A fixed particle with charge –8.8 nC and a second particle with charge –4.3 nC, respectively, are initially separated by a distance of 0.11 m. They are released and the second particle moves 0.030 m. A) What is the change in electric potential energy? B) Did the second particle move toward or away from the source charge?

The stone will strike the ground after approximately 8 seconds.
To solve this problem, we can use the equation of motion for a freely falling object:
h = v₀t - 1/2gt²

Where h is the height of the object at time t, v₀ is the initial velocity, g is the acceleration due to gravity (32.2 feet per second squared), and t is the time elapsed.

At the highest point of its trajectory, the stone's velocity will be zero. Therefore, we can use the given initial velocity to find the time it takes for the stone to reach its maximum height:

v₀ = 96 feet per second
h = 265 feet
t₁ = v₀/g = 96/32.2 = 2.98 seconds

After this, the stone will fall back to the ground. We can use the same equation of motion to find the time it takes to reach the ground:

h = 0 (ground level)
v₀ = -96 feet per second (negative because it is in the opposite direction of the initial velocity)
t₂ = sqrt(2h/g) = sqrt(2(265)/32.2) = 4.01 seconds

The total time it takes for the stone to strike the ground is the sum of the time it takes to reach the maximum height and the time it takes to fall back to the ground:

t = t₁ + t₂ = 2.98 + 4.01 = 6.99 seconds

Rounding to the nearest whole number, we get that the stone will strike the ground after approximately 8 seconds.

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Net momentum gained by object due to application of 15N is 150N sec.

Given - Force=15N

time =10 sec

To find - momentum or change in momentum due to application of force.

Concept - We can utilize the concept of Impulse as due to application of force impulse is created that substantiates the role of momentum. Therefore impulse equalizes momentum generated ,

Impulse = Momentum Gained

Mathematically, Impulse =momentum = Force x Time

= 15 x 10

Ans = 150 N sec

Therefore, the momentum will be 150 N

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Answer:

Explanation:

Metals refers to the natural elements that are hard, shiny, opaque and dense.

Non-metals implies those chemical substances that are soft, non-shiny, transparent and brittle

KEEP IN MIND: Most metals are hard, except sodium. Most non-metals are soft, except diamond.

This table will help you understand it better.

Answer:

A

Explanation:

0-2         1.0

2-4         0.5

4-6         0

The table of velocity of toy car is drawn below.

What is velocity ?

velocity is defined as rate of change of displacement of the object with respect to rate of change in time. In mathematics It is written as :

                                           \(\begin{aligned}v= \frac{\Delta d}{\Delta t}=\frac{d_{2}-d{1}}{t_{2}-t_1}\end{aligned}\)

considering time interval from t=0 sec to t=2 sec the distance travelled by the toy car is d=0m to d=2m. therefore, the velocity will be :

                                      \(\begin{aligned}v&=\frac{d_{2}-d{1}}{t_{2}-t_1}\\&=\frac{2-0}{2-0}\\&=1 \text{\:m/s}\end{aligned}\)

similarly for interval t = (2sec - 4sec ) and t = (4sec - 6sec) is also calculate and written in table below.

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The final speed of the wreckage after the collision is 17.5 km/h north.

The final speed of the wreckage after the collision is calculated by applying the principle of conservation of linear momentum.

m₁u₁ + m₂u₂ = v ( m₁ + m₂ )

where;

let north be positive and let south be negative direction

The final speed is calculated as follows;

(2 x 70) - (1.2 x 70) = v ( 2 + 1.2 )

56 = 3.2v

v = 56/3.2

v = 17.5 km/h north

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Answer:

The velocity of the crossbow as it recoils is 5 m/s. This can be calculated using the conservation of momentum. The momentum of the system before the bow was triggered is 0 (since the bow is stationary). After launching the bolt, the momentum of the system is (0.10 kg * 25 m/s), so in order for the momentum of the system to remain constant, the crossbow must recoil with a momentum of (5.0 kg * -5 m/s).

Answer:

radius=4.77cm

Explanation:

given

r=? ,h=14 , v=1000

then using the formula

\(r = \sqrt{ \frac{v}{\pi \: h} } \)

= √1000/π•14

=4.77cm

Answer:

Joules

Explanation:

The unit for Energy is Joules, which is equal to kg m²/s².

