An object of mass completely immersed in fluid of density 800 kg/m qub Displace 2liters of water What is the bayant force acting on the object (g=10m/s square )
May 22, 2023Bro take it easily Buoyant Force= density of the fluid × gravity × volume of displaced fluid in m³ So we have to change 2 litre into m³ 1m³=1000L So 2L=0.002m³ Buoyant Force = 800kg/m³ × 0.002m³ × 10m/s² =16 N
May 23, 2023To calculate the buoyant force acting on the object, we can use Archimedes' principle, which states that the buoyant force on an object is equal to the weight of the fluid displaced by the object. In this case, the object of mass m is completely immersed in a fluid of density ρ = 800 kg/m^3, and it displaces 2 liters (or 0.002 m^3) of water. The weight of the displaced water is given by: w = m_water * g where m_water is the mass of the displaced water, and g is the acceleration due to gravity (g = 10 m/s^2). Since the density of water is 1000 kg/m^3, the mass of the displaced water is: m_water = ρ_water * V where V is the volume of the displaced water. Substituting the values, we get: m_water = 1000 kg/m^3 * 0.002 m^3 = 2 kg Therefore, the weight of the displaced water is: w = 2 kg * 10 m/s^2 = 20 N According to Archimedes' principle, the buoyant force acting on the object is equal to the weight of the displaced water, which is 20 N.
May 22, 2023First, let's calculate the volume of the object using the information given. We know that the object displaces 2 liters of water, which is equivalent to 0.002 m³. We can use the formula for volume to find the volume of the object: V_object = V_fluid displaced where V_object is the volume of the object and V_fluid displaced is the volume of fluid displaced by the object. So, we get: V_object = V_fluid displaced V_object = 0.002 m³ Now, let's calculate the buoyant force acting on the object using the formula for buoyancy: B = ρ * V * g, where B is the buoyant force, ρ is the density of the fluid, V is the volume of the object, and g is the acceleration due to gravity. We know that the density of the fluid is 800 kg/m³ and g is 10 m/s², so we get: B = ρ * V * g B = 800 kg/m³ * 0.002 m³ * 10 m/s² B = 16 N Therefore, the buoyant force acting on the object is 16 N.
May 22, 2023To calculate the buoyant force acting on an object immersed in a fluid, you need to use Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object. Given: Density of the fluid (ρf) = 800 kg/m³ Volume of water displaced (V) = 2 liters = 0.002 m³ Acceleration due to gravity (g) = 10 m/s² First, let's find the mass of the water displaced: Mass of water (m) = Density of water (ρw) * Volume of water displaced (V) The density of water is approximately 1000 kg/m³, assuming it's pure water. So, m = 1000 kg/m³ * 0.002 m³ = 2 kg Next, we can calculate the weight of the water displaced: Weight of water (W) = mass of water (m) * acceleration due to gravity (g) W = 2 kg * 10 m/s² = 20 N Therefore, the buoyant force acting on the object is equal to the weight of the water displaced, which is 20 Newtons.
May 22, 2023To calculate the buoyant force acting on the object, we need to use Archimedes' principle, which states that the buoyant force on an object is equal to the weight of the fluid displaced by the object. Given: Density of fluid (ρf) = 800 kg/m^3 Volume of water displaced (V) = 2 liters = 0.002 m^3 Acceleration due to gravity (g) = 10 m/s^2 First, we need to find the mass of water displaced by the object: Mass of water displaced (m) = Density of water x Volume of water displaced Density of water = 1000 kg/m^3 (at room temperature and pressure) m = 1000 kg/m^3 x 0.002 m^3 = 2 kg Next, we can find the weight of the water displaced: Weight of water displaced (W) = mass x g W = 2 kg x 10 m/s^2 = 20 N Finally, the buoyant force acting on the object is equal to the weight of the water displaced: Buoyant force (Fb) = W = 20 N Therefore, the buoyant force acting on the object is 20 N.
May 22, 2023We can use Archimedes' principle to find the buoyant force acting on the object: Buoyant force = weight of fluid displaced First, let's convert 2 liters of water to its equivalent volume in cubic meters: 1 liter = 0.001 cubic meters 2 liters = 0.002 cubic meters So the object displaces 0.002 cubic meters of water. Next, we can find the weight of this volume of water: mass = density x volume mass = 1000 kg/m^3 x 0.002 m^3 mass = 2 kg weight = mass x gravity weight = 2 kg x 10 m/s^2 weight = 20 N Therefore, the buoyant force acting on the object is also 20 N, since it displaces an equal weight of fluid.
May 22, 2023