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alex41 [277]
3 years ago
10

Space-faring astronauts cannot use standard weight scales (since they are constantly in free fall) so instead they determine the

ir mass by measuring the period of oscillation when sitting in a chair connected to a spring. Suppose a chair is connected to a spring with a spring constant of 600 N/m. If the empty chair oscillates with a period of 0.9s, what is the mass of an astronaut who oscillates with a period of 2.0 s while sitting in the chair
Physics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

ma = 48.48kg

Explanation:

To find the mass of the astronaut, you first calculate the mass of the chair by using the information about the period of oscillation of the empty chair and the spring constant. You use the following formula:

T=2\pi\sqrt{\frac{m_c}{k}}     (1)

mc: mass of the chair

k: spring constant = 600N/m

T: period of oscillation of the chair = 0.9s

You solve the equation (1) for mc, and then you replace the values of the other parameters:

m_c=\frac{T^2k}{4\pi^2}=\frac{(0.9s)^2(600N/m)}{4\pi^2}=12.31kg    (2)

Next, you calculate the mass of the chair and astronaut by using the information about the period of the chair when the astronaut is sitting on the chair:

T': period of chair when the astronaut is sitting = 2.0s

M: mass of the astronaut plus mass of the chair = ?

T'=2\pi\sqrt{\frac{M}{k}}\\\\M=\frac{T'^2k}{4\pi^2}=\frac{(2.0s)^2(600N/m)}{4\pi^2}\\\\M=60.79kg (3)

Finally, the mass of the astronaut is the difference between M and mc (results from (2) and (3)) :

m_a=M-m_c=60.79kg-12.31kg=48.48kg

The mass of the astronaut is 48.48 kg

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34.45m

Explanation:

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3 years ago
A battery can provide a current of 1.80 A at 2.60 V for 6.00 hr. How much energy (in kJ) is produced?A battery can provide a cur
love history [14]

Answer:

The energy which is produced by a battery is 101.1 kJ.

Explanation:

The expression for the energy in terms of voltage, current and time is as follows;

E=VIt

Here, V is the voltage, I is the current and t is the time.

It is given in the problem that a battery can provide a current of 1.80 A at 2.60 V for 6.00 hr.

Calculate the energy of the battery.

E=VIt

Convert time from hour int seconds.

t=6 hr

t=(6)(60)(60)

t=21600 s

Put I= 1.80 A, V= 2.60 V and t= 21600 s in the expression of energy.

E=(2.60)(1.80)(21600)

E= 101.1 kJ

Therefore, the energy which is produced by a battery is 101.1 kJ.

4 0
3 years ago
a wave travels at a speed of 793 m/s and has a wavelength of 2.3 meters. calculate the frequency of the wave​
Savatey [412]

Answer:

344.8 Hz

Explanation:

The frequency of a wave is given by:

f=\frac{v}{\lambda}

where

v is the speed of the wave

\lambda is its wavelength

Here we have

v = 793 m/s

\lambda=2.3 m

Substituting into the equation, we find

f=\frac{793 m/s}{2.3 m}=344.8 Hz

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Two students were pushing a heavy sofa. One student pushed with a force of 200.0 N to the right, while the other pushed with a f
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Answer:

Explanation:

F = ma

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a = 2.7472527...

a = 2.75 m/s²

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2 years ago
Can someone please help me with this assignment, this is due today
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Answer:

did you get it done if not lmk I will help you out tomorrow when I get up

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