The gravitational potential energy is calculated as:

Where m is mass (kg), g is gravity (m/s²) and h is the height (m). So, the unit of the potential energy is:

Therefore, the answer is joules.

The ground state term symbol of Si (Z=14) is 3P.

To predict the ground state term symbol of Si (Z=14), follow these steps:

1. Identify the electron configuration of Si. Si has 14 electrons, and its electron configuration is 1s² 2s² 2p⁶ 3s² 3p².

2. Focus on the outermost occupied shell, which is the 3p² subshell.

3. Determine the total spin quantum number (S) by adding the spins of the electrons in the 3p² subshell. Since there are two unpaired electrons with a spin of ½ each, the total S is 1 (½ + ½).

4. Calculate the total orbital angular momentum (L) using the orbital quantum number (l) for the 3p² subshell. For the p orbital, l = 1. Since there are two unpaired electrons, the total L is 2 (1 + 1).

5. Determine the term symbol using the values for S and L. The term symbol is given by 2S+1 L, where L is represented by a letter (S, P, D, F, etc.). In this case, the term symbol is 3P.

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Answer:force required to lift the load = 500N

Explanation:

Mechanical advantage for a lever is given by the formulae

= force output/force input

or

Mechanical Advantage = Load / Effort

where

Force output  / Load= 800 N

mechanical advantage = 1.6

Force input / Effort =??

Force input=  Force output /Mechanical advantage

= 800N / 1.6

=500N

OR

Effort = Load/ Mechanical Advantage = 800/ 1.6 = 500N

Answer:

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What happens to kinetic energy as velocity increases?

Explanation:

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\(stay \: safe\)

When the velocity of an object increases, the kinetic energy of the object increases as well.

The kinetic energy of an object is the energy possessed by the object due to its motion.

The kinetic energy of an object in motion is calculated as follows;

K.E = ¹/₂mv²

where;

Thus, from the equation above, when the velocity of an object increases, the kinetic energy of the object increases as well.

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The following relationship between impulse and momentum enables for the proper outcome to be determined: The average force Impulse falls as impact time increases.

The impulse, which is connected to the fluctuation in the quantity of movement, is calculated by multiplying the applied force by the time interval. I=F dt =p =m v f - m v0

When I is the impulse, F is the applied force, t is the time, p is the momentum, m is the mass, and v is the body's velocity, all of which are vectors. When the body stops, its speed is zero, and the height of the body affects how quickly it strikes the foam bed. A certain amount of force must be applied in order for someone to be hurt.

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(An open zone) is a space where we can drive without restrictions to our line of sight or intended path of travel.

There are at least three types of zone we may encounter on the road, which are:

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The magnetic field at the center of the square for this case is 0 T (tesla).

To calculate the magnetic field at the center of the square, we will use Ampère's Law, particularly the Biot-Savart Law. Each wire carries a 100-A current, and the distance between each wire and the center of the square is 10 cm (half the side length).

First, let's find the magnetic field due to one wire at the center of the square. The formula for the magnetic field at a perpendicular distance (R) from a long straight wire carrying current (I) is given by:

B = (μ₀ * I) / (2 * π * R)

Where B is the magnetic field, μ₀ is the permeability of free space (4π × 10⁻⁷ T·m/A), I is the current (100 A), and R is the distance (0.1 m).

Now, since there are 4 wires, we need to find the total magnetic field at the center of the square. Each wire contributes a magnetic field, but they are not in the same direction. Therefore, we need to find the vector sum of these magnetic fields.

The magnetic fields due to opposite wires have the same magnitude but are in opposite directions. Therefore, the total magnetic field at the center of the square is zero (since the magnetic fields cancel each other out).

So, the magnetic field at the center of the square for this case is 0 T (tesla).

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Answer:

a

Explanation:

Answer:

\(\boxed {\boxed {\sf 157.5 \ Joules }}\)

Explanation:

Work is equal to the product of force and distance.

\(W=F*d\)

The box is being pushed with an effort (force) of 45 Newtons and the distance is 3.5 meters.

\(F= 45 \ N \\d= 3.5 \ m\)

Substitute the values into the formula.

