factors that affect pressure in solids​

Statement is False.

Angular Resolution is the smallest angle formed between any two close

objects that can be seen clearly when they are separated.

  The formula for Angular Resolution is:

              Angular Resolution = 1.22λ /a

            where,        λ = wavelength

                               a = telescope diameter

     So here we can see that angular resolution is directly proportional

      to the wavelength which means shorter wavelength will have poor

     resolution and larger wavelength will have large resolution.

       Therefore, the given statement is false.

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Answer:

d)30,000 N

Explanation:

Solution:

mass(m)=1000kg

initial velocity (u)=0m/s

final velocity (v)=15m/s

So,

acceleration (a)=(v-u)/t

=(15-0)/10

=1.5m/s^2

Atlast,

Force(F)=m×a

=20000×1.5

=30,000 N

Explanation:

Soln:-

Given:-

Volume(v)=5.0cm^3

mass(m)=13.5 gm

density (d)=?

We know that,

d=m÷v

=(13.5÷5)g/cm^3

=2.7g/cm^3

Hence, the required density of aluminum is 2.7g/cm^3.

The reason why Kim's hair rises and sticks out is due to electrostatic attraction.

We know that one of the ways in which a body is able to acquire static charges is by friction. When a body is rubbed against another, there could be loss or gain of charges leaving a net charge on each body.

The process that occurs when some of Kim's hair rises and sticks out toward the balloon, even though the balloon hasn't touched her hair is electrostatic attraction.

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Answer: Cadence braking or Stutter braking is the braking technique slows the vehicle as quickly as possible without locking brakes or losing traction.

Explanation: To find the answer, we need to know more about the Cadence breaking.

Thus, from the above given data, we can conclude that, Cadence braking or Stutter braking is the braking technique slows the vehicle as quickly as possible without locking brakes or losing traction.

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When the spring is stretched by 15.2 cm = 0.152 m, the spring exerts a restorative force with magnitude (due to Hooke's law)

[tex]F = kx[/tex]

where [tex]k[/tex] is the spring constant. Solve for [tex]k[/tex].

[tex]49.1\,\mathrm N = k (0.152\,\mathrm m) \implies k \approx 323 \dfrac{\rm N}{\rm m}[/tex]

The amount of work required to stretch or compress a spring by [tex]x\,\mathrm m[/tex] from equilibrium length is

[tex]W = \dfrac12 kx^2[/tex]

Then the work needed to stretch the spring by 15.2 cm is

[tex]W_1 = \dfrac12 \left(343\dfrac{\rm N}{\rm m}\right) (0.152\,\mathrm m)^2 \approx 3.73\,\mathrm J[/tex]

and by 15.2 + 13.7 = 28.9 cm is

[tex]W_2 = \dfrac12 \left(343\dfrac{\rm N}{\rm m}\right) (0.289\,\mathrm m)^2 \approx 13.5\,\mathrm J[/tex]

so the work needed to stretch from 15.2 cm to 28.9 cm from equilibrium is

[tex]\Delta W = W_2 - W_1 \approx \boxed{9.76\,\mathrm J}[/tex]

Radius of curvature of the concave mirror is 36 cm.

To find the answer, we need to know about the relation between focal length and radius of curvature.

Here, radius of curvature= 2×18 cm = 36cm

Thus, we can conclude that the radius of curvature of the concave mirror is 36cm.

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Given the data from the question, the potentiel energy is most in A

To obtain the correct answer to the question, we shall determine the potential energy in each case

PE = mgh

Where

Case A

PE = mgh

PE = 2.5 × 9.8 × 1.4

PE = 34.3 J

Case B

PE = mgh

PE = 2.5 × 0 × 0

PE = 0 J

Case C

PE = mgh

PE = 1 × 9.8 × 2

PE = 19.6 J

SUMMARY

Thus potential energy is most in A

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The cost of the 1.4KW kettle is 0.945 p.

The cost of electricity is computed from the cost of electricity. We have to know the cost of electricity that is charged for the 1.4kW kettle.

Now let the power consumed=

1.4kW * 0.075 hrs = 0.105 KWhr

Then;

1 KWhr costs  9p

0.105 KWhr costs 0.105 KWhr *  9p/1 KWhr

= 0.945 p

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The cost of boiling 500cm3 of water using the 3kW kettle is 1.35 P.

The cost is calculated as follows;

1 unit = 9p /kWh

Total energy consumed by 3 kW kettle, E = P x t

where;

E = 3 kW x (3 mins/60 mins/hr)

E = 0.15 kWh

Energy cost = 9 p/kWh x 0.15 kWh = 1.35 P

Thus, the cost of boiling 500cm3 of water using the 3kW kettle is 1.35 P.

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The vertical distance through which the book falls is determined as 1,048.8 m.

