A copper block of mass 0.5kg is hung from the thread and suspended in water. if the density of copper = 9*10^3kg/m^3 density of water =1*10^3kg/m^3. calculate the tension in the thread.
1/9 of the copper's mass is "supported" by the water
tension = 8/9 * g * 0.5 kg ... Newtons
To calculate the tension in the thread, we need to consider the buoyant force acting on the copper block when it is suspended in water.
The buoyant force is the upward force exerted by a fluid on an object immersed in it. It is equal to the weight of the fluid displaced by the object.
In this case, the copper block is immersed in water, so the buoyant force exerted on it is equal to the weight of the water displaced by the block. The weight of the water displaced is given by the equation:
Weight of water displaced = density of water × volume of water displaced × gravitational acceleration
The volume of water displaced is equal to the volume of the copper block, which can be calculated using the equation:
Volume of copper block = mass of copper block / density of copper
Finally, the tension in the thread can be calculated by equating the buoyant force to the weight of the copper block. The equation becomes:
Tension in the thread = weight of copper block - buoyant force
Now let's calculate the tension in the thread:
Step 1: Calculate the volume of the copper block
Volume of copper block = mass of copper block / density of copper
= 0.5kg / 9 * 10^3 kg/m^3
= 5.56 * 10^-5 m^3
Step 2: Calculate the weight of the water displaced
Weight of water displaced = density of water × volume of water displaced × gravitational acceleration
= 1 * 10^3 kg/m^3 × 5.56 * 10^-5 m^3 × 9.8 m/s^2
= 5.44 N
Step 3: Calculate the tension in the thread
Tension in the thread = weight of copper block - buoyant force
= 0.5 kg × 9.8 m/s^2 - 5.44 N
= 4.82 N
Therefore, the tension in the thread is 4.82 N.