a mass m on a frictionless table is attached to a hanging mass m by a cord through a hole in the table. find the speed with which m must move for m to stay at rest.

Explanation:

we can use the formula F = ma

hence,

F = 20 × 80

F = 1600 Newtons

hope this helps.

The effective value of g, the acceleration of gravity, at 6700m , above the Earth's surface is 9.79 m/s².

Given:

G=gravitational constant = 6.67x10⁻¹¹ m³/(kg.s²)

M=the Earth's mass = 5.97x10²⁴ kg

r=  Earth's radius = 6371 km  +6700m

r=6371000m+6700m

r=6377700m

For gravitation we use following:

F=GmM/r^2

which on further derivation gives

ma=GmM/r^2 , which results in

a=GM/r^2

Now putting the values in a=GM/r^2

a=6.67x10⁻¹¹ m³/(kg.s²)*5.97x10²⁴ kg/6377700^2

a=9.79 m/s²

Hence, The effective value of g, the acceleration of gravity, at 6700m , above the Earth's surface is 9.79 m/s².

then at 7000km i.e. 7000000m

All will be same except r= 6371000m+7000000m

r=13371000m and

r^2 =1.78*10^14.

putting values

a=6.67x10⁻¹¹ m³/(kg.s²)*5.97x10²⁴ kg/1.78*10^14.

a=2.23*10^28 m/s.

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Answer:

How much an object has moved

Answer:

1/2 seconds per meter

Explanation:

The number of seconds is going to be x

45 ÷ 90 = x

x = 1/2

I mean there are more complicated ways to do it, but this is the easy one :)

Answer:

1/2 per meter

Explanation:

The average power delivered to the circuit is 126.56 watts.

In a series RLC circuit, the impedance is given by Z = √(R^2 + (XL - XC)^2), where R is the resistance, XL is the inductive reactance, and XC is the capacitive reactance. We know that the impedance Z is 120 ω and the resistance R is 64 ω. So, we can use these values to find the values of XL and XC.
XL = Z^2 - R^2 = √(120^2 - 64^2) = 105.17 ω
XC = √(Z^2 - R^2) = √(120^2 - 64^2) = 105.17 ω
Now, we can use the formula for average power in a series RLC circuit, which is P = Vrms^2/R, where Vrms is the rms voltage. Here, Vrms is given as 90 volts.
P = Vrms^2/R = 90^2/64 = 126.56 watts.

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Answer:

  an object sliding down hill

Explanation:

On a slope, the force applied is due to gravity. Its direction is straight down. If the object is sliding down the hill, its displacement is at an angle to the applied force. The angle of displacement will depend on the steepness of the hill.

Two surfaces that are not moving past each other have static friction. Static friction is a force that resists the start of motion between two surfaces in contact.

It is caused by the irregularities on the surface of each object interlocking with each other. The greater the friction, the more force is required to start the objects moving.

For example, when you try to slide a book across a table, there is a force of static friction between the book and the table that resists the motion. The force of static friction is equal to the force you are applying to the book, until the book starts to move. Once the book starts to move, the force of friction is called kinetic friction. Kinetic friction is always less than static friction.

Static friction is a very important force in everyday life. It allows us to walk, drive, and use tools. It also helps to prevent objects from slipping and falling.

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Two surfaces that are not moving past each other have -----------

The proton's speed is determined by the electric field strength and the distance between the plates. Using the equation v = √(2E/m), we find that the proton's speed is approximately 1.42 × 10⁵ m/s.

To find the proton's speed, we can use the equation of motion for uniform acceleration. In this case, the electric field between the plates of the capacitor provides a constant acceleration to the proton.

The electric field strength (E) is given as 4.90 × 10⁴ N/C, and the distance between the plates (d) is 2.30 mm, which is equivalent to 2.30 × 10⁻³ m.

We can use the equation: E = (1/2)mv², where E is the electric field strength, m is the mass of the proton, and v is its final velocity. The mass of a proton (m) is approximately 1.67 × 10⁻²⁷ kg.

Rearranging the equation to solve for v, we get v = √(2E/m).

Plugging in the values, v = √(2 × 4.90 × 10⁴ N/C × 2.30 × 10⁻³ m / 1.67 × 10⁻²⁷ kg), and solving this expression gives v ≈ 1.42 × 10⁵ m/s as the proton's speed when it reaches the negative plate.

Therefore, the proton's speed when it reaches the negative plate is approximately 1.42 × 10⁵ m/s.

Complete question here:

The electric field strength is 4.90×104 N/C inside a parallel-plate capacitor with a 2.30 mm spacing. A proton is released from rest at the positive plate.

What is the proton's speed when it reaches the negative plate?

Answer:

55.56%

Explanation:

We'll begin by calculating the work done in pushing the wedge. This can be obtained as follow:

Force (F) = 900 N

Distance (s) = 0.1 m

Workdone (Wd) =..?

Wd = F × s

Wd = 900 × 0.1

Wd = 90 J

Finally, we shall determine the efficiency. This can be obtained as follow:

Work output = 50 J

Work input = 90 J

Efficiency =?

Efficiency = work output / work input

Efficiency = 50 / 90 × 100

Efficiency = 55.56%

Thus, the efficiency is 55.56%

Answer:

Both Vitamin D and folate level are affected by UV radiation from sunlight.

Explanation:

The pressure exerted on the stone is \(500000 N/m^2.\)

What is pressure?

Formula for pressure = Force / area

\(=50/1.0 X 10^4\\ =500000N/m^2.\)

The required answer is \(500000 N/m^2.\)

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the statement from Dalton's atomic theory that is no longer true is "Atoms are indivisible and cannot be divided into smaller particles."

Dalton's atomic theory, proposed in the early 19th century, stated that atoms were indivisible and indestructible particles, meaning they could not be further divided into smaller particles. However, with advancements in scientific understanding and the development of subatomic particle physics, it has been discovered that atoms are not indivisible. Atoms are composed of subatomic particles, namely protons, neutrons, and electrons. Protons and neutrons reside in the nucleus at the center of the atom, while electrons orbit around the nucleus. Furthermore, scientists have identified even smaller particles within the nucleus, such as quarks and gluons. Hence, the concept of atoms being indivisible, as proposed in Dalton's atomic theory, is no longer valid based on modern atomic theory.

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Which of the following statements from Dalton's atomic theory is no longer true, according to modern atomic theory?

A) All atoms of a given element are identical.

B) Atoms are not created or destroyed in chemical reactions.

C) Elements are made up of tiny particles called atoms.

D) Atoms are indivisible and cannot be divided into smaller particles.

when the power comes back on, the flywheel is spinning at a rate of 135 rpm. When the power comes back on, the flywheel has made 170 complete revolutions during the 28 seconds of power outage.

To find the new spinning rate, we need to calculate the decrease in rpm during the power outage.

First, calculate the initial number of revolutions made during the 28 seconds:
500 rpm * (28 s / 60 s/min) = 233.33 revolutions

Now subtract the 170 revolutions made during the power outage:
233.33 revolutions - 170 revolutions = 63.33 revolutions

Then, calculate the new spinning rate in rpm:
63.33 revolutions / (28 s / 60 s/min) = 135 rpm

So, when the power comes back on, the flywheel is spinning at a rate of 135 rpm.

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Answer:

the initial velocity is 3.9

Explanation:

v=D/T

h=vi.t-1/2gt²

(18.6-2.4)=vi x 4.7-1/2 x 10 x (4.7)²

16.2=vi x 4.7 - 110.45

vi=26.95 m/s

Answer:

i) 20-30 kg

Explanation:

The child with the smallest mass range of 20-30 kg will require the smallest force to move his skate board because he/she has a smaller inertia force to overcome. The mass of a body is the measure of the inertia forces of the body. The inertia force makes it difficult for a body at rest to start moving, and a body already in motion to stop moving.

When the children try to move the skateboard, they exert a force that is proportional to the product of their mass and the acceleration with which they start moving. This force must exceed their body's inertia force before they would start moving.

from

F = ma

where F is the force required

m is the mass

a is the acceleration

We can see that for the given mass ranges, the children with the larger mass range will require more force in order to move their skateboard. Consequently, the child with the smallest mass range will require the smallest pushing force to move his skate board.

The reaction will be spontaneous in the forward direction at temperatures greater than 334 K (60.85°C) and non-spontaneous at temperatures less than 334 K.

The expression for the spontaneity of a reaction is given by ΔG = ΔH − TΔS

where ΔH and ΔS are the enthalpy and entropy changes of the reaction and T is the absolute temperature in kelvin (K).

The spontaneity of a reaction is given by the expression ΔG = ΔH − TΔS, where ΔH and ΔS are the enthalpy and entropy changes of the reaction and T is the absolute temperature in kelvin (K).

The temperature range over which a reaction is spontaneous in the forward direction is determined by the Gibbs free energy (ΔG).

For a reaction to be spontaneous, ΔG must be negative:

ΔG < 0ΔG = ΔH − TΔS= -13.9 kJ/mol - (T(K))(−41.6 J/(mol, K)/1000 J/kJ)= -13.9 + 0.0416T

If ΔG is negative for a particular temperature range, then the reaction is spontaneous in the forward direction for that temperature range.

