If the frequency of a wave is tripled, what happens to the period of the wave?

Answer: 2.55 g/cm^3

Explanation:

density is defined as:

Density = mass/volume

Now, the mass of the cylinder is 600g

and the volume of a cylinder is:

V = pi*r^2*h

where r is the radius (half of the diameter), here r = (5/2)cm and h is the height, here 12 cm

So the volume is:

V = 3.14*(2.5cm)^2*12cm = 235.5cm^3

then the density is:

D = 600g/235.5cm^3 = 2.55 g/cm^3

The sign is held in equilibrium. Using Newton's second law, we set up the equations of the net forces acting on the sign in the horizontal and vertical directions:

∑ F (horizontal) = T₁ cos(29.5°) - T₂ cos(44.5°) = 0

(right is positive, left is negative)

∑ F (vertical) = T₁ sin(29.5°) + T₂ sin(44.5°) - 215 N = 0

(up is positive, down is negative)

Solve the system of equations. I use elimination here:

• Multiply the first equation by sin(29.5°) and the second by cos(29.5°):

sin(29.5°) (T₁ cos(29.5°) - T₂ cos(44.5°)) = 0

cos(29.5°) (T₁ sin(29.5°) + T₂ sin(44.5°) - 215 N) = 0

T₁ cos(29.5°) sin(29.5°) - T₂ cos(44.5°) sin(29.5°) = 0

T₁ cos(29.5°) sin(29.5°) + T₂ cos(29.5°) sin(44.5°) = (215 N) cos(29.5°)

• Subtract the first equation from the second to eliminate T₁ :

T₂ cos(29.5°) sin(44.5°) - (- T₂ cos(44.5°) sin(29.5°)) = (215 N) cos(29.5°)

• Solve for T₂ :

T₂ (cos(29.5°) sin(44.5°) + cos(44.5°) sin(29.5°)) = (215 N) cos(29.5°)

T₂ sin(74.0°) = (215 N) cos(29.5°)

… … … (using the fact that sin(x + y) = sin(x) cos(y) + cos(y) sin(x))

T₂ = (215 N) cos(29.5°) / sin(74.0°)

T₂ ≈ 195 N

• Solve for T₁ :

T₁ cos(29.5°) - T₂ cos(44.5°) = 0

T₁ cos(29.5°) = T₂ cos(44.5°)

T₁ = T₂ cos(44.5°) / cos(29.5°)

T₁ ≈ 160. N

The dart experiences an impulse of larger magnitude during the collision. This is because the dart has less mass than the block, so the same amount of momentum change will result in a larger impulse.

Momentum is a physical concept that describes the tendency of an object to remain in motion with the same speed and direction unless it is acted on by an outside force. It is a measure of an object's inertia and is often expressed as the product of its mass and velocity. Momentum is a vector quantity, meaning that it has both magnitude and direction. Momentum is conserved in closed systems, meaning that the momentum before an interaction is equal to the momentum after the interaction. This is known as the law of conservation of momentum and can be used to solve many problems involving collisions and other interactions between objects.

To learn more about momentum

https://brainly.com/question/30337885

#SPJ1

Answer:

E = 4000 V / m

U = 1.92*10^-18 J

C' = 4.71 pF

1.2 times greater with di-electric

Explanation:

Given:-

- The potential difference between plates, V = 12 V

- The area of each plate, A = 7.6 cm^2

- The separation between plates, d = 0.3 cm

- The charge of the proton. q = 1.6*10^-19 C

- The initial velocity of proton, vi = 0 m/s

Solution:-

- The electric field ( E ) between the parallel plates of the air-filled capacitor is determined from the applied potential difference by the battery on the two ends of the plates.

- The separation ( d ) between the two plates allows the charge to be stored and the Electric field between two charged plates would be:

                          E = V / d

                          E = 12 / 0.003

                          E = 4,000 V/m ... Answer

- The amount of electrostatic potential energy stored between the two plates is ( U ) defined by:

                         U = q*E*d

                         U = (1.6 x10^-19)*(4000)*(0.003)

                         U = 1.92*10^-18 J  ... Answer

- The electrostatic energy stored between plates is ( U ) when the proton moves from the positively charges plate to negative charged plate the energy is stored within the proton.

- A slab of di-electric material ( Teflon ) is placed between the two plates with thickness equal to the separation ( d ) and Area similar to the area of the plate ( A ).

