What is the formula for mechanical?

The designated length of a ladder refers to the maximum length that a ladder can safely be used for. This length is determined by the manufacturer and is based on various factors.

Designated Length depends on factors like:

The designated length is typically marked on the ladder itself and is usually the distance from the ground to the highest rung that can be safely reached. It is important to note that the designated length does not refer to the overall length of the ladder, but rather the distance it can be safely extended.

Exceeding the designated length of a ladder can be extremely dangerous and can result in the ladder collapsing or becoming unstable. This can lead to serious injury or even death. It is therefore essential to always use a ladder within its designated length, and to follow all safety instructions provided by the manufacturer.

In addition to following the designated length, it is also important to use a ladder on a stable surface and to ensure that it is properly secured. This will help to prevent accidents and ensure that the ladder is used safely and effectively.

Learn more about length here:

https://brainly.com/question/17577666

#SPJ4

The final velocity, when initial velocity, acceleration are given, is calculated to be -3 m/s. Minus sign represents opposite direction.

From the equations of motion, we should select a correct equation which relates initial velocity, final velocity, acceleration and time.

It is said that the object starts at the origin.

The initial velocity of the object is given as 3 m/s

The acceleration of the object is given as -2 m/s²

The final velocity after 3 sec is to be calculated.

So, the suitable equation of motion is, v = u + a t

where, v is final velocity

u is initial velocity

a is acceleration

t is time

Let us put in the values into the above equation.

v = u + a t

v = 3 + (-2) (3) = 3 - 6 = -3 m/s

3 m/s in the opposite direction from that of the initial velocity.

To know more about final velocity:

https://brainly.com/question/30270063

#SPJ4

Change in kinetic energy is 80J.

We know that change in kinetic energy is total work done by the object.

i.e. Change in KE = Force * Displacement

Given, Force = 8N

           Displacement = 10m

Putting these values in above equation we get: KE = 8*10 = 80 N.

To know more about kinetic energy visit:

https://brainly.com/question/8522808

#SPJ4

Answer: On this scale,Alpha centauri would be 1.48×10∧6

metres or about 890 miles away.

Explanation: If the sun were scaled to a 1 foot radius  , then alpha centauri would be about 10,000 miles away.

The point where the lunar gravitational force becomes equal in magnitude to the Earth's gravitational force is called the "Lagrange point," and it is located approximately 1.5 million kilometers from the Moon in the direction of Earth.

At this point, the gravitational forces of the Earth and the Moon balance each other out, and a spacecraft can remain in a stable position without using any fuel. This makes the Lagrange point an ideal location for a spacecraft to rest or make observations, as it requires minimal effort to maintain position.

It is important to note that beyond this point, the Moon's gravitational force begins to dominate, and the spacecraft would be pulled towards the Moon. However, by using the right combination of velocity and trajectory, a spacecraft can be sent directly from the Earth to the Moon and land on the lunar surface.

You can learn more about spacecraft at

https://brainly.com/question/24571549

#SPJ4

The combined moment of the two forces about ;Moment about point O = 0

,Moment about point C = 52 lb · 8 ft = 416 lb · ft,Moment about point D = 52 lb · 4 ft = 208 lb · ft.

Force is an influence that causes an object to move, stop, or change its direction. It can be a push or pull, and can result from interaction with another object, person, or object of nature. Force can also be caused by non-contact interactions such as electric fields, magnetic fields, and gravitational forces. Force can be measured in Newtons, which is the amount of force required to accelerate a one-kilogram mass by one meter per second squared.

To learn more about forces

https://brainly.com/question/12970081

#SPJ4

The centripetal force on the electron in the first orbit of the hydrogen atom would be 81.75 x 10⁻⁹.

The main points of Bohr's model of atom are -

Given is that an electron (e⁻) (m = 9.1 x 10⁻³¹ kg) moving at 2.18 x 10⁶ m/s (in a Bohr orbit in the H atom).

The radius of first Bohr orbit of hydrogen atom is -

{r} = 0.529 A˚ = 0.529 x 10⁻¹⁰ m.

The centripetal force on the electron in the first orbit of the hydrogen atom would be -

F = mv²/r

F = (9.1 x 10⁻³¹)(2.18 x 10⁶)²/0.529 x 10⁻¹⁰

F = 81.75 x 10 ⁻³¹ ⁺ ¹² ⁺ ¹⁰

F = 81.75 x 10⁻⁹

Therefore, the centripetal force on the electron in the first orbit of the hydrogen atom would be 81.75 x 10⁻⁹.