If ΔG is positive, the reaction is non-spontaneous, and if ΔG = 0, the reaction is at equilibrium.

Therefore, to find the temperature range at which the reaction is spontaneous in the forward direction, we can set ΔG equal to zero and solve for T:

ΔG = -13.9 + 0.0416T= 0

T = 334.13 K (to 3 significant figures)

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Answer:

4500N

Explanation:

Force =mass into acceleration

So 1500 into 3 you will get 4500

The density of the planet is \(2249.17 \frac{kg}{m^3}\)

Solution:

Given

Time period T = 1.57 hours = \(1.57 \times 60 \times 60 sec\)

using formula

T = \(\frac{2 \times \pi}{ \omega}\)

\(\omega = \frac{2 \pi} T\\\omega = \frac{2 \pi} {1.57 \times 60 \times 60 sec}\)

also, force \(F = \frac{GMm}{R^2}\)

meanwhile Force \(F = \frac{mv}{R^2}\\\)

equating both the above equations we get

we get \(v = \sqrt{\frac{GM}{R} }\)

also \(M = \frac {4\pi R^3 \rho} 3\)

also, \(\omega = \frac vR\)

then \(\frac{2 \pi} {1.57 \times 60 \times 60 sec} = \sqrt{\frac{G \frac {4\pi R^3 \rho} 3}{R} }\)

solving the equation we get

\(\rho = 2249.17 \frac{kg}{m^3}\)

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By Using Euler's method with two steps, we can find the approximate value of Y(2) is 2.125. , where Y is the solution of the initial value problem dy/dx = x - y, and Y(1) = 3.

Euler's method is defined as a numerical technique which is  used to approximate solutions into ordinary differential equations. The method includes dividing the interval of interest into smaller steps and thereafter approximating the solution at each step by using the derivative of the function.

In this case, we are given the initial value problem dy/dx = x - y, with the initial condition Y(1) = 3. To approximate Y(2) using Euler's method with two steps, we will divide the interval [1, 2] into two equal steps.

Step 1:

We start with the initial condition Y(1) = 3. Using the differential equation dy/dx = x - y, we can approximate the value of Y at the midpoint of the interval [1, 2].

Using the step size h = (2 - 1) / 2 = 0.5, we can calculate Y(1.5) as follows:

Y(1.5) ≈ Y(1) + h × (x - y) = 3 + 0.5 × (1.5 - 3) = 3 + 0.5 × (-1.5) = 2.25

Step 2:

Now, using the value of Y(1.5) as the new approximation, we calculate Y(2) using the same process:

Y(2) ≈ Y(1.5) + h × (x - y) = 2.25 + 0.5 × (2 - 2.25) = 2.25 + 0.5 × (-0.25) = 2.125

Thus,  by using Euler's method with two steps, the approximate value of Y(2) is 2.125.

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The complete question is

Use Euler's Method With Two Steps To Approximate Y(2), Where Y Is The Solution Of The Initial Value Problem: Dy : X − Y, Y(1) = 3

Answer:

Need quiet to concentrate

Are reflective

Are self-aware

Take time making decisions

Feel comfortable being alone

Don’t like group work

Prefer to write rather than talk

And maybe even feel tired after being in a crowd

Explanation:

Fluorescence is a light emission from a substance that absorbs light or any other electromagnetic radiation, and re-emits the absorbed radiation at a longer wavelength. A substance will only fluoresce if it has absorbed light of sufficient energy.

When light hits a molecule or atom, it elevates its energy level from its ground state to a higher energy level. If the absorbed energy is then emitted as visible light, it is referred to as fluorescence. In the case of the wavelength producing fluorescence while the other does not, it can be said that the wavelength that produces fluorescence is due to the molecule absorbing that particular wavelength. Molecules absorb light of a specific energy level and can re-emit it as fluorescence. Hence, if a molecule does not absorb the energy from a particular wavelength, it will not be able to fluoresce. In order to understand why one wavelength can produce fluorescence while the other cannot, we first need to understand what fluorescence is. Fluorescence is a light emission from a substance that absorbs light or any other electromagnetic radiation and re-emits it at a longer wavelength. This light emission occurs when the molecule or atom absorbs the incoming light and then re-emits it at a different energy level. The energy that is absorbed by the molecule or atom determines whether it can fluoresce or not. The reason for one wavelength producing fluorescence while the other does not is that the molecule that is emitting the fluorescence is absorbing the energy of the specific wavelength. The molecule absorbs the energy from the incoming light and then re-emits the light at a different energy level. If the absorbed energy is then emitted as visible light, it is referred to as fluorescence. Hence, if a molecule does not absorb the energy from a particular wavelength, it will not be able to fluoresce. Therefore, it can be said that the molecule's ability to fluoresce depends on its ability to absorb energy from the specific wavelength.

