The tension does not approach infinity.
<span>Let's analyze free body diagrams (FBDs) for each mass, considering the direction of motion of m₁ as positive.
For m₁: m₁*g - T = m₁*a
For m₂: T - m₂*g = m₂*a
Assuming a massless cord and pulley without friction, the accelerations are the same.
From the second equation: a = (T - m₂*g) / m₂
Substitute into the first:
m₁*g - T = m₁ * [(T - m₂*g) / m₂]
Rearranging:
m₁*g - T = (m₁*T)/m₂ - m₁*g
2*m₁*g = T * (1 + m₁/m₂)
2*m₁*m₂*g = T * (m₂ + m₁)
T = (2*m₁*m₂*g) / (m₂ + m₁)
Taking the limit as m₁ approaches infinity:
T = 2*m₂*g
This aligns with intuition since the greatest acceleration m₁ can have is -g. The cord then accelerates m₂ upward at g while gravity acts downward, leading to a maximum upward acceleration of 2*g for m₁.</span>
Answer:
The fat percentage in the blend amounts to 8%.
Step-by-step explanation:
Let
x -----> represent the fat percentage in the mix.
We understand that
The total of milk's volume times its fat percentage, added to cream's volume times its fat ratio, must match the overall mixture's volume times its fat percentage.
Keep in mind that
15% = 15/100 = 0.15
3% = 3/100 = 0.03
therefore
Now, solve for x
Convert that into a percentage
He created a scalene triangle.
A scalene triangle has sides and angles that do not measure alike.
As of 12:04 EST in the U.S.
$1=<span>112.624847 Yen
Thus:
100USD(112.624847Y/1USD)=11262.62 Yen</span>
