A child has a mass of 30 kg on Earth. If th gravity on Moon is one sixth that of the Earth what is the weight of the child on the Moon? Gravity on Earth = 10 N^-1​

Final resultant velocity of Disk 1 is 4.45 m/s, traveling directly north.

A vector measurement of the rate and direction of motion is known as velocity

Initial momentum of the system before collision:

\(\rm p_{initial\) = m₁v₁ + m₂v₂

m₁ = 2m (mass of disk 1)

v₁ = 5 m/s (velocity of disk 1)

m₂ = m (mass of disk 2)

v₂ = 0 m/s (initial velocity of disk 2)

\(\rm p_{initial\) = (2m)(5 m/s) + (m)(0 m/s) = 10m m/s

After collision, momentum of the system is conserved:

\(\rm p_{final\) = (2m) × v₁' + m × v₂'

v₁' = final velocity of disk 1

v₂' = final velocity of disk 2

vx = 2.4 m/s × cos(33°) = 2.0 m/s

vy = 2.4 m/s × sin(33°) = 1.3 m/s

Total momentum of system after collision is: \(\rm p_{final\) = (2m) × v₁' + m × v₂' = (2m) × v₁' + m× (vx + vy)

(1/2) ×  m₁ × v₁²= (1/2)× m₁ × v₁'²+ (1/2) × m₂ × v₂'²

(2m) × v₁' + m × (vx + vy) = 10m m/s

(1/2) × (2m) × (5 m/s)² = (1/2) × (2m) × v₁'² + (1/2) × m × (2.4 m/s)²

v₁' = 4.45 m/s

Therefore, final resultant velocity of Disk 1 is 4.45 m/s, traveling directly north.

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Bill James came up with the Pythagorean Theorem of Baseball, which connects the amount of runs a club has scored and given up to its actual winning %.

The Pythagorean Theorem is the idea that a baseball team's record may be roughly estimated by taking the square of team runs scored and dividing it by the square of team runs scored plus the square of team runs allowed. Bill James, a baseball analyst, made this idea famous.

The Pythagorean Winning % approach uses the relationship between a team's victories and losses and the number of points scored and allowed to calculate the predicted winning percentage. To follow Pythagorean winning percentages for the seasons, consult the team statistics.

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Answer:

the cognitive abilities of an individual to learn from experience to reason well, and to cope effectively with the demands of daily living

Explanation:

Yes that can be understood by a simple example

Suppose two people are in exam

\(\large\longrightarrow \) Intelligence is the cognitive abilities of an individual to learn from experience to reason well, and to cope effectively with the demands of daily living.

Answer:

c. long chains of carbon molecules

When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, the magnetic induction (B) is increased.

Therefore, the correct answer is:

(a) There is a large increase in the magnetic induction (B)

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a) The electric flux through the conducting sphere at r = 2 m is 0. The electric flux through the conducting sphere at r = 4 m is 0. The electric flux through the conducting sphere at r = 6 m is 0.

b) The electric flux through the insulating sphere (uniform charge density) at r = 2 m is 288π N·m²/C. The electric flux through the insulating sphere (uniform charge density) at r = 4 m is 288π N·m²/C. The electric flux through the insulating sphere (uniform charge density) at r = 6 m is 72π N·m²/C.

c) The electric flux through the insulating sphere (non-uniform charge density) at r = 2 m is 16kπ N·m²/C. The electric flux through the insulating sphere (non-uniform charge density) at r = 4 m is 64kπ N·m²/C. The electric flux through the insulating sphere (non-uniform charge density) at r = 6 m is 144kπ N·m²/C.

a) For a conducting sphere, the electric field inside the sphere is zero. Hence, the electric flux through the sphere is zero at any distance from the center of the sphere.

b) For an insulating sphere with uniform charge density, the electric flux through a closed surface is given by Gauss's law:

Electric flux (Φ) = Electric field (E) * Surface area (A)

The electric field inside a uniformly charged insulating sphere is given by:

E = k * (Q / r³)

Where:

k is the electrostatic constant (9 × 10^9 N·m²/C²)

Q is the charge of the sphere

r is the distance from the center of the sphere

The surface area of a sphere is given by:

A = 4πr²

Substituting the given values into the equations, we can calculate the electric flux.

c) For an insulating sphere with non-uniform charge density, where the charge density is given by rho = kr², the electric flux can still be calculated using Gauss's law. However, the charge inside the Gaussian surface depends on the radius r. The charge inside a Gaussian surface of radius r is given by:

Q(r) = ∫(0 to r) rho * 4πr² dr

Substituting the expression for rho into the equation and integrating, we can find the charge Q(r). Then, we can calculate the electric flux using Gauss's law as in part b.

