200 gram cube is moved by a 100 gram water filled Styrofoam cup
To answer this question, we need to consider the concept of buoyancy. Buoyancy is the upward force exerted on an object immersed or partially submerged in a fluid (in this case, water). This force is equal to the weight of the fluid displaced by the object.
The 200-gram cube is being moved by the 100-gram water-filled Styrofoam cup. Let's assume that the density of the cube is higher than that of water, which means it is denser and sinks when placed in water initially.
To find out if the cube will float or sink in the water-filled cup, we need to compare the weight of the cube with the buoyant force. Here's how you can calculate it:
1. Calculate the weight of the cube: Multiply the mass of the cube (200 grams) by the acceleration due to gravity (approximately 9.8 m/s^2). This will give you the weight of the cube in Newtons.
Weight of the cube (W_cube) = mass of the cube (m_cube) × acceleration due to gravity (g)
2. Calculate the buoyant force: The buoyant force is equal to the weight of the fluid displaced by the cube. In this case, the fluid is water.
Buoyant force (F_buoyant) = weight of the water displaced by the cube
3. Compare the weight of the cube with the buoyant force: If the weight of the cube is greater than the buoyant force, it will sink. If the weight is less than the buoyant force, it will float.
If W_cube > F_buoyant, the cube sinks.
If W_cube < F_buoyant, the cube floats.
By following these steps and performing the calculations, you can determine whether the 200-gram cube will sink or float when moved by the 100-gram water-filled Styrofoam cup.