The total resistance of two identical resistors wired in parallel will be less than the individual resistance of one of them.
When two identical resistors are wired in parallel, the equivalent resistance of the circuit will be less than the resistance of each individual resistor. This is because when resistors are wired in parallel, the total current in the circuit is divided among the resistors, and each resistor carries a fraction of the total current.
This reduces the overall resistance of the circuit, as the current can flow through two paths instead of one. The equation for calculating the equivalent resistance of two resistors wired in parallel is R_eq = R/2, where R is the resistance of each individual resistor.
Therefore, the total resistance of two identical resistors wired in parallel will be half of the resistance of one individual resistor.
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Match each term in Column A with its definition in Column B. Column A 1. city 2. metropolitan area 3. slum 4. suburb 5. rural 6. urban 7. megalopolis 8. inner city 9. regional planning Column B a. a term that describes an area made up mostly of farms or small towns b. the area that includes a city and its sur- rounding suburbs c. an important town that is given the right to govern itself by the state d. another name for the center or core of a city e. working to solve problems in an area larger than a city but smaller than a country an urban area with run-down housing f. g. a term that describes a city or metropolitan area h. a community just outside of a city i. a network, or chain, of metropolitan areas
city - c. an important town that is given the right to govern itself by the state
metropolitan area - b. the area that includes a city and its surrounding suburbs
slum - f. an urban area with run-down housing
suburb - h. a community just outside of a city
rural - a. a term that describes an area made up mostly of farms or small towns
urban - g. a term that describes a city or metropolitan area
megalopolis - i. a network, or chain, of metropolitan areas
inner city - d. another name for the center or core of a city
regional planning - e. working to solve problems in an area larger than a city but smaller than a country
A populated area of significant size is called a city. It may be described as a location that is permanently populated, has clearly defined administrative boundaries, and whose inhabitants focus mostly on non-agricultural jobs. slum is an urban area with run-down housing
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A 5.00 Ω and a 10.0 Ω resistor are connected in series across an unknown voltage. The total current in the circuit is 3.00 A.
What is the equivalent resistance of the circuit?
What is the current through the 5.00 Ω resistor?
What is the total voltage drop for the entire circuit?
The total voltage drop for the entire circuit is the sum of the voltage drops across each resistor, which is 45.0 V.
The equivalent resistance of the circuit is simply the sum of the individual resistances. Therefore, the equivalent resistance is 5.00 Ω + 10.0 Ω = 15.0 Ω.
To find the current through the 5.00 Ω resistor, we can use Ohm's Law, which states that current is equal to voltage divided by resistance. Since we know the total current in the circuit is 3.00 A, and the equivalent resistance is 15.0 Ω, we can use Ohm's Law to find the voltage drop across the circuit: V = IR = (3.00 A)(15.0 Ω) = 45.0 V.
Now we can use Ohm's Law again to find the current through the 5.00 Ω resistor: I = V/R = (45.0 V)/(5.00 Ω) = 9.00 A.
Finally, we can use the same voltage drop to find the voltage drop across the 10.0 Ω resistor: V = IR = (3.00 A)(10.0 Ω) = 30.0 V.
Therefore, the total voltage drop for the entire circuit is the sum of the voltage drops across each resistor, which is 45.0 V.
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How does the lever arm change when you decrease the distance to the nut?
It decreases
It increases
Stays the same
When you decrease the distance to the nut, the lever arm also decreases. Hence the correct option is "It decreases".
This is because the lever arm is the perpendicular distance between the axis of rotation and the line of action of the force. In this case, the axis of rotation is the nut and the force is applied at a point closer to the nut. As the distance between the force and the nut decreases, the lever arm also decreases.
This relationship between distance and lever arm is important in understanding how levers work. A longer lever arm allows for greater torque or rotational force to be applied with the same amount of force. Conversely, a shorter lever arm requires more force to generate the same amount of torque. By decreasing the distance to the nut, you are effectively shortening the lever arm and therefore reducing the torque that can be applied.
