A 3.0 kg object is moving in a circular path with a speed of 4.5 meters per second. If the radius of the circle is 0.25 meters, what is the force acting on the object?

Answer:

Below

Explanation:

Basic equation

V = IR

 solve for I

V / R = I

240 / 12 = 20 amps

Answer:

[tex]\huge\boxed{\sf S = 2.25\ m}[/tex]

Explanation:

Speed = v = 1.5 m/s

Time = 1.5 s

Distance = S = ?

S = vt

S = (1.5)(1.5)

[tex]\rule[225]{225}{2}[/tex]

The solution indicates that the rope's tension is 200 N this is because of  the static equilibrium.

Dynamic equilibrium is a state in which bodies are moving at a constant speed, as opposed to static equilibrium, which is a state in which bodies are at rest (rectilinear motion). The total amount of forces acting on them is 0 in both situations.

the total of all external forces that affect the body, where m is its mass and is the linear acceleration of its centre of mass   The constant acceleration is zero when everything is in balance.

F is the force with which Joe pulls (200 N)

F′ is the force with which Bill holds on to the rope

T is the tension of the rope to the right

T′ is the tension of the rope to the left

The system created by Joe, the rope, as well as Bill is said to be in static equilibrium if it does not move, in which case both velocity of the object are zero.

Let's say we cut the rope in an idealized manner to demonstrate the tensions and internal forces.

Applying the idea of the horizontal forces' sum being equal to zero, which is the first requirement of static equilibrium with respect to the X-axis.

∑Fx = 0

T - F = 0

T = F

= 200 N

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A sloped line on a distance-time graph denotes motion of the item. In a graph of a distance versus time, the line's gradient or slope equals the object's speed. The steeper the line, the faster the thing moves (and the greater the gradient).

If an object's speed changes, it will either be accelerating or decelerating. On a distance-time graph, this can be represented as a curved line. if an object is speeding up or slowing down.

The distance-time graph is a straight line when a body's motion is uniform. The speed of the body is equal to the slope of the distance-time graph.

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Answer:

a 'Law'

Explanation:

Newton's laws of motion

Charles' Law      etc

The term "law"  is used to describe how things behave and is usually expressed in mathematical terms.

Scientific laws or laws of science are propositions that describe or forecast a variety of natural occurrences and are based on repeated tests or observations.

All branches of natural science use the word "law" in a variety of contexts (approximate, accurate, broad, or narrow) (physics, chemistry, astronomy, geoscience, biology). All laws are directly or indirectly dependent on empirical facts, and they are developed from data and can be further developed through mathematics.

It is generally accepted that they are discovered rather than invented and implicitly represent causal links that are fundamental to reality even though they do not expressly declare them.

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The force depicted by the leftward arrow will be the force of friction.

Friction is a force that opposes relative motion between surfaces in contact.

If two surfaces are in contact and moving relative to one another, then the friction between them is called kinetic friction. When objects are stationary, static friction can act between them; the static friction is usually greater than the kinetic friction between the surfaces.

When a book is pushed to the right across a desk at constant speed, the force of friction will act in the opposite direction to try and stop the opposition of the motion of the book.

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You add information on the x-axis to represent a scale of values for the total electric vehicle sales and on the y-axis to represent the time periods (2015 and 2020). (False)

What does data analytics "spotlighting" mean?

A technique for displaying discrete thresholds based on the values of a metric is spotlighting. Consider color-coding sales so that those over 10,000 appear in green and those below 10,000 appear in red. A spotlighting calculation is merely another word for a computation that produces a discrete measure.

Keep in mind that the x-axis is one of the axes of a two- or three-dimensional graph. In a graph using a cartesian coordinate system, the x-axis is the horizontal plane that gives each point along the x-axis and y-axis a numerical value.

As a result, using spotlighting, you can quickly identify the most important insights by skimming over the data in light of the aforementioned query. Data analysts can recognize broad, general concepts and messages by using spotlighting.

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Answer:

51,834.1 Newtons.

Explanation:

To find the force required to accelerate an object, you can use the formula force = mass x acceleration. In this case, the force required to accelerate a 15 passenger van weighing 1955 kg at a rate of 26.82 m/s^2 would be 51,834.1 Newtons.

Answer:

294 Joules

Explanation:

Use the Potential Energy Formula and plug in the numbers to be 2kg(mass)*15 meters (height above ground)* 9.8(gravitational acceleration of the earth) = 294 Joules

Warning signs are fire fighters in most jurisdictions alerted of the high pressure.

By taking away heat or oxygen or by interfering with chemical reactions, suppression agents put out fires. When the system is turned on, the agent moves from the cylinder to the safe area either directly through the detection tube or via hoses and nozzles that are connected to it.

The Most Popular Styles of Fire Suppression Equipment

Systems for putting out fires that use water. Chemical Foam Suppression Systems, Pneumatic Heat Detection Tubes, Pressurized Gas Systems, Foam Deluge Systems, and Water Extinguishing Systems are some of the most popular fire protection systems.

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The maximum speed of her brother as he swings is 5.04777 m/s.

Calculation:

conservation of energy

ΔPE = ΔKE

= mg (h₁-h₂) = 1/2= mv²

= v = √2g (h₁-h₂)

= V = √2x9·8 (0.34 - 1.08)

Vmax =  5.04777 m/s

Forces are influences that can change the movement of an object. A force can cause a mass to accelerate, thus changing its velocity. Forces can also be described intuitively by pushing or pulling. The word "force" has a precise meaning.

At this level, it is appropriate to describe the force as pushing or pulling. A force does not contain or have within an object. A force is applied from one object to another. The idea of ​​force is not limited to animate or inanimate objects.

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The maximum speed of her brother as he swings (her brother sits passively in the swing.) is 1.14 m/s

The gravitational potential energy of the brother increases as he is lifted to a higher height. This increase in gravitational potential energy is converted to kinetic energy (the energy of motion) as the brother swings back down and gains speed. The maximum speed will be reached when all of the gravitational potential energy has been converted to kinetic energy.

The change in gravitational potential energy can be calculated using the formula:

ΔE = mgh

where m is the mass of the brother, g is the acceleration due to gravity (9.8 m/s^2), and h is the change in height.

Plugging in the values, we get:

ΔE = mgh = (50 kg)(9.8 m/s^2)(1.08 m - 0.34 m) = 330.8 kg*m^2/s^2

The maximum kinetic energy of the brother can be calculated using the formula:

E = 1/2 * m * v^2

where m is the mass of the brother, and v is the velocity (speed).

To find the maximum speed, we set the kinetic energy equal to the change in gravitational potential energy and solve for v:

E = 330.8 kgm^2/s^2 = 1/2 * (50 kg) * v^2

v = √(2E/m)

= √(2(330.8 kgm^2/s^2)/(50 kg))

= √(66.16/50)

= √(1.3232)

= 1.14 m/s

Thus, the maximum speed of the brother as he swings is approximately 1.14 m/s.

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The moment of the force of 50 N is 0.375 Nm.

Moment of a force is the product of force and the perpendicular distance.

To caluclate the moment of the force, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the moment of the force is 0.375 Nm.

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The coefficient of dynamic friction between the box and the slope be 0.404.

The resistance provided by surfaces in touch as they move past one another is known as friction.

To walk without slipping, traction is provided by friction. In most situations, friction is advantageous. They do, however, give a strong amount of opposition to the move. Additionally, around 20% of an automobile's engine power is used to overcome frictional forces in the moving parts.

In this question: A box slides down a slope at an angle of 21° to the horizontal.

If the mass of the box be m and coefficient of friction be μ,

The gravitational acceleration force acting along the moving be:

F = mgcos22°.

The frictional resisting force acting against the moving be:

f = μmgsin22°.

As the box is moving with constant velocity;

F = f

⇒μ = tan22° = 0.404

So, the coefficient of dynamic friction be 0.404.

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Answer:A

Explanation:i got it right

The minimum distance required by the car to stop a 62.5 m.

The mass of the car is given to be 1000 kg and it is travelling at a speed of 20 the brakes are applied by the car that is producing force of 5000 Newton.

Firstly the negative acceleration produced in the car will be,

F = Ma

M is the mass of the car,

F is the force appoint by the brakes and,

a is the negative acceleration.

Putting values,

5000 = 1000(a)

a = 5m/s².

So, the negative acceleration produced by the brakes is 5m/s².

The minimum distance required by the car to stop will be given by other relation,

D = U²/2a

Where, U is the initial speed of the car,

Putting values,

D = 25×25/2×5

D = 62.5m.

So, the stopping distance of the car will be 62.5 m.

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Answer:

The reason why the Milky Way is not expanding together with the rest of the universe is because local gravity dominates over the expansion of the universe. (The expansion of the universe is a relatively weak force acting throughout the universe).

Explanation:

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

For finding angular velocity, we need angular displacement Ф or angular acceleration α. In this question, the information provided is only time elapsed. So, with a given input, angular velocity can't be calculated.

Angular velocity is a measure of rotational rate. This gives how fast an object is moving about an axis. It is represented by the symbol ω (omega). It is a measure of angular displacement per unit of time.

Angular velocity = Angular displacement/time

ω = Ф /t

Angular displacement is the angle made during rotation per unit of time. Angle is measured in radians.

There is a relation between angular velocity and linear velocity.

v = r. ω

means. linear velocity = radius × angular velocity

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To calculate the distance from the earthquake to the station, divide the arrival times of the P and S waves. Calculate the separation between the initial P and initial S waves. The first P and S waves in this instance are separated by 24 seconds.

The beginning of the earthquake's rupture is where the epicenter of a hypothetical earthquake is situated. The epicenter is the location that is directly above the Earth's surface.

The focal point is the location where an earthquake begins within the crust of the Earth. The epicenter is a location on the surface of the Earth that is directly above the focus.

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An accelerator laboratory is considering using a solid-state detector as part of a high-energy experiment, it converts part of the particles energy directly into electric current this would be an advantage of using a solid-state detector.

Radiation detectors that use a semiconductor material as the detecting medium are known as solid-state semiconductor detectors. When these detectors come into contact with ionising radiation, they generate a pulse of electric current using pairs of charge carriers, electrons and holes.

It converts part of the particles energy directly into electric current, this would be an advantage of using a solid-state detector.

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a. The spring constant of the spring be 40 N/m.

b. To stretch it by 1.5 m, required force be 60 N.

In accordance with Hooke's law, a principle of elasticity, for relatively minor deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load When the load is removed under these circumstances, the object resumes its original size and shape.

According to Hooke's rule, solids behave elastically when their constituent molecules, atoms, or ions move slightly from their normal places. This movement is proportional to the force that caused it.

a. The spring constant of the spring be: k = 20 N/0.5m = 40 N/m.

b. To stretch it by 1.5 m,  required force = 40×1.5 N = 60 N.

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Answer: 4.217 x 10^5 km

Volume occupied by hydrogen gas is ≅ 2.0 × 10⁵ m³.

What is an ideal gas law?

An equation of state that characterizes perfect gases is called the ideal gas law. When explaining how gases will behave under ideal circumstances, this equation of state, which links a gas's pressure, volume, temperature, and mass, is highly helpful. For gases, this is the most typical equation of state.

Given,

Mass of hydrogen, m = 18000 kg

Pressure, P = 1 atm

Temperature, T = 0°c.

Using Ideal gas law, PV = mRT

Where, R = gas constant (R= 4124.4 J/kg-K)

Putting values in the equation

PV = mRT

V = [tex]\frac{mRT}{P}[/tex]

= [tex]\frac{18000kg X 4124.4 J/Kg - K X(0+273) K}{1 atm X 101325 Pa/atm}[/tex]

= [tex]\frac{18000 kg X 4124.4 \frac{N.m}{kg.K}X (0+273) K }{101325 \frac{N}{m^{2} } }[/tex]

= 200022.715 m²

≅ 2.0 × 10⁵ m³.

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Answer:  3.0 m/s

Explanation:

Conservation of momentum:  total momentum before collision = total momentum after collision

momentum = p = mv

(0.440 kg)(3.70 m/s) + (0.220 kg)(0.0 m/s) = (0.440 kg)(1.23 m/s) + (0.220 kg)(x)

Solve for x, speed of the 0.220 kg ball after the collision:

1.628 + 0 = 0.54x

x = 1.628/.54 = 3.0 m/s

The volume of a material is directly related to its temperature in that thermal expansion occurs with an increase in temperature while thermal contraction occurs with a decrease in temperature.

The effect of heat, when applied to a substance, is that it may result in thermal expansion or thermal contraction when heat is removed

Thermal expansion refers to the increase in the size of a material when heat is applied to the substance resulting in temperature increase. Thermal expansion may be an increase in volume, area, or length.

Thermal contraction refers to the decrease in the size of a material when heat is removed from the substance. Thermal expansion may be a decrease in volume, area, or length.

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Take the case where you have additional opposite unit charges. The potential energy of such a system with respect to infinity decreases as they are moved apart further and further.

Potential energy is a type of stored energy that depends on the relative locations of various system components. A spring's potential energy increases when it is stretched or compressed. When a steel ball is lifted above the earth's surface as opposed to being brought to it, it has far higher potential energy.

Stones poised on an edge of the cliff contain potential energy. If the stones fall, the stored energy will become kinetic energy. Branches high on the tree have had the potential to fall, which provides them life. The food we consume contains chemical potential energy.

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Answer:

The second student with mass 70kg has more momentum

Explanation:

Using the formula:

p = m × v

Where;

p = momentum (kgm/s)

m = mass (kg)

v = velocity (m/s)

According to this question, two students are running in a cross country race.

Student 1 has the following; m = 60kg, v = 7m/s

Student 2 has the following; m = 70kg, v = 7m/s

Using p = mv

Student 1, p = 60 × 7 = 420 kgm/s

Student 2, p = 70 × 7 = 490 kgm/s

From the result of the above calculations, student 2 with mass 70kg has more momentum.

Answer:

.8163 kg

Explanation: W=mg

The newtons = weight

Force due to gravity= 9.8m/s ^2

8N=m(9.8m/s^2)

M= .8163 kg

Option (a) is Correct. Take a look at a static electric field around a conductor at rest. then the conductor's internal electric field is exactly zero.

Electrons are free to move in a conductor. If they are subjected to a force, they will move faster in that direction. A force F = -eE acts on each free electron when a conductor is exposed to an external electric field. Electrons gain speed and accelerate in the direction that is the opposite of the field. There are no closed loops formed by electric field lines.

Because electric field lines begin with positive charge and conclude with negative charge, the assertion is accurate. A loop can never be closed since the starting and ending points of the electric field lines are different. Charges that are free to move are present in conductors. Charges in a conductor react swiftly to attain a constant state known as electrostatic equilibrium when an excess of charge is applied to the conductor or the conductor is placed in a static electric field.

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Correct Question:

Consider a conductor at rest in a static electric field. Which statement is true about how the conductor interacts with the electric field?

A. The electric field inside the conductor is exactly zero.

B. Any net charge on the conductor is distributed evenly throughout the volume of the conductor.

C. The electric field is parallel to the surface of the conductor at all points along its surface.

D. The electric field lines pass through the conductor unaffected by its presence.

The amplitude of sound refers to the sound’s volume or loudness.

A sound wave's amplitude measures the height of the wave. When a sound is made, the maximum displacement of the medium's vibrating particles from their mean position determines the amplitude of the sound wave. It is the separation between the wave's crest or trough and its mean location.

The relationship between loudness and sound amplitude is straightforward. A sound wave's amplitude determines how loud it will be; the larger the amplitude, the louder the sound. The sound will be weak if the amplitude is minimal.

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