The electric flux through a conducting sphere is always zero, regardless of the distance from the center. For an insulating sphere with uniform charge density, the electric flux is the same at any distance from the center. However, for an insulating sphere with non-uniform charge density, the electric flux varies with the distance from the center. Calculations for the electric flux involve applying Gauss's law and considering the appropriate charge distribution for each scenario.

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Answer:

Net force is the vector sum of forces acting on a particle or body. The net force is a single force that replaces the effect of the original forces on the particle's motion. It gives the particle the same acceleration as all those actual forces together as described by Newton's second law of motion.

Explanation:

use this, but put it into you own words.

Answer:

The vector sum of forces acting on a particle or body is referred to as net force. The net force is a single force that replaces the effect of the original forces on the motion of the particle. It provides the particle with the same acceleration as all of the actual forces combined, as described by Newton's second law of motion.

°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•

Hope it helps

Have a great day!!

Explanation:

friction opposes the relative motion between two bodies,hence it decreases the kinetic energy but, in the view that friction supplies the force that accelerates the object , for example friction helps in walking we can say that friction causes an increase in kinetic energy

Answer:

In most situations, frictional forces tend to reduce the kinetic energy of an object. However, frictional forces can sometimes increase an object's kinetic energy.

The efficiency of the coal power plant is approximately 16.67%. To determine the efficiency of the coal power plant, we need to calculate the useful output energy and compare it to the input energy.

Given:

Coal consumption rate: 100,000 kg/hour

Power output: 500 MW (500,000,000 watts)

Heat of combustion of coal: 30 MJ/kg

First, let's calculate the input energy, which is the energy provided by the coal combustion:

Input energy = Coal consumption rate * Heat of combustion of coal

Since the coal consumption rate is given in kilograms per hour and the heat of combustion is given in megajoules per kilogram, we need to convert the units:

Coal consumption rate = 100,000 kg/hour

Heat of combustion of coal = 30 MJ/kg

Input energy = (100,000 kg/hour) * (30 MJ/kg)

Input energy = 3,000,000 MJ/hour

To calculate the efficiency of the power plant, we need to compare the useful output energy (power) to the input energy.

Efficiency = (Useful output energy / Input energy) * 100%

Since power is given in watts and energy is given in joules, we need to convert the units:

Power output = 500 MW = 500,000,000 watts

Now we can calculate the efficiency:

Efficiency = (Power output / Input energy) * 100%

Efficiency = (500,000,000 watts / 3,000,000,000 watts) * 100%

Efficiency = 16.67%

Therefore, the efficiency of the coal power plant is approximately 16.67%.

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The force applied to pull the box up the ramp acts parallel to the incline is 8N

The force applied to pull the box is expressed as:

\(F_N = F_m + F_f\)

Fm is the moving force

Ff is the force of friction

Get the moving force and frictional fice

\(F_m = 10sin30^0 = 5N\\F_f = 3N\)

The force applied to pull the box up the ramp acts parallel to the incline = 5N + 3N  = 8N

Hence the force applied to pull the box up the ramp acts parallel to the incline is 8N

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Given that,

Mass of the stone, m = 400 g = 0.4 kg

Initial speed, u = 20 m/s

It is climbed to a height of 12 m.

To find,

The work done by the resistance force.

Solution,

Let v is the final speed. It can be calculated by using the conservation of energy.

\(v=\sqrt{2gh} \\\\v=\sqrt{2\times 9.8\times 12} \\\\v=15.33\ m/s\)

Work done is equal to the change in kinetic energy. It can be given as follows :

\(W=\dfrac{1}{2}m(v^2-u^2)\\\\=\dfrac{1}{2}\times 0.4\times (15.33^2-20^2)\\\\=-32.99\ J\)

So, the required work done is 32.99 J.

