A wave is sent back and forth along a rope 4 m long with a mass of 0.6 kg by exerting a force a force of 30 N. Calculate the linear mass density of the rope (in kg/m).

Answers

Answer 1

The linear mass density of the rope in the given motion of the wave is 0.15 kg/m.

Linear mass density of the rope

The linear mass density of the rope in the given motion of the wave is determined by dividing the mass of the rope with the length of the entire rope.

The linear mass density of the rope is calculated as follows;

μ = m/L

μ = 0.6 kg / 4 m

μ = 0.15 kg/m

Thus, the linear mass density of the rope in the given motion of the wave is 0.15 kg/m.

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Related Questions

A wave has a frequency of 5hz and a wave speed of 25m/s what is the wavelength?

25 m
5 m
25 m/s
125 m

Answers

25 m because adding 5hz and 25 m would give 49 kg of mass and volume

A box weighing 8 newtons requires a force of 2 newtons to push it along the floor. The coefficient or friction Berween the box and the floor is_?​

Answers

I believe the answer is 16.

 Have a blessed day!

list three things that spectra can tell us about objects in space​

Answers

Answer:

The temperature, the density, and the element of stars.

Explanation:

The spectral line also can tell us about any magnetic field of the star. The width of the line can tell us how fast the material is moving. We can learn about winds in stars from this.

What is maxwell’s theory about atoms?

Answers

To put it another way, stationary states are the same as time-independent currents. Moreover, such currents are not sources of radiation, according to Maxwell's theory. The atom will remain in its natural state and will not collapse due to a shortage of energy.

Answer:

it states that the atom will rest confortably in the ground state and will not collapse for lack of energy

An object moving in a straight line has a velocity v in m/s that varies with time t in s according the following function. v= 8+2.5 12 to 11. The instantaneous acceleration of the object at t = 2 sis (A) 2 m/s (B) 4 m/s (0) 6 m/s2 D) 8 m/s2 (E) 10 m/s2 12. The displacement of the object between t = 0 and t = 6 s is (A) 120 m (B) 180 m (C) 228 m (D) 242 m (E) 260 m​

Answers

The instant acceleration of the object is 10 m/s² and the displacement of the object is 228 m.

Instantaneous acceleration

The instant acceleration of the object is determined by taking the derivative of the velocity as follows;

v = 8 + 2.5t²

a = dv/dt

a = 5t

a(2) = 5(2)

a(2) = 10 m/s²

Displacement of object

The displacement of the object is determined by taking the integral of velocity as follows;

v =  8 + 2.5t²

x = ∫v

x = 8t + 2.5t³/3

x(0) = 0

x(6) = 8(6) + 2.5(6)³/3

x(6) = 228 m

Thus, the displacement of the object is 228 m.

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A fish uses its tail fin to push against the water. The water is pushed backward, in the fish is pushed for it. Is it Newton's first law of motion, Newton's second law of motion, or Newton's third law of motion?​

Answers

Answer:

it is Newton's third law of motion?

Hope This Helps

A 3 Hz wave has a wavelength of 0.4 m. Calculate the speed of the wave (in m/s).

Answers

The speed of the wave with the given frequency and wavelength is 1.2m/s.

Given the data in the question;

Wavelength of the wave; [tex]\lambda = 0.4m[/tex]Frequency; [tex]f = 3Hz = 3s^{-1}[/tex]Speed of the wave; [tex]v = \ ?[/tex]

Wavelength

Wavelength is  the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

It is expressed as;

[tex]\lambda = \frac{v}{f}[/tex]

Where v is velocity/speed and f is frequency.

Now, we can easily get the speed of the wave by substituting our given values into the expression above.

[tex]\lambda = \frac{v}{f} \\\\0.4m = \frac{v}{3s^{-1}}\\ \\v = 0.4m * 3s^{-1}\\\\v = 1.2ms^{-1}\\\\v = 1.2m/s[/tex]

Therefore, the speed of the wave with the given frequency and wavelength is 1.2m/s.

