Use your data to predict what a 400g bag would weigh.
1 answer:
3.92N
Explanation:
Given mass:
Mass of bag = 400g
The mass of a substance is the amount of matter it contains.
Weight of a substance is the vertical force acting on a body in the presence of gravity.
Weight = mass x gravity
Since the mass of the bag is 400g;
Now we convert to kg
1000g = 1kg
400g = = 0.4kg
Weight of bag = 0.4kg x 9.8m/s²
Weight of bag = 3.92N
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Answer:
Explanation:
For this problem to be easier to calculate, we can represent the triangle as a right triangle whose right angle is located at the origin of a coordinate system. (See picture attached).
With this disposition of the triangle, we can start finding our integral. The hydrostatic force can be set as an integral with the following shape:
γhxdy
we know that γ=62.5 lb/
from the drawing, we can determine the height (or depth under the water) of each differential area is given by:
h=8-y
x can be found by getting the equation of the line, which we'll get by finding the slope of the line and using one of the points to complete the equation:
when substituting the x and y-values given on the graph, we get that the slope is:
once we got this slope, we can substitute it in the point-slope form of the equation:
which yields:
which simplifies to:
we can now solve this equation for x, so we get that:
with this last equation, we can substitute everything into our integral, so it will now look like this:
Now that it's all written in terms of y we can now simplify it, so we get:
we can now proceed and evaluate it.
When using the power rule on each of the terms, we get the integral to be:
By using the fundamental theorem of calculus we get:
When solving we get:
