1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ankoles [38]
3 years ago
8

This procedure has been used to "weigh" astronauts in space: A 42.5 kg chair is attached to a spring and allowed to oscillate. W

hen it is empty, the chair takes 1.30 s to make one complete vibration. But with an astronaut sitting in it, with her feet off the floor, the chair now takes 2.54 s for one cycle.What is the mass of the astronaut?
Physics
1 answer:
Bingel [31]3 years ago
3 0

Answer:

The mass of the astronaut is approximately 119.74 kg

Explanation:

Assuming this problem as a Simple Harmonic Motion of a mass-spring system, the period (T) of the oscillations for a mass (m) and spring constant (k) is:

T=2\pi\sqrt{\frac{m}{k}} (1)

First, we have to calculate the spring constant using equation (1) and the data provided for the oscillations without the astronaut:

<em>(it’s important to note that one complete vibration is the period of the movement)</em>

1.3=2\pi\sqrt{\frac{42.5}{k}}\Longrightarrow k=42.5(\frac{2\pi}{1.3})^{2}

k\approx992.8\,\frac{N}{m}

Now with the value of k, we can use again (1) to find the mass of the astronaut (Ma) that makes the period to be 2.54 seconds

2.54=2\pi\sqrt{\frac{42.5+M_{a}}{992.8}}\Longrightarrow M_{a}=992.8(\frac{2.54}{2\pi})^{2}-42.5

\mathbf{M_{a}\approx119.74\,kg}

You might be interested in
A 2,000 kg railroad car is coasting on a track at a constant velocity of 20 m/s. As the car coasts under a loading ramp, a 500 k
BlackZzzverrR [31]

Answer:

the car with the hay should slow to 16m/s if the bale of hay is dropped into it.

3 0
3 years ago
When two atoms bond chemically it is because of the interaction between
lorasvet [3.4K]

Answer:

i think answer should be C

6 0
2 years ago
Read 2 more answers
Gravity is not considered matter. <br>A. True <br>B. False​
Strike441 [17]

Answer:

false gravity is not considered matter

7 0
3 years ago
8. A 2 kg flower pot weighing 20 N falls from a window ledge.
Alina [70]

The force of the air resistance is 4 N.

The given parameters;

  • mass of the flower pot, m = 2 kg
  • weight of the flower pot, W = 20 N

Let the air resistance = F

Apply Newton's second law of motion to determine the force of the air resistance acting upward to oppose the motion of the pot falling downwards.

\Sigma F = ma\\\\W - F = ma\\\\a = \frac{W - F}{m} \\\\8 = \frac{20 - F}{2} \\\\20 - F = 16\\\\F = 20 - 16\\\\F = 4 \ N

Thus, the force of the air resistance is 4 N.

Learn more here: brainly.com/question/19887955

8 0
3 years ago
What is a central therapeutic technique of psychoanalysis?
finlep [7]

These techniques are central to psychoanalytic therapy. They can be used alone or in combination with one another. Their purpose is to increase awareness and foster insight into the client's behavior and emotions

please rate and thanks me if this helped

8 0
3 years ago
Other questions:
  • How are ocean ridges formed
    9·2 answers
  • a car with a mass of 2000 kilograms is moving around a circular curve at a uniform velocity of 25 meters per second. The curve h
    10·2 answers
  • If a psychologist were to run an experiment measuring the effects of temperature on aggression the differing temperature would b
    13·1 answer
  • Select the words that make the sentence a true statement.
    8·2 answers
  • Match the term to its definition.
    15·2 answers
  • The equation r (t )=(2t + 4)⋅i + (√ 7 )t⋅ j + 3t ²⋅k the position of a particle in space at time t. Find the angle between the v
    10·1 answer
  • True or false<br> Hydrogen fuel cells generate electricity by combining hydrogen with oxygen.
    11·1 answer
  • Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When car
    13·1 answer
  • Qualitative observation requires numerous data to discribe research A .true B. False
    9·1 answer
  • A student is constructing an investigation on static electricity. The student has three balloons and rubs two of them on a piece
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!