In conclusion, it can be said that the reason for one wavelength producing fluorescence while the other does not is because the molecule that is emitting the fluorescence is absorbing the energy of the specific wavelength. The molecule's ability to absorb energy from a specific wavelength will determine whether it can fluoresce or not. Fluorescence is a useful tool in many fields, including biology, chemistry, and physics, and understanding the basics of fluorescence can help us to better understand how it can be used in various fields.

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Pressure is a measure of force per unit area:

P = F/A

The water exerts a pressure of 202 kPa = 202,000 Pa on the diver, who has a surface area of 1.50 m². Then the force exerted by the water is F such that

F = PA

F = (202,000 Pa) (1.50 m²)

F = 303,000 N = 303 kN

Here, both the momentum and kinetic energy of he ball are conserved. There is no change in the magnitude of the speed thus, its kinetic energy is conserved.

The kinetic energy of an object is the energy generated by virtue  of its motion. It is related to its mass and velocity by the expression written below:

Ke = 1/2 mv²

The momentum of an object is the product of its mass and velocity. For an elastic collision both momentum and kinetic energy is conserved. But in the case of an inelastic collision, there is some energy loss and the kinetic energy is not conserved but momentum is conserved.

Here, the ball bounces by colliding with the floor, where its direction is changing but not the magnitude of speed. Hence, both the momentum and kinetic energy are conserved.

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A) The potential difference across the capacitor is 220 V.

B) There is a charge of 6.6 µC on each plate.

The potential difference across a capacitor can be determined using the formula V = Ed, where V represents the potential difference, E is the electric field strength, and d is the spacing between the plates. Plugging in the given values, we find V = (5.0×10⁴ V/m) × (2.5 × \(10^(^-^3^)\) m) = 125 V. However, we need to be mindful of the units, and since the electric field strength is given in V/m and the spacing is in meters, the potential difference is expressed in volts (V).

The charge on each plate of a capacitor can be calculated using the formula Q = CV, where Q represents the charge, C is the capacitance, and V is the potential difference. The capacitance of a parallel-plate capacitor is given by C = ε₀(A/d), where ε₀ is the permittivity of free space, A is the area of the plates, and d is the spacing between the plates.

By substituting the given values, we find the area of the plates to be A = π(1.7 cm)² = 9.0 cm². Converting the area to square meters, we get A = 9.0 cm² × (1 m/100 cm)² = 9.0 × \(10^(^-^4^)\) m². Using the formulas and given values, we can calculate the capacitance C = (8.85 × \(10^(^-^1^2^)\) C²/(N·m²))(9.0 × \(10^(^-^4^)\) m²)/(2.5 × \(10^(^-^3^)\) m) = 3.18 × \(10^(^-^1^1^)\) F.

Finally, by substituting the capacitance and potential difference into Q = CV, we find Q = (3.18 × \(10^(^-^1^1^)\) F)(220 V) = 6.6 × \(10^(^-^6^)\) C. Thus, there is a charge of 6.6 µC (microcoulombs) on each plate.

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Magnitude of the gravitational force exerted by earth on a 2.0- kg brick when the brick is in rest is calculated to be 19.54 N.

The gravitational force pulls objects with mass towards each other. We often think about the force of gravity from Earth but this force is what keeps your body on the ground. Any object having mass exerts a gravitational force on all other objects with mass.

We say that gravitational force is attractive because it always pulls masses together and never pushes them apart. Gravitational force is directly proportional to the mass of both interacting objects such that, more the mass of, greater is gravitational force .

F= GMm/ R²

= (6.67 *10⁻¹¹ * 6 * 10⁻²⁴ *2)/(6.4* 10⁶)

= 19.54 N

the magnitude of the gravitational force exerted by earth on a 2.0- kg brick when the brick is at rest = 19.54 N

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Answer:

This came to mind

Explanation:

when a cannon fires (in real life or in the movies) have noticed that the cannon recoils, sliding backwards after the explosion. Again, a non-zero net force on the cannon changes its momentum.

Answer:

direction

size

Explanation:

Vectors are physical quantities with both magnitude or size and direction.

Scalars are physical quantities with only size but not direction.

When describing a vector, on must specify its magnitude and direction.

Only the size of scalar quantities are needed to describe them.

Answer:

they might adapt or move to a new place

Explanation:

Answer:

in the direction of greater force