\(W= 45 \ N * 3.5 \ m\)

Multiply.

\(W= 157.5 \ N*m\)

\(W= 157.5 \ J\)

157.5 Joules of work are done on the crate.

The resistance of the copper wire is 160 Ω

given data

R=ρ l/S

R(Al)=0.353 Ω , ρ(Al)=2.82*10^(-8) Ωm

ρ(Cu)=1.72*10^(-8) Ωm

R(Al) * ρ(Al) * l(Al) / S(Al) = R(Cu) * ρ(Cu) * l(Cu) / S(Cu)

Since l(Al) / S(Al) = l(Cu) / S(Cu) ,

we get

R(Al) * ρ(Al) = R(Cu) * ρ(Cu)

R(Cu) = 0.263Ω. * 1.72 / 2.82 =.160 Ω

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The acceleration of the baseball is 500 m/s².

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull.

The mass of the baseball, m = 0.2 kg

The force acting on the baseball is 100 N.

By Newton's second law of motion,

F = ma

Substituting the values in the above equation,

100 N = 0.2 kg × a

a = 100 / 0.2

a = 500 m/s²

The total mass when the baseball and baseball bat are in contact is:

m = 0.2 + 0.94 = 1.14 kg

Then the acceleration will be:

F = ma

100 = 1.14 × a

a = 87.7 m/s²

The acceleration of the ball after the contact is 500 m/s².

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The theoretical efficiency is greater than that of the actual efficiency of the engine. This is because heat engine always produces some waste heat.

The Second Law of Thermodynamics states that a heat engine cannot be 100% efficient. In practice, a heat engine is only 100% efficient when it is operating at about 30-50% efficiency.

If we were to multiply this by 100, we would get the efficiency as a percent: 49%. This is the theoretical maximum efficiency. If we were to actually build an engine, it would be less efficient than the theoretical engine. The theoretical engine that can achieve this theoretical maximum efficiency is called the Carnot Engine.

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Answer:

Surface

Explanation:

Rayleigh Waves—surface waves that move in an elliptical motion, producing both a vertical and horizontal component of motion in the direction of wave propagation. Particle motion consists of elliptical motions (generally retrograde elliptical) in the vertical plane and parallel to the direction of propagation.

(a). The object distance (do) is essentially at infinity, the image formed on the slide film is at the focal point of the lens, which means the diameter of the moon's image on the slide film will be equal to the diameter of the lens. Thus, the diameter of the moon's image on the slide film is 53.0 mm.

(b). The diameter of the moon's image on the screen is approximately 44.92 mm.

To solve this problem, we can use the thin lens formula:

1/f = 1/di + 1/do,

where f is the focal length of the lens, di is the image distance, and do is the object distance.

(a) Finding the diameter of the moon's image on the slide film:

Given:

Focal length of the lens (f) = 53.0 mm = 0.053 m

Object distance (do) = Mean distance from the Earth to the Moon = 3.85 × \(10^8\) m

Since the camera forms a real image on the slide film, the image distance (di) is equal to the focal length of the lens (f). Therefore, di = f.

Using the thin lens formula, we can solve for the object distance (do):

1/f = 1/di + 1/do

1/0.053 = 1/0.053 + 1/do

1/do = 1/0.053 - 1/0.053

1/do = 0

do = infinity

(b) Finding the diameter of the moon's image on the screen:

Given:

Focal length of the projector lens (f) = 103.4 mm = 0.1034 m

Image distance (di) = Distance from the lens to the screen = 16.1 m

Using the thin lens formula, we can solve for the object distance (do):

1/f = 1/di + 1/do

1/0.1034 = 1/16.1 + 1/do

1/do = 1/0.1034 - 1/16.1

1/do = 0.0096704 - 0.0621118

1/do = -0.0524414

do = -1/0.0524414 ≈ -19.07 m

Since the object distance (do) is negative, it means the object (moon's image) is located on the same side as the lens. In this case, the diameter of the moon's image on the screen will be given by the formula:

diameter = (di/do) × diameter of the moon's image on the slide film

Plugging in the values:

diameter = (16.1 m) / (-19.07 m) × 53.0 mm

diameter = -0.845 × 53.0 mm

diameter ≈ -44.92 mm

The negative sign indicates an inverted image. However, the magnitude of the diameter is what matters, so the diameter of the moon's image on the screen is approximately 44.92 mm.

