a string supports a solid iron object of mass 180g totally immersed in liquid of density 800kg/m3. calculate the tension in the string if the density of iron is 8000kg/m3.
volume= mass/density=0.180/8000=2.25x10^-5
f=(m-pv)g=(o.180-0.018)10+1.62 N
Use the same equation as before:
F=(m-ρv)g N
where v=volume of the iron object, and
v=m/8000 m³
Be sure to convert all values into SI units.
Is it correct
reply
3.24
I really don't understand
To calculate the tension in the string, we need to determine the weight of the iron object and the buoyant force acting on it submerged in the liquid.
Step 1: Calculate the weight of the iron object.
The weight can be found using the formula:
Weight = mass × acceleration due to gravity
The mass of the iron object is 180g, which is equal to 0.18kg (since 1kg = 1000g). The acceleration due to gravity is approximately 9.8 m/s^2.
Weight = 0.18kg × 9.8 m/s^2 = 1.764 N
Step 2: Calculate the buoyant force on the iron object.
The buoyant force is the force exerted on the object when it is immersed in a fluid and is equal to the weight of the fluid displaced by the object.
The volume of the iron object can be calculated using the formula:
Volume = mass / density
The density of the liquid is given as 800 kg/m^3, and the density of iron is 8000 kg/m^3.
Volume = 0.18kg / 8000 kg/m^3 = 0.0000225 m^3
The buoyant force can be calculated using the formula:
Buoyant force = density of the fluid × gravity × volume
Buoyant force = 800 kg/m^3 × 9.8 m/s^2 × 0.0000225 m^3 = 0.1764 N
Step 3: Calculate the tension in the string.
The tension in the string is equal to the difference between the weight of the iron object and the buoyant force acting on it.
Tension = Weight - Buoyant force
Tension = 1.764 N - 0.1764 N = 1.5876 N
Therefore, the tension in the string is approximately 1.5876 N.