a ski tow operates on a slope of angle 15.9 ∘ of length 290 m. the rope moves at a speed of 11.6 km/h and provides power for 51 riders at one time, with an average mass per rider of 73.0 kg. Estimate the power required to operate the tow.

The elongation of the spring under this load is 6.5 m (Option B)

The elongation of the spring can be obtained as illustrated below:

F = Ke

Divide both sides by K

e = F / K

e = 78 / 12

e = 6.5 m

Learn more about spring constant:

https://brainly.com/question/9199238

#SPJ1

Answer:

5.0×10^-9

Explanation:

velocity = frequency × wavelength

3.0×10^8=f600×10^-9

divide both sides by 600×10^-9

f=3.0×10^8/600×10-9

f=5.0×10^-9

The wavelength of an electromagnetic wave is 600 nm. The frequency of the electromagnetic wave is 5.0 × 10^14 Hz.

To find the frequency of an electromagnetic wave, we can use the equation:

Frequency (f) = Speed of light (c) / Wavelength (λ)

where:

c = speed of light in a vacuum = 3.0 × 10^8 m/s

λ = wavelength of the electromagnetic wave in meters

First, we need to convert the given wavelength from nanometers (nm) to meters (m). Since 1 nm = 1 × 10^-9 m, the wavelength is:

λ = 600 nm × (1 × 10^-9 m/nm) = 600 × 10^-9 m = 6.0 × 10^-7 m

Now, we can calculate the frequency using the equation:

f = c / λ

f = 3.0 × 10^8 m/s / (6.0 × 10^-7 m)

f = 5 × 10^14 Hz

So, the frequency of the electromagnetic wave is 5 × 10^14 Hz (hertz).

This means that the wave oscillates or completes 5 × 10^14 cycles per second. Higher frequencies correspond to shorter wavelengths and vice versa. Electromagnetic waves with higher frequencies are more energetic, such as X-rays and gamma rays, while waves with lower frequencies, like radio waves, have longer wavelengths and are less energetic.

Try to know more about electromagnetic wave :

https://brainly.com/question/29774932

#SPJ2

The age of a man whose normal blood pressure measures 123 mm of hg

9 years

A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic equation is y = a[tex]x^{2}[/tex] + bx + c, where a, b, and c are numbers and a cannot be 0

P(A) = 0.006 [tex]a^{2}[/tex] - 0.02a + 120

123 = 0.006- 0.02a + 120

0=0.006 [tex]a^{2}[/tex] - 0.02a - 3

you can use the quadratic equation  formula to solve for the man's age.

A = (-b ± ([tex]\sqrt{b^{2} - 4*a*c}[/tex])  ) / (2a)

A = (0.02 ±  [tex]\sqrt{(-0.02)^{2} - 4*0.006*(-3)}[/tex]/ (2*0.006)

A = (0.02 ± [tex]\sqrt{0.0076}[/tex]) / 0.012

A = 9 , -5.67

Age of the man will be 9 years

To learn more about quadratic equation  here

https://brainly.com/question/17177510?referrer=searchResults

#SPJ4

The fact that Voyager 10 continues to speed out of the solar system even though its rockets have no fuel, is an example of Newton's first law.

Sir Isaac Newton is a British mathematician, physicist, astronomer, alchemist, theologist, author, one of the greatest mathematicians and physicists of all time, and one of the most influential scientists. Widely recognized as a person. He was a key figure in the philosophical revolution known as the Enlightenment.

Isaac Newton is best known for his discoveries in optics (composition of white light) and mathematics (calculus). His best known is the formulation of the three laws of motion, which are the basic principles of modern physics.

Newton's first law states that a stationary or uniformly moving object remains straight unless its state is changed by the action of an external force.

Learn more about Newton's law here:https://brainly.com/question/14222453

#SPJ4

The heat that is required to freeze the water is 1250 kJ. Option B

The freezing point of water is the temperature at which liquid water turns to solid. We know that heat is withdrawn from water when it is frozen. This heat is added when the water melts.