Understanding the relationship between distance and lever arm can be useful in a variety of contexts, such as in engineering, physics, and even sports. It can help in designing more efficient machines or in understanding how to optimize physical movements for maximum performance.
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True or False. Retracting the caliper piston on an integrated parking brake system is different than on a standard caliper.
The given statement "Retracting the caliper piston on an integrated parking brake system is different than on a standard caliper" is True because Integrated parking brake systems are becoming more common in newer vehicles.
These systems integrate the parking brake function into the rear calipers, rather than using a separate parking brake assembly. This means that retracting the caliper piston on an integrated parking brake system requires additional steps.
On a standard caliper, retracting the piston is typically done by compressing it with a piston compression tool. However, on an integrated parking brake system, the piston must be rotated while being compressed. This is because the parking brake mechanism is engaged by turning the piston, rather than by pulling a separate parking brake lever.
Overall, retracting the caliper piston on an integrated parking brake system requires extra care and attention to ensure proper functioning of the brake system. It is important to consult the vehicle manufacturer's instructions or a qualified mechanic for guidance on this process.
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If the resistance in a circuit using an ideal (no internal resistance) battery is increased, then
A. the current coming out of the battery does not change.
B. the voltage difference maintained by the battery does not change.
C. the power output of the battery does not change.
D. All of the choices are correct.
If the resistance in a circuit using an ideal (no internal resistance) battery is increased, then the voltage difference maintained by the battery does not change. So, option B. is correct.
An ideal battery is an emf source that maintains a constant terminal voltage, independent of the current between the two terminals. An ideal battery has no internal resistance, and the terminal voltage is equal to the emf of the battery.
In an ideal battery, the voltage difference (or potential difference) across the battery terminals is constant and determined by the battery's chemistry.
Increasing the resistance in the circuit does not affect the battery's voltage difference.
However, increasing the resistance does cause a change in the current (I = V/R), and subsequently,
the power output (P = IV) will also change.
Therefore, options A and C are incorrect, and the correct answer is option B.
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A ___ is a mechanical pressure sensor consisting of a hollow tube formed into a shape that changes with changes in pressure.
A Bourdon tube is a mechanical pressure sensor consisting of a hollow tube that is formed into a C-shape or helix that changes with changes in pressure.
The Bourdon tube works based on the principle that a closed tube will change shape when pressure is applied to the inside of the tube. The tube is connected to the pressure source through a sealed connection, and as the pressure increases,
The tube begins to straighten out, causing the pointer to move on the gauge. The Bourdon tube is widely used in pressure gauges, barometers, and other pressure measuring instruments.
It is known for its accuracy, reliability, and durability. The Bourdon tube can be made from a variety of materials, including copper, brass, and stainless steel, depending on the application requirements.
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who would be most interested in how damage to one's amygdala can affect personality? A. Allport B. Bandura C. Eyesenck D. Gray. 79.
The researcher most interested in how damage to one's amygdala can affect personality would be D. Gray.
Gray's research focused on brain structures, including the amygdala, and their influence on personality traits.
Professionals and researchers in the fields of neuroscience, psychology, psychiatry, and behavioral science would be most interested in how damage to one's amygdala can affect personality. These individuals study and specialize in understanding the brain, behavior, and mental processes, including the impact of brain injuries and abnormalities on various aspects of human functioning, including personality. They seek to investigate and comprehend the specific effects of amygdala damage on personality traits and emotional regulation, as the amygdala plays a crucial role in these areas.
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An opera singer in a convertible sings a note at 600 Hz while cruising down the highway at 90 km/h. What is the frequency heard by a. A person standing beside the road in front of the car
646.85 Hz is the approximate frequency heard by a person standing beside the road in front of the car.
To find the frequency heard by a person standing beside the road in front of the car, we will use the Doppler effect formula. The terms involved in this problem are the opera singer's frequency (600 Hz), the speed of the car (90 km/h), and the speed of sound in air.
1: Convert the speed of the car to meters per second (m/s).
1 km/h = 0.27778 m/s, so 90 km/h * 0.27778 = 25 m/s.
2: Find the speed of sound in air. We will assume it to be approximately 343 m/s.
3: Use the Doppler effect formula to find the frequency heard by the person standing beside the road.
[tex]f= f_s * (v + v_L) / (v + v_s)[/tex]
Where,
fs is the opera singer's frequency (600 Hz)
v is the speed of sound in air (343 m/s)
vL is the person's speed (0 m/s, as they are stationary)
vs is the car's speed (25 m/s).
4: Plug in the values into the formula and calculate the observed frequency.
f_observed = 600 Hz * (343 + 0) / (343 - 25) = 600 Hz * (343 / 318) ≈ 646.85 Hz
The frequency heard by a person standing beside the road in front of the car is approximately 646.85 Hz.
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Gravitational force acts on all objects in
proportion to their masses. Why, then,
doesn't a heavy object fall faster than a
lighter one? (Is the answer something you
learned much earlier?)
A heavy object does not fall faster than a lighter one because the force of gravity is proportional to both the masses of the objects and the acceleration due to gravity.
According to Newton's second law, the force acting on an object is equal to its mass multiplied by its acceleration. When two objects with different masses are dropped from the same height, they experience the same acceleration due to gravity.
As a result, the force of gravity acting on each object is proportional to its mass, but the heavier object has a greater force acting on it. However, this greater force is counteracted by the heavier object's greater mass, resulting in both objects falling at the same rate.
This phenomenon is known as the equivalence principle and is the reason why all objects fall to the ground at the same rate in the absence of air resistance.
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If the distance to the Moon were doubled, then the force of attraction between Earth and the Moon would be: a) one quarter
b) one half c) the same
d) two times
e) four times
If the distance to the Moon were doubled, then the force of attraction between Earth and the Moon would be: a) one quarter because the force of gravitational attraction between two objects decreases with the square of the distance between their centers.
If the distance to the Moon were doubled, the distance between the centers of mass would be 2r, causing the force of attraction to be reduced to 1/4 of its original value.
This can be calculated by following few steps :
The force of attraction between two objects is given by the formula:
F = G * (m1 * m2) / r²
where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.
If the distance to the Moon were doubled, the new distance would be 2r, where r is the original distance. Substituting this value into the formula above, we get:
F' = G * (m1 * m2) / (2r)²
Simplifying this expression, we get:
F' = G * (m1 * m2) / 4r²
Thus, the force of attraction between Earth and the Moon would be reduced to one quarter (1/4) of its original value if the distance to the Moon were doubled. Therefore, the correct answer is (a) one quarter.
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72. A simple pendulum oscillating with a small amplitude is an example of simple
harmonic motion. ____________________
True.
Simple harmonic oscillators, such as a small-amplitude oscillating pendulum, exhibit similar behavior.
This indicates that it has periodic motion, which may be modeled by a sinusoidal function.
As long as the amplitude of the oscillation is minimal, the length of the pendulum and the acceleration caused by gravity determine how long the pendulum will oscillate.
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The two asteroids from which close-up images and data have been returned by the Galileo spacecraft are: Group of answer choices
The two asteroids from which close-up images and data have been returned by the Galileo spacecraft are Gaspra and Ida.
The Galileo spacecraft was launched by NASA in 1989 to study Jupiter and its moons. During its mission, it also flew by Gaspra in 1991 and Ida in 1993, taking close-up images and gathering data about their composition and structure. Gaspra is an S-type asteroid, while Ida is a C-type asteroid and has a small moon named Dactyl. The data collected from these encounters has helped scientists better understand the formation and evolution of asteroids and the early solar system.
Therefore, the two asteroids from which images have been returned are Gaspra and Ida.
