Grain is pouring into a silo to be stored for later use. Due to
the friction between pieces of grain as they rub against each
other during the pouring process, one piece of grain picks up a
charge of E-4.2x 10 C and another piece of grain picks up
a charge of 3.8 x 10-15 C. What is the electric force between
them if the pieces of grain are
2.4 cm apart?

Answer:

mars is a fourth planet of the sun and the second planet in the solar system

moon is a natural satellite of the earth it isthe fifth largest moon in the solar system

When the volume of a container is doubled while the temperature remains constant, the entropy of the gas increases by R * ln(2).

In an isothermal process, the entropy change of an ideal gas can be calculated using the formula ΔS = nR * ln(V2/V1), where ΔS is the change in entropy, n is the number of moles, R is the universal gas constant, and V2 and V1 are the final and initial volumes, respectively.

In this case, V2 = 2V1. Since the number of molecules is given as 6.5 × 10^22, we first need to convert it to moles using Avogadro's number (6.022 × 10^23 molecules/mol).

The number of moles, n = (6.5 × 10^22) / (6.022 × 10^23) = 0.108 moles. Plugging these values into the formula, we have ΔS = 0.108R * ln(2).

Summary: When the volume of a container with a gas is doubled while the temperature remains constant, the entropy of the gas increases by approximately 0.108R * ln(2).

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Answer: A thesis statement states the main idea of an essay or assignment.

Explanation: A thesis statement is put in the introduction of a writing assignment to tell the reader the opinion or judgement of the writer. What the writer infers about a book or personal experience. Examples are argumentative essays or literary device essays.

The skydivers are approximately 137.2 meters apart 8.0 seconds after the second skydiver jumps.

To determine the distance between the skydivers 8.0 seconds after the second skydiver jumps, we need to consider the vertical motion of the two skydivers.

Assuming no air resistance, both skydivers will experience free fall acceleration due to gravity, which is approximately 9.8 m/s^2.

Since the second skydiver jumps 2.0 seconds after the first skydiver, we can calculate their respective positions after 8.0 seconds using the equation of motion:

s = ut + (1/2)at^2

where s is the displacement, u is the initial velocity, a is the acceleration, and t is the time.

For the first skydiver:

Initial velocity (u) = 0 m/s (since the skydiver jumps from rest)

Acceleration (a) = 9.8 m/s^2

Time (t) = 8.0 s

Using the equation, we can calculate the displacement of the first skydiver after 8.0 seconds.

s1 = (0)(8.0) + (1/2)(9.8)(8.0)^2

s1 = 0 + (1/2)(9.8)(64)

s1 = 0 + 313.6

s1 ≈ 313.6 m

For the second skydiver:

Initial velocity (u) = 0 m/s

Acceleration (a) = 9.8 m/s^2

Time (t) = 6.0 s (since the second skydiver jumps 2.0 seconds after the first)

Calculating the displacement of the second skydiver after 8.0 seconds:

s2 = (0)(6.0) + (1/2)(9.8)(6.0)^2

s2 = 0 + (1/2)(9.8)(36)

s2 = 0 + 176.4

s2 ≈ 176.4 m

To find the distance between the skydivers, we subtract the displacement of the second skydiver from the displacement of the first skydiver:

Distance = s1 - s2

Distance ≈ 313.6 m - 176.4 m

Distance ≈ 137.2 m

Therefore, the skydivers are approximately 137.2 meters apart 8.0 seconds after the second skydiver jumps.

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Answer:

Approximately \(176.58\; {\rm m}\) (assuming that \(g = 9.81\; {\rm m\cdot s^{-2}}\), both skydivers started with an initial velocity of zero, and that air resistance is negligible.)

Explanation:

Under the assumptions, each skydiver would be accelerating downward at \(a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}\). The initial velocity of both skydivers would be \(u = 0\; {\rm m\cdot s^{-1}}\).

At \(t\) seconds after the second skydiver jumps, the first skydiver would have been in the sky for \((t + 2.0)\) seconds. Apply the SUVAT equation \(x = (1/2)\, a\, t^{2} + u\, t + x_{0}\) to model the position of each skydiver:

Subtract the two expressions to find the distance between the two skydivers:

\(\begin{aligned}& \frac{1}{2}\, a\, (t + 2.0)^{2} + u\, (t + 2.0) + x_{0} -\left(\frac{1}{2}\, a\, t^{2} + u\, t + x_{0}\right) \\ =\; & a\, (2.0)\, t + \frac{1}{2}\, a\, (2.0)^{2} + u\, (2.0) \end{aligned}\).

