2.
2 answers:
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The final velocity of the tool is 107.4 m/s
Explanation:
We can solve this problem by using the principle of conservation of energy.
In fact, if air resistance is negligible, the total mechanical energy of the tool is conserved during the fall, so we can write:
where
is the kinetic energy of the tool at the top (zero since it is at rest)
is the gravitational potential energy of the tool at the top, where
m is the mass of the tool
g is the acceleration of gravity
h is the heigth of the tool
is the kinetic energy of the tool just before hitting the ground, where
v is the final speed of the tool
is the gravitational potential energy of the tool at the bottom (zero since the height is zero)
Re-arranging the equation,
where we have
And solving for v,
Learn more about kinetic energy and potential energy:
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Answer: 9 days
Explanation:
- Step 1
Let the rate of Leaf growth <em>r</em> be defined as, =
where <em>A</em> is initial area of the leaf, <em>A1</em> is the final area of the leaf and<em> t</em> is the time taken for the increase in Area.
- Express the proportional relationship in equation.
Given that rate of leaf growth, r is proportional to the surface area of the leaf A. we have r ∝ A.
r = kA, where k is the rate constant.
therefore, k =
when A = 2, A1 = 3
so k =
= ÷ 2
= 0.33 ÷ 2
k = 0.167
- After calculating the rate constant k, we then find the time t when A1 is 5
- we have r = k × A1 =
so, 0.167 × 2 =
0.33 = .
t = 3/0.33
Therefore, t = 9 days.