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A pincurl with an open circle has the ability to produce which of the following effects? a. fluffy effect b. smaller wave c. stronger wave d. wider wave pattern with uniform curls
A pincurl with an open circle has the ability to produce a wider wave pattern with uniform curls. The correct option is d.
A pincurl is a hairstyle technique that involves wrapping a section of hair around two fingers and then securing it in place with a clip or pin. The shape of the pincurl determines the type of wave or curl that it will produce. An open circle pincurl is created by wrapping the hair around two fingers and then spreading the fingers apart slightly before securing the curl in place.
This technique creates a wider wave pattern with uniform curls, as opposed to a smaller wave or a stronger wave that may be produced with other pincurl shapes. The fluffy effect mentioned in the question is not typically associated with an open circle pincurl, but may be achieved through other hairstyling techniques.
Therefore, the correct answer is that an open circle pincurl has the ability to produce a wider wave pattern with uniform curls. Option d. is the correct answer.
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If you had two iron rods and noticed that they attract each other, how could you determine if both were magnets or only one was a magnet?
If two iron rods are attracting each other, it could mean that both are magnets or only one is a magnet.
To determine this, you can use a third magnet or a compass. If you bring a third magnet near the rods and it also attracts them, then it's safe to assume that both rods are magnets. However, if the third magnet doesn't attract the rods, then it's likely that only one of the rods is a magnet and the other is simply being magnetized by it.
Alternatively, you can use a compass to determine which rod is a magnet. Place the compass near one of the rods and note the direction it points. Then, move the compass towards the other rod. If the direction of the compass changes, it means that the second rod is also a magnet. However, if the direction of the compass remains the same, it's likely that only one of the rods is a magnet.
In either case, it's important to note that the rods may lose their magnetism over time, so it's always a good idea to retest them periodically.
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this question received a great deal of attention from Michael Faraday, a famous early-nineteenth-century scientist.
What is the question
The question that received a great deal of attention from Michael Faraday, a famous early-nineteenth-century scientist, is not explicitly mentioned in the prompt. Therefore, it is difficult to provide an accurate answer.
However, Michael Faraday made significant contributions to the fields of electromagnetism and electrochemistry. He conducted several experiments and investigations to understand the relationship between electricity, magnetism, and chemical reactions.
Faraday's research laid the foundation for the development of the electric motor, transformer, and generator. He also discovered benzene, which is a highly significant compound in organic chemistry.
Overall, Michael Faraday's scientific pursuits and discoveries had a profound impact on the advancement of science and technology in the nineteenth century and beyond.
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The switch is closed for a long time, resulting in a steady current Vb/R through the inductor. At time t = 0, the switch is opened, leaving a simple LC circuit. Which formula best describes the charge on the capacitor as a function of time?
The formula that best describes the charge on the capacitor as a function of time in a simple LC circuit is Q = Q_max * cos(wt),
where Q is the charge on the capacitor, Q_max is the maximum charge on the capacitor, w is the angular frequency of the circuit, and t is the time. At time t = 0,
The charge on the capacitor is equal to Q_max, and it begins to oscillate at a frequency determined by the values of L and C in the circuit. The charge on the capacitor oscillates back and forth between positive and negative values, with a period of T = 2*pi*sqrt(LC).
As time passes, the amplitude of the charge on the capacitor decreases due to energy losses in the circuit. Eventually, the charge on the capacitor will become negligible, and the circuit will reach a state of equilibrium.
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The Stokes number is essentially a ratio of gravitational forces to inertial forces.
T/F
Yes it is true.
Is the Stokes number essentially a ratio of gravitational forces to inertial forces?The Stokes number is a dimensionless parameter used in fluid dynamics to quantify the relative importance of inertial forces to viscous forces.
It is defined as the ratio of the particle relaxation time (the time it takes for a particle to adjust its velocity to the surrounding fluid) to the characteristic time scale of the fluid flow.
In the context of gravitational forces, the Stokes number can be used to describe the behavior of particles in a fluid under the influence of gravity.
