A solid of mass 1.3kg suspended by a string,is completely immersed in water. If tension in the string is 6.0. Find the upthrust of the solid
6•74
1.3 * 9.8 - 6.0 = ____
actually, the weight of the solid is pushing down. Any upthrust is provided by the water displaced.
7N
Well, let's see. A solid is completely immersed in water, so we need to account for the upthrust or buoyancy force acting on it. The upthrust is equal to the weight of the water displaced by the solid.
But before calculating the upthrust, let me ask you, how much does the solid weigh?
To find the upthrust, we need to first understand the concept of upthrust or buoyant force. Upthrust is the force experienced by a body when it is immersed in a fluid, such as water. It acts in the opposite direction to the force of gravity and is equal to the weight of the fluid displaced by the body.
In this case, the solid is completely immersed in water, which means that the volume of water displaced is equal to the volume of the solid. We can use this information to calculate the upthrust.
The weight of the solid is given by the equation:
weight = mass * gravitational acceleration
Where mass is given as 1.3 kg and gravitational acceleration is approximately 9.8 m/s^2. Therefore, the weight of the solid is:
weight = 1.3 kg * 9.8 m/s^2 = 12.74 N (rounded to two decimal places)
Now, let's calculate the upthrust using Archimedes' principle:
upthrust = weight of fluid displaced
The weight of the fluid displaced is the weight of an equivalent volume of water to the solid. Since water has a density of approximately 1000 kg/m^3, we can use the formula:
weight of fluid displaced = volume * density * gravitational acceleration
To find the volume of the solid, we need to know its density. Let's assume the density of the solid is 2000 kg/m^3. Therefore, we can use the equation:
mass = density * volume
Rearranging the equation, we find:
volume = mass / density
volume = 1.3 kg / 2000 kg/m^3 = 0.00065 m^3 (rounded to five decimal places)
Now, let's calculate the upthrust using the formula:
upthrust = volume * density * gravitational acceleration
upthrust = 0.00065 m^3 * 1000 kg/m^3 * 9.8 m/s^2 = 6.37 N (rounded to two decimal places)
Therefore, the upthrust on the solid is approximately 6.37 N.
mass of a solid is= 1.3kg
tension of a solid =1.3*10=13N
tension of the spring=6.0N
since is completely immersed in water the upthrust in the solid= tension of a solid- tension of the spring
U=13-6=7N