What is the diferrence between shear stress and shear strain

Answer:

1.1111.22222

Explanation:

A student uses a ruler to measure the length and width of a small rectangular metal plate. 14.7 \(\rm cm^2\) is the area of the plate. Therefore, the correct option is option C.

The size or extent of a two-dimensional surface is described by the mathematical concept of area. It is a measurement of the area contained by a closed figure on a flat surface, such as a square, rectangle, circle, triangle, or other. Depending on the measurement system being used, the area of a form is often stated in square units, such as square metres (m2), square feet (ft2), square centimetres (cm2), or square inches (in2).

Length, l=4.2 cm

width, w=3.5 cm

Area, A=lw

=3.7×3.5

=14.7 \(\rm cm^2\)

To know more about area, here:

https://brainly.com/question/30307509

#SPJ4

Your question is incomplete but most probably your full question was,  

Answer:

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

\(a = \frac{f}{m} \\ \)

f is the force

m is the mass

From the question we have

\(a = \frac{4200}{1500} = \frac{42}{15} \\ = 2.8\)

We have the final answer as

Hope this helps you

The amount of work done per second by the horse exerting a force of 1800 N on a wagon moving with a speed of 0.4 m/s  is 720 J/s.

Power is the work done by a body in one second.

To calculate the work done by the horse in one seconds, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the amount of work done per second by the horse is 720 J/s.

Learn more about power here: https://brainly.com/question/25864308

#SPJ1

Complete question: A wagon is pulled at a speed of 0.40 m/s by a horse exerting 1800 Newtons of horizontal Force. how much work was done by the horse per second.

An electromagnet consists of a conductive wire wrapped around a magnetic core, creating a magnetic field when an electrical current is passed through it.

For more questions on electromagnet

https://brainly.com/question/26616379

#SPJ8

When reading the simile "Bolt runs as fast as lightning," the most appropriate visual interpretation would be that "Bolt runs very fast."

This simile compares Bolt's speed to that of lightning, which is known for its incredible swiftness. The intention is to emphasize Bolt's exceptional speed by equating it to the rapid movement of lightning.

While the simile highlights Bolt's remarkable speed, it does not specify the manner in which he runs or the impact of each step. Therefore, the options suggesting Bolt runs in a straight line, in a wavy manner, or that each step produces thunder are not directly implied by the simile itself. These additional details go beyond the comparison of speed and introduce elements that are not explicitly mentioned.

Hence, the most accurate interpretation based solely on the simile is that Bolt runs very fast, comparable to the speed of lightning.

Know more about the simile here:
https://brainly.com/question/1443894

#SPJ8

For signs of such collisions on the moons of the outer planets, look for craters, ray systems, fissures and fractures, melted or evaporated material, and changes in the moon's surface composition.

Huge fragments of the newly discovered comet Shoemaker-Levy 9 (SL9) collided with Jupiter over a period of days from July 16 to 22, 1994, leaving vast, dark scars in the planet's atmosphere and lofting superheated plumes into its stratosphere.

Dust was also left floating on top of Jupiter's clouds after the collision. The movement of the planet's dust allowed researchers to trace Jupiter's high-altitude winds for the first time.

To learn more about comets visit:

brainly.com/question/28543341

#SPJ1

Answer:

Hurricanes are dangerous because they often carry high winds, in which destroy our homes and other recreational buildings. They also cause flooding, which is a threat to crops, animals, and shelters.

Explanation:

If you enjoyed my answer I would very much appreciate a brainliest. Thank you, and have a great day.

~Kai~

At pH = 8, the ratio of H+ ions to OH- ions is 1:1, indicating a neutral solution. The concentration of H+ ions and OH- ions is approximately 1 x 10^(-8) mol/L. The calculated and approximated ratios should match.

To calculate the ratio of H+ ions to OH- ions at pH = 8, we need to use the relationship between pH and the concentration of H+ ions. The pH scale is a logarithmic scale that measures the acidity or alkalinity of a solution based on the concentration of H+ ions.

The formula to calculate the concentration of H+ ions (\(C_H\)+) from pH is:

\(C_H\)+ = \(10^(^-^p^H^)\)

Substituting pH = 8 into the formula:

\(C_H\)+ = \(10^(^-^8^))\)

Using the properties of logarithms, we can calculate the concentration of H+ ions:

\(C_H\)+ ≈ 1 x \(10^(^-^8^))\) mol/L

According to the concept of neutrality in water, the concentration of H+ ions is equal to the concentration of OH- ions. Therefore, the concentration of OH- ions (\(C_O_H\)-) is also approximately 1 x \(10^(^-^8^))\)mol/L.

To calculate the ratio of H+ ions to OH- ions, we divide the concentration of H+ ions by the concentration of OH- ions:

Ratio = \(C_H\)+ / \(C_O_H\)-

Ratio = (1 x \(10^(^-^8^))\) / (1 x \(10^(^-^8^))\))

Ratio = 1:1

The ratio of H+ ions to OH- ions at pH = 8 is 1:1, indicating a neutral solution. This means that the concentration of H+ ions is equal to the concentration of OH- ions, resulting in a balanced ratio.