When the Stokes number is small, the particles are strongly coupled to the fluid and move with the fluid flow. In this regime, gravitational forces are relatively unimportant.
However, when the Stokes number is large, the particles are less strongly coupled to the fluid and can experience significant gravitational settling.
Therefore, the Stokes number is a ratio of inertial forces (associated with particle motion) to viscous forces (associated with the fluid), and it can be used to describe the relative importance of gravity in particle motion.
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A person, whose eye has a lens-to-retina distance of 2.0 cm, can only clearly see objects that are closer than 1.0 m away. What is the strength S of the person's eye lens? (Note: Use the thin lens formula 1/O+1/I=S.)
The strength of the person's eye lens is 0.51 diopters.
How to determine the strength of the person's eye lensTo determine the strength (S) of the person's eye lens, we need to apply the thin lens formula:
1/O + 1/I = S.
In this case, O represents the object distance (1.0 m) and I represents the image distance (lens-to-retina distance, 2.0 cm).
First, convert the object distance to centimeters:
O = 1.0 m * 100 cm/m = 100 cm
Next, plug the values into the thin lens formula:
1/100 cm + 1/2.0 cm = S
Simplify the equation: 0.01 + 0.5 = S
Finally, calculate the strength of the eye lens:
S = 0.51 diopters
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Calculate the force needed to bring a 886-kg car to rest from a speed of 81 km/h in a distance of 120 m (a fairly typical distance for a non-panic stop).
The force needed to bring the car to rest from a speed of 81 km/h in a distance of 120 m is approximately 166.125 N.
To calculate the force needed to bring the car to rest, we need to use the formula:
force = (mass x change in velocity) / distance
First, we need to convert the speed from km/h to m/s:
81 km/h = 22.5 m/s
Next, we need to find the change in velocity:
change in velocity = 0 m/s - 22.5 m/s = -22.5 m/s
(Note that the final velocity is 0 m/s because the car comes to a complete stop.)
Now we can plug in the values:
force = (886 kg x -22.5 m/s) / 120 m
Simplifying:
force = -166.125 N
(Note that the force is negative because it acts in the opposite direction to the car's motion.)
Therefore, the force needed to bring the car to rest from a speed of 81 km/h in a distance of 120 m is approximately 166.125 N.
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40. A pendulum moves so that a swing in one direction corresponds with one second. What is the frequency of the pendulum?
a. 2 Hz
b. 1 Hz
c. 0.5 Hz
d. 0.25 Hz
The frequency of the pendulum is 0.5 Hz. So, the correct option is c.
Time period is defined as the time required to make one complete oscillation.
Given that the time for half oscillation of the pendulum is one second.
Therefore, time period of the pendulum,
T = 2 x 1
T = 2s
The frequency of the pendulum is the reciprocal of the time period of the pendulum. So,
Frequency, f = 1/T
f = 1/2
f = 0.5 Hz
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An object has a net negative charge. Presuming that the object was initially neutral, what could have happened to cause the negative charge? a. Negative charge has been transferred to the object. b. Negative charge has been transferred from the object. c. Positive charge has been transferred to the object. d. Positive charge has been transferred from the object. e. Both (a) and (d) could be true. f. Both (b) and (c) could be true.
(a) Negative charge has been transferred to the object. When an object gains electrons, it gains a negative charge.
This could happen due to a process called electron transfer, where electrons are transferred from one object to another. This process can occur through friction, conduction, or induction. For example, when a plastic comb is rubbed against a piece of fur, electrons are transferred from the fur to the comb, leaving the comb with a negative charge. Similarly, if an object is brought into contact with a negatively charged object, some of the electrons from the negatively charged object can be transferred to the neutral object, giving it a negative charge.
