A wooden block is taken to the lake of water and then released. It ris...
**1. Constant Acceleration:**
When a wooden block is taken to the lake of water and released, it will initially sink due to its weight. However, as it sinks deeper into the water, it experiences an upward buoyant force that counteracts its weight. This buoyant force is given by Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object.
**Buoyant Force = Weight of the Fluid Displaced**
As the wooden block displaces water, the buoyant force gradually increases until it becomes equal to the weight of the block. At this point, the block stops sinking and starts to rise towards the surface of the water.
**The block experiences a constant acceleration as it rises to the surface.**
This constant acceleration is due to the net force acting on the block. The net force is the difference between the buoyant force and the weight of the block. Initially, the buoyant force is greater than the weight, resulting in an upward net force and acceleration. As the block rises, the buoyant force decreases slightly due to the decreasing volume of water displaced, but it remains greater than the weight, resulting in a constant acceleration.
**2. Decreasing Acceleration:**
Once the wooden block reaches the surface of the water, it is fully submerged and continues to rise with a decreasing acceleration. This decrease in acceleration is primarily due to the increasing resistance of the water as the block moves through it.
As the block rises, it displaces more and more water, which creates a greater resistance force against its upward motion. This resistance force, also known as drag, increases with the speed of the block. Consequently, the net force acting on the block decreases, resulting in a decreasing acceleration.
**3. Constant Velocity:**
After some time, the wooden block will reach a point where the drag force becomes equal to the buoyant force. At this point, the net force acting on the block becomes zero, and it continues to rise with a constant velocity.
When the block reaches a constant velocity, the upward buoyant force is equal to the downward force of gravity. The block no longer accelerates because the net force is zero. It continues to rise at a constant velocity until it reaches the water's surface.
**4. Decreasing Velocity:**
Once the wooden block reaches the water's surface, it is fully emerged and experiences a decreasing velocity. This decrease in velocity occurs because the buoyant force becomes less than the drag force.
As the block continues to rise above the water's surface, the volume of water displaced decreases, resulting in a decrease in the buoyant force. At the same time, the drag force remains relatively constant or even increases due to the block's increased speed. The net force acting on the block becomes negative, opposing its upward motion and causing a decrease in velocity.
Overall, the wooden block initially rises with a constant acceleration, then with a decreasing acceleration until it reaches the surface of the water, where it rises with a constant velocity. Finally, as it emerges from the water's surface, its velocity decreases due to the opposing drag force.
A wooden block is taken to the lake of water and then released. It ris...
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