(1e) Consider block B which is made of a material which has a density of 2.00 kg/L. The mass of the brick is set to be the same as the wood, 3 kg (weight = 30 N). Since the density of the brick is greater than the density of water, 1 kg/L, the brick will sink in water. The new volume level in the container is VNEW = 101.5 L. The system is in equilibrium once it sinks to the bottom. There are three forces acting on the brick, the weight of the brick = 30 N, the buoyant force, and the support force (normal force) = 18 N. Determine the buoyant force acting on the brick. Fbuoyant in water =____ N (1f) What is the volume of fluid that is displaced when the brick is placed in the water? Remember that the original volume of water in the container is 100 L. In order to determine the volume of the fluid that is displaced, you must look at the volume of the fluid when the block is placed in the water and subtract 100 L.
Part 1 (look at activity1)
When answering these questions, the figures will be useful. This question previous had a PhET simulation that was manipulated to answer the questions. In this question, we will use gravity as 10 m/s2.
(1a) Consider a wooden block (Block A) of mass 3 kg (which has a weight of w = (3)x(10 m/s2) = 30 N). In Figure A, the block has not been placed in the container of water. The volume level of the water is 100 L. The density of this wooden block is 0.40 kg/L. Since the density of the block of wood is less than the density of water, 1 kg/L, the block of wood will float when placed in the container of water. Figure B shows the block of wood floating in the water. The water level of the fluid has risen to a value VNEW = 103 L. The block is in equilibrium and thus the sum of the force acting on the block must be equal to zero.
What is the buoyant force acting on the block when it is floating?
Fbuoyant in water = 30 N
(1b) What is the volume of fluid that is displaced when the block is placed in the water? Remember that the original volume of water in the container is 100 L. In order to determine the volume of the fluid that is displaced, you must look at the volume of the fluid when the block is placed in the water and subtract 100 L.
Vfluid displaced = 3 L
(1c) Suppose the block was moved into a fluid that had a higher density of ?fluid = 1.25 kg/L. The block is still floating and the sum of the force must be equal to zero. The new level of the fluid has risen to a value VNEW = 102.4 L compared to the original volume of 100 L. The buoyant force acting on the block will not change because the system is still in equilibrium and thus the buoyant force should be the same as part (1a). Record the buoyant force acting on the wooden block in the higher density fluid.
Fbuoyant in new fluid = 30 N
(1d) What is the volume of fluid that is displaced when the block is placed in the higher density fluid from part (c)? Remember that the original volume of water in the container is 100 L. In order to determine the volume of the fluid that is displaced, you must look at the volume of the fluid when the block is placed in the water and subtract 100 L.
Vfluid displaced = ____ L
Part 2 (look at Consider the same questions as above when the block sinks picture)
(1e) Consider block B which is made of a material which has a density of 2.00 kg/L. The mass of the brick is set to be the same as the wood, 3 kg (weight = 30 N). Since the density of the brick is greater than the density of water, 1 kg/L, the brick will sink in water. The new volume level in the container is VNEW = 101.5 L. The system is in equilibrium once it sinks to the bottom. There are three forces acting on the brick, the weight of the brick = 30 N, the buoyant force, and the support force (normal force) = 18 N.
Determine the buoyant force acting on the brick.
Fbuoyant in water =____ N
(1f) What is the volume of fluid that is displaced when the brick is placed in the water? Remember that the original volume of water in the container is 100 L. In order to determine the volume of the fluid that is displaced, you must look at the volume of the fluid when the block is placed in the water and subtract 100 L.
Vfluid displaced = ___ L
(1g) Suppose the same block (Block B) was moved into a fluid that had a higher density of ?fluid = 1.25 kg/L. The block is sinks and the sum of the force must be equal to zero once the block reaches the bottom. The new level of the fluid has risen to a value VNEW = 101.5 L compared to the original volume of 100 L. There are three forces acting on the brick, the weight of the brick = 30 N, the buoyant force, and the support force (normal force) = 11.25 N.
What is the buoyant force on the block in the new fluid?
Fbuoyant in new fluid = ___ N
(1h) What is the volume of fluid that is displaced when the brick is placed in the sea water from part (g)? Remember that the original volume of water in the container is 100 L. In order to determine the volume of the fluid that is displaced, you must look at the volume of the fluid when the block is placed in the water and subtract 100 L.
Vfluid displaced = ___ L
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