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A body is piloted at a point. A force of 10 N is applied at a distance of 30 cm from the pivot. Find the amount of force about the pivot .​

Answers

Question :-

A Body is Pivoted at a Point. A Force of 10 N is Applied at a Distance of 30 cm from the Pivot. Find the Amount of Force about the Pivot.

Answer :-

Amount of Force is 3 Nm .

Explanation :-

As per the provided information in the given question, The Force is given as 10 Newton . The Distance is given as 30 cm [ 0.3 m ] . And, we have been asked to calculate the Amount of Force .

For calculating the Force , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed{ \: \sf {Moment \: of \: Force \: = \: Force \: \times \: Distance} \: } [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf {Moment \: of \: Force \: = \: Force \: \times \: Distance} [/tex]

[tex] \longmapsto \: \: \: \sf {Moment \: of \: Force \: = \: 10 \: \times \: 0.3} [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Moment \: of \: Force \: = \: 3}} [/tex]

Hence :-

Amount of Force = 0.3 Nm .

[tex] \underline {\rule {185pt}{4pt}} [/tex]

why did the ball move the same distance when it was on the flatbed truck that accelerated 0.2 m/s?

Answers

The relative velocity of the ball with respect to the truck is same as that of the truck with respect to the ball at equal time.

What is relative velocity?

The relative velocity of an object is the velocity of the object observed with respect to rest frame of another object.

Distance traveled by the object

The distance traveled by each object is determined from the prouduct of velocity and time of motion.

d = vt

where;

v is velocityt is time

Thus, if the ball moved the same distance when it was on the flat bed truck, then the relative velocity of the ball with respect to the truck is same as that of the truck with respect to the ball at equal time.

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7. A steel band exerts a horizontal force of 80.0 N on a tooth
at point B in Figure 7.3. What is the torque on the root of
the tooth about point A?
Gum
48.0°
A
F
1.20 cm

Answers

The torque experienced by the root of the tooth about point A when the steel band exerts the given force is 0.713 Nm.

Torque about point A

The torque experienced by the root of the tooth about point A is calculated as follows;

τ = rFsinθ

where;

F is applied forcer is the perpendicular distance

τ = (0.012) x (80) x (sin 48)

τ = 0.713 Nm

Thus, the torque experienced by the root of the tooth about point A when the steel band exerts the given force is 0.713 Nm.

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A dragster's top acceleration is 60 m/s.
If it accelerates for 3 seconds from the
starting line, how fast will it be going?

Answers

Answer:

very fast

Explanation:

By what percent is the torque of a motor decreased if its permanent magnets lose 6.5 % of their strength

Answers

6 is the answer I remember the answer from when I took this and it was easy

9- How many protons, electrons, and neutrons does an atom with atomic number
50 and mass number 125 contain? *
O A) 50 protons, 50 electrons, 75 neutrons
B) 75 electrons, 50 protons, 50 neutrons
C) 120 neutrons, 50 protons, 75 electrons
D) 70 neutrons, 75 protons, 50 electrons

Answers

Answer:

A

Explanation:

the atomic number means the number of protons so there are 50 protons

the number of positive charges (protons) should equal the number of negative charges (electrons) so there should be 50 electrons

the mass number = neutrons number + protons number

and we knew already that we have 50 protons so the number of neutrons is 125-50=75 neutrons

A atom in its ground state contains 18 electrons. how many of these electrons are in orbital l=0 values?​

Answers

Orbital one has one electron

In a circuit, we are using conducting wires made from Manganese.
(i) If we assume there are 3 free electrons per an atom of manganese, what is its
electron density?
(ii) How much current flows through a cylindrical manganese wire of volume 27 cm3,
length 3cm if the circuit is switched on for 5 seconds?

Answers

i. The electron density of maganese is 2.44 × 10²⁸ electrons/m³

ii. The current that flows through a cylindrical manganese wire of volume 27 cm3 is 21.11 kA

To solve the question, we need to know what electron density is.

What is electron density?

This is the number of free electrons per unit volume of material.

To find electron density, we need to find the atom density which is the number of atoms per unit volume, n.

Atom density of manganese

So, the atom density of manganese is n = Nρ/A where

N = avogadro's number = 6.022 × 10²³ atoms/mol, ρ = density of manganese = 7430 kg/m³ and A = atomic mass of manganese = 0.0594 kg/mol

So, n = Nρ/A

n = 6.022 × 10²³ atoms/mol × 7430 kg/m³/0.05494 kg/mol

n = 44743.46 × 10²³ atoms/mol × kg/m³/0.05494 kg/mol

n = 81440.59 × 10²³ atoms/m³

n = 8.144059 × 10²⁷ atoms/m³

n ≅ 8.14 × 10²⁷ atoms/m³

i. Electron density of manganese

The electron density of maganese is 2.44 × 10²⁸ electrons/m³

So, the electron density of manganese n' = n" × n where

n" = number of free electrons per atom = 3 and n = atom density = 8.14 × 10²⁷ atoms/m³

So, n' = n" × n

= 3 electrons per atom × 8.14 × 10²⁷ atoms/m³

= 24.42 × 10²⁷ electrons/m³

= 2.442 × 10²⁸ electrons/m³

≅ 2.44 × 10²⁸ electrons/m³

So, the electron density of maganese is 2.44 × 10²⁸ electrons/m³

ii. How much current flows through the cylindrical maganese wire?

The current that flows through a cylindrical manganese wire of volume 27 cm3 is 21.11 kA

The current flowing through the wire is given by i = n'eV/t where

n = electron density = 2.44 × 10²⁸ electrons/m³, e = electron charge = 1.602 × 10⁻¹⁹ C, V = volume of wire = 27 cm³ = 27 × 10⁻⁶ m³ and t = time current flows = 5 s

So, substituting the values of the variables into the equation, we have

i = n'eV/t

i = 2.44 × 10²⁸ electrons/m³ × 1.602 × 10⁻¹⁹ C × 27 × 10⁻⁶ m³/5 s

i = 105.54 × 10³ C/5 s

i = 21.11 × 10³ C/s

i = 21.11 × 10³ A

i = 21.11 kA

So, the current that flows through a cylindrical manganese wire of volume 27 cm3 is 21.11 kA

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Calculate the speed of sound in a string that has a tension of 100 N and a linear mass density of 0.0001 kg/m

Answers

You will need to divide it.

Striking a match stick on the matchbox involves the reaction of potassium chlorate and red phosphorus with the following equation: 10 KCIO3 (s) + 3P4 (s) → 3P4O10 (s) + 10 KCI (s) How much of each reactant will be needed to produce 105.8 g of tetraphosphorus decaoxide (P4O10)?​

Answers

Answer:

m(P4) =  46.175 (grams)

m (KClO3) = 149 (grams)


Explanation:

1) n(P4) = n(P4O10);

m(P4)/M(P4) = m(P4O10)/M(P4O10);

m(P4) = M(P4)*m(P4O10)/M(P4O10)
          = 123.90*105.8/283.89
          = 46.175 (grams)

2) Analogously, 10n(P4O10) = 3n(KClO3)

m (KClO3) = 10M(KClO3)*m(P4O10)/3M(P4O10)
                = 10*122.55*105.8/283.89/3
                = 149 (grams).

149 gm of each reactant is needed to produce 105.8 gm of tetra phosphorous decaoxide .

What do you mean by reactant?

In a chemical equation, the substance or substances to the left of the arrow are referred to as reactants. A substance that is present when a chemical reaction first begins is known as a reactant.

Products refer to the material or substances to the right of the arrow. A substance that is present after a chemical reaction is complete is called a product.

Given Data:

m(P4) =  46.175 (grams)

m (KClO3) = 149 (grams)

Then it is given by:

1) n(P4) = n(P4O10);

m(P4)/M(P4) = m(P4O10)/M(P4O10);

The equation becomes :

m(P4) = M(P4)*m(P4O10)/M(P4O10)

         = 123.90*105.8/283.89

         = 46.175 (grams)

2) Analogously, 10n(P4O10) = 3n(KClO3)

m (KClO3) = 10M(KClO3)*m(P4O10)/3M(P4O10)

               = 10*122.55*105.8/283.89/3

               = 149 (grams).

Thus, 149 gm of each reactant is needed to produce 105.8 gm of tetra phosphorous decaoxide .

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# SPJ2

Two blocks are connected to identical ideal springs and are oscillating on a horizontal frictionless surface. Block A has mass m, and its motion is represented by the graph of position as a function of time shown above on the left. Block B’s motion is represented above on the right. Which of the following statements comparing
block B to block A is correct?

(A) Because block B covers more distance per cycle than block A, block B takes more time to complete each
cycle.
(B) Because the spring attached to block B is initially stretched a greater distance, the spring constant is smaller
and therefore block B has a slower average speed than block A does.
(C) Because block B has more mass, it has a slower average speed than block A does.
(D) Because block B has more mass, its acceleration is smaller than that of block A at any given displacement
from the equilibrium position.

Answers

Hi there!

We can begin by identifying key characteristics of both graphs.

Graph A.

Looking at the graph, we can see that the maximum distance (amplitude) is 10 cm (0.1 m). Additionally, its period (T) is 2 seconds (one full cycle).

We also know that:
[tex]T = 2\pi \sqrt{\frac{m}{k}}[/tex]

We can use this equation to compare with the other graph. Notice how the period does NOT depend on how far the spring is stretched. We can eliminate choice A for this reason.

Graph B.

The amplitude is 20 cm (0.2 m), and each period is 4 seconds.

We can now eliminate choice B because the springs are identical, so their spring constants are equal. Distance stretched has no impact on the spring constant.

For the other choices, we must look at forces and work.

Recall that:
Spring potential energy = [tex]\frac{1}{2}kx^2[/tex]

Kinetic energy = [tex]\frac{1}{2}mv^2[/tex]

Using the work-energy theorem:

[tex]\frac{1}{2}kx^2 = \frac{1}{2}mv^2[/tex]

Even if the mass of Block B is greater, its displacement is larger than that of Block A. Since displacement is squared in this equation, it would have a greater effect on the speed. Thus, Choice C is incorrect.

Using Hooke's Law:
[tex]\Sigma F = -kx\\\\ma = -kx\\[/tex]

[tex]a = \frac{-kx}{m}[/tex]

If the mass is greater, the acceleration will be smaller. Choice D is correct.


4. The 50-kg crate shown in Fig. rests on a horizontal surface for which the coefficient of
kinetic friction is u - 0.3. If the crate is subjected to a 400-N towing force as shown,
determine the acceleration of the crate.
your
P = 400 N
490.5 N
400 N
too

30
30°
+
F-0.3 Nc
Nc
ΣΕ = max
Σ F, = may
A. a = 4. 185 m/s2
B. a = 5. 185 m/s2
C. a = 6. 185 m/s2
D. The entire above are false

Answers

Answer:

5.057 m/s^2

Explanation:

Force of kinetic friction = .3  = F /normal force

  .3 = F /(50* 9.81)     F of friction = 147.15

Net force =   400 - 147.5  =  252.85  N

F = m * a

252.85 = 50 * a       a = 5.057 m/s^2

What should you do with electrical cells and batteries that no longer work

Answers

Answer:

Yes, single-use batteries are now made of common metals deemed non-hazardous by the federal government and can be disposed of in your regular trash in all states except California, where it is illegal to throw away all types of batteries.

find the half life of a radioactive natural which decays to 6.25% of it's original no. of nuclei in 50 seconds.

