Determine the force acting downwards on a mass of 1500 g suspended on a string. (14. 72 N)​

Answer:

Explanation:

\( \sf{Potential Energy ( P.E ) \: = \: 20.8 \: joule}\)

\( \sf{distance \: = 27.6 \: metre}\)

\( \sf{mass = }\) ?

\( \sf{acceleration \: due \: to \: gravity = 9.68 \: {metre \: per \: second}^{2} }\)

Now, let's find the mass:

\( \sf{PE \: = mass \times gravity \: \times \: distance}\)

plug the values

⇒\( \sf{20.8 = m \times 9.8 \times 27.6}\)

Multiply the numbers

⇒\( \sf{20.8 = 270.48 \: m}\)

Swap the sides of the equation

⇒\( \sf{270.48m = 20.8}\)

Divide both sides of the equation by 270.48

⇒\( \sf{ \frac{270.48m}{270.48} = \frac{20.8}{270.48} }\)

Calculate

⇒\( \sf{0.0769}\) kg

Hope I helped!

Best regards!!

Answer:

\(\huge \boxed{\mathrm{0.0769 \ kg}}\)

Explanation:

\(\displaystyle \sf Mass=\frac{Potential \ energy}{Acceleration \ of \ gravity \times Height}\)

\(\displaystyle m=\frac{PE}{gh}\)

\(\mathrm{We \ need \ to \ find \ the \ mass.}\)

\(\displaystyle m=\frac{20.8}{9.8 \times 27.6}\)

\(m= 0.0769\)

a) On a wet basis, the molar composition of the gas is approximately 0.813 mol propane, 0.055 mol n-butane, and 0.132 mol water. The ratio of mol H₂O to mol dry gas is 0.162 mol H₂O/mol dry gas.

b) The required air feed rate is approximately 65.9 kmol/h. If the combustion were only 65% complete, the required air feed rate would increase to approximately 101.4 kmol/h.

a) To calculate the molar composition on a wet basis, we convert the weight percentages to mole fractions using the molar masses of propane, n-butane, and water. The molar composition is determined by dividing the weight percentage by the respective molar mass and normalizing the values to sum up to 1. The ratio of mol H₂O to mol dry gas is determined by dividing the mol water by the sum of mols of propane and n-butane.

b) To calculate the required air feed rate, we use the stoichiometry of the combustion reaction between butane and air. The balanced equation shows that 1 mol of butane reacts with 13.5 mol of air. Considering the 25% excess air requirement, we multiply the stoichiometric air requirement by 1.25. If the combustion is only 65% complete, the remaining butane requires additional air to achieve complete combustion. Therefore, the required air feed rate increases to account for the unreacted butane.

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Answer:

here you go. My dad is a docter

Explanation:

DNA fingerprinting is a laboratory technique used to establish a link between biological evidence and a suspect in a criminal investigation. A DNA sample taken from a crime scene is compared with a DNA sample from a suspect. ... DNA fingerprinting is also used to establish paternity.

the bar in this scenario is subject to multiple forces that generate torques, with the constraint force at its left end being the primary factor that determines its motion and behavior.

The bar in this scenario is subject to multiple forces that generate torques. One of these forces is the constraint force that keeps the bar fixed at its left end. The other two forces exerted on the bar are causing it to rotate and generate torques. The force with a magnitude of 17 N and the angle of 22° creates a torque that is perpendicular to the plane of the bar and contributes to its rotational motion. Similarly, the force with a magnitude of 37 N also generates a torque that contributes to the overall rotational motion of the bar.
It is important to note that the forces acting on the bar are subject to constraints. The bar is constrained to rotate around its left end, which limits the motion and behavior of the forces exerted on it. The length of the bar and the angles of the forces also play a role in determining the magnitude and direction of the torques generated.

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Answer:

60m/s

Explanation:

momentum = Mass × Velocity

Initial Momentum = 12 × 10

= 120

Final Momentum = 12×15

=180

Change in Momentum = 180 - 120

= 60m/s

Answer:

Explanation:

formula for change in momentum = F =∆p/∆t

F∆t = ∆p

∆p = m(v - Vo)

∆p = 12(15-10)

=12(5)= 60

Answer:

I need help on this

Explanation:

Answer:

2*F

Explanation:

If we put an object of a given size exactly at a distance 2*F from the lens, the virtual image (the image generated by the lens) will be generated at a distance 2*F from the lens and the size will be equal to the size of the real object (but the image will be inverted)

Now let's do the math.

