}*density of water ... ( Volume of car V )

= (V/2)*1000

= 500 V Kg ............ (1)

Mass of car + mass of water that seeped in = weight of water displaced by the car

Mass of car + mass of water that seeped in = V*1000 ..... (V*1000 Kg is mass of water displaced)

(applying again law of flotation i.e. floating body displaces its own weight of liquid )

500V + 1000 = 1000V .... (1m^3 of water weighs 1000Kg) ....... {mass of car 500 V , from (1) }

1000V - 500V = 1000

500V = 1000

V = 2 m^3

Volume of car = 2 m^3

Mass of car = 500 V ............. {from (1)}

= 500*2

= 1000 Kg

https://brainmass.com/physics/applied-physics/displacement-fluids-mass-submerged-227851