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
Liono4ka [1.6K]
2 years ago
6

The total length of the cord is L = 7.00 m, the mass of the cord is m = 7.00 g, the mass of the hanging object is M = 2.50 kg, a

nd the pulley is a fixed a distance d = 4.00 m from the wall. You pluck the cord between the wall and the pulley and it starts to vibrate. What is the fundamental frequency (in Hz) of its vibration?
Physics
1 answer:
Vlada [557]2 years ago
3 0

Answer:

frequency = 19.56 Hz

Explanation:

given data

length L = 7 m

mass m = 7 g

mass M = 2.50 kg

distance d = 4 m

to find out

fundamental frequency

solution

we know here frequency formula is

frequency = \frac{v}{2d}   ...........1

so here d is given = 4

and v = \sqrt{\frac{T}{\mu} }  ..........2

tension T = Mg = 2.50 × 9.8 = 24.5 N

and μ = \frac{m}{l} =  \frac{7*10^{-3} }{7} = 10^{-3} kg/m

so from equation 2

v = \sqrt{\frac{24.5}{10^{-3}} }

v = 156.52

and from equation 1

frequency = \frac{v}{2d}

frequency = \frac{156.52}{2(4)}

frequency = 19.56 Hz

You might be interested in
Two vehicles approach an intersection: a truck moving eastbound at 16.0 m/s and an SUV moving southbound at 20.0 m/s. Suppose th
mario62 [17]

Answer:25.61 m/s

Explanation:

Given

truck is moving eastbound with a velocity of 16 m/s

Velocity of truck v_t=16\hat{i}

SUV is moving south with a velocity of 20 m/s

Velocity of SUV in vector form v_s=-20\hat{j}

Velocity of truck relative to the SUV

v_{ts}=v_{t}-v_s

v_{ts}=16\hat{i}-(-20\hat{j})

Magnitude of relative velocity is

|v_{ts}|=\sqrt{16^2+20^2}

|v_{ts}|=25.61\ m/s                                                  

5 0
3 years ago
A 13-N east horizontal force acts in the same direction as a 6.4kg block as it slides 2.5m/s on a frictionless, horizontal surfa
MaRussiya [10]

Answer:

6.77 m/s

Explanation:

Acceleration = Force/mass;

The block is accelerated by 13/6.4 m/s^2 for 2.1s from an initial velocity of 2.5m/s.

Applying the equation of motion:

Vf=Vi + at

Where Vf is the final velocity, Vi is the initial velocity, a is the acceleration and t is the time for which the object accelerates.

<h3>Vf= 2.5 + ((13/6.4)*2.1);</h3>
8 0
3 years ago
A block of mass 11.0 kg slides from rest down a frictionless 38.0° incline and is stopped by a strong spring with
ivanzaharov [21]

Answer:

11.72 mm

Explanation:

The gravitational potential energy equals the potential energy of the spring hence

PE_{gravitational}=PE_{spring}

mgh=0.5kx^{2} where m is the mass of object, g is the acceleration due to gravity, h is the height, k is the spring constant and x is the extension of the spring

mgdsin\theta=0.5kx^{2} where \theta is the angle of inclination and d is the sliding distance

Making x the subject then

x=\sqrt {\frac {2mgdsin\theta}{k}}

Substituting the given values then

x=\sqrt{\frac {2\times 11\times 9.81\times 3\times sin 38}{2.9\times 10^{4}}}= 0.117240716\approx 11.72 mm

8 0
3 years ago
A boy pulls a wagon with an applied force of 40 N on frictionless surface. If the mass of the wagon is 13kg, what is the acceler
Gekata [30.6K]

Answer:

3.1 m/s²

Explanation:

Apply Newton's second law:

∑F = ma

40 N = (13 kg) a

a ≈ 3.1 m/s²

7 0
3 years ago
A velocity selector, in which charged particles of a specific speed pass through undeflected while those of greater or lesser sp
uranmaximum [27]

Answer:

a) 351351.35m/s

b) 1.044*10^{-8}kg/C

Explanation:

a) Electric force and magnetic force over the charge must have the same magnitude. From there we can compute the seep of the charge.

F_E=F_B\\\\qE=qvB\\\\v=\frac{E}{B}=\frac{1.95*10^{5}V/m}{0.555T}=351351.35\frac{m}{s}

b) the mass-charge ratio is given by:

\frac{m}{q}=\frac{rB}{v}=\frac{(6.61*10^{-3}m)(0.555T)}{351351.35m/s}=1.044*10^{-8}\frac{kg}{C}

hope this helps!!

5 0
3 years ago
Other questions:
  • How long would it take for a ball dropped from the top of a 484-foot building to hit the ground? round your answer to two decima
    7·1 answer
  • Dalton’s theory was identified using light microscope images of atoms. the experimental results of other scientists. water vapor
    5·2 answers
  • How are mixtures and pure substances different
    12·1 answer
  • A Universe Question!
    15·1 answer
  • A can of sardines is made to move along an x axis from x = 0.13 m to x = 1.42 m by a force with a magnitude given by F = exp(–7x
    9·1 answer
  • A5 kg block is pulled across a table by a horizontal force of 40 N with a frictional force of
    15·1 answer
  • Which law is this As you pedal your bicycle harder, the bicycle goes faster.
    8·1 answer
  • You are riding a bicycle home from school. You average 5 meters per second and you are headed south.
    15·1 answer
  • Help me answer these, please. I GIVE CROWNS!! PLEASE!!
    11·2 answers
  • tourist travels 1500 miles using two planes. The second plane averages 50 miles per hour faster than the first plane. The touris
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!