- The capacitance of the charged plates would be ( C ):

                        C = k*ε*A / d

Where,

            k: the di-electric constant of material = 2.1

            ε: permittivity of free space = 8.85 × 10^-12

- The new capacitance ( C' ) is:

                      C' = 2.1*(8.85 × 10^-12) *( 7.6 / 100^2 ) / 0.003

                      C' = 4.71 pF

- The new total energy stored in the capacitor is defined as follows:

                     U' = 0.5*C'*V^2

                     U' = 0.5*(4.71*10^-12)*(12)^2

                     U' = 3.391 * 10^-10 J

- The increase in potential energy stored is by the amount of increase in capacitance due to di-electric material ( Teflon ). The di-electric constant "k" causes an increase in the potential energy stored before and after the insertion.

- Hence, the new potential energy ( U' ) is " k = 2.1 " times the potential energy stored in a capacitor without the di-electric.

Answer:

No, it will not and this has a historical importance. The reason is that transformers work via induction of electrical forces by changes in magnetic fields, so the constat fields produced by dc currents won't work at all

Explanation:

The Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

option D.

The Falcon 9 rocket, is developed by SpaceX, and it holds  a significant importance in today's space exploration world due to several key features and achievements, and some of the importance include the following;

From the given options, we can conclude that the Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

Learn more about space exploration here: https://brainly.com/question/27325845

#SPJ1

a. The motorcycle's maximum speed is 30m/s

b.  The acceleration during the first 10s is 3m/s²

c. the deceleration during the last 5s is -5m/s²

d. The distance  travelled during the first 10s is 300 meters

e. The total distance travelled is 750 meters

f. The time taken for the whole journey is 30 seconds

A speed time graph is described as a graph that shows the motion of an object against time.

The speed-time graph is categorized into four segments and they include:

Learn more about Speed-time graph at: https://brainly.com/question/769606

#SPJ1

Answer:

1.06 metres per second squared

Explanation:

since friction acts against foward force

20 N - 4 N = 16 N

use Newtons 2nd law F=ma Solve for a:

a= F÷m

= 16 ÷ 15

= 1.06 metres per second squared

Type of energy was used is kinetic energy.

Objects 1 and 2 attract each other with an electrostatic force of 36.0 units. If the distance separating Objects 1 and 2 is tripled, then the new electrostatic force will be four units.

Coulomb's law can be expressed as:

F = k × (q1 × q2) / r²

In which:

F = electrostatic force

k = electrostatic constant (k = 9 × 10⁹ N·m²/C²)

q1 and q2 = the charges of the objects

r =  distance between the objects

Let's consider that the initial electrostatic force in between objects 1 and 2 is 36.0 units.

F1 = 36.0 units

Next, if the distance is considered between the objects is tripled, the new distance (r') changes into three times the initial distance (r):

r' = 3 ×  r

To determine the new electrostatic force (F'), replacement r' into Coulomb's law:

F' = k  × (q1  × q2) / (r')²

Place r' = 3r:

F' = k × (q1 × q2) / (3r)²

= k × (q1 × q2) / 9r²

The new force will be one-ninth (1/9) of the initial force since the electrostatic force (F') is directly proportional to (q1 q2) and inversely proportional to r2.

F' = (1/9) ×  F1

= (1/9) × 36.0

= 4.0 units

Thus, objects 1 and 2 attract each other with an electrostatic force of 36.0 units. If the distance separating Objects 1 and 2 is tripled, then the new electrostatic force will be 4 units.

Learn more about electrostatic force, here:

https://brainly.com/question/31042490

#SPJ1

Answer:

The cell theory

Explanation:

Answer:

The cell theory

Explanation:

Given:

The mass of the sugar is m = 5 kg

The distance of the shelf from the counter is h = 0.33 m

Required: Work done to put the bag on a shelf above the counter.

Explanation:

The work done can be calculated by the formula

Here, g = 9.8 m/s^2 is the acceleration due to gravity.

On substituting the values, the work done will be

Final Answer: The work done to put the bag on a shelf above the counter is 16.17 J.

Answer: 3 days

Explanation:

Answer:

It means how much input work you put into the machine, which then becomes output from the machine. So you're putting 80% of work into the machinie. To find the efficency of a machine, it's output divided by input work.

Explanation:

Answer:

efficiency is the ratio of the power ouput to the power input

Explanation:

It compares how much energy is used to do work versus how much is lost or wasted to the environment, the more efficient the machine, the less energy wasted.

