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tatuchka [14]
3 years ago
11

An astronaut living on the space station is in a constant state of free-fall- the only force exerted on her and on the space sta

tion is the gravitational force due to earth. One method of determining her mass on the space station involves vibrational motion. An astronaut sits on the chair that vibrates horizontally at the end of a spring. A motion detector determines the amplitude of vibration and the speed of the chair as it passes through the equilibrium position. The spring has a spring constant of 1200 N/m, the amplitude of vibration is 0.50 m and the speed of the chair as it passes through equilibrium is 2.0 m/s. Using these data, find the combined mass of the chair and the astronaut.
Physics
1 answer:
Radda [10]3 years ago
3 0

Answer:

m = 75 kg

Explanation:

The maximum spring potential energy will equal the maximum kinetic enrgy

½mv² = ½kx²

m = kx²/v²

m = 1200(0.50²) / 2.0²

m = 75 kg

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Two circular holes, one larger than the other, are cut in the side of a large water tank whose top is open to the atmosphere. Ho
lidiya [134]

Answer:\frac{r_1}{r_2}=1.565

Explanation:

Given

two holes are made with different sizes

Hole 1 is large in size and hole 2 is small

If the volume flow rate of water is same for both the hole then small hole must be below the large hole because for same flow rate, velocity of water is large while cross-sectional area is small so it compensate to give same flow for both the holes.

Now for radius apply Bernoulli's theorem at hole 1 and 2

P_1+\rho gh_1=P_{atm}+\frac{1}{2}\rho v_1^2

P_2+\rho g6h_2=P_{atm}+\frac{1}{2}\rho v_2^2

if hole 1 is h distance below water surface then h_2=6h

and P_1=P_2=P_{atm}

Also v_1=\sqrt{2gh}

v_2=\sqrt{2g(6h)}

and Q=A_1v_1=A_2v_2

A=\pi r^2

thus \dfrac{r_1}{r_2}=\sqrt{\dfrac{v_2}{v_1}}

\dfrac{r_1}{r_2}=\sqrt{\dfrac{\sqrt{6h}}{\sqrt{h}}}

\frac{r_1}{r_2}=1.565

5 0
3 years ago
A worker is holding a filled gas cylinder still. Which two sentences are true about the energy of the filled gas cylinder?
IrinaVladis [17]
I believe the answer is 3 and 5.<span />
6 0
3 years ago
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A system has 600 j of heat and does 300 j of work. What is the change in internal energy?
Andreas93 [3]

Answer:

The final energy is 1,700 J

Explanation: According to first law of thermodynamics:

=Final energy-initial energy=Change in internal energy

q = heat absorbed or released

w = work done by or on the system

w = work done by the system=  {Work done by the system is negative as the final volume is greater than initial volume}

q = +500J   {Heat absorbed by the system is positive}

w = work done by the system = -300J

Explanation:

5 0
4 years ago
Explain whether people are more likely to eat too much or too little
melamori03 [73]

Answer:

Everyone's different  

Explanation:

3 0
3 years ago
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Suppose the maximum safe average intensity of microwaves for human exposure is taken to be 1.50 W/m2. If a radar unit leaks 10.0
sp2606 [1]

Answer:

  r = 0.728 m

Explanation:

The intensity is defined as the ratio between the power per unit area

       I = P / A

Where A is the area of ​​the sphere where the wave is

      A = 4π r²

In this exercise we are given the power of the P = 10.0 W micro waves, the safe intensity    I₁ = 1.5 W / m²

      A₁ = P / I₁

Calculate      

      A₁ = 10.0 / 1.5

     A₁ = 6.6667 m²

Let's clear the radius of the sphere

      r = √ A / 4π

      r = √ (6.6667 / 4π)

      r = 0.728 m

7 0
3 years ago
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