Answer:

If I were you I'd go with B, it just seems to make the most sense to me out of these options.

Answer:

kilograms and m²/s²

Explanation:

The SI units combined to describe energy is kilograms and m²/s² ;

  Energy can be derived from;

Potential energy  = mgh

   Units               = kg x m/s² x m

                          = kg m²/s²

Even if we use kinetic energy, we still get kg m²/s²

Answer:

Mass=3,time=15,height=50,g=10,Power=?.

Power=mgh/t.....3×10×15=1500/15=100Watts.

Answer:

\(\huge \boxed{\mathrm{100 \ Watts}}\)

Explanation:

\(\sf \displaystyle P=\frac{mgh }{t} \\\\\\ P=power \ (W) \\\\ m=mass \ (kg) \\\\ g=gravity \ acceleration \ (m/s^2) \\\\ h=height \ (m) \\\\ t=time \ taken \ (s)\)

\(\sf \displaystyle P=\frac{3 \times 10 \times 50 }{15}\)

\(\sf \displaystyle P=\frac{1500 }{15}\)

\(\sf \displaystyle P=100\)

Answer:

the answer would depend on the motion if the surface

The sources must be 0.042 meters (42 mm) apart for their diffraction patterns to be resolved by Rayleigh's criterion.

To find the distance between the sources, we can use Rayleigh's criterion formula:
θ = 1.22 * (λ / D)
where θ is the angular separation, λ is the wavelength, and D is the diameter of the pinhole. First, calculate the angular separation:
θ = 1.22 * (700 nm / 0.7 mm) = 1.22 * (700 * 10^(-9) m / 0.7 * 10^(-3) m) ≈ 1.22 * 0.001 = 0.00122 radians
Next, we can use the formula for angular separation to find the distance between the sources:
distance = θ * L
where L is the distance from the pinhole to the sources (12 m in this case). So,
distance = 0.00122 radians * 12 m ≈ 0.042 meters (42 mm)

Summary: For the two sources of light with a wavelength of 700 nm and 12 m away from a pinhole of diameter 0.7 mm, they must be 0.042 meters (42 mm) apart for their diffraction patterns to be resolved by Rayleigh's criterion.

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No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.

This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.

i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.

ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.

The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.

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Answer:

If the helicopter is not moving, then it is not being accelerated.

By second Newton's law we have that:

F = m*a

Force equals mass times acceleration.

Then if we do not have acceleration, we have:

F = m*a = m*0 = 0.

Then the total force must be zero.

So if the gravitational force (pulling down) is 115N, then the force of the propeller must be such that:

Total force = F - 115N = 0

F = 115N

The force of the propeller must be also of 115N, but in the opposite direction.

The magnitude of the force F on the 1.0 nC charge in the figure is the positive charge and force F is 8 x 10^9 N (8 Giga Newtons).

The force F on the 1.0 nC charge in the figure can be calculated using Coulomb's law, which states that the force between two point charges is proportional to the inversely proportional to the square of the distance between the charges and a product of the charges. The magnitude of the force can be calculated using the following formula:

|F| = k x |q1| x |q2| / r^2

where k is the Coulomb constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the charges (in Coulombs), and r is the distance between the charges (in meters).

In this case, q1 = 1.0 nC = 1.0 x 10^-9 C and q2 = -1.0 nC = -1.0 x 10^-9 C (since the charges are opposite and the force is attractive) and r = 0.1 m.

So, the magnitude of the force F can be calculated as:

|F| = k x |q1| x |q2| / r^2 = (9 x 10^9 Nm^2/C^2) x (1.0 x 10^-9 C) x (-1.0 x 10^-9 C) / (0.1 m)^2 = 8 x 10^9 N

The magnitude of the force F is 8 x 10^9 N (8 Giga Newtons)

It's important to note that the direction of the force is from the positive charge.

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Answer:

Explanation:

Time taken by jogger to travel the distance to finishing line = 2.1 / 7.3

= .28767 hr

Bird will keep flying for this time period

distance covered by bird = speed x time

= 29.2 x .28767 km

= 8.4 km .

Answer:

blue

Explanation:

blue is the only color being reflected, meaning it's the only one that will be visible

From examining the peak wavelength of the light emitted from a star, we can determine the star's temperature. This is because the peak wavelength of light emitted by a star is directly proportional to its temperature, according to Wien's Law.

