What is the mass of a cannonball if a force of 2,500 N gives the cannonball an acceleration of 200 m/s2? Question 5 options: 15. 0 kg 12. 5 kg 20 kg 25 kg.

The moment of a couple is Force × perpendicular distance from the arm of the line of action

so the arm of the couple= moment of couple/force=8.5/34=0.25m

the arm is 0.25m

#Batangas

\(\\ \tt\longmapsto d=\dfrac{49.07}{8}\times 100\)

\(\\ \tt\longmapsto d=6.13(100)\)

\(\\ \tt\longmapsto d=613km\)

#Puerto Princesa

\(\\ \tt\longmapsto d=\dfrac{58.10}{8}\times 100\)

\(\\ \tt\longmapsto d=7.26(100)\)

\(\\ \tt\longmapsto d=726km\)

#Davao

\(\\ \tt\longmapsto d=\dfrac{39.47}{8}\times 100\)

\(\\ \tt\longmapsto d=4.93(100)=493km\)

According to the principle of continuity, the velocity of a fluid multiplied by the cross-section through which it flows at one point will equal the product of velocity and cross-section at another point.

The principle of continuity, also known as the continuity equation, is the fluid mechanic's principle. Simply put, what flows into a defined volume over a specified period of time minus what flows out of that volume over that specified period of time must accumulate in that volume. The substance in that volume is depleted if the accumulation's sign is negative.

This is so that our eyes, once they start to follow anything, will keep moving in that direction until they come across another thing or object. A line with an arrow at the end of it, for instance, is a great illustration of the continuity concept.

Note that three conditions must be met for a function to be continuous at a point: At that time, the limit must exist.

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Answer:

Replication Crisis

Explanation:

Replication crisis in psychology- It refers to the concerns about credibility of finding the results in psychological science.

When you eat pizza, chemical energy is transferred to mechanical energy.

Energy can be defined as the ability to do work. Thus, energy must be possessed or transferred to a physical object (body) before work can be done.

In Science, there are different forms of energy and these include the following;

When a person eats pizza, the chemical energy contained in this snack is transferred to mechanical energy.

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Answer:

i think b sorry if im wrong!

Explanation:

It should be noted that to calculate the acceleration between points B and E, we need to have information about the initial and final velocities, as well as the time it takes to go from point B to point E.

Assuming we have this information, we can use the following formula to calculate the acceleration:

acceleration = (final velocity - initial velocity) / time

Here's a step-by-step process to calculate the acceleration between points B and E:

Determine the initial velocity at point B. This could be given to you or you may need to calculate it based on other information.

Determine the final velocity at point E. Again, this could be given to you or you may need to calculate it based on other information.

Determine the time it takes to go from point B to point E. This could be given to you or you may need to calculate it based on other information.

Plug the values from steps 1, 2, and 3 into the acceleration formula:

acceleration = (final velocity - initial velocity) / time

Calculate the acceleration using the formula and express the answer in the appropriate units (such as meters per second squared or feet per second squared).

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Answer:

D. Elastic force

Explanation:

Force of elasticity

Copernican heliocentrism was a novel concept that fundamentally altered the geocentric view of the universe.

The father of modern astronomy is Nicolaus Copernicus, a Polish astronomer and mathematician. The heliocentric hypothesis of the solar system, which he initially put forth, states that Earth and other planets rotate around the sun.

Nicolaus Copernicus created the Copernican heliocentrism astronomical theory, which was first presented in print in 1543. This theory put the Sun in the center of the cosmos, stationary, and had Earth and the other planets orbit it at uniform speeds in circular orbits modified by epicycles.

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Answer:

The answer is Radiation.

Explaination:

A and B are wrong because you can't have convection or convection currents without air, and all the air has been removed from the box.

D is wrong because there is no liquid in the box.

C is correct because heat can be transmitted even through a vacuum by radiation (e.g., the Sun). You can quickly feel the heat radiated by a piece of white-hot iron.

Answer:

Net force required to accelerate the car is 6000 N

Explanation:

Force is calculated by the equation, F = Mass × Acceleration

This is based on Newton's Second Law of Motion which states that the force acting on an object is its mass times the acceleration of the object.

Here, mass = 3000 kg and acceleration = 2 m/s²

⇒ Force = Mass × Acceleration

             = 3000 × 2 = 6000 N

⇒ F = 6000 N

⇒ M = 3000 kg

⇒ a = 2 m/s²

Answer:

Velocity is the rate at which an object changes position

Answer:

Speed and velocity are both measured using the same units.

Explanation:Speed and velocity are both measured using the same units. The SI unit of distance and displacement is the meter. The SI unit of time is the second. The SI unit of speed and velocity is the ratio of two — the meter per second .

Answer: time & displacement

Explanation:

According to the question an electromagnetic wave in a vacuum moves at the speed of light.

