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Romashka-Z-Leto [24]
3 years ago
8

A spring-mounted chair in which the astronaut sits, can be used to find the mass of an astronaut. The chair is then made to osci

llate in simple harmonic motion. The spring used in one such device has a spring constant of 569 N/m, and the mass of the chair is 11 kg. The measured oscillation period is 3.6 s. Find the mass of the astronaut.
Physics
1 answer:
emmainna [20.7K]3 years ago
4 0

Answer:

M = 175 kg

Explanation:

In the resolution of the harmonic oscillator movement of a system and a mass with a spring, the angular velocity is

    w = √ k / m

Where k is the spring constant and m the mass

In this case the mass is the mass of the chair (m) plus the mass of the astronaut (M)

    M all = m + M

The angular velocity and the period are related by

    w = 2π / T

Substituting

   2π / T = √(k/(m + M))

We calculate the astronaut's mass

   4π² / T² = k / (m + M)

   M = k T² / 4π² - m

   M = 569 3.6² /(4π²) - 11

   M = 186.8 - 11

   M = 175 kg

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Answer:

4 A

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The equation can also be rewritten as

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from which we see that the current is inversely proportional to the resistance, R.

In this problem, the initial current is I = 8 A. Then the resistance is doubled:

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so the current is halved.

7 0
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Answer:

The answer to your question: d.

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a. The rate of change of momentum of an object is equal to the net force applied to the object.  

This is the second a law of motion, so this answer is incorrect.

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c. For any force, there always is an equal and opposite reaction force.

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d. What goes up must come down.

Newton said this sentence, but is not part of the law of motion.

5 0
3 years ago
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