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
Luden [163]
3 years ago
9

A vertical scale on a spring balance reads from 0 to 200 N . The scale has a length of 11.0 cm from the 0 to 200 N reading. A fi

sh hanging from the bottom of the spring oscillates vertically at a frequency of 2.55 Hz .Ignoring the mass of the spring, what is the mass m of the fish?
Physics
1 answer:
Andreyy893 years ago
4 0

Answer:

7.08 kg

Explanation:

Given:

Length of scale (x) = 11.0 cm = 0.110 m [1 cm = 0.01 m]

Range of scale is from 0 to 200 N.

Frequency of oscillation of fish (f) = 2.55 Hz

Mass of the fish (m) = ?

Now, range of scale is from 0 to 200 N. So, maximum force, the spring can hold is 200 N. For this maximum force, the extension in the spring is equal to the length of the scale. So, x = 0.11\ m

Now, we know that, spring force is given as:

F=kx\\\\k=\frac{F}{x}

Where, 'k' is spring constant.

Now, plug in the given values and solve for 'k'. This gives,

k=\frac{200\ N}{0.11\ m}=1818.18\ N/m

Now, the oscillation of the fish represents simple harmonic motion as it is attached to the spring.

So, the frequency of oscillation is given as:

f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}

Squaring both sides and expressing it in terms of 'm', we get:

\frac{k}{m}=4\pi^2f^2\\\\m=\dfrac{k}{4\pi^2f^2}

Now, plug in the given values and solve for 'm'. This gives,

m=\frac{1818.18\ N/m}{4\pi^2\times (2.55\ Hz)^2}\\\\m=\frac{1818.18\ N/m}{256.708\ Hz^2}\\\\m=7.08\ kg

Therefore, the mass of the fish is 7.08 kg.

You might be interested in
Question:
iogann1982 [59]
The correct answer is:
<span>C: in the protons and neutrons of an atom

In fact, the nuclear energy refers to the binding energy of the nucleons (protons and neutrons) of an atom. The protons and the neutrons are held together by the strong nuclear interaction, one of the four fundamental forces of nature, and the energy associated to this interaction is called nuclear energy.

</span>
7 0
2 years ago
What is the speed of a truck that travels 10 i’m in 10 minutes ?
fiasKO [112]

10km/10min is a legitimate speed. So is meters/sec, km/hour (kph), etc.  

Kph is very common for vehicles:  

10 km/10 min (60 min/hr) = 60 kph

7 0
3 years ago
Find the wavelength of the third line in the lyman series, and identify the type of em radiation.
Natalija [7]

The wavelength of the third line in the Lyman series, and identify the type of EM radiation

In this series, the spectral lines are obtained when an electron makes a transition from any high energy level (n=2,3,4,5... ). The wavelength of light emitted in this series lies in the ultraviolet region of the electromagnetic spectrum.

1 / lambda = R(h)* ( \frac{1}{(n1)^{2} } -   \frac{1}{(n2)^{2} })

                 = 109678 ( \frac{1}{1^{2} } -  \frac{1}{3^{2} } )

                 = 109678 (8/9)

   Lambda = 9 / (109678 * 8 )

                  = 102.6 * 10^{-9} m = 102.6 nm

To learn more about Lyman series here

brainly.com/question/5762197

#SPJ4

8 0
1 year ago
A block of aluminum occupies a volume of 15.0 ml and weighs 40.5 what is its density
AVprozaik [17]
D = 40.5 g / 15.0 mL<span>d = 2.70 g/mL</span>
5 0
3 years ago
Read 2 more answers
6
asambeis [7]

Answer:

TAJUK

Explanation:

Sebab saya suka makan ayam goreng, esok saya nak pesan daripada kedai pak abu, terima kasih bosku

6 0
2 years ago
Other questions:
  • How to draw the ray diagram? Pls answer
    10·1 answer
  • Identify the factors that a kitchen manager must consider when buying equipment
    15·1 answer
  • Why is there an upward force on objects in water?
    13·2 answers
  • Which of the following statements best describes the relationship between force and work?
    5·1 answer
  • Common transparent tape becomes charged when pulled from a dispenser. If one piece is placed above another, the repulsice force
    12·1 answer
  • How does the magnitude of the electrical force compare between a pair of charged particles when they are brought to half their o
    6·1 answer
  • A point charge of 6.8 C moves at 6.5 × 104 m/s at an angle of 15° to a magnetic field that has a field strength of 1.4 T.
    5·2 answers
  • What does a cell use to eliminate a substance that is too large to leave by diffusion?
    14·1 answer
  • At what distance x from the center of the coil, on the axis of the coil, is the magnetic field half its value at the center?
    5·1 answer
  • Which unit abbreviation is a measurement of force?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!