The latent heat of fusion = mL

m =  3.75 kg

L = 333kJ/Kg

Hence;

H =  3.75 kg * 333kJ/Kg

H = 1250 kJ

Learn more about heat of fusion:https://brainly.com/question/14053504

#SPJ1

The  charge passing through the circuit in one second is 8 C.

Charge is property of matter that causes experience of force when kept in electric or magnetic field.

Electric charge exists as the physical property of matter that causes charged matter to experience a force when positioned in an electromagnetic field. Electric charges can be positive or negative. Like charges repulse each other and unlike charges attract each other.

Charge, also understood as electric charge, electrical charge, or electrostatic charge and symbolized by q, exists as a characteristic of a unit of matter that represents the extent to which it has more or fewer electrons than protons.

As we know

I =Q/t

where I is current and Q is charge ,t is time

so put the value in formula

8 = Q/

Q  =  8 coulomb.

To learn more about charge click here

https://brainly.com/question/25923373

#SPJ9

The only vertical forces acting on the wall are the weights of the man and the ladder as well as the normal force because the wall has no friction.

The maximal frictional forces are μsN2=(0.40)(900N)=360N, and N1=w1+wm=160N+740N=900N for the vertical forces to balance. At a height of 4.0 meters above the ground, the ladder makes contact with the wall. about the point of contact with the ground, balancing torques.

N2 = 174.0N because (4.0m)2 = (1.5m)(160N) + (1.0m)(35)(740N) =684N.m. It is necessary for the frictional force to counteract this horizontal force. Setting the frictional fore and n1 to a maximum of 360N and solving for the distance x along the ladder (0.4m)(360N)=(1.50m)(160N)+x(35)(740N) yields x=2.70m

When two sliding solid surfaces, fluid layers, or material components come into contact with one another, friction acts as a force to stop them from moving in the same direction. Friction comes in several forms:

The relative lateral motion of two solid surfaces in contact is opposed by dry friction. Between moving surfaces, there is kinetic friction, which is different from static friction. With the exception of atomic or molecule friction, asperities on the surface interact to produce dry friction.

When layers of a viscous fluid move in relation to one another, there is friction between them. This is known as fluid friction.

When a lubricant fluid separates two solid surfaces, it is called lubricated friction.

Learn more about friction here:

https://brainly.com/question/13030552

#SPJ4

Answer: A car heading north collides at an intersection with a truck of the same mass as the car heading east. If they lock together and travel at 28 m/s at 46° north of east just after the collision, then the car initially traveling with a velocity of 40.28m/s.

Explanation: To find the answer, we need to know more about the Perfectly inelastic collision.

               [tex]m_1v_1+0=(m_1+m_2)v_2\\[/tex]

               [tex]mv_1=(m+m)28 sin46\\v_1=2*28*0.719=40.28 m/s[/tex]

Thus, we can conclude that, the initial velocity of the car will be 40.28m/s.

Learn more about the perfectly inelastic collision here:

https://brainly.com/question/28045028

#SPJ4

the answer is 47265.dug

Explanation:

im bot sure

The velocity of the wood board which is resting on very smooth ice in the middle of a frozen lake relative to this ice is 0.905 m/s

It states the amount of momentum remains constant

Momentum of a moving body is the product of mass times velocity.

Formula for momentum:

When the two objects collides, then the initial collision of the two body is equal to the final collision of two bodies by the law of conservation of momentum.

here,

mass of wood, m=58.5 kg

mass of boy, M=41.7 kg

velocity of the boy V=1.27 m/s

Thus,

The conservation of momentum,

m*v = M*V

substituting the value,

(58.5*v) = 1.27* 41.7

v = 52.95 / 58.5

v = 0.905 m/s

Thus, the velocity of the wood board which is resting on very smooth ice in the middle of a frozen lake relative to this ice is 0.905 m/s.

