A water bed has a dimension of 2m × 2m × 2m. The floor of the bed will tolerate an additional load of no more than 600N. Find the weight of the bed and determine whether it should be purchased.
Check the size of a water bad!
Is it really 2m x 2m x 2m?
If so, then
V=2• 2• 2 = 8 m^2 !!!!!!!!!!!!!
Density of water is D = 1000 kg/m^3, then
mg = DVg=1000• 8• 9.8=78400 N
To find the weight of the bed, we first need to calculate the volume of water it can hold.
The volume of the bed can be calculated by multiplying its dimensions:
Volume = Length × Width × Height
Volume = 2m × 2m × 2m = 8 cubic meters
Since 1 cubic meter of water weighs 1000 kg (or 1000 N), we can calculate the weight of the water bed:
Weight = Volume × Density of Water
Weight = 8 cubic meters × 1000 N/cubic meter = 8000 N
Now, we need to determine if the weight of the bed (8000 N) is within the tolerance limit of the floor (600 N). If the weight of the bed exceeds the floor's tolerance, it shouldn't be purchased.
Comparing the weight of the bed (8000 N) to the floor's load tolerance (600 N), we can see that the weight of the bed far exceeds the floor's tolerance. Therefore, it is not advisable to purchase the water bed as it would exceed the capacity of the floor.