Answers

Answer:

After 1 decay it has .9375 of its value left  

.9375^n = 1/2

What is the value of n (number of decays)

n log .9375 = -.693

n =.693 / .0645 = 10.7

After 10.7 periods of 50 sec it will have 1/2 of its original nuclei left

1/2 life = 10.7 * 50 sec = 537 sec = 8.95 min

What is the gravitational potential energy of a 2100 kg car at the top of an 18 m parking garage?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Gravitational Potential of an object with mass m, and height of h metre is :

[tex]\qquad \sf  \dashrightarrow \:mgh[/tex]

Now, if the mass of object is 2100 kg, height of 18 m is placed in there, then it's gravitational potential energy is ~

[tex]\qquad \sf  \dashrightarrow \:2100 \times 10 \times 18[/tex]

[tex]\qquad \sf  \dashrightarrow \:378000 \: \: joules[/tex]

[tex]\qquad \sf  \dashrightarrow \:3.78 \times 10 {}^{5} \: \: joules[/tex]

You ride your bike north for 100 m at a constant speed of 5 m/Your acceleration is…

Answers

Answer:

our acceleration is 0 because there is a constant speed..

a = final speed - initial speed / time

final speed = initial speed ( since speed is constant)

therefore acceleration is 0

You are pushing a 30 crate along a rough surface by applying a horizontal force. The coefficients of
frictions between the surface and the crate are 0.3 and 0.6. Sketch the situation and create a Free Body diagram
from it, then Calculate:
a. The normal force on the crate by the floor.
b. The force required to get the crate to move.
c. Determine the kinetic friction force that the floor applies on the object.
d. Determine the acceleration of the crate.

Answers

Answer:

ill say math too!

Explanation:

An output gear has 10 teeth and an input gear has 40 teeth. What is the mechanical advantage of this gear combination?

Answers

Answer:

4

Explanation:

We know that :

Mechanical Advantage = Input / Output

Solving

MA = Input / OutputMA = 40 / 10MA = 4

.. In the reaction 238 92U ---- X + 2 4 He, the particle represented by X is . answer choices . 234 90 Th. 234 92 U. 238 93 Np. 242 94Pu. ... Which conditions are required

My question
• Complete the following reaction:
238 92U = ______ + ________ + 4 2He

…Is this the same question as the answer

Answers

Answer:

234 90 +energy

Explanation:

because alpha decrease by 4 2helium

explain the fleming left-hand rule with the diagram and what will the direction of the induced current in the figure if the magnet is going towards the coil.

Answers

Hi sorry

I don’t know

but maybe next time

The sound intensity at a distance of 19 m from a noisy generator is measured to be 0.24 W/m2. What is the sound intensity at a distance of 27 m from the generator

Answers

Answer:

0.1111 W/m²

Explanation:

If all other parameters are constant, sound intensity is inversely proportional to the square of the distance of the sound. That is,

I ∝ (1/r²)

I = k/r²

Since k can be the constant of proportionality. k = Ir²

We can write this relation as

I₁ × r₁² = I₂ × r₂²

I₁ = 0.25 W/m²

r₁ = 16 m

I₂ = ?

r₂ = 24 m

0.25 × 16² = I₂ × 24²

I₂ = (0.25 × 16²)/24²

I₂ = 0.1111 W/m²


In a ______ wave, particles
the medium move perpendicular
to the direction of the wave.

Answers

Answer:

Transverse wave

Explanation:

I hope this helps you! :)

A point charge q = -6.0nC is located at the origin. The electric field (in N/C) vector at the point x = -8.0m, y= +1.5m is? ​

Answers

Answer:

Explanation:

The position between point charge q to x = -8.0 m and y = 1.5 m is:

[tex]r=\sqrt{x^{2}+y^{2}}=\sqrt{(-8)^{2}+(1.5)^{2}}=\sqrt{66.25}\approx 8.13[/tex] meter

Then the magnitude of the electric field E is:

[tex]E=\frac{1}{4\pi\epsilon_{o}} \frac{q}{r^{2}}=(9\times 10^{9}) \frac{6.0\times 10^{-9}}{66.25}\approx 0.81 N/C[/tex]

For the vector of E:

[tex]\tan\theta=\frac{1.5}{-8}=-0.1875 \rightarrow \theta = -10.61^{0}[/tex]

[tex]E_{x}=E\cos (-10.16)=(0.81)(0.984)=0.79704 N/C[/tex]

[tex]E_{y}=E\sin\theta = -0.81(0.184)=-0.14904 N/C[/tex]

[tex]\vec{E}=0.79704\hat{i}-0.14904\hat{j}[/tex] in N/C

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