Learn more about the conservation of momentum here;

https://brainly.com/question/3920210

#SPJ4

It is usually best to reduce speed to suggested limit when  a driver gets to a speed hump and is denoted as option D.

This refers to a situation in which the speed or acceleration of a body is reduced while in the other hand, acceleration refers to the condition in which a body increases its speed or acceleration.

Speed humps are structures which are placed in the road in other to slow vehicles to between 10 to 15 mph. They ensure over speeding is checked due to it being dangerous to other users.

Applying brake or maintaining current speed may lead to the vehicle being tilted towards the front end which may result in collision and other forms of accident.

This therefore the reason why reducing speed to suggested limit is the most appropriate choice.

Read more about Speed hump here https://brainly.com/question/9213903

#SPJ1

The frontage measure is 45 feet.

The British imperial and American customary systems of measurement both use the feet (standard symbol: ft) as a unit of length. One foot has exactly 0.3048 meters since the International Yard and Pound Agreement of 1959. One yard equals three feet in both customary and imperial measurements. One foot equals 12 inches.

Throughout history, numerous regional systems of units, including the Greek, Roman, Chinese, French, and English systems, included the concept of "feet." Its length varied from one nation to another, from one city to another, and occasionally from one trade to another. Its length was often divided into 12 inches or 16 digits, however this was not always the case. Its typical length was between 250 mm and 335 mm.

A lot contains 750 square yards and has a length of 150 feet, what does the frontage measure?

Learn more about feet here:

https://brainly.com/question/14582235

#SPJ1

Critical heat flux of forced convective boiling in uniformly heated vertical tubes with special reference to very large length-to-diameter ratios.

The rate of heat energy moving through a surface is known as heat flux, and the heat flux density is the amount of heat flux per unit area (Wm2).

Temperature measurements are a key component of many industrial systems. Measurements of heat flux and heat transfer provide more details. A heat flow typically occurs in conjunction with a change in temperature. A clearer picture of what's happening can be obtained by measuring both quantities.

The amount of thermal energy emitted over a solid surface is known as heat flux, and its unit is W/m2. There are two methods for measuring heat flux. Either directly utilizing heat flux sensors or indirectly using temperature sensors

To learn more about Heat flux please visit -
https://brainly.com/question/15136717
#SPJ4

The horizontal force needed to start the calculator moving from rest is 1.5 N

What is Kinetic friction?

It is defined as a force that acts between moving surfaces.

The magnitude of the force will depend on the coefficient of kinetic friction between the two materials.

Here,

weight of calculator, N = 3 N

The coefficients of static frictions, µ (static) = 0.50

The coefficients of kinetic frictions, µ (kinetic) = 0.40

Now,

The horizontal force required = The static friction force

F = µ (static) * weight of calculator

F = 0.50 * 3.0

F = 1.5 N

Hence,

The horizontal force needed to start the calculator moving from rest is 1.5 N

Learn more about   horizontal force here:

https://brainly.com/question/21481680

#SPJ4

The length of the uniform meter stick is 50 cm and the mass of the uniform meter stick is 50 g.

The sketch of the uniform stick and the mass will be two based on the given statement.

-------------------------------------------------------  

↓      10cm           Δ       (L - 10 cm)         ↓

200g                                                      M

|---------------15 cm-----------------|

-----------------------------------------------------------------------

              ↓      8.75 cm           Δ       (L - 15 cm)         ↓

          200g                                                               M

From the first diagram, apply principle of moment;

200(10) = M(L - 10) ------- (1)

From the second diagram, apply principle of moment;

200(8.75) = M(L - 15)   ------- (2)

From equation (1); M = (2000) / (L - 10)

From equation (2); M = (1750) / (L - 15)

Solve (1) and (2);

(2000) / (L - 10) = (1750) / (L - 15)

1750(L - 10) = 2000(L - 15)

L - 10 = 2000/1750(L - 15)

L - 10 = 1.143(L - 15)

L - 10 = 1.143L - 17.14

17.14 - 10 = 1.143L - L

7.14 = 0.143L

L = 7.14/0.143

L = 50 cm

M = (2000) / (50 - 10)

M = 50 g

Thus, the length of the uniform meter stick is 50 cm and the mass of the uniform meter stick is 50 g.

Learn more about length of meter stick here: https://brainly.com/question/17225736

#SPJ1

The average acceleration of the particle in the time interval of 9.8 s is 10.204 m/s² opposite to the direction of motion.

Given:

Speed of particle, v₁ = 80 m/s (in positive x-direction)

Speed of particle, v₂ = -20 m/s (in opposite direction)

Time interval, Δt = 9.8 s

Calculation:

We know that, the average acceleration is given as:

a_avg = (v₂ - v₁)/ Δt     - ( 1 )

Applying values in above equation we get:

a_avg = (v₂ - v₁)/ Δt

           = (-20 m/s - 80 m/s) / (9.8 s)

           = -10.204 m/s²

Therefore the average acceleration of the particle in the time interval Δt is 10.204 m/s² opposite to the direction of motion.

Learn more about average acceleration here:

https://brainly.com/question/27184422

#SPJ4

Work is being done when Jessica pushes a 25 kilogram cart a distance of 10 meters and Bane carries a 20 kilogram box a distance of 50 meters.

Work is the product of force and distance in the direction of the force. And the S.I unit of work is Joule

Looking at the given options one by one;

O Jessica pushes a 25 kilogram cart a distance of 10 meters. Work is done by Jessica. The work done = 25 x 10 x 10 = 2500 Joules

O A weightlifter holds a 100 kilogram barbell over his head. The weightlifter does no work.

O Bane carries a 20 kilogram box a distance of 50 meters. Bane does work. The work done = 20 x 10 x 10 = 2000 Joules

O Ali is trying to push a truck away from the parking lot. Since there is no movement, there is no work done.

Therefore, Work is being done when Jessica pushes a 25 kilogram cart a distance of 10 meters and Bane carries a 20 kilogram box a distance of 50 meters.

Learn more about Work here: https://brainly.com/question/25573309

#SPJ1

The prove of  Angle XYZ- Angle NYM is given below:

Note that from the image given;

Since ∠XYZ is said to be congruent to ∠NYM it can be proven by the use of the reflexive property.

The reflexive property is one that informs that any shape is regarded congruent to itself.

Since ∠NYM has a different way to call ∠XYZ that uses a different vertexes, but the sides are made up of the two angles which are said to be the same.

Therefore , ∠XYZ ≡ ∠NYM are proved by the reflexive property.

Since ΔXYZ is the same with Δ NYM, it can be proven by the AA (angle-angle) similarity theorem.

We have 2 angles Δ XYZ and Δ NYM:

Note that ∠YXZ ≡ ∠YNM

              ∠XYZ ≡ ∠NYM

So,  ΔXYZ is said to be the same to ΔNYM and it is proven by the AA similarity theorem.

Therefore, The prove of  Angle XYZ- Angle NYM is given below:

Learn more about triangles from

https://brainly.com/question/10468052

#SPJ1

Answer:

1. parrael

2. corresponding angles theorem

3. NYM

4. AA

Explanation:

just took it

Estimate technique capability ratio (cp, cpk, pp, PPK) is Cp = 1.33 or greater. & Cpk price ≥ 1.33.

Cp, Cpk, Pp, and Ppk are all parameters (indices) that can help us to apprehend how our technique is working relative to the specs, or in different words, they degree how near our system is jogging to its specification limits. For necessities, we measure the process specs.

The Cp index is a fundamental indication of process capability. The Cp value is calculated using the specification limits and the same old deviation of the method. most agencies require that the method Cp = 1.33 or greater. Cp and Cpk, generally called technique functionality indices, are used to outline the ability of a technique to produce a product that meets necessities.

For stable tactics and normally distributed statistics, a Cpk price ≥ 1.33 should be executed. • For chronically unstable methods with output assembly specification and a predictable sample, a Ppk fee ≥ 1. sixty-seven have to be completed.”

Learn more about limits here:-https://brainly.com/question/27585271

#SPJ4

Answer:

The 1st orbital has no nodes.

Explanation:

A 2s orbital has 1 node and a 1s orbital has no nodes, therefore it is higher in energy than a1s orbital. Also, a 2s orbital is higher in energy because the radius is larger than for a 1s orbital and, therefore, the probability of finding an electron farther from the nucleus is greater in a 2s orbital.

The number of nodes is equal to (n-1) therefore, 1s-orbitals do not have any node at the nucleus.  

A node is a point where the probability of finding an electron is zero. For a given orbital, the two kinds of nodes are radial nodes and angular nodes.

A radial node is a spherical plane where the probability of finding an electron in an orbital is zero. The number of radial nodes increases with the principal quantum number (n) as it is given by (n- l - 1) and is also known as a nodal region.

An angular node is a plane that passes through the nucleus. The angular node is given by the azimuthal quantum number 'l' and is also known as a nodal plane.

The total number of nodes in orbitals is equal to n - 1. Therefore, the nodes in 1s -orbital (1-1) = 0.

Learn more about nodes, here:

https://brainly.com/question/5097640

#SPJ2

The speed with which the puck must rotate in the circular path is 5.42 m/s.

The speed of the puck is calculated as follows;

centripetal force = weight of hanging mass

mv²/r = W

where;

v² = Wr/m

v² = (1.2 x 9.8 x 0.5) / (0.2)

v² = 29.4

v = √29.4

v = 5.42 m/s

Thus, the speed with which the puck must rotate in the circular path is 5.42 m/s.

The complete question is below:

With what speed must the puck rotate in a circle of radius 0.50 m if the block is to remain hanging at rest?

Learn more about circular path here: https://brainly.com/question/15457645

#SPJ1

The moon setting on your way to work about two hours after sunrise means it is in the gibbous phase.

This phase of the moon involves its side facing the Earth appearing more than half-lit by the Sun, but is less than fully lit.

This phase occurs few hours after sunrise usually in the early morning which is why it is the most appropriate choice.

Read more about Gibbous phase here https://brainly.com/question/3729811

#SPJ1

Wave power can be regarded as a reliable source of energy because the ocean currents are always moving.

Wave power is a device that can be used to convert the mechanical energy of the ocean waves into electrical energy based on the principle of conservation of energy.

The major challenges that face the use of wave power in electricity generation is the unreliability of the waves which leads to uncertainty in the quantity of power generated Also, the wave direction and direction of ocean currents all limit the amount of power generated by this method. However, in spite of challenges, it can be regarded as a reliable source of energy because the ocean currents are always moving.

Learn more about wave power:https://brainly.com/question/1362067

#SPJ1

The tension in the supporting cable when the cab originally moves downward is 18422.4 N

What is tension?

Tension is described as the pulling force by the means of a three-dimensional object.

Tension might also be described as the action-reaction pair of forces acting at each end of said elements.

Here,

m =combined mass = 1600 kg

s = Displacement of the elevator = 42 m

g = Acceleration due to gravity = 9.81 m/s²

u = Initial velocity = 12 m/s

v = Final velocity = 0

According to the equation of motion:

[tex]v^{2} - u^{2} = 2as[/tex]

0 - 12^2 = 2*a*42

a = - 144 / 84

a = - 1.714 m/s^2

Now let's write the equation of the forces acting on the elevator. Taking upward as positive direction:

T-mg = ma

T = m(g-a)

T = 1600 ( 9.8-(-1.74))

T=18422.4 N

Hence,

The tension in the supporting cable when the cab, originally moving downward is 18422.4 N

Learn more about tension here:

https://brainly.com/question/13772148

#SPJ4

No, the use of a giant vacuum-like strainers is not an effective way to remove plastic because the patch tend to be very big and deep that it would need a lot of human effort or strength to filter the trash and the act would lead to disrupt of life in the water column.

Plastic is known to be a term that connote the  material that is made up of a key ingredient of an organic substance and it is made up of large molecular weight.

Note that It is also seen as polymers that belongs to long carbon chains. and there are a lot of waste disposal in the ocean which disrupt marine activities.

Hence, No, the use of a giant vacuum-like strainers is not an effective way to remove plastic because the patch tend to be very big and deep that it would need a lot of human effort or strength to filter the trash and the act would lead to disrupt of life in the water column.

Learn more about plastic from

https://brainly.com/question/24617820

#SPJ1

The apparent weight of a 1.1 g drop of water is 4.24084 N.

Solution:

N = Speed of rotation = 1250 rpm

D = Diameter = 45 cm

r = Radius = 22.5 cm

M = Mass of drop = 1.1 g

Angular speed of the water = [tex]\omega = \frac{2\pi N}{60}[/tex]

[tex]\omega = \frac{2\pi \times 1250}{60}[/tex]

[tex]\omega = 130.89 rad/s[/tex]

Apparent weight is given by

[tex]W _a = M\omega^{2}R[/tex]

[tex]W_a = 1.1 \times 10^-^3\times (130.89)^2\times 0.225[/tex]

[tex]W_a[/tex] = 4.24084 N

Know more about Apparent weight https://brainly.com/question/14323035

#SPJ4

Question:

The spin cycle of a clothes washer extracts the water in clothing by greatly increasing the water's apparent weight so that it is efficiently squeezed through the clothes and out the holes in the drum. In a top loader's spin cycle, the 45-cm-diameter drum spins at 1250 rpm around a vertical axis. What is the apparent weight of a 1.1 g drop of water?

The induced emf in the loop is  -1500 μ V or  - 0.0015 V  .

According to the question

A conducting loop in the form of a circle is placed perpendicular to a magnetic field of 0. 50 t.  

i.e

Magnetic field (B) = 0. 50 T

Area of circle or loop = [tex]\pi r^{2}[/tex]  

Now,

The area of the loop decreases at a rate of 3. 0 × 10⁻³ m/s

i.e

dA = 3. 0 × 10⁻³ meter²

dt = 1 sec  

As per the formula of Induced e.m.f in the loop

emf is dependent on number of turns of coil, shape of the coil, strength of magnet and speed with which magnet is moved. Emf is independent of resistivity of wire of the coil.

[tex]e=-B*\frac{dA}{dt}[/tex]

where A is the area of the loop.

Now ,

Substituting the values in the formula

[tex]e=-B*\frac{dA}{dt}[/tex]

[tex]e= - 0.50 *\frac{ 3 * 10^{-3}}{1}[/tex]    

e = - 0.0015 V

OR

e = -1500 * 10⁻⁶ V

e =  -1500 μ V

Negative just signifies emf will such be induced that current induced will oppose change in magnetic field though it

To know more about induced emf here:

https://brainly.com/question/16764848

#SPJ4

The energy converted is 48 Joules

We have the formula for energy in a circuit as

Energy = Power × time

Power = I^2 R

Current, I = 2.0 A

time = 1 minute

Resistance = 12 Ohm

Substitute into the formula

Power = 2 × 2 × 12

Power = 48 Watts

Energy = 48 × 1

Energy = 48 Joules

Thus, the energy converted is 48 Joules

Learn more about energy in a circuit here:

https://brainly.com/question/14950715

#SPJ1

The type of repetitions that are completed with an intentionally reduced range of motion is called Partial repetitions. That is option A.

Repetitions in exercise is defined as a complete exercise movement done during a workout procedure.

The different types of repetitions include the following:

Partial repetitions are those types of repetitions that are carried out while removing some part of the range of motion in the exercise.

Learn more about motion here:

https://brainly.com/question/25951773

#SPJ1