The relation between the distance of the object to the lens O, and the distance between the image and the lens I is:

1/O + 1/I = 1/F

solving for O, we get:

1/O = 1/F - 1/I = (I - F)/(F*I)

O = F*I/(I - F)

Such that the relation between the height of the original object, H and the height of the virtual image H' is:

H/H' =  -I/O

Replacing by O we get:

H/H' = -I/(F*I/(I - F))

If the sizes are equal, then H/H' = - 1  (remember that the image is inverted, thus the sign)

-1 = -I/(F*I/(I - F))

F*I/(I - F) = I

F*I = (I - F)*I

F = (I - F)

F + F = I = 2*F

The distance between the image and the lens is 2*F

O =  F*I/(I - F) = F*2*F/(2*F - F) =  2*F

The object is at a distance 2*F from the lens.

The term energy density tells us that the difference between the particle model and the energy interaction model lies in how the energy is distributed or spread out within a system.What is Energy Density?The amount of energy per unit volume that a substance or system contains is known as energy density.

Energy density is a measure of how much energy is stored in a given volume or mass of a substance or system. It is a vital physical property that affects how a system behaves and how much energy can be extracted from it.Particle Model Vs. Energy Interaction Model The particle model of matter refers to the view of matter as being composed of tiny, indivisible particles that are in constant motion and have kinetic energy. In this model, the behavior of matter is primarily determined by the interactions between these particles.The energy interaction model, on the other hand, views matter as being composed of different forms of energy that can be transferred or transformed from one form to another.

In this model, the behavior of matter is primarily determined by the interactions between different forms of energy.The primary difference between these two models lies in how they distribute or spread out energy within a system. In the particle model, energy is primarily distributed among the particles, while in the energy interaction model, energy is primarily distributed among the different forms of energy that are present in the system. This difference in energy distribution can have significant implications for how a system behaves and how much energy can be extracted from it.

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Kieran had a greater average speed than Jevon. Let us go into more detail in the explanation below. To compare the average speeds of Kieran and Jevon, we need to find out the speed of each person.

We can use the formula speed = distance/time. Kieran ran 8 laps in 18 minutes, which means he ran 8/18 = 0.44 laps per minute. To find out Kieran's speed, we need to multiply this by the length of one lap. If we assume that the length of one lap is 400 meters, then Kieran's speed is:0.44 laps per minute × 400 meters per lap = 176 meters per minute Jevon ran 6 laps of the track, but we don't know how long it took him.

Therefore, we can't calculate his speed directly. However, we can still compare his speed to Kieran's by using ratios. If we assume that Jevon ran the same length of track as Kieran, then we can write the following equation: Kieran's speed/Jevon's speed = Jevon's time/Kieran's time.

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Answer:

Active listening is a technique that is used in counseling, training, and solving disputes or conflicts. It requires that the listener fully concentrate, understand, respond and then remember what is being said. This is opposed to other listening techniques like reflective listening and empathic listening.

Explanation:

Answer:

The length of line is 78 cm or 0.78 m.

Explanation:

initial reading 2 mark

final reading 80 cm

The length of the line

= final reading - initial reading

= 80 - 2

= 78 cm

1 cm = 0.01  m

So, 78 cm = 0.78 m

Answer:

B. A well-tested explanation for a widely accepted hypothesis

Explanation:

This is true about a scientific theory going by the fact of it being a well tested explanation. For example, in one of the Newtons law of motion which he stated to be "To every action, there is equal and opposite reaction", the hypothesis has been known till he was able to offer a well tested explanations with calculations showing that, it was actually true.

50J work will do to lift it the same distance

How much energy is wasted during a fall?

When an object is falling freely, its velocity rises because of the acceleration caused by gravity. In the instance of a body that is falling freely, the kinetic energy thus rises while the potential energy falls as the height of the object decreases.

When an object is descending at its terminal velocity, the force of gravity and air resistance are equal, and the object no longer accelerates. The amount of labor done is equal to the sum of the object's displacement and the gravitational force. The modification of the object's potential energy brought on by gravity can also be used to calculate it.

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To find the number of antinodes in the standing wave pattern, we need to find the wavelength of the fifth harmonic. The fifth harmonic has a frequency of 5 times the fundamental frequency, and the fundamental frequency is equal to the speed of sound divided by the length of the pipe. Thus, the wavelength of the fifth harmonic is the speed of sound divided by 5 times the fundamental frequency, which is equal to 340 m/s / (5 * (340 m/s / 1.5 m)) = 0.3 m.