When comparing the calculated ratio of 1:1 to the approximated ratio at pH = 8, they should be the same because the ratio of H+ ions to OH- ions is determined solely by the pH value, which is consistent and mathematically derived. Therefore, the approximated and calculated ratios should match.

For more such information on: solution

https://brainly.com/question/29058690

#SPJ8

The correct option is (b)

The outgoing gamma rays are of lower frequency than that of the initial gamma-ray. While investigating the scattering of X-rays, Compton observed that the outgoing rays lose some of their energy in the scattering process and emerge with slightly decreased frequency.

Answer:

The value is  \(v = 0.3133 \ m/s\)

Explanation:

From the question we are told that

     The mass  of the first  model is  \(m_1 = 0.235 \ kg\)

      The sliding speed is \(u_1 = 0.720 \ m/s\)  

       The mass of the second model is  \(m_2 = 0.305 \ kg\)

Generally from the law of momentum conservation w have that

                \(m_1 * u_1 + m_2 * m_2 * u_2 = (m_1 + m_2 ) v\)

Here \(u_2\) is the velocity of the second model and given that it is  motionless at it initial state the value will be  \(u_2 = 0 \ m/ s\)

 So  

                \(0.235 * 0.720 + 0.305 * 0 = (0.235 + 0.305 ) v\)

=>              \(v = 0.3133 \ m/s\)

Taking into account the definition of wavelength, frecuency and propagation speed, the frequency of the waves in the tsunami is 2.59×10⁻⁴ Hz.

First of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).

On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.

The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:

v = f×λ

In this case, you know:

Replacing:

0.194 m/s=f× 750 km

Solving:

f= 0.194 m/s ÷ 750 km

λ= 2.59×10⁻⁴ Hz

In summary, the frequency of the waves in the tsunami is 2.59×10⁻⁴ Hz.

Learn more about definition of wavelength, frecuency and propagation speed:

brainly.com/question/2232652

brainly.com/question/7321084

brainly.com/question/14946166

#SPJ4

Answer:

The force exerted by the sprinter can be calculated using Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration:

F = m * a

where:

F is the force

m is the mass of the object (70 kg)

a is the acceleration (5 m/s^2)

Plugging in the values, we get:

F = 70 kg * 5 m/s^2

F = 350 N

So, the sprinter is exerting a force of 350 N. This is the force that the sprinter's legs are applying to the ground, propelling them forward and producing the acceleration.

Final Velocity = 14m/s

Displacement = 56m

Explanation:

U (initial velocity) = 2m/s

A (acceleration) = 3m/s^2

T (time) = 4s

v (final velocity) = ?

S (displacement) = ?

FIRST FIND FINAL VELOCITY:

\(a = \frac{v - u}{t} \)

(i) Multiply both sides by t:

\(a \times t = v - u\)

(ii) Add u to both sides:

\((a \times t) + u = v\)

(iii) rearrange formula:

\(v = (a \times t) + u\)

v = ( 3 × 4 ) + 2

v = 12 + 2

v = 14m/s

SECOND FIND DISPLACEMENT:

\(v = \frac{s}{t} \)

(i) Multiply both sides by t:

\(v \times t = s\)

(ii) Rearrange formula:

\(s = v \times t\)

s = 14 × 4

s = 56m

Not sure why it isn't one of the options but im pretty sure I did all the steps right...

Answer:

\(F_B=235200\ N\)

Explanation:

Given that,

The volume of the cube, V = 24 m³

The density of water, d = 1000 kg/m³

We need to find the buoyant force acting on this cube when it totally submerged in water. The formula for the buoyant force is given by :

\(F_B=dgV\)

Substitute all the values,

\(F_B=1000\times 9.8\times 24\\\\F_B=235200\ N\)

So, the required force is equal to 235200  N.

Answer:

The acceleration of a 2 kg box acted on by a net force of 2 N is solved by using Newton’s second law of motion in the form acceleration = F_net / mass. Since the mass of the box is 2 kg and the net force is 2 N, the acceleration of the 2 kg box is 1 m/s^2.

The vector potential inside the sphere is μ₀cπ, and the magnetic field inside the sphere is zero. Outside the sphere, the magnetic field intensity is given by B = (μ₀cR²/r²), where R is the radius of the sphere and r is the radial distance from the center of the sphere.

To find the vector potential and intensity of the magnetic field inside and outside a rotating sphere with a constant surface charge density, we can use the Biot-Savart law and Ampere's law.

Inside the sphere:

Inside the sphere, the radial distance r is less than the radius R of the sphere. We consider a circular current loop of radius r within the sphere.

Using the Biot-Savart law, the vector potential (A) at a point inside the sphere due to the circular current loop can be expressed as:

A = (μ₀/4π) ∫(Idl × r)/r²

Since the charge density is constant, the current (I) flowing through the circular loop is proportional to the area of the loop, which can be expressed as I = c × πr².

Substituting this expression for I into the equation for A, we get:

A = (μ₀c/4) ∫(dl × r)/r²

By integrating around the loop, we find that the integral term is equal to 2π, and simplifying further, we obtain:

A = (μ₀c/2r) ∫dl

The integral term on the right-hand side is simply the circumference of the loop, which is 2πr. Substituting this back into the equation, we get:

A = (μ₀c/2r) × 2πr = μ₀cπ

The magnetic field (B) can be obtained from the vector potential using the equation B = ∇ × A. Since the vector potential A is independent of position, the curl of A is zero. Therefore, the magnetic field inside the sphere is zero.

Outside the sphere:

Outside the sphere, the radial distance r is greater than the radius R of the sphere. Using Ampere's law, we can find the magnetic field.

Around a circular loop outside the sphere, the magnetic field is given by:

B = (μ₀I/2πr)

Since the current I is proportional to the area of the loop, which is πR², we have I = cπR². Substituting this expression for I into the equation for B, we get:

B = (μ₀cR²/2πr³) × 2πr = (μ₀cR²/r²)

Therefore, the intensity of the magnetic field outside the sphere is given by B = (μ₀cR²/r²).

For more such questions on Vector potential

https://brainly.com/question/30451547

#SPJ8

Speed of the rock at the bottom of the cliff is 44.3 m/s.

Kinetic energy of the rock at the bottom of the cliff is 4915 J.

Work done by air resistance is -2250 J

Average force exerted by the air on the rock is 11.25 N.

a) The speed of the rock at the bottom of the cliff can be calculated using the equation:

v = √(2gh)

where v = final velocity, g = acceleration due to gravity (9.81 m/s²), and h = height of the cliff (200 m).

Plugging in the values:

v = √(2 x 9.81 x 200) = 44.3 m/s

Therefore, the speed of the rock at the bottom of the cliff is 44.3 m/s.

b) The kinetic energy of the rock at the bottom of the cliff can be calculated using the equation:

KE = (1/2)mv²

where KE = kinetic energy, m = mass of the rock (5 kg), and v = velocity (44.3 m/s).

Plugging in the values:

KE = (1/2) x 5 x (44.3)² = 4915 J

Therefore, the kinetic energy of the rock at the bottom of the cliff is 4915 J.

c) The work done by air resistance can be calculated using the work-energy principle:

Work done by air resistance = KE_initial - KE_final

where KE_initial = initial kinetic energy of the rock, and KE_final = final kinetic energy of the rock (at terminal velocity).

Since the rock was initially at rest, its initial kinetic energy is zero. At terminal velocity, the kinetic energy of the rock is:

KE_final = (1/2)mv_terminal²

where m = mass of the rock (5 kg), and v_terminal = terminal velocity (30 m/s).

Plugging in the values:

KE_final = (1/2) x 5 x (30)² = 2250 J

Therefore, the work done by air resistance is:

Work done by air resistance = 0 - 2250 = -2250 J

The negative sign indicates that the work done by air resistance is in the opposite direction to the motion of the rock.

d) The average force exerted by the air on the rock can be calculated using the equation:

Work done by air resistance = Force x Distance

where Force = average force exerted by air on the rock, and Distance = distance travelled by the rock.

Rearrange the equation to solve for Force:

Force = Work done by air resistance / Distance

Plugging in the values:

Force = -2250 / 200 = -11.25 N

Therefore, the average force exerted by the air on the rock is 11.25 N. The negative sign indicates that the force is in the opposite direction to the motion of the rock.

Find out more on kinetic energy here: https://brainly.com/question/8101588

#SPJ1

The answer is 40 kg. m/s.

Formula for momentum:

p=mv

p=(10 kg.)(4 m/s)

So, therefore, the final answer is p=40 kg. m/s.

I hope this helped answer your question. Enjoy your day, and take care!

Answer: its 400 n/s

Explanation:

cus my thing said it was right

Answer:

\(\frac{1}{512}\) seconds

Explanation:

T = 1 / f

    where T is the period and f is frequency.

Here the frequency is 512 Hz.

Using the formula:

                                  T = \(\frac{1}{512}\) seconds

Answer:

yes

Explanation:

because if you put a hot object in a cold place the energy from the hot object transfers to the cold air around it and will eventually get such a low temperature that it freezes.

Answer:

Inner Transition Metals

Explanation:

The lanthanides and actinides belong to the inner transition metals.

​

Answer:

inner transition elements

Explanation:

In the periodic table to which the lanthanides and actinides metals belong to is inner transition elements because these elements are present in between transition elements.

Answer:

Thermal expansion causes the bar to expand in length (also, thermal contraction causes the bar to shrink). Having the meter measured in this way allows for consistency and can be easily converted.

Explanation:

Answer:

25 m

Explanation:

Let's assume that its acceleration is constant. We can determine the acceleration of the object by its definition

\(a= \frac{\Delta v}{\Delta t} = \frac{10-0(\frac ms)}{5 s} = 2 \frac m{s^2}\)

Now we can write the equation of motion

\(s(t)= s_0 + v_0t + \frac12at^2\)

where, the two terms \(s_0\ v_0\) represent the initial position and velocity respectively. Replacing the values we have ("from rest" means that initial velocity is 0)

\(s(5) = 0+0(5)+\frac12 2 (5)^2 = 25 m\)