A solid hass of 400g in air and partly immersed in a certain liquid it has a mass of 320kg .given that the relative density of the liquid is 0.80. Calculate the volume of the solid immersed in the liquid.
400g-320g = 80 g. of liquid displaced.
D = 0.8 * Dw = 0.8 * 1g/cm^3 = 0.8g/cm^3. = Density of the liquid.
Dw = Density of water.
V*D = 80g.
V * 0.8 = 80,
V = 100 cm^3 = Vol. of liquid disp. = Vol. of the solid immersed.
An answer to my question
To calculate the volume of the solid immersed in the liquid, we can use the principle of buoyancy.
First, let's find the buoyant force acting on the solid when it is immersed in the liquid. The buoyant force is equal to the weight of the liquid displaced by the solid.
1. Calculate the weight of the solid in air:
The weight of the solid in air can be calculated using the equation: weight = mass * gravitational acceleration.
weight = 400g * 9.8 m/s² (converting grams to kilograms by dividing by 1000)
weight = 0.4 kg * 9.8 m/s²
weight = 3.92 N
2. Calculate the weight of the liquid displaced by the solid:
The weight of the liquid displaced is equal to the weight of the solid in air minus the weight of the solid in the liquid.
weight of liquid displaced = weight of solid in air - weight of solid in the liquid
weight of liquid displaced = 3.92 N - 320 kg * 9.8 m/s² (converting kilograms to Newtons by multiplying by gravitational acceleration)
weight of liquid displaced = 3.92 N - 3136 N
weight of liquid displaced = -3132.08 N
3. Calculate the volume of the solid immersed in the liquid:
The volume of the solid immersed in the liquid is equal to the weight of the liquid displaced divided by the density of the liquid.
volume of solid immersed = weight of liquid displaced / density of the liquid
density of the liquid = relative density * density of water (assumed to be 1000 kg/m³)
density of the liquid = 0.8 * 1000 kg/m³
density of the liquid = 800 kg/m³ (given)
volume of solid immersed = -3132.08 N / 800 kg/m³
volume of solid immersed = -3.92 m³ (Note: The negative sign indicates an error in the calculations, as volume cannot be negative)
Since the volume cannot be negative, it appears there was an error in the calculations or the given information. Please double-check the values provided and ensure correct unit conversions were made.