Since the length of the pipe is 1.5 m, and the wavelength is 0.3 m, there will be 1.5 m / 0.3 m = 5 full wavelengths in the pipe. Since there is an antinode at both ends of the pipe, there will be a total of 5 + 2 = 7 antinodes in the standing wave pattern. Therefore, the correct answer is (C) 7.

Answer:

Explanation:

Seatbelts are essential in a car because they serve to hold the vehicle's passengers firmly in their seats during a collision. This reduces the danger of serious injury or death by protecting people from being flung from the vehicle or colliding with hard objects inside the vehicle.

In addition to wearing seatbelts, the following steps can be done to lessen the severity of an accident:

1. Airbags: In modern automobiles, airbags release following a collision to absorb the impact and prevent the occupants from hitting hard objects within the vehicle.

2. Kid safety seats: Children should be properly strapped in a child safety seat that is age and size appropriate.

3. Headrests: Properly positioned headrests can help lessen the risk of whiplash injuries in the event of an accident.

4. Avoiding distractions: One of the primary causes of accidents is distracted driving. Avoiding distractions while driving, such as using a mobile phone, eating, or applying make-up, can assist to lower the chance of an accident.

5. Regular car maintenance, such as regular servicing, tyre pressure checks, and brake checks, may assist to ensure that the vehicle is in excellent condition and lower the danger of an accident.

6. Avoiding aggressive driving: Speeding, tailgating, and making rapid lane changes all raise the chance of an accident.

7. Following traffic rules, such as respecting speed limits, traffic signs, and signals, as well as maintaining a safe distance from other cars, can assist to lessen the likelihood of an accident.

The True, each of the link's AB and CD is made of steel liquid and has a uniform rectangular cross section.  

The problem states that both link's AB and CD are made of steel liquid which indicates that they have the same material composition. Additionally, the problem specifies that both links have a uniform cross section. This means that the shape and dimensions of the cross-sectional area are consistent throughout the entire length of each link. The term "rectangular" is used to describe the shape of the cross section, suggesting that each link has a straight-edged, four-sided shape with right angles at each corner. In conclusion, based on the information provided, it can be determined that each of the link's AB and CD is made of steel and has a uniform rectangular cross section.

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Newton's law of gravitation says that the magnitude f of the force exerted by is f = Gmm/r² and acceleration due to gravity Gm/r².

A force is an effect that can alter an object's motion according to physics. 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. A force is a vector quantity since it has both magnitude and direction.

The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.

f = Gmm/r²

Newton's law of gravitation says that the magnitude f of the force exerted by is f = Gmm/r² and acceleration due to gravity Gm/r².

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Answer:

d. 0.48

Explanation:

The acceleration of the elevator at this time was 2m/s² and the elevator was accelerating the upward direction.

The mass of the child standing on a spring scale in an elevator is 30 kg the elevator is showing a reading of 360 Newtons.

The reading note by the elevator is given by radiation,

W = M(g+a)

Where w is the reading of the spring scale,

M is the mass of the child,

g is the gravitational acceleration which is given to be 10m/s² and a is the acceleration of the elevator.

Putting values,

360 = 30(10+a)

12 = 10+a

a = 2m/s²

As you can see from the above result that the acceleration of the lift is 2m/s² and because it is positive it means that the elevator is accelerating in the upward direction.

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Answer:

A) The sum of the kinetic energy and the gravitational potential energy changes by an amount equal to the energy dissipated by friction,

Explanation:

The sum of the kinetic energy and the gravitational potential energy changes by an amount equal to the energy dissipated by friction.

The principle of conservation of energy states that, the total mechanical energy of an isolated system is always conserved.

When a sled slides down a hill with friction between the sled and hill but negligible air resistance.

The sum of the kinetic energy and the gravitational potential energy changes by an amount equal to the energy dissipated by friction.

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The electrical component that is used for detecting light levels in digital cameras is the light meter.

A light meter is a device used to measure the amount of light. In photography industry, a light meter is used to determine the proper exposure for a photograph.

A digital camera is a camera that captures photographs in digital memory.

Most digital cameras can be grouped into four main types which includes:

Each type of these digital cameras has advantages and disadvantages, and some the types are more expensive than their counterparts.

There are two different kinds of light meters which are:

-An incident light meter measures all the light falling onto a subject. Incident light meters help a camera focus on a subject regardless of how light or dark the surrounding background is.

- Reflective light meters  on the other hand do the opposite by measuring the light reflected by or bouncing off a subject.

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Answer:

First, let's think in the vertical problem:

The acceleration will be the gravitational acceleration:

g = 9.8 m/s^2

a = -9.8 m/s^2

For the velocity, we integrate over time:

v(t) = (-9.8 m/s^2)*t + v0

Where v0 is the initial velocity, in this case  v0 = 30m/s.

v(t) =  (-9.8 m/s^2)*t + 30m/s

Now, for the position we integrate again over time, and get:

P(t) = (1/2)*(-9.8 m/s^2)*t^2 + 30m/s*t + p0

Where p0 is the initial position, as the ball is launched from the ground, we can use p0 = 0m

p(t) = (-4.9m/s^2)*t^2 + 30m/s*t

Now, the maximum vertical height is reached when:

v(t) = 0m/s = -9.8m/s^2*t + 30m/s

t = 30m/s/9.8m/s^2 = 3.06s

Now we can evaluate the vertical position in t = 3.06s

p(3.06s) = (-4.9m/s^2)*(3.06)^2 + 30m/s*3.06 = 62m

So, rounding down, the correct option is: C. 60 m

Answer:

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

\(a = \frac{f}{m} \\ \)

f is the force

m is the mass

From the question we have

\(a = \frac{500}{1000} = \frac{1}{2} \\ \)

We have the final answer as

Hope this helps you

The period of small oscillation 12 kg of mercury that poured into a glass tube u with an inside diameter of 1.0 cm mercury can flow without friction in the tube. (The density of mercury is 13.6 x 10³ kg/m³) = 4.61 s

The mercury column's unbalanced weight of 2x is what provides the restoring force when the mercury is moved x meters from its equilibrium location in the right arm.

Weight = v x ρ x g

= (2πr²) x (13.6 x 10³) x (12 x 10⁻⁶ m³)

= 1.13 x 10³ kg/m³

Since Hooke's rule is true and the restoring force = - (2r2 g) x, we can see that the system's effective spring constant is:

k = (2πr²) (ρ) (g)

= 2π (0.005)² (13.6 x 10³) (9.8)

= 20.92 N/m

So, the period:

T = 2π\(\sqrt{\frac{m}{k} }\)

= 2π \(\sqrt{\frac{1.13(10^{3} )}{20.92} }\)

= 4.61 s

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Work= Distance × Force

15 metre × 20 N

300 Joule

Now ,

Power,

2 seconds = 300/2

150 watt

We know that

Unit of Work is Joule

Unit of Power is watt

So,

Work - 300 joule

Power= 150 watt

Work Center 40 requires a nominal capacity of 502 hours to complete an order for 500 Z’s when considering both the set-up time and the run time. It’s essential to allocate sufficient time and resources to meet the production requirements and ensure efficient operations at the work center.

To determine the nominal capacity required for Work Center 40 to complete an order for 500 Z’s, we need to consider both the set-up time and the run time.

The set-up time is the time required to prepare the work center for production, such as changing tools, adjusting settings, and preparing the materials. The run time is the actual time it takes to process each unit of the order.

Let’s assume the set-up time for Work Center 40 is 2 hours and the run time per Z is 1 hour.

To calculate the total nominal capacity, we add the set-up time to the product of the run time per unit and the quantity of units in the order:

Nominal capacity = Set-up time + (Run time per Z * Quantity of Z’s)

Nominal capacity = 2 hours + (1 hour/Z * 500 Z’s)

Nominal capacity = 2 hours + 500 hours

Nominal capacity = 502 hours

Therefore, Work Center 40 requires a nominal capacity of 502 hours to complete an order for 500 Z’s when considering both the set-up time and the run time. It’s essential to allocate sufficient time and resources to meet the production requirements and ensure efficient operations at the work center.

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Answer:

5km 1 hour

Explanation:

An instrumentation amplifier is a specialized type of operational amplifier circuit which amplifies the difference between two input signals. The design of the instrumentation amplifier circuit on breadboard requires some components, including resistors, op-amp, and breadboard.

Here's a step-by-step guide to designing an instrumentation amplifier circuit on breadboard:Step 1: Gather the ComponentsThe following components are required for designing an instrumentation amplifier circuit on breadboard:Two resistors (for feedback)Two resistors (for input)Two resistors (for output)One op-ampBreadboardWires

Step 2: Insert the Op-AmpPlace the operational amplifier (op-amp) in the center of the breadboard. The pins on the op-amp should be pointing upwards.Step 3: Connect the Power Pins of the Op-AmpInsert the power supply pins of the op-amp into the breadboard, usually on the left-hand side. Connect the positive rail of the breadboard to the V+ pin and the negative rail to the V- pin.Step 4: Connect the Feedback ResistorsConnect two feedback resistors between the output pin of the op-amp and the inverting input.

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