The vertical distance through which the book falls is calculated as follows;

h = vt + ¹/₂gt²

where;

h = (16 x sin52)(13.4)  + (0.5)(9.8)(13.4²)

h = 1,048.8 m

Thus, the vertical distance through which the book falls is determined as 1,048.8 m.

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The magnetic field at the center of the arc is 4 × 10^(-4) T.

To find the answer, we need to know about the magnetic field due to a circular arc.

        B=( μ₀I/4π)×(angle/radius)

B=(μ₀ I/4π)× (0.9/0.006)

  = (10^(-7)× 26.9)× (0.9/0.006)

  = 4 × 10^(-4) T

Thus, we can conclude that the magnitude of magnetic field at the center of the circular arc is 4 × 10^(-4) T.

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Answer:

See below

Explanation:

TOTAL distance = x meters   (not given how far he ran from scrimmage line)

Displacement =  x - 2   meters     ( although football uses yards not meters)

The speed of light when it passes through the new type of glass is 2.04×10^8  m/s.

What is refractive index:

Refractive Index is a value calculated from the ratio of the speed of light in a vacuum to that in a second medium of greater density.

The refractive index variable is denoted by the letter ' n '.

Here,

The refractive index of a new type of glass is 1.47

n = 1.47

The speed of light in air is c = 3×10^8 m/s

The formula for refractive index:

where v is the speed of light in new type of glass.

Substituting the values into the equation,

1.47 = 3×10^8 / v

v = 3×10^8 / 1.47

v = 2.04 ×10^8  m/s

Hence,

the speed of light when it passes through the new type of glass is 2.04×10^8  m/s

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The particles that move in orbits of the same radius have the same momentum.

A point particle's three-dimensional angular momentum is traditionally represented by the pseudovector r p, which is the cross product of the particle's position vector r (relative to some origin) and momentum vector, which in Newtonian physics is denoted by p = mv.

L = mr[tex]V_{prep}[/tex] = mr²w is the particle's orbital angular momentum in units of magnitude. The part of the particle's velocity that is here perpendicular to the axis of rotation is designated as [tex]V_{perp.}[/tex] The right-hand rule indicates the direction of the angular momentum. In isolated systems, the angular momentum is conserved.

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The person's velocity relative to the shore is determined as 6.5 m/s.

The velocity of the person is calculated as follows;

V(p/f) = V(p) - V(f)

where;

1.5 = V(p) - 5

V(p) = 6.5 m/s

Thus, the person's velocity relative to the shore is determined as 6.5 m/s.

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Time period for the mass 2.3 kg is 1.23s.

To find the answer, we need to know about the time period of a spring mass system.

time period= 2π×√(m/k)

Time period= 2π×√(2.3/59.5)

= 1.23 s

Thus, we can conclude that the time period of the spring mass system is 1.23 s.

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As per the image: The velocity is maximum at B. The velocity is O at C and A. The acceleration will be O at B

The acceleration is maximum at C and A.

How can it be said?

Two sketches are shown in the attached image. The first one is based on the principle of energy conservation, and it is simple to understand when the velocity is at its highest and when it will be zero.

The pendulum is at its highest height in points A and C relative to the reference point, giving us the most potential energy. Additionally, all of the potential energy had been converted into kinetic energy by the time the pendulum reached point B, therefore this is where its maximum velocity would be.

The second sketch, which displays a free body diagram of the pendulum when it is producing a theta angle with respect to the vertical plane, is shown for the acceleration analysis. Applying Newton's second law and taking into account the forces acting on the pendulum, we arrive at the equation shown in the picture.

With the knowledge that the equation will be zero (0) when the angle theta is 0, we can see that the acceleration, which has the same direction as the velocity, relies on the sin(theta). It implies that at point B, the acceleration will be 0. and at points Cand A, maximum.

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The density of the glass can be determined using the formula:

Density is defined as the ratio of mass and volume of a substance.

The mass of the glass = Final mass of beaker  - initial mass  of beaker (Mf - Mi)

The initial mass of the beaker is not given.

Volume of the glass marble = 20 cm³

Density of the glass = (Mf - Mi)/20 cm³

Therefore, the density of the glass is determined from the ratio of the mass and volume of the glass.

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Answer:

Mass of the vehicle and small bug.

Explanation:

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The strategy:

The Toro Co. uses a family branding strategy.

What is family branding?

Family branding is a marketing tactic that emphasizes promoting the parent brand name while simultaneously advertising a family of goods and services. It is also sometimes referred to as "umbrella branding," which implies that all branding initiatives are carried out under the parent brand name.

In this case, the parent brand is Toro. The "Toro Motor Company" was founded in 1914 with the goal of producing tractor engines for The Bull Tractor Company. By acquiring Whirlwind Corp., Toro joined the push mower industry in 1948.

All the stated types of machinery are provided under the name of Toro, suggesting that the parent brand name is used to promote sales.

Thus, it is a case of family branding.