To solve more questions on quantum mechanics, visit the link below-

brainly.com/question/1041084

#SPJ1

Answer:its 1.9 10^26

Explanation:

Explanation:

The gravitational force between two masses, m1 and m2, separated by a distance, r, can be calculated using the formula:

F = G * (m1 * m2) / r^2

where

F is the gravitational force,

G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2),

m1 is the mass of the first object,

m2 is the mass of the second object,

r is the distance between the centers of the two objects.

Plugging in the values:

F = G * (7.34 x 10^22 kg * 5.97 x 10^24 kg) / (3.88 x 10^8 m)^2

= (6.67 x 10^-11 Nm^2/kg^2) * (4.36 x 10^47 kg^2) / (15.0244 x 10^16 m^2)

= 2.80 x 10^22 N

So, the moon produces a gravitational force of 2.80 x 10^22 N on the Earth when their centers are 3.88 x 10^8 meters apart.

Rotating objects are subject to centripetal and centrifugal forces. An object is kept moving in a circle by the centripetal force, which is always directed toward the center of the circle.

As an illustration, the centripetal force of the sun's gravitational field maintains the Earth rotating around it. The centrifugal force, meanwhile, is an apparent outward force acting on a rotating object.

The sensation you get while riding a merry-go-round that makes you want to fly outwards is an illustration of centrifugal force.

Centrifugal force is felt by passengers when they turn a corner in an automobile or when an aircraft banks into a turn. When kids ride on a merry-go-round or during a washing machine spin cycle, it happens.

Therefore, Rotating objects are subject to centripetal and centrifugal forces. An object is kept moving in a circle by the centripetal force, which is always directed toward the center of the circle.

To learn more about Centrifugal force, refer to the link:

https://brainly.com/question/13259103

#SPJ1

The time taken by the rocket to move with the velocity of 45 cm/s is 675 seconds.

The force applied by the rocket = 50 N

The mass of the spacecraft = 75,000 kg

The velocity of the rocket = 45 x 10⁻² m/s

The time taken by the rocket can be found using the formula,

               F = mv/t

where F is the force applied

           m is the mass of the spacecraft

           v is  the velocity of the rocket

           t is the time taken by the rocket

Let us rearrange the above equation, we get

               t = mv/F

Let us substitute the known values in the above equation, we get

              t = 75,000 x 45 x 10⁻² / 50

                = 33750 / 50

                = 675 seconds

Therefore, the time taken by the rocket is 675 seconds

Learn more about the force in

https://brainly.com/question/1046166

#SPJ4

The force of a golf club on a golf ball is 200 N forward, according to Newtons third law of motion, every action has an equal and opposite reaction. Thus, the force of the ball on the club will be the same as 200 N but will act in the opposite direction, i.e., backward.

However, one source stated that the force of a golf club on a golf ball is 22.5 N but it was later found to be incorrect due to an error in calculation

The force of the ball on the club will be 200 N backward as a result of the equal and opposite reaction according to Newton's third law of motion.

Find out  more about Force

brainly.com/question/26318686

#SPJ4

Placing a positive charge in the center of a screen will produce an electric field, which can be observed as lines of force that radiate away from the charge. Moving the charge around will cause the electric field to change direction and magnitude.

An electric field is a field of force that exists around a charged object and affects other charged objects within the field. The electric field can be visualized as lines of force that radiate away from the charge, and the direction of the lines of force indicates the direction of the force that the electric field will exert on another charged object.

When a positive charge is placed in the center of a screen, the electric field will radiate away from the charge in all directions. The strength of the electric field will be greatest close to the charge and will decrease as you move further away from the charge. You can observe the electric field by drawing the lines of force, or by using a simulation to visualize the electric field.

To learn more about electric field, visit:

https://brainly.com/question/15800304#

#SPJ11

The man who set up the first psychology laboratory was Wilhelm Wundt

The psychology laboratories are specially designed spaces where psychology students can gather data from human subjects using the same tools as licensed psychologists.

It can be noted that in 1879, Wundt founded the first psychological laboratory of the world in Leipzig, Germany, where he mainly studied sensations and feelings by employing experimental methods.

Read more about the laboratory here:

https://brainly.com/question/27748008

#SPJ1

The required intensity of laser beam when light power and diameter are given is calculated to be 1.875 × 10³ w/m².