Substitute \(a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}\), \(u = 0\; {\rm m\cdot s^{-1}}\), and \(t = 8.0\; {\rm s}\) into the expression and evaluate:

\(\begin{aligned}& a\, (2.0)\, t + \frac{1}{2}\, a\, (2.0)^{2} + u\, (2.0) \\ =\; & (-9.81)\, (2.0)\, (8.0) + \frac{1}{2}\, (-9.81)\, (2.0)^{2} + (0)\, (2.0) \\ \approx\; & -176.58\end{aligned}\).

In other words, the two skydivers would be approximately \(176.58\; {\rm m}\) apart.

Two instruments based on Archimedes' principle

Explanation:

Archimedes' principle states -

OR

Applicatios : Lactometer , hydrometer.

Nope, your reference point can be anywhere because displacement is simply the change in position. So regardless of where your origin is, the change in position (displacement) is independent.

Alteration in an object's location in relation to a reference frame is known as displacement. For instance, a billiards ball travels from one spot to another as a player strikes it. It is alleged to have moved. A vector quantity with the both magnitude and direction is displacement.

Sometimes people mistakenly believe that length and displacement are simply two different labels for the same thing. Displacement and distance, however, are two distinct ideas. The total distance covered is larger than movement between those two places if an item changes direction while traveling.

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The movement of a pendulum is a good example of potential energy being transformed into kinetic energy and back again.

Kinetic Energy: The energy of a body due to its motion is called kinetic energy.

Potential Energy: Potential energy is the energy that is stored in an object due to its position relative to some zero position. Electrostatic energy, Gravitational energy, etc. are some examples of potential energy.

When the pendulum is at its extremes, all the energy of the pendulum is converted into potential energy. And when it is at the center it has only kinetic energy. At other positions, the total energy is the sum of potential and kinetic. But the total energy of the pendulum is always conserved.

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The correct question is-

Give an example of a system where potential energy is transformed into kinetic energy and back again. Explain.

The triple point of water is the unique combination of temperature and pressure at which solid ice, liquid water, and water vapor can coexist in thermodynamic equilibrium. It is the point where the sublimation, fusion, and vaporization curves meet on the phase diagram of water. The triple point of water has a value of 273.16 K and a partial vapor pressure of 611.657 pascals

Solid ice form of carbon dioxide that is usually used as a coolant. The advantage of dry ice is that it is at a lower temperature than ice from water and doesn't leave any residue. Dry ice is usually used to keep frozen food cold in places where refrigeration is not available.

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In one million years, continents A and B will be 50 kilometers farther apart.

The rate at which the oceanic ridge is spreading is given as 5 cm/yr. To find how much farther continents A and B will be from each other in one million years, we can use the formula Distance = Speed × Time.

First, let's convert the speed from cm/yr to km/yr. Since 1 km = 1000 m and 1 m = 100 cm, we divide the speed by 100,000 to convert cm/yr to km/yr. Therefore, the speed is 5 cm/yr ÷ 100,000 = 0.00005 km/yr.
Next, we multiply the speed by the time (1 million years) to find the distance. Distance = 0.00005 km/yr × 1,000,000 years = 50 km.

Therefore, in one million years, continents A and B will be 50 kilometers farther from each other.
To summarize:
- Convert cm/yr to km/yr by dividing by 100,000.
- Multiply the speed in km/yr by the time (1 million years) to find the distance.
- The continents will be 50 kilometers farther from each other.

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The FALSE statement concerning the work done by a conservative force is (b) It is independent of the path of the body and depends only on the starting and ending points.

For a conservative force, work done is path-independent only for the net work done around a closed path. This is because the net work done around a closed path is zero. However, for any other path, the work done by a conservative force depends on the path taken and not just the initial and final points. This is because the force may vary at different points in the path, and the work done is the integral of the force over the path.

The other statements (a) It can always be expressed as the difference between the initial and final values of a potential energy function, and (c) When the starting and ending points are the same, the total work is zero, are both true statements concerning the work done by a conservative force.

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Motion is created by kinetic energy. K.E. = 1/2 mv2 can be used to calculate an object's kinetic energy.

Motion is the change in an object's location with relation to time. Motion is described mathematically using terms like displacement, velocity, distance, kinetic energy, and speed.

Kinetic energy is essentially the energy underlying motion and can be observed in the movement of objects or subatomic particles. Every atom or object in motion contains kinetic energy.

A human walking, a baseball flying through the air, food falling from a desk, and an alpha object in an electric field are all example of kinetic in action.