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The impulse and change in momentum of an object moving with a force 30N then hits a wall to a stop in 0.5s is 15Ns.

Impulse is the integral of force over time. It is calculated by multiplying the force applied by the time as follows:

∆p = Force × time

According to this question, an object is moving with a force 30N and then hits a wall to a stop in 0.5s.

Impulse = 30N × 0.5s = 15Ns

Therefore, the impulse and change in momentum of an object moving with a force 30N then hits a wall to a stop in 0.5s is 15Ns.

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Meniscus formed by water and mercury (In capillary tube and beaker):

Because the water wets the glass and seeps up the tube's side when it is contained in a glass tube, the meniscus (surface) of the water has a concave form. And in mercury, the meniscus is lower than the meniscus in the beaker because the intermolecular force between the mercury atom is stronger than the force within a wall of a container which is why mercury forms a lower meniscus.  

What are meniscus?:

The meniscus arises when the liquid and the container walls have different attractive forces acting on the molecules of the liquid.

A meniscus is created through adhesion, which is related to water's relatively high surface tension. The molecules in the glass beaker's wall are drawn to the water molecules. Whereas cohesion is the intermolecular attraction of similar molecules.

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The magnitude of the bird's eastward component is 158.6 m and its flying speed is 19.95 m/s.

The eastward component of the bird is calculated as follows;

226² = E² + 161²

E² = 226² - 161²

E² = 25,155

E = √25,155

E = 158.6 m

V = 158.6 m / 7.95 s

V = 19.95 m/s

Thus, the magnitude of the bird's eastward component is 158.6 m and its flying speed is 19.95 m/s.

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Under the low-power microscope, the kind of specimen Diatoms is Holotype.

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The velocity of the third piece is mathematically given as

v=0.88m/s

Generally, the equation for conservation is  mathematically given as

[tex]m u=m_{1} v_{1 \mathrm{x}}+m_{2} v_{2 \mathrm{x}}+m_{1} v_{x}[/tex]

Here, is the mass of the grenade, [tex]m_{1}, m_{2}, m_{3}[/tex] the masses of the pieces after an explosion, and [tex]v_{1 \mathrm{x}}, v_{2 \mathrm{x}}[/tex] are velocities of the first and second pieces after the explosion.

[tex]m u_{1} &=m_{1} v_{1 x}+m_{2} v_{2 \mathrm{x}}+m_{3} v_{x} \\0 &=0+(0.2 \mathrm{~kg})((5 \mathrm{~m} / \mathrm{s})\\v_{x} &=\frac{-0.173 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}}{0.3 \mathrm{~kg}} \\&=-0.578 \mathrm{~m} / \mathrm{s}[/tex]

the equation for conservation

[tex]m u=m_{1} v_{1 y}+m_{2} v_{2 y}+m_{3} v_{y}[/tex]

[tex]m u_{1} &=m_{1} v_{1 \mathrm{y}}+m_{2} v_{x y}+m_{3} v_{y} \\0 &=(0.10 \mathrm{~kg})(10 \mathrm{~m} / \mathrm{s})+(0.2 \mathrm{~kg})\left((5 \mathrm{~m} / \mathrm{s}) \cos 10^{\circ}\right)+(0.3 \mathrm{~kg}) v_{y} \\v_{y} &=\frac{-1.98 \mathrm{~kg} \cdot \mathrm{m} / \mathrm{s}}{0.3 \mathrm{~kg}} \\&=-0.661 \mathrm{~m} / \mathrm{s}[/tex]

In conclusion, the magnitude of the velocity

[tex]v=\sqrt{v_{\mathrm{x}}^{2}+v_{\mathrm{y}}^{2}}[/tex]

[tex]Substitute $-0.578 \mathrm{~m} / \mathrm{s}$ for $v_{\mathrm{s}}$ and $-0.661 \mathrm{~m} / \mathrm{s}$ for $v_{\mathrm{y}}$[/tex]

[tex]v &=\sqrt{v_{x}^{2}+v_{y}^{2}} \\&=\sqrt{(-0.578 \mathrm{~m} / \mathrm{s})^{2}+(-0.661 \mathrm{~m} / \mathrm{s})^{2}} \\&=0.88 \mathrm{~m} / \mathrm{s}[/tex]

v=0.88m/s

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Answer:

leaves will deverge

Explanation:

because of the nagwtive charge will become positive

Pressure is measured as force per unit area, which is the third option.

Pressure is amount of force that is applied over a given area divided by the size of this area.

Pressure is calculated by multiplying the force applied on the object by the area covered.

Since force is measured in Newtons (N) and area is measured in m², the unit of pressure is Nm².

Therefore, pressure is measured as force per unit area.

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Use formula (F) = mass × acceleration.

In this case: acceleration = [tex]\frac{F}{2m}[/tex]

Answer:

448m/s

Explanation:

velocity =frequency × wavelength

v= 173×2.59

v=448.07

v=448m/s