The index of refraction is the ratio of the speed of light in a vacuumto the speed of light in a medium

The question is incomplete but I will like to highlight a few facts to help you understand the concept of the index of refraction.

The ratio of the speed of light in a vacuum (c) to the speed of light in a medium (c') is known as the index of refraction (n).

The propagation vector in the new medium has a different angle with respect to the normal as a result of this difference in speed when light travels from one medium to another at an angle.

A material's refractive index serves as a gauge for how light moves through it. Light travels more slowly at higher refractive indices, which results in a proportionally greater change in the direction of the light within the substance.

Learn more about refractive index:https://brainly.com/question/29858469

#SPJ1

The circuit given is a series resistance circuit.

1) The given circuit is a series resistance circuit.

2) Resistance, R₁ = 20 Ω

Resistance, R₂ = 5 Ω

The effective resistance of the circuit is given by,

Reff = R₁ + R₂

Reff = 20 + 5

Reff = 25 Ω

3) Total resistance of the circuit, R = 25 Ω

Current flowing through the circuit, I = 50 A

Therefore, the voltage across the circuit is,

V = IR

V = 50 x 25

V = 1250 V

To learn more about series resistance circuit, click:

https://brainly.com/question/1851488

#SPJ1

The average power of the signal Y(t) is approximately 4.166 W.

The energy of the signal Y(t) over one period is approximately 0.833 J.

We can calculate the average power:

P = (1/T) ∫0ⁿ |Y(t)|² dt

P = (1/0.1) ∫_0⁰¹ [(-4 + Cos(2π10t - π/4)) + Si²(2π20t)] dt

P = 2 ∫0⁰¹[16 + Cos²(2π10t - π/4) - 8Cos(2π10t - π/4)] dt

P = 2 [16t + (1/2)(t/2 + Sin(4π10t - π/2))/20 - 4Sin(2π10t - π/4)]0⁰₁

P ≈ 4.166 W

We can calculate the energy:

E = ∫-∞^∞ |Y(t)|² dt

E = T ∫0ⁿ |Y(t)|² dt

E = 0.1 ∫0^⁰¹ [(-4 + Cos(2π10t - π/4))² + Sin²(2π20t)] dt

E = 0.2 ∫0⁰¹ [16 + Cos²(2π10t - π/4) - 8Cos(2π10t - π/4)] dt

E = 0.2 [16t + (1/2)(t/2 + Sin(4π10t - π/2))/20 - 4Sin(2π10t - π/4)]0⁰¹

E ≈ 0.833 J

Learn more about power on

https://brainly.com/question/1634438

#SPJ1

Mark's work decreases when he climbs the same flight of stairs again in the same amount of time without the cello.

The correct answer is option D.

The amount of work Mark does depends on the weight of the cello, as well as the distance he climbs and the time it takes. Work is calculated using the formula :

Work = Force × Distance.
In the given scenario, Mark is carrying a full-sized cello while climbing the stairs. The weight of the cello adds to the force he exerts. So, the total force Mark exerts is the weight of the cello plus his own weight (375 N).

When Mark climbs the stairs with the cello, he is doing work against the force of gravity.

The work done is equal to the force exerted multiplied by the distance climbed (375 N + weight of cello) × 4 m.

Now, if Mark were to climb the same flight of stairs again in the same amount of time (3 seconds), but this time without the cello, the amount of work he does would decrease. This is because without the cello, the force exerted would only be Mark's weight (375 N), which is less than the total force exerted with the cello.

Therefore, mark's work decreases.

For more such questions on work visit:

https://brainly.com/question/28356414

#SPJ8

In insulator electric field is zero and direction of electric field is away from the center.

In a insulator (dielectric) there are no (not very many) portable charge transporters thus the outer electric field mutilates the electron shells around the cores so the iota behaves like a dipole.

Every one of the electrons are as yet bound to cores yet the "middle" of the electron cloud is as of now not incidental with the place of the core.

The actuated dipoles are arranged and produce a prompted electric field contrary to the initiating electric field. The general permittivity of the medium is a proportion of how well the initiated field goes against the outer inciting field.

So the higher the permittivity the more modest is the electric field inside the protector.

Affected by an outer electric field the versatile charge transporters in a transmitter improve themselves (the portable charge transporters really move inside the grid) so the prompted electric field that they produce is equivalent in extent and inverse in heading to the outside initiating field with the outcome that there is no electric field inside the channel - relative permittivity is boundless.