The equation for calculating the angular momentum of an object with mass m and motion is K.E. = 1/2 mv^2.

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Answer:

Velocity= 12t + 12t^2

Acceleration= 12 + 24t^2

When the velocity is 10m/s, the acceleration is 20.

Answer:

Explanation:

The time taken can be found by using the formula

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

where

d is the distance

v is the velocity

From the question we have

\(t = \frac{212}{48.2} \\ = 4.398340248...\)

We have the final answer as

Hope this helps you

This is Newton's first law of motion, which says it's due to the motion being opposed by unseen resistive forces such as friction and air resistance.

Newton's first law states that unless compelled to change its state by the action of an external force, every object is going to remain stationary or in uniform motion in a straight line. Inertia is the tendency to resist changes in a state of motion.

If an accident occurs or the brakes are suddenly applied to the car, the body will tend to continue its inertia and move forward, which will almost certainly prove fatal. Seat belts are used to prevent such accidents by preventing your body from moving forward in inertia and thus avoiding danger.

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1.875

Explanation:

speed = distance moved ÷ time taken

Answer:

Pascal's principle states that pressure increases by the same amount throughout an enclosed or confined fluid. Archimedes' principle states that the buoyant force acting on a submerged object is equal to the weight of the volume of fluid displaced by the object.

If the charge on a parallel-plate capacitor is doubled then E. the surface charge density is not changed on either plate.

The capacitance of a parallel-plate capacitor is unaffected by doubling the charge on it. The area of the plates and the space between them represent two physical properties of the capacitor that alone define its capacitance. The capacitance remains unaffected as a result of this.

The charge per unit area is used to define the surface charge density on a plate. The surface charge density on each plate doubles because the capacitance stays the same while the charge on the capacitor doubles. This is due to a higher surface charge density caused by the charge being dispersed over the same area.

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Complete Question:

If the charge on a parallel-plate capacitor is doubled:

A. the capacitance is halved

B. the capacitance is doubled

C. the electric field is halved

D. the electric field is doubled

E. the surface charge density is not changed on either plate

When the charge on a parallel-plate capacitor is doubled, the capacitance remains unchanged. However, the electric field between the plates is halved, and the surface charge density on either plate is also halved.

When the charge on a parallel-plate capacitor is doubled, the capacitance remains unchanged. The capacitance of a capacitor is determined by the physical characteristics of the capacitor, such as the area of the plates, the distance between the plates, and the dielectric constant of the material between the plates. Doubling the charge does not alter these physical characteristics, so the capacitance remains the same.

However, the electric field between the plates is halved when the charge is doubled. The electric field is directly proportional to the charge and inversely proportional to the distance between the plates. Doubling the charge while keeping the distance constant results in a halving of the electric field.

The surface charge density on either plate is also halved when the charge is doubled. Surface charge density is defined as the charge per unit area on the surface of a conductor. Since the charge is doubled while the area of the plates remains the same, the surface charge density is halved.

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Answer:

the answer for your question is that they are unbalanced

Given the following information:Mass of the system, m = 20 kg.Damping coefficient, b = 6 Ns/m.Force, F = 90 N.Frequency of applied force, f = ?Applied force angular frequency, w = 6 rad/s.Forced vibration equation:F(t) = F0 sin(wt)where F0 = 90 N and w = 6 rad/s.Under the action of the force F, the mass m will oscillate.The equation of motion for the mass-spring-damper system is given by:$$\mathrm{m\frac{d^{2}x}{dt^{2}}} + \mathrm{b\frac{dx}{dt}} + \mathrm{kx = F_{0}sin(\omega t)}$$where k is the spring constant.x(0) = 0 and x'(0) = 0.As we have the damping coefficient (b), we can calculate the damping ratio (ζ) and natural frequency (ωn) of the system.Damping ratio:$$\mathrm{\zeta = \frac{b}{2\sqrt{km}}}$$where k is the spring constant and m is the mass of the system.Natural frequency:$$\mathrm{\omega_{n} = \sqrt{\frac{k}{m}}}$$where k is the spring constant and m is the mass of the system.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$At resonance, the amplitude of the system will be maximum when forced by a sinusoidal force of frequency equal to the resonant frequency.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$$$\mathrm{\omega_{d} = \sqrt{(6.57)^{2}-(-2.88)^{2}} = 6.98 rad/s}$$Hence, the frequency of applied force at which resonance will occur is 6.98 rad/s.

The frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.