Wien's Law states that the wavelength of the peak of the blackbody radiation spectrum is inversely proportional to the temperature of the object emitting the radiation. Therefore, hotter objects emit light with shorter wavelengths, while cooler objects emit light with longer wavelengths.

When a star emits light, its temperature determines the peak wavelength of the emitted light. By analyzing the spectrum of the star's light, astronomers can determine the wavelength at which the light is most intense, and this can be used to estimate the star's temperature. This information can help us learn more about the star's characteristics, such as its size, mass, and age.

In summary, the peak wavelength of light emitted by a star is directly related to its temperature, and by analyzing the star's spectrum, we can determine its temperature and learn more about its properties.

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Answer:

all living things are made of cells

Explanation:

cells are kinda like matter but only for living thing like when someone says you white blood cell count is low its because they are part of you living body.

a) - 627.7 m

b) - 44.8 m/s

a) we use the formula,

d = gt²/2

when we substitute the values,

d = -1.6 X 28²/2

= -1.6 X 784/2

= - 627.2m

distance travelled by the stone was - 627.2m

b) calculate the impact,

v = gt

substitute,

v = (-1.6) X 28

v = - 44.8 m/s

The negative sign here indicates that the object is going down.

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In the photoelectric effect experiment, red light does not cause the emission of an electron, while blue light can, due to their respective energies.

The photoelectric effect is the phenomenon of electrons being emitted from a metal surface when it is exposed to electromagnetic radiation, such as light. The energy of the electromagnetic radiation must be greater than the work function of the metal, which is the minimum amount of energy required to remove an electron from the surface.

In the case of red light, the energy of the photons is not high enough to overcome the work function of the metal. Blue light, on the other hand, has a higher energy per photon and can provide enough energy to remove electrons from the metal surface. This is because the energy of a photon is directly proportional to its frequency, and blue light has a higher frequency than red light.

Therefore, the color of the light determines the energy of the photons, which in turn affects whether or not electrons will be emitted from the metal surface.

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The average force required to stop the vehicle in a distance of 0.178 m  is 4951.7 N.

The average force is the force applied by an item traveling over a specific period of time at a defined rate of speed, or velocity. This velocity is not instantaneous or precisely calculated, as the word "average" indicates.

vf² = v₀² - 2 ax

The final carriage speed is zero (vf = 0)

0 = v₀² - 2ax

a = v₀² / 2x

a = 1.28²/(2× 0.178)

a = 4.602 m / s²

a = 4.6 m/s²    

We calculate the average force

F = ma

F = 1076 × 4.602

F = 4951.7 N

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The lead nucleus doesn't burst apart because the strong nuclear force holds the nucleus together. The correct option id d.

The protons in a nucleus all have a positive charge, which creates a strong Coulomb repulsive force between them. This force would normally cause the nucleus to burst apart, as the protons repel each other.

However, the strong nuclear force is also at work inside the nucleus. This force is stronger than the Coulomb force and holds the nucleus together. The strong nuclear force acts between the protons and neutrons in the nucleus, and it is able to overcome the repulsive Coulomb force because it operates over a very short range, typically only a few femtometers.

The strong nuclear force is a result of the exchange of particles called mesons between the protons and neutrons in the nucleus. In summary, the strong nuclear force overcomes the repulsive Coulomb force and holds the lead nucleus together. Option d is the correct answer.

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Answer:

Centripetal acceleration = 104.2 (Approx)

Explanation:

Find:

Centripetal acceleration

Given:

Velocity = 25 m/s

Radius r =6 m

Computation:

Centripetal acceleration = v² / r

Centripetal acceleration = 25² / 6

Centripetal acceleration = 104.467

Centripetal acceleration = 104.2 (Approx)

Answer:

the force of resistance on the right team is 360 N

Explanation:

Given;

force of the left team, = 1000 N

total mass of the right team, m = 300 kg

acceleration of the right team, a = 1.2 m/s²

The force of resistance of the right team is calculated as;

Force = mass x acceleration

Force, F = 300 x 1.2

Force = 360 N

Therefore, the force of resistance on the right team is 360 N

Answer:

metallic bond

Explanation: