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irga5000
1 month ago
13

Finally, suppose m1→∞, while m2 remains finite. what value does the the magnitude of the tension approach?

Mathematics
1 answer:
AnnZ [12.3K]1 month ago
5 0
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>
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What proportion of these candy bars have more than 300 calories per serving? (Round your answer to two decimal places.)
Inessa [12570]

Answer: 0.12

Step-by-step explanation:

There are a total of 65 candy bars. Within this amount;

2 candy bars contain 300 to 350 calories

1 candy bar contains 350 to 400 calories

4 candy bars contain 400 to 450 calories

1 candy bar contains 450 to 500 calories

Thus, the overall ratio of candy bars with more than 300 calories is;

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1 month ago
Milton is floating in an inner tube in a wave pool. He is 1.5 m from the bottom of the pool when he is at the trough of a wave.
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15 days ago
A line passes through the point (0, -1) and has a positive slope. Which of these points could that line pass through?
zzz [12365]

Answer:

(12, 3), (-2, -5), (1, 15)

Step-by-step explanation:

The line may intersect any point where the x-coordinate is positive and the y-coordinate exceeds -1. Such points include...

(12, 3), (1, 15)

The line can also cross any point where the x-coordinate is negative while the y-coordinate is lower than -1. That point is...

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In the provided diagram, the lines colored green demonstrate a positive slope, while the red lines do not.

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Answer:

a) 2.60x10^-7

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Step-by-step explanation:

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Detailed explanation:

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