To solve this we are going to use the formula fro the force applied to a spring:
where
is the spring constant
is the extension
Since we know the
, we can replace that in our formula and solve for
:
where
is the acceleration
is the spring constant
is the extension
is the mass
We know for our problem that
,
, and
. So lets replace those values in our formula to find
:
We can conclude that the acceleration of the block when s=0.4m is
.
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Volume of cone:
-------------------------------------------------
Volume = 1/3 πr²h
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Find Height:
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Given that the radius = 5 and the volume = 100, we will substitute these values into their respective variable and solve for height.
Volume = 1/3 πr²h
100 = 1/3 π (5)²h
h = 100 ÷ 1/3π(25)
h= 4 units (Nearest whole number)
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Answer: The height is 4 units.
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Answer: circumference
Step-by-step explanation: you’re welcome
Answer:
The equation of line with slope 
and points ( - 1 , 3 ) is y = x + 
Step-by-step explanation:
Given equation of a line as :
y = x + 3
The line equation is in the form of y = m x + c
Where m is the slope of the line
Now while comparing given line equation with standard line equation ,
So , slope of the line m =
∵ Another line is passing through points ( - 1 , 3 ) , and is parallel to given line
Now <u>if two lines are parallel then slope of both lines are equal </u>
Let The slope of another line = M
So, M = m =
∴ The equation of line with slope and passing through points ( - 1 , 3 ) is
y - 
= M × ( x - 
)
Or, y - 3 = × ( x + 1 )
or, 4 × ( y - 3 ) = 5 × ( x + 1 )
Or, 4 y - 12 = 5 x + 5
Or, 4 y = 5 x + 17
∴ y = x +
Hence The equation of line with slope and points ( - 1 , 3 ) is y = x + Answer