An electromagnetic wave is a type of energy that is created by the vibration of an electric field and a magnetic field. Electromagnetic waves are an invisible form of energy that can travel through a vacuum and other types of matter. They can also travel through the air and other materials, such as metal and water. Electromagnetic waves are responsible for many of the phenomena we observe in our everyday lives, such as light, sound, and radio. Electromagnetic waves have a wide range of frequencies, ranging from high-energy gamma rays to low-energy radio waves. Each type of electromagnetic wave has its own unique properties, such as wavelength, frequency, and amplitude. Electromagnetic waves are also responsible for the transmission of information through cell phones, radio waves, television waves, and microwaves.

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Answer:

600

Explanation:

w/T=power

not direct

force=mass×acceleration

acceleration=10

so since mass =30kg

force =30×10=300

distance=10m

force×distance

300×10

=3000=workdone

3000÷5

=600

power =600W

Answer:

Light is electromagnetic radiation that has properties of waves. The electromagnetic spectrum can be divided into several bands based on the wavelength. As we have discussed before, visible light represents a narrow group of wavelengths between about 380 nm and 730 nm.

OR

The primary properties of visible light are intensity, propagation-direction, frequency or wavelength spectrum and polarization, while its speed in a vacuum, 299 792 458 m/s, is one of the fundamental constants of nature.

Given: Force F = 4i − 8j + 5k Distance = √(6 - 0)² + (16 - 10)² + (24 - 4)² = √36 + 36 + 400 = √472Newtons (N)Work done is given by the dot product of force F and distance. So, Work done = F.

Swhere S is the displacement = final position - initial position = (6i + 16j + 24k) - (0i + 10j + 4k) = 6i + 6j + 20kWork done = F.S= (4i - 8j + 5k).(6i + 6j + 20k) = 4(6) - 8(6) + 5(20) = 24 - 48 + 100 = 76J

Therefore, the work done by force F = 4i − 8j + 5k that moves an object from the point (0, 10, 4) to the point (6, 16, 24) along a straight line is 76J (Joules).

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Answer:

P₁ = 1.0 atm

V₁ = 35 L

P₂ = 0.75 atm

Formula:

P₁V₁ = P₂V₂

Solution:

P₁V₁ = P₂V₂

V₂ = P₁V₁ / P₂

V₂ = (1.0 atm)(35 L) / 0.75 atm

V₂ = 47 L

Final Answer:

V₂ = 47 L

Answer:

Gravity (please mark me as the brainiest)

Explanation:

Gravity is a force caused by a large body, such as the Earth. Gravity pulls objects toward the Earth.

And give me a thanks, or vote

a) The period of the wood pendulum is T = 2 × π × √(I/0.179.81L).

b) The period of the metal pendulum is T = 2 × π × √(I/0.859.81L).

The period of a physical pendulum (also known as a compound pendulum) is given by the following equation:

T = 2pisqrt(I/mgL)

where T is the period of the pendulum, I is the moment of inertia of the pendulum, m is the mass of the pendulum, g is the acceleration due to gravity, and L is the distance from the pivot point to the center of mass of the pendulum.

For the wood pendulum:

T = 2 × π × √(I/0.179.81L)

For the metal pendulum:

T = 2 × π × √(I/0.859.81L)

We are given the masses and lengths of the pendulums, but we do not have the value of the moment of inertia. To find the moment of inertia, we need to know the shape and distribution of the mass of the pendulums. Without this information, it is not possible to calculate the periods of the pendulums.

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Part A) The International Space Station's orbital speed is approximately 7.66 km/s. Part B) The station's orbital period is approximately 90 minutes.

Part A) To determine the orbital speed of the International Space Station (ISS), we can use the concept of centripetal force. The gravitational force between the ISS and Earth provides the necessary centripetal force to keep the station in orbit. The centripetal force can be expressed as F = (m\(v^{2}\))/r, where m is the mass of the ISS, v is the orbital speed, and r is the distance between the center of Earth and the station.

By equating this force to the gravitational force F = (GmM)/\(r^{2}\), where G is the gravitational constant and M is the mass of Earth, we can solve for v. Rearranging the equation and plugging in the given values, we find that the ISS's orbital speed is approximately 7.66 km/s.

Part B) The orbital period of the ISS is the time it takes to complete one orbit around Earth. It can be calculated using the formula T = (2πr)/v, where r is the distance between the center of Earth and the station, and v is the orbital speed.

By substituting the given values, we can find that the ISS's orbital period is approximately 90 minutes.

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We can use the formula of the capacitance

where C is the capacitance, Q is the charge and V is the voltage.

In our case

Q=480 C

V= 110 V

The value of the capacitor is 4.36 F

ANSWER B) 4.36F

The Atwood machine has a 2 kg block on one side and 8 kg block on the other side.

Let us sketch a free-body diagram to better understand the problem.

Where F_tens is the tension in the string and F_grav is the force due to gravity.

The force due to gravity on the 2 kg block is given by

The force due to gravity on the 8 kg block is given by

According to Newton's second law of motion, we have

The net force acting on the 2 kg block is given by

The net force acting on the 8 kg block is given by

Now, we have two equations and two unknowns. Let us solve these two equations simultaneously

Substitute eq.1 into eq.2

So, the acceleration of the two blocks is 5.89 m/s^2

Substitute a = 5.89 into eq. 1 to find the tension in the string.

So, the tension of the string is 31.4 N

The answers are Part A: The acceleration of the centre of the hoop is a = μ * g and Part B: The minimum coefficient of static friction required is μ >= \(sin(\theta).\)

Part A: To determine the acceleration of the centre of the hoop, we can consider the forces acting on it. The gravitational force can be decomposed into two components: one parallel to the ramp and the other perpendicular to it. The component parallel to the ramp is responsible for accelerating the hoop down the incline. It can be calculated as m * g * sin(theta), where m is the mass of the hoop and theta is the angle of the ramp with the horizontal.

Since the hoop is rolling without slipping, the frictional force opposes the motion and prevents slipping. The frictional force can be expressed as the product of the coefficient of friction (μ) and the normal force. The normal force acting on the hoop is equal to the weight of the hoop, which is m * g. Therefore, the frictional force is μ * m * g.

Considering the torque equation for rolling motion, the torque due to the net force on the hoop must be equal to the product of the moment of inertia (I) and the angular acceleration (α). For a hoop, the moment of inertia is given by \(I = m * r^2\).

By equating the torque and the net force, we have:

\(\mu * m * g * r = m * r^2 * \alpha\)

Since the hoop rolls without slipping, the linear acceleration (a) of the center of the hoop is related to the angular acceleration as a = r * α.

Substituting this into the equation above, we have:

μ * g = r * α

Therefore, the acceleration of the center of the hoop is given by a = μ * g.

Part B: The minimum coefficient of static friction (μ) required for the hoop to roll without slipping can be determined by considering the limiting condition when slipping is about to occur. In this case, the maximum static frictional force (\(f_s\)) is equal to the product of the coefficient of static friction and the normal force.

The normal force acting on the hoop is equal to the weight of the hoop, which is m * g. Therefore, the maximum static frictional force is μ * m * g.

To prevent slipping, the maximum static frictional force must be greater than or equal to the component of the gravitational force parallel to the ramp, which is m * g * sin(theta).

Setting up the inequality, we have:

μ * m * g >= m * g * \(sin(\theta)\)

Canceling out the mass and gravity terms, we obtain:

μ >= \(sin(\theta)\)

Therefore, the minimum coefficient of static friction needed for the hoop to roll without slipping is equal to the sine of the angle of the ramp with the horizontal, μ >= \(sin(\theta).\)

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Answer:

2 m/s²

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 2 m/s

Final velocity (v) = 6 m/s

Time (t) = 2 s

Acceleration (a) =?

The acceleration of the person can be obtained as follow:

v = u + at

6 = 2 + (a×2)

6 = 2 + 2a

Collect like terms

6 – 2 = 2a

4 = 2a

Divide both side by 2

a = 4 / 2

a = 2 m/s²

Therefore, the acceleration of the person is 2 m/s²

Angle with the vertical will be made by the loosely hanging hand straps is 13 degrees.

A string attached to an object can also exert a force but only if the string is pulled taut, and only in the direction of the string. This force is called tension.

We usually make the approximation that the string is massless and unstretchable, so we don’t need to worry about it sagging in the middle or about its length changing, our strings which we consider in questions are also usually unbreakable.

The force transmitted through a string, rope, cable, or wire that is pulled tight. The rope pulls with a tension force on both objects.

For examples, A box hangs from the ceiling by a cable. The cable exerts an upward tension force on the box. A dog is pulled by a dog chain. The chain exerts a force upon the dog.

Given,

V=13km/h = 4.4 m/s

TsinФ = mv^2/R------(1)

TcosФ = mg-------(2)

Divide (1) by (2)

tanФ = v^2/Rg

Ф = tan ^-1(4.4*4.4)/8.50*9.80

Ф = 13 degrees.

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The gravitational potential energy is equal to 8.1 Newton times 0.42 meters is 3.402 joules.

Gravitational potential energy refers to the energy that an object has or obtains when its position changes as just a result of being surrounded by a gravitational field. An energy that is linked to gravitation or the gravitational field is known as gravitational potential energy.

The energy that any object stores as a result of its position is known as gravitational potential energy.

The gravitational Potential energy is = mgh

Where m= mass

g = gravitational acceleration

h= height

The height of bag uplift = 42cm =0.42 meters

Now we have the weight which is 8.1 N

Weight in Newton = mass × gravitational acceleration

So if we have weight, Potential energy is = w×h

Therefore, after 42 cm of uplift, the gravitational potential energy is equal to 8.1 Newton times 0.42 meters, or 3.402 joules.

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