To know more about electric field,visit here:

https://brainly.com/question/26446532

#SPJ4

Answer:

The higher the energy, the shorter the wavelength.

Explanation:

Answer:

Current = 10 Amperes.

Explanation:

Given the following dat;

Quantity of charge, Q = 36 kilocoulombs (KC) = 36 * 1000 = 36000C

Time = 1 hour to seconds = 60*60 = 3600 seconds

To find the current;

Quantity of charge = current * time

Substituting in the equation

36000 = current * 3600

Current = 36000/3600

Current = 10 Amperes.

Answer:

nique ta mama  

Explanation:

Answer:

Hydraulic brake systems are used as the main braking system on almost all passenger vehicles and light trucks. Hydraulic brakes use brake fluid to transmit force when the brakes are applied.

Explanation:

According to Doerbecker and Ernst (1996) and Francart et al. (2011), interaural time difference (ITD) and interaural level difference (ILD) are the two primary auditory cues used by binaural hearing. The delay between each ear is known as ITD.

What technique best localizes sound between the two ears?

Rayleigh's view of horizontal sound localization has come to be known as the “duplex” theory: that sound localization at low frequencies relies on differences in phase at the two ears, or ITDs, and that high-frequency localization relies on interaural differences in sound level (ILDs).

What two variables affect sound localization?

The variation in the loudness of the sound in each ear and the time it took for the sound to reach each ear are two elements that affect how the sound is localized.

To know more about binaural hearing visit :-

brainly.com/question/29572149

#SPJ4

Answer:

6N

Explanation:

Given parameters:

Mass of object  = 6kg

Initial velocity  = 5m/s

Final velocity  = 25m/s

Time  = 30s

Unknown:

Net force acting on the object  = ?

Solution:

From Newton's second law of motion:

   Force  = mass x acceleration

Acceleration is the rate of change of velocity with time

  Acceleration  = \(\frac{Final velocity - Initial velocity }{time}\)  

  Force  = mass x  \(\frac{Final velocity - Initial velocity }{time}\)  

So;

 Force  = 6 x \(\frac{25 - 5}{30}\)    = 6N

D. The input rating of the furnace is determined as 100,000 BTU.

Input power rating means the power, expressed in Watts or one of its multiples, for which the energy storage unit has been designed to operate at nominal conditions.

eff = (output rating / input rating) x 100%

80/100 = 80,000 BTU / input rating

0.8 = 80,000 BTU / input rating

input rating = 80,000 BTU/0.8

input rating = 100,000 BTU

Thus, the input rating of the furnace is determined as 100,000 BTU.

Learn more about input rating here: https://brainly.com/question/5027692

#SPJ1

The net force on particle q3 is approximately -0.337 N.

To determine the net force on particle q3, we need to calculate the forces exerted on it by particles q₁ and q2.

The force between two point charges can be found using Coulomb's law, which states that the force (F) between two point charges is directly proportional to the product of their charges (q₁ and q₂) and inversely proportional to the square of the distance (r) between them.

Mathematically, Coulomb's law can be expressed as:

F = k * (q₁ * q₂) / r²

Where k is Coulomb's constant, which is equal to 9 × 10^9 N⋅m²/C².

Using this formula, we can calculate the forces between the particles:

Force between q₁ and q3:

F₁₃ = k * (q₁ * q₃) / r₁₃²

F₁₃ = 9 × 10^9 * (-75.8 × 10^-6) * (-84.2 × 10^-6) / (0.432)^2

F₁₃ ≈ 0.465 N (pointing to the left)

Force between q₂ and q3:

F₂₃ = k * (q₂ * q₃) / r₂₃²

F₂₃ = 9 × 10^9 * (90.6 × 10^-6) * (-84.2 × 10^-6) / (0.876 + 0.432)^2

F₂₃ ≈ 0.128 N (pointing to the left)

The net force on particle q3 is the vector sum of these two forces, which are pointing in opposite directions:

F_net = F₂₃ - F₁₃

F_net ≈ 0.128 N - 0.465 N

F_net ≈ -0.337 N (pointing to the left)

Therefore, the net force on particle q3 is approximately -0.337 N, which means it is being pulled to the left by the other two particles.

For more such questions on force, click on:

https://brainly.com/question/12785175

#SPJ11