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The amount of work required to bring a positive charge of 3.00 109 c from infinity to the location x 30.0 cm can be calculated using the formula W = qV, where W is the work, q is the charge, and V is the potential difference.

The potential difference for this situation is equal to the electric potential at 30.0 cm, which is equal to the electric potential from the 9.00 109 c point charge at the origin.

The work needed is equal to the charge multiplied by the potential difference, so W = qV = (3.00 109 c)(9.00 109 c/30.0 cm) = 9.00 108 c2/cm. This is the amount of work required to bring a positive charge of 3.00 109 c from infinity to the location x 30.0 cm.

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Answer:

The weight and the mass of an object are related because the weight of an object is a measure of the force exerted on the object by gravity, or the force needed to support it. w=mg

Answer:

a solution

Explanation: A solution is a homogeneous mixture consisting of a solute dissolved into a solvent .

ANSWER:

(a) 0.100 m^3

STEP-BY-STEP EXPLANATION:

We have that the force is equal to mass times gravity, therefore, we can calculate the mass, because the difference in force would be the volume of the stone.

Therefore

Now, we know that the density is equal to the quotient between the mass and the volume, therefore we can calculate the volume like this:

Therefore the volume of the piece is 0.100 cubic meters.

Answer:

63.01 kg is the mass of the student whose weight is 618 Newton

Mass of student is 63 kilogram (Approx.)

Given that;

Weight of a student = 618 Newton

Find:

Mass of student

Computation:

We know that;

Gravitational acceleration g = 9.8 m/s²

So,

Mass  = Weight / Gravitational acceleration

Mass of student = 618 / 9.8

Mass of student = 63.06

Mass of student = 63 kg (Approx.)

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The rms speed of diatomic hydrogen and the total translational kinetic energy of diatomic oxygen. The total translational kinetic energy of 1.0 mole of diatomic oxygen at 50°C can be calculated using the formula:

Total Translational Kinetic Energy = (3/2) * R * T

Where R is the ideal gas constant (8.314 J/(mol·K)) and T is the temperature in Kelvin. To convert 50°C to Kelvin, we add 273.15:

T = 50°C + 273.15 = 323.15 K

Now we can substitute the values into the formula:

Total Translational Kinetic Energy = (3/2) * 8.314 J/(mol·K) * 323.15 K

Calculating this expression will give us the total translational kinetic energy of 1.0 mole of diatomic oxygen at 50°C.

Regarding the information about the rms speed of a diatomic hydrogen molecule at 50°C, it states that it is 2000 m/s and that 1.0 mol of diatomic hydrogen at 50°C has a total translational kinetic energy of 4000 J.

It's important to note that the rms speed is related to the average kinetic energy of a gas molecule, but not directly to the total translational kinetic energy of a mole of gas. The total translational kinetic energy takes into account the number of molecules and their individual kinetic energies.

Therefore, we cannot directly compare the given information about the rms speed of diatomic hydrogen and the total translational kinetic energy of diatomic oxygen. They are different properties and cannot be equated or compared in this context.

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Stars give off a tremendous amount of thermal and nuclear energy. The correct option is C.

Massive amounts of thermal and radioactive energy are released by stars. Thermal radiation that spans the electromagnetic spectrum is produced by the extreme heat produced by nuclear fusion processes at their centers.

The heat, visible light, and other types of electromagnetic radiation that we perceive from stars are all produced by this thermal energy.

Unlike electrical or chemical processes, which are significant on planets like Earth, nuclear fusion is the primary source of energy for stars.

In this process, hydrogen is changed into helium, which releases a tremendous quantity of energy in the form of light and heat.

The luminosity and dynamic processes that characterize the life cycle of stars are maintained through the interaction of thermal and nuclear energy.

Thus, the correct option is C.

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Your question seems incomplete, the probable complete question is:

Stars give off a tremendous amount of thermal and ________ energy.(1 point)

A. chemical

B. electrical.

C.  nuclear

D. radiant radiant

Answer:

A thermo flask has a cork which prevents heat loss by conduction.

It also has vacuum which prevents heat loss by convection.

u have to divide it and u will get the answer