To determine the frequency of the applied force at which resonance will occur, resonance happens when the frequency of the applied force matches the natural frequency of the system. The natural frequency can be determined using the formula:

ωn = √(K / M),

where ωn is the natural frequency, K is the spring constant, and M is the mass of the system.

Substituting the given values of K = 400 N/m and M = 20 kg into the equation, we can calculate the natural frequency ωn.

ωn = √(400 N/m / 20 kg) = √(20 rad/s²) = 2√5 rad/s.

Therefore, the frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.

The correct question is given as,

M= 20kg

Fo = 90 N

ω = 6 rad/s

K = 400 N/m

C = 125 Ns/m

Determine the frequency of applied force at which resonance will occur?

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If a deformed object recovers its original shape as stress is released, it is exhibiting elastic deformation.Elastic deformation refers to the temporary change in shape or size of a material when subjected to external forces or stress.

When the applied stress is within the elastic limit of the material, it undergoes reversible deformation, meaning it can return to its original shape and size once the stress is removed. This behavior is due to the material's ability to store elastic potential energy within its atomic or molecular structure.

In elastic deformation, the material experiences strain proportional to the applied stress, following Hooke's Law. As long as the stress does not exceed the elastic limit, the material will deform elastically and recover its original shape once the stress is released.

It's important to note that elastic deformation is a characteristic of certain materials, such as metals, rubber, and other materials with elastic properties, and not all materials exhibit elastic behavior.

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Given:

The mass on the table is,

The hanging mass is,

THe coefficient of friction is,

let the acceleration of the whole system is a (for the hanging mass it is downward and for the mass on the table it is rightward). the tension towards The fixed point of the pulley is T.

we can write,

Adding these equations we get,

Substituting the values we get,

Hence the acceleration is 6.66 m/s^2.

The spacecraft must travel at a constant velocity that allows it to cover the distance to the star in 3.5 years, as measured by travelers on the spacecraft.

To calculate this velocity, we need to know the distance to the star and the time it takes to reach it as measured by an observer on Earth. Then, we can use the time dilation formula from special relativity to calculate the velocity needed for the spacecraft to travel the same distance in 3.5 years, as measured by the travelers on board.

Without knowing the specific star, distance, and observer on Earth, we cannot provide an exact answer. However, we can say that the velocity required would likely be a significant fraction of the speed of light, given the relatively short travel time of 3.5 years.

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The winding of the relay coil has very low resistance, due to the high requirement of electric current.

Relay coil is an automatic switch that open & close the circuit & it is based on the magnetic effect of electric current. The relay coil works as an electromagnet. When the current is supplied through it, it attracts the connecter and circuit becomes closed in other way. The attraction force is a magnetic force which is formulated as F = BILSinθ.

So Magnet force is directly proportional to the electric current(I). By Ohm's law I = V/R, we can see that less the resistance more will be the current for a constant voltage. And more the current more will be the magnetic force for efficient work of the electromagnet.

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Answer:false

Explanation:

Answer:

the second force

Explanation:

this is the answer i hade for mine

Answer:

if g=-10m/s² then the normal force is 20N

if g=-9.8m/s² then the normal force is 19.6N

Explanation:

The force due to gravity (or weight) is mass times the acceleration due to gravity.

I am going to define up as positive so gravity will be negative.

On earth the acceleration due to gravity is -9.8m/s²

We sometimes round this to -10m/s² to make the math easier.

I will do it both ways.

so we have a mass of 2kg

2kg(-10m/s²)

so the force due to gravity is -20N

because the block is not falling through the table, the table must be pushing back with the same amount of force, but in the opposite direction so we change the sign.

using -10m/s² for g, we get a normal force of 20N (Newtons)

if we use -9.8m/s², we have 2kg(-9.8m/s²)

and a force due to gravity of -19.6N

and when we flip the sign we get a normal force of 19.6N

Hope this helps!

The time that is taken by the cart is given as 34.7 s.

Let us have it at the back of our minds that what we are dealing with here is the velocity and that the velocity of the object can be said to be a vector quantity. If it is a vector quantity, we would need to look at the magnitude and the direction of the quantity.

We can now see that the velocity of the object can be defined as the change in the velocity of the object with time. We can now write;

V = Δx/t

V = velocity

Δx = change in the displacement

t = time

Then;

-0.418 = 5.40 - 19.9/t

t = -14.5/-0.418

t = 34.7 s

In the movement of the cart from one point on the plane to the other, the time that has been taken by the cart is about 34.7 s.

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Answer:

1200

Explanation: