Calculate the magnitude of the resultant moment exerted at O, for the configuration given in the Figure. The magnitude of F1 is F1=4N. Provide your answer in Newtons.meters (N.m).

Answer:

below

Explanation:

Potential Energy = mgh

  73.5 = 3 kg * 9.81 m/s^2 * h

     h = 2.5 m

when the book hits it will have the PE all converted to KE = 73.5 J

In a position-time graph, we plot the position of an object or a person against elapsed time. The person's position is the distance from the reference point. The shape of the graph shows the kind of motion.

A position-time graph is a type of graph used to represent the motion of an object over time. It plots the position of an object on the y-axis and the time elapsed on the x-axis. The position is usually represented as a distance from a reference point, such as the origin of a coordinate system.

The shape of the graph can provide insight into the nature of the object's motion. For example, a straight line on the position-time graph indicates that the object is moving at a constant velocity. A parabolic shape of the graph shows that the object is accelerating, and a curved line on the graph shows that the object is moving at a non-constant velocity.

It's a powerful tool to understand the motion of an object and its dynamics, it allows you to see the relationship between position, velocity and acceleration, and how they change over time.

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The number of revolutions the tire makes in 6 s is

N = (58π)/(12π) = 4.83 rev.

What is revolutions?

Revolutions min physics is the study of the physical aspects of revolutions, including the forces and motions that cause them, the structures and systems that are produced in their wake, and the physical processes that lead to their initiation and termination. It has roots in the study of revolutions in the social sciences, but has developed its own principles and techniques to study physical phenomena related to revolutions. These techniques include the use of mathematical models, experiments, numerical simulations, and computer visualizations.

The linear velocity of a point on the tire's circumference is given by

v = (dπ)/t

where d is the diameter of the tire and t is the time.

Substituting d = 58 cm and t = 6 s, the linear velocity of a point on the tire's circumference is

v = (58π)/6 m/s.

The number of revolutions the tire makes in 6 s is given by

N = (v/2π)

Substituting v = (58π)/6 m/s, the number of revolutions the tire makes in 6 s is

N = (58π)/(12π) = 4.83 rev.

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It will take approximately 8 years for a radioactive substance of mass 800g to have 8g undecayed.

The half-life of the radioactive substance in question is 4 years. The half-life of a radioactive substance is the amount of time it takes for half of the original amount of the substance to decay. In this case, after 4 years, half of the initial 800g of the radioactive substance will have decayed, leaving 400g remaining. This means that the decay rate of the radioactive substance is 50% per 4 years. The half-life is a constant for a specific radioactive substance and it does not change, this means that if we wait another 4 years, half of the remaining 400g will decay leaving only 200g, and so on.

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Explanation:

The distance to the epicenter (km) can be calculated using the equation:

Distance = (S-P arrival time (minutes) / P-wave velocity (km/s)) x (60 seconds/minute)

Using the information provided, the distance to the epicenter would be:

Distance = (8.08 - 8.07) / 5.8 x (60) = approximately 1300 km

It is given that the distance to epicenter is 1300km using the chart.

Answer:

no I can’t help you

Explanation:

I can’t help you because I don’t know the answer

Dams on rivers are thicker at the bottom than the top because the majority of the force exerted on the dam is from the weight of the water pushing down on it. The water exerts more pressure on the lower part of the dam than the upper part, so the bottom of the dam must be stronger and thicker to withstand this pressure. Additionally, the bottom of the dam is also more susceptible to erosion from the water flow, so it also needs to be thicker to resist erosion. The thicker bottom also helps to counterbalance the hydrostatic pressure and provide stability to the dam.

Dams on the rivers are thicker at the bottom than that of the top because of the pressure which is exerted by liquids increases with depth. The walls are made thicker at the bottom, so that they can handle the pressure exerted by water.

A dam is a barrier which stops or restricts the flow of surface water or underground streams on the planet. Reservoirs are created by dams not only to suppress floods but also to provide water for activities such as irrigation, human consumption, industrial use, aquaculture, and for the navigability.

Dams made on the rivers are generally thicker at the bottom than at the top because the pressure at a point inside a liquid depends on the depth from the free surface, therefore, the pressure is very high at the bottom of the dam. To tolerate this pressure, the walls of a dam are made thicker  at the bottom. As we move upwards in the river, the pressure goes on decreasing, so the thickness of wall is made smaller and smaller. That is why, the walls of a dam are made thinner at the bottom .

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Answer:

No, Newton's second law is not inaccurate in this scenario. The second law states that the acceleration of an object is directly proportional to the net force acting on it, and inversely proportional to its mass.

Explanation:

In this scenario, the basketball and the balloon are kicked with the same amount of force, but the basketball has a greater mass than the balloon. Therefore, the basketball will experience a greater acceleration than the balloon and will travel faster and further.

In addition, the air resistance is much greater on the balloon than on the basketball, the air resistance makes the balloon to slow down faster than the basketball, so the acceleration and the final speed of the basketball will be greater than the balloon.

In summary, Newton's second law is still accurate, but it is also necessary to take into account other factors such as air resistance, friction, and mass that can affect the motion of an object.

The work done in each case is;

a) 84.32 J done by the student.

b) 64.3 J done by gravity as described.

c)2.77 m/s is the final speed of the box.

We know that the work that is done is the product of the mass and the acceleration of the object. The work that is done by gravity would depend on the depend on the height of the object that is in question.

Now we know that;

a) Work done by the student = Force * distance

= 52.7 N * 1.60 m

= 84.32 J

b) Work done by gravity = mass * acceleration due to gravity * height

= 4.1 Kg * 9.8 m/s^2 * 1.6 m

= 64.3 J

c) The speed of the box;

64.3 J = 1/2mv^2

v = √2 * 64.3/4.1

v = 2.77 m/s

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The final velocity of the 25.8 g marble after the collision is 16.15 cm/s.

The velocity of the 25.8 g marble after the collision is calculated as follows;

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

The final velocity of the 25.8 g marble after the collision is calculated as;

( 25.8 x 21 ) + ( 12.4 x 13.8 ) = ( 12.4 x 23.9 ) + ( 25.8v )

712.92 = 296.36 + 25.8v

25.8v = 416.56

v = 416.56 / 25.8

v = 16.15 cm/s

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The student can conclude that in Experiment 1, the ball is following a parabolic path, demonstrated by the best-fit curve line. In Experiment 2, the ball is following a linear path, demonstrated by the best-fit curve line.

What is curve?
A curve is a line in a two-dimensional plane that is bent or curved. It is often used to describe the shape of objects or mathematical functions. It is often used to study changes in data over time and to understand the behavior of functions and equations. Curves can be described using a variety of mathematical equations and equations can be used to predict the behavior of a curve. Additionally, curves can be used to describe the motion of physical objects and to help visualize the relationships between the objects.

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Answer:

When wind flows across the blade, the air pressure on one side of the blade decreases. The difference in air pressure across the two sides of the blade creates both lift and drag. The force of the lift is stronger than the drag and this causes the rotor to spin.

Explanation:

Answer:

Explanation:(a) If a car traveling 22.0 ms stops uniformly in 1.20 m, how long does the collision last?(b) What is the magnitude of the average force on the car?(c) What is the magnitude of the acceleration of the car? Express the acceleration as a multiple of the acceleration of gravity.

Answer:

C

Explanation:

The system pressure will be equal to 70 pounds divided by the area of the small piston, which is 5.33 square inches. This gives a pressure of 13.13 psi (pounds per square inch).

Hydraulic machines work based on the principle of Pascal's Law, which states that the pressure exerted on a confined fluid is transmitted equally in all directions. This means that the pressure applied to one part of a confined fluid is transmitted throughout the entire fluid, regardless of the shape or size of the container. This principle is used in hydraulic machines to transfer force from one point to another by using a fluid, usually oil or water, in a closed system of pipes or cylinders.

The force applied to the small piston of a hydraulic machine is transmitted through the fluid, and it is amplified on the larger piston due to the difference in area between the two pistons. This allows a small force to be amplified into a much larger force, making the machine able to lift or move heavy loads with minimal effort.

This is the basic principle that makes hydraulic systems, such as car brakes, lift, cranes, excavators, and many other machines work.

Efficiency= mechanical advantage ÷velocity ratio

Efficiency= M.A/V.R

and M.A was not given

to calculate M.A= force of object (Fb)÷ effort to overcome the force (Fa)

i.e M.A= Fb/Fa

4500/105=42.9

Efficiency=M.A/V.R

=42.9/45

=0.95

The efficiency of the lever system is approximately 4285.71%. Efficiency greater than 100% is not physically possible, so there may be an error in the data provided, or the lever system might not be operating ideally.

To calculate the efficiency of the lever system, we can use the formula:

Efficiency = (Output force / Input force) * 100%

Given that the velocity ratio is 45, the output force (load) is 4500 N, and the input force (effort) is 105 N.

Efficiency = (4500 N / 105 N) * 100% ≈ 4285.71%

In real-world situations, factors like friction and other losses would contribute to the efficiency being less than 100%.

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Answer:

The object that accelerates faster and travels further is likely to have a smaller mass or a larger surface area.

A real-life example of this scenario could be a soccer ball and a bowling ball. Both are smooth, round objects of equal density, but the soccer ball has a smaller mass and larger surface area, which allows it to accelerate faster and travel further when kicked with the same amount of force.

When connecting asynchronous grids together or transferring significant amounts of electricity across long distances, high-voltage direct current (HVDC) is employed.

Order to be transported across great distances via high-voltage transmission power lines, a transformer at a power plant raises the voltage of generated power by thousands of volts. Transmission lines, often called conductor bundles, are used to transport electric electricity from power plants to far-off substations.

In an electric power system, transmission lines move electric energy from one location to another. They can transport direct current, alternating current, or a system that combines both. Also, overhead or subsurface wires can both carry electric current.

When opposed to alternating current transmission systems, high-voltage direct current (HVDC) technology has several benefits. For instance, it enables longer-distance bulk power transfer that is more effective.

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The correct description of X is that it is a neutron (option C).

A nuclear reaction is a process such as the fission of an atomic nucleus, or the fusion of one or more atomic nuclei and/or subatomic particles in which the number of protons and/or neutrons in a nucleus changes.

In a nuclear reaction, the reaction products may contain a different element or a different isotope of the same element.

Certain particles are emitted or reacted with in a nuclear reaction. Examples of those particles are neutron, alpha particle, electron.

A neutron is a subatomic particle forming part of the nucleus of an atom and having no charge. A neutron posseses a mass number of 1 and atomic number of 0.

According to this question, uranium with mass number 235 and atomic number 92 undergoes a nuclear reaction with a particle with mass number 1 and atomic number 0.

The particle represented by X in this reaction is a neutron.

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The average velocity of the particle between t = 2.0 s and t = 4.0 s is 4 m/2.0 s = 2.0 m/s.

Average velocity is the rate of change of an object's position, expressed as a vector quantity that tells both the speed and direction of the object's motion.

The average velocity of the particle between t = 2.0 s and t = 4.0 s can be calculated by taking the difference in the x-position of the particle at t = 4.0 s and t = 2.0 s, and dividing it by the difference in the time.
The x-position of the particle at t = 2.0 s is 4 m and the x-position of the particle at t = 4.0 s is 8 m.
Therefore, the difference in the x-position is 8 m - 4 m = 4 m.
The difference in time is 4.0 s - 2.0 s = 2.0 s. Therefore, the average velocity of the particle between t = 2.0 s and t = 4.0 s is 4 m/2.0 s = 2.0 m/s.

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After the fish is speared, it will be moving through the water at a velocity of 9.3 m/s.

The conservation of momentum principle states that the total momentum of a system remains constant if no external forces act on it.

Before the spear is fired, the total momentum of the system is zero (Charlotte and her spear gun are at rest). After the spear is fired, the total momentum of the system is given by the momentum of the spear (2 kg * 20 m/s = 40 kg m/s)

After the fish is speared, the total momentum of the system will be the sum of the momentum of the spear and the fish. The momentum of the fish is (12 kg * 6 m/s = 72 kg m/s). Therefore the total momentum of the system is (40 kg m/s + 72 kg m/s = 112 kg m/s)

Since the total momentum of the system remains constant, we can use the conservation of momentum principle to find the final velocity of the fish.

The final velocity of the fish is (total momentum of the system / mass of the fish) = (112 kg m/s / 12 kg) = 9.3 m/s

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According to the question of forces, the resultant a will be 28N.

What is resultant?
Resultant is a term that is used to describe the combined effect of two or more forces acting on an object. It is the vector sum of the individual forces. Resultant force is the single force that replaces the action of several forces acting on a body. Calculating the resultant force of multiple forces can be done by using the components of the forces in the x and y directions, then using basic vector addition to calculate the resultant force. The resultant force is the combination of the individual forces and the magnitude and direction of the resultant force is determined by the direction and magnitude of the individual forces.

The resultant force of the two forces is equal to the square root of the sum of the squares of the magnitudes of the two forces.

Therefore, the resultant force is equal to √(12^2 + 24^2) = 28 N.

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Answer:

below

Explanation:

You will need this equation:

F = G m1 m2 / r^2     G = gravitational constant = 6.6743 x10^-11 m^3/(kg s^2)

Plugging in the values

     6.6743 x 10^-11   *   3.3 * 3.3 / ( .33^2) = 6.67 x 10 ^-9 N

The resultant is the sum of the two displacements having the same direction as the original vectors.

A displacement is described as a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion.

Vectors in the same direction can be simply added to obtain the resultant vector.

We can describe vector as  a term that refers colloquially to some quantities that cannot be expressed by a single number, or to elements of some vector spaces.

In conclusion, If we want to sum two vectors that are collinear and have the same sense, we can make that adding such as an algebraic sum.

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The resultant is the sum of the two displacements having the same direction as the original vectors. Option A

We know that there are generally two kinds of variables that we can be able to have in Physics, we have the scalars and the vectors. In the vectors we have the quantities that have both magnitude and direction while in the scalars we have the quantities that have only magnitude.

We know that when two vectors do have the same direction, we can be able to obtain the resultant vector by addition of the vectors together.

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To find out how long it takes for the equipment to reach the lighthouse top, we can use the work-energy principle which states that the work done on an object is equal to the change in its kinetic energy. Since the velocity is constant, the change in kinetic energy is zero.

Therefore, the work done on the object is equal to the force required to lift it multiplied by the distance it is lifted. We can use the formula:

Work = force x distance

We know that the work done is equal to the power multiplied by the time, so we can use this formula as well:

Work = Power x time

We can use these two formulas to find the time it takes to raise the equipment to the lighthouse top:

force = mg = (14.0 kg)(9.8 m/s^2) = 137.2 N

distance = 106 m

Work = force x distance = 137.2 N x 106 m = 14,532.8 J

Power = 3.00 x 10^2 W

We can now substitute these values into the second formula:

Work = Power x time

14,532.8 J = 3.00 x 10^2 W x time

time = Work / Power = (14,532.8 J) / (3.00 x 10^2 W) = 484.4 seconds

So, it takes the equipment approximately 484.4 seconds (8 minutes and 4.4 seconds) to reach the lighthouse top.

I hope this helps :)

Given,

W = 300N

S = 20 m

Work = force x Displacement.

= 300 x 20

= 6000 Joules.

P.S

Many people get fonfused as to why i took the goven weight as the force. Its because weight is also a force exerted by objects on earth.

ALL THE BEST

Formula for work:

[tex]w=Fd[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

__________________________________________________________

Given:

[tex]F=300N[/tex]

[tex]d=20m[/tex]

[tex]w=?[/tex]

__________________________________________________________

Finding work:

[tex]w=Fd[/tex]

[tex]w=300\times20[/tex]

__________________________________________________________

Answer:

[tex]\fbox{w = 6000 Joules}[/tex]

Answer:

A. 1

B. n

C. 0

Explanation:

The numbers to the right of the symbols represent the [tex]\frac{mass\ number}{atomic\ number}[/tex].  Recall that the mass number is the sum of the number of neutrons and the number of protons in an atom's nucleus.  The atomic number is the number of protons in an atom's nucleus.  For this equation to be true, both sides must agree on the total number of subatomic particles.  So, for the mass number:

[tex](1+235)=(99+133+4A)\\236=232+4A\\4=4A\\1=A[/tex]

This means the sum of the protons and neutrons in the particle is 1.

For the atomic number:

[tex](0+92)=(41+51+4C)\\92=92+4C\\0=4C\\0=C[/tex]

This means there are 0 protons in the particle.

The two derived values indicate that the particle is a lone neutron.  So, the answer to B is n.

a.  The force on the +3.0 mC charge is 1.35 x 10^-6 N.

b.   The electric field at (x, y) = (1.00 m, 0.50 m) is  5.49 x 10^5 N/C

c. The point where the bc is zero (other than at infinity) is located on the line that connects the two charges and at the midpoint of the line segment connecting them.

d.  The potential at the point found in part c is at point zero

An electric field is described as the physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them.

a.  we need to use Coulomb's law, which states that the force between two charges is given by:

F = k * (q1 * q2) / r^2

F = k * (q1 * q2) / r^2 = 8.99 x 10^9 Nm^2/C^2 * (1.0 x 10^-3 C * 3.0 x 10^-3 C) / (2.0 m)^2 = 1.35 x 10^-6 N

b. To calculate the electric field at (x, y) = (1.00 m, 0.50 m), we use the equation for the electric field due to a point charge:

E = k * q / r^2

The distance from the point charge is:

r = sqrt((1.00 m - 2.0 m)^2 + (0.50 m - 0 m)^2) = sqrt(3.25 m^2) = 1.8 m

Therefore, the electric field at (x, y) = (1.00 m, 0.50 m) is:

E = k * q / r^2 = 8.99 x 10^9 Nm^2/C^2 * (3.0 x 10^-3 C) / (1.8 m)^2 = 5.49 x 10^5 N/C

c. This point is located on the line that connects the two charges and at the midpoint of the line segment connecting them.

d.  At the point found in c, the electric field is zero, so the work done to move a test charge from infinity to that point is also zero.

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