Power of light is given as 1.2 mw = 1.2 × 10⁻³ w

Diameter of the beam is given as 0.90 mm = 0.9 × 10⁻³ m

So, area = (π d²)/4 = π (0.9 × 10⁻³)²/4 = 0.64 × 10⁻⁶ m²

Now let us calculate the intensity of the beam, it is given by the formula, I = P/A

where, P is power

A is area

Putting values in the above equation, we have,

I = P/A = (1.2 × 10⁻³)/(0.64 × 10⁻⁶) = 1.875 × 10³ w/m²

To know more about intensity:

https://brainly.com/question/13088128

#SPJ4

The component of displacement in the x-direction is -20.8272 m. displacement in x direction = -20.8272 m

initial walk = 10.5 m

Toward 20 degree west of north, then 22.5 m toward 40 degree south of west;

Total distance in x direction = -20.8272 m;

Sum of x components = -10.5 * sin(20) + (-22.5 * cos(40));

The x-axis component of the displacement vector from P1 to P2 is (x2 - x1), and the y-axis component is (y2 - y1). It is possible to write d = (x2 - x1)i + (y2 - y1)j to represent the displacement vector d from P1 to P2. (x2 - x1) units in the x-direction plus (y2 - y1) units in the y-direction make up the displacement d. The x-component and y-component are typically thought of as the components of a vector in a two-dimensional coordinate system. V = (vx, vy), where V is the vector, can be used to express it. They are the components of the vectors produced along the axes.

Question

Suppose you first walk 10.5 m in a direction 20 degree west of north and then 22.5 m in a direction 40 degree south Of west.

what is the component of your displacement in the x-direction, in meters?

Learn more about x-direction from here:

https://brainly.com/question/13899230

#SPJ4

The rod's center of mass is measured from the left end of the rod is X=(2/3)l.

As we know that the linear density of a rod is as λ(x)= dM/dx.

So, dM = λ(x)dx

Integrate the above equation with the interval [0, l], and we get:

[tex]M=\int\limits^l_0 {\lambda(x)} \, dx \\M=\int\limits^l_0 {A(x)} \, dx \\M = A(\dfrac{x^2}{2} )\limits^l_0[/tex]

M = Al²/2   .....(1)

The rod's center of mass is measured from the left end of the rod expressed as follows:

[tex]X=\frac{1}{M} \int\limits^l_0 {x \lambda(x)} \, dx\\X = \frac{1}{M} \int\limits^l_0 {x (Ax)} \, dx\\X=\frac{1}{M}A(\frac{x^3}{3} )_0^l[/tex]

X = (1/M)Al³/3

Substitute the value of M = Al²/2 in the above equation,

X = [1/(Al²/2)]Al³/3

X = (2/3)l

Therefore, the rod's center of mass is measured from the left end of the rod is X=(2/3)l.

Learn more about the center of mass here:

https://brainly.com/question/16977674

#SPJ12

Assuming that the car moves with a constant acceleration, the average acceleration over the 4 second period can be calculated as follows:

Average acceleration = (70 mph - 30 mph) / (4 s) = 15 mph / s

This means that the car accelerates from 30 mph to 70 mph in 4 seconds, with an average acceleration of 15 mph per second.

Furthermore, the acceleration can be used to calculate the velocity of the car at any given point in the 4 second period. The equation for this is:

Velocity = Initial Velocity + Acceleration * Time

Therefore, the velocity of the car at 1 second is 30 mph + 15 mph/s * 1s = 45 mph, and the velocity of the car at 2 seconds is 30 mph + 15 mph/s * 2s = 60 mph. This can be extended for the entire 4 second period.

Learn more about the velocity of the car:

https://brainly.com/question/25749514

#SPJ4

The moment of inertia of a rod with respect to an axis perpendicular to its length and passing through its end can be calculated as follows:

I = (1/12) * mL^2,

where m is the mass of the rod and L is its length.

The moment of inertia of a point mass at a distance r from the axis of rotation can be calculated as follows:

I = mr^2.

In this case, the maximum moment of inertia occurs when the two larger weights are placed at the ends of the rod and the pivot point is placed at the middle. This way, both weights are located as far away from the axis of rotation as possible and thus contribute the maximum amount to the moment of inertia.

The moment of inertia in this case can be calculated as:

I = (1/12) * mL^2 + m_1 * (L/2)^2 + m_2 * (L/2)^2

= (1/12) * 2.2 * 1.6^2 + 0.25 * (1.6/2)^2 + 1.0 * (1.6/2)^2

= 0.53 kg m^2.

This is the maximum possible moment of inertia for this system.

Learn more about the moment of inertia here: https://brainly.com/question/29353886

#SPJ4

10 Joule hav an equal value of 90,000 gr.cm².s² in a system with 10 cm, 100 gram, and 30s as the fundamental units.

Joule is a standard units consisted of kg, m², and s² units. We can breakdown the value of 1 Joule into:

1 Joule = 1 kg.m²/s²

Hence, the value of 10 Joule equals to:

10 Joule = 10 kg.m²/s²

Next, we need to assume N as the converted value under the given fundamental units. The value of 10 Joule in the fundamental units will be:

10 Joule = N (100gr) (100cm) (30s)

10 kg. m²/s² = N (100gr) (100cm) (30s)

10 kg. m² s⁻² = N (100gr) (100cm) (30s)

N = 10 (kg/10gr) (m/100cm)²  (s/30s)⁻²

N = 10 (1000gr/100gr) (100cm/100cm)²  (1s/30s)⁻²

N = 10 (10gr) (1cm)²  (1/30 s)⁻²

N = 10 (10gr) (1cm²) (30s)²

N = 90,000 gr.cm².s²

Learn more about Joule here: brainly.com/question/10712856

#SPJ4

The Lagrangian of the system can be written as L = T - U, where T is the kinetic energy of the mass and U is the potential energy. The kinetic energy T is given by [tex]T = \frac{1}{2}mv^2[/tex]

where v is the velocity of the mass. The potential energy U is given by

[tex]U = -F_0r^n[/tex]

The Euler-Lagrange equation of motion is given by d/dt (dL/dq) = dL/dq, where q is a generalized coordinate. In this case, q = r, so the equation of motion becomes:

[tex]\frac{d}{dt} \left(\frac{dL}{dr}\right) = \frac{dL}{dr} = \left(\frac{d}{dt}\right) \left(mv\right) = F = -F_0 r^n[/tex]

Conserved quantities in this system are the total energy E = T + U and the radial component of angular momentum, L = rp, where p is the radial momentum.

The effective potential energy of the system is given by

[tex]U_e_f_f = U + L^2/(2mr^2)[/tex]

The effective potential energy helps to understand the motion of the mass by including the effects of both the potential energy and angular momentum. It acts as an effective potential barrier, and the mass will move towards the origin if its total energy E is less than the minimum of the effective potential energy [tex]U_e_f_f[/tex].

Find more about Euler-Lagrange equation

brainly.com/question/15859582

#SPJ4

A car moves along a straight line . The velocity of car at start will be 12m/s.

Option C is correct.

s = 12t + 3t² - 2t³

[tex]\frac{ds}{dt}[/tex] = 12 + 6t - 6t

so t = 0 then

[tex]\frac{ds}{dt}[/tex] = 12 m/s

A vector representation of the time-dependent displacement experienced by an object or particle is velocity. The meter per second (m/s) is the standard unit of velocity magnitude, which is also known as speed. Alternately, the magnitude of a velocity can be expressed in centimeters per second (cm/s).

Because velocity has magnitude as well as direction, it is a vector quantity. Speed, on the other hand, is a scalar quantity because it only has a magnitude and no direction.

Uniform velocity, variable velocity, average velocity, and instantaneous velocity are the various velocities

Learn more about velocity:

brainly.com/question/24445340

#SPJ4

If high temperature gas enters compressor, than although the compressor's capacity declines with increasing superheat, its current consumption reduces because less vapour is drawn in during the suction stroke.

A compressor is a mechanical device that lowers a gas's volume while raising its pressure. An air compressor is one distinct case of gas compressor. Two very different pumps and compressors can convey a fluid through a pipe while increasing the fluid's pressure.

The molecules in a hot gas move more quickly than those in a cold gas; while the mass of the gas doesn't change, the kinetic energy does, which raises the temperature.

To learn more about  compressor here

brainly.com/question/9131351

#SPJ4

The electric field is constant between the plates except near the edges.

To know more about electric field visit:

https://brainly.com/question/30490892

#SPJ4

Answer:

A device that measures the amount of chemicals released into the air by a factory.

A. magnitude of the net displacement is 10.4 mm.

B. The magnitude of the net displacement would have been 11.7 mm.

A. The magnitude of the resulting vector, which is created by summing the vectors D1, D2, and D3, provides the size of the net displacement, in mm. The Pythagorean Theorem may be used to calculate the following:

[tex]|D1+D2+D3| = \sqrt((3.8)^2 + (-3.4)^2 + (-2.2)^2 + (2.9)^2 + (-7.7)^2 + (2.8)^2 + (-7.7)^2 + (2.8)^2 + (2.9)^2) \\\\ =10.4 mm[/tex]

Therefore,the magnitude of the net displacement is 10.4 mm.

B.The magnitude of the net displacement would be determined by the magnitude of the total of the vectors, which would be equal to the sum of the magnitudes of the individual vectors, if all three displacements (with the same magnitudes as D1, D2, and D3) were in the same direction.

if the three displacements were in the same direction. This can be calculated as follows:

[tex]|3D1| = 3\sqrt((3.8)^2 + (-3.4)^2 + (-2.2)^2) \\ \\ = 11.7 mm[/tex]

Therefore, the magnitude of the net displacement would have been 11.7 mm.

learn more about magnitude Refer:brainly.com/question/2596740

#SPJ4

Charge on third sphere is 5.1MC after making a contact with the other two metallic conducting spheres.

Specifically, in the event that a metal sphere is charged, since charge can stream unreservedly through a metal, the self-shock of charges will bring about all the charge living on the outer layer of the sphere, which then, at that point, acts as an empty circular accuse dispersion of zero electric field inside.

From the given data, Q1 and Q2 are brought into contact as they are both conductors,  as such there will be evenly distribution of charges.

Firstly,charge on each sphere(Q) = Q1 + Q2 / 2

                               = +7.8 MC + (- 1.4 MC) / 2

                              =>+7.8 MC +  (-0.7)MC = 7.1MC

Now, one of those two spheres is brought into contact with the third sphere ; Q is brought into contact with Q4 = Q + Q3 / 2

                                                                 = 7.1MC - 4 MC /2

                                                                  =7.1MC -2MC

                                                                  = 5.1 MC

Hence,5.1MC is the final charge on the third sphere.

To know more about charge,visit here:

https://brainly.com/question/27134390

#SPJ4

(Complete question) is:

Three identical metallic conducting spheres carry the following charges: Q1 = +7.8 MC, Q2 = −1.4 MC, and Q3 = −4,0 MC. The spheres that carry the charges Q1 and Q2 are brought into contact. Then they are separated. After that, one of those two spheres is brought into contact with the third sphere that carries the charge Q3. What is the final charge on the third sphere?

The ATV professional was going at a speed of approximately 2.3 km/h.

To determine the speed of the ATV professional who is racing around the track we can use the distance formula.

Distance = speed × time

Rearranging the equation we get the equation for speed as

Speed = Distance ÷ Time

Given that the ATV professional raced down 19 meters in 30 seconds time, we can calculate his speed as follows

distance = 19 meters
time = 30 seconds

Speed = 19 meters ÷ 30 seconds

Which is equal to 0.633 meters/second

This speed is expressed in meters per second (m/s). To convert this to kilometers per hour (km/h), you can multiply by 3.6 hence the final result can be formulated as

0.633 m/s x 3.6 = 2.3 km/h

Learn more about speed:

https://brainly.com/question/28224010

#SPJ4

The technique in the above image is a form of asexual reproduction (option A).

Reproduction is the act of making copies of new individuals biologically.

Asexual reproduction is a type of reproduction which a new offspring is produced by a single parent. The new individuals produced are genetically and physically identical to each other.

Asexual reproduction is observed in both multicellular and unicellular organisms. According to the image attached above, a cutting of a parent plant is used to produce a new organism, hence, is a form of asexual reproduction.

Learn more about asexual reproduction at: https://brainly.com/question/4100787

#SPJ1

Accretion is the process when new planets formed in a cloud of dust and debris surrounding our young sun.

The solar nebula is a whirling disk generated by the remaining portion of the cloud. Scientists think that dust and ice particles buried in the gas migrated inside the solar nebula, occasionally clashing and clumping together.

These tiny particles created larger things through a process known as "accretion," which eventually led to the formation of planetesimals with sizes up to a few kilometers across.

Planetesimals in the hotter, inner region of the solar nebula were primarily made of silicates and metals. Water ice predominated in the outer, colder region of the nebula.

Learn more about solar system at

https://brainly.com/question/27938451

Complete question is

What is the process when new planets are formed in a cloud of dust and debris surrounding our young sun known as ?

The wavelength of sound waves of frequency 23 kHz that travel through the fluid is 0.064 metres.

V =  1480 m/s

f =   23 kHz

We know the relation

V =  f λ

V= velocity in a particular medium

f =  frequency

λ  =   wavelength of sound wave

λ=   [tex]\frac{1480}{23000}[/tex]

λ  =  0.064 metre

To learn more about Wavelength

brainly.com/question/17310611

#SPJ4