Therefore, the most likely scenario in this case is that the object has gained electrons, resulting in a net negative charge. Option (b) is incorrect because it suggests that the negative charge has been transferred away from the object, which would result in a positive charge. Options (c) and (d) are incorrect because they suggest the transfer of positive charges, which would result in a net positive charge on the object. Option (e) is incorrect because it suggests the transfer of both positive and negative charges, which would result in a net charge of zero. Option (f) is incorrect because it suggests the transfer of positive and negative charges, which would result in a net charge of zero.
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Is a fresh battery a constant current source (delivering essentially a fixed amount of current regardless of the circuit connected to it) or a constant voltage source (applying essentially a fixed potential difference regardless of the circuit connected to it), or neither? Explain
A fresh battery can be considered neither a constant current source nor a constant voltage source.
This is because the voltage of a battery gradually decreases as it discharges, and the current delivered by the battery depends on the resistance of the circuit it is connected to.
However, a fresh battery can be considered to have a relatively constant voltage for a short period of time before it begins to discharge. This means that the voltage supplied by the battery will remain relatively stable even as the current drawn from it changes.
In summary, a fresh battery can be considered a relatively stable voltage source for a short period of time, but its voltage will decrease as it discharges and its current output will vary based on the circuit it is connected to.
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A 15-kg child is sitting on a playground teeter-totter, 1.5 m from the pivot. What is the magnitude of the minimum force, applied 0.30 m on the other side of the pivot, that is needed to make the child lift off the ground? Assume the teeter-totter has no mass and use g = 9.8 m/s2.
Answer: We can solve this problem by using the principle of moments. The principle of moments states that the sum of the moments of all the forces acting on an object must be zero if the object is in equilibrium.
In this case, we can consider the teeter-totter as a rigid object that is rotating around a pivot point. The weight of the child is acting downwards, and the force we need to find is acting upwards. The pivot point is the point where the teeter-totter is rotating, so we can consider this point as the fulcrum of a lever.
To find the minimum force needed to make the child lift off the ground, we need to find the point where the weight of the child and the force acting upwards produce a moment of zero.
Let's first calculate the moment produced by the weight of the child:
M_child = F_child x d_child
where F_child is the weight of the child, and d_child is the distance from the child to the pivot.
F_child = m_child x g = 15 kg x 9.8 m/s^2 = 147 N
d_child = 1.5 m
M_child = 147 N x 1.5 m = 220.5 Nm
To produce a moment of zero, the force we need to find must be placed at a distance of:
d_force = M_child / F_force
where F_force is the force we need to find.
d_force = 220.5 Nm / F_force
Now, we know that the distance from the force to the pivot is 0.30 m, so we can set up an equation using the principle of moments:
M_child + M_force = 0
F_child x d_child + F_force x d_force = 0
Substituting the expressions for M_child and d_force, we get:
147 N x 1.5 m + F_force x (220.5 Nm / F_force + 0.30 m) = 0
Simplifying and solving for F_force, we get:
F_force = 147 N x 1.5 m / (0.30 m - 220.5 Nm / (147 N)) = 441 N
Therefore, the minimum force needed to make the child lift off the ground is 441 N.
Explanation: hpe this helps :D
Answer:
Explanation:We can solve this problem by using the principle of moments. The principle of moments states that the sum of the moments of all the forces acting on an object must be zero if the object is in equilibrium.
In this case, we can consider the teeter-totter as a rigid object that is rotating around a pivot point. The weight of the child is acting downwards, and the force we need to find is acting upwards. The pivot point is the point where the teeter-totter is rotating, so we can consider this point as the fulcrum of a lever.
To find the minimum force needed to make the child lift off the ground, we need to find the point where the weight of the child and the force acting upwards produce a moment of zero.
Let's first calculate the moment produced by the weight of the child:
M_child = F_child x d_child
where F_child is the weight of the child, and d_child is the distance from the child to the pivot.
F_child = m_child x g = 15 kg x 9.8 m/s^2 = 147 N
d_child = 1.5 m
M_child = 147 N x 1.5 m = 220.5 Nm
To produce a moment of zero, the force we need to find must be placed at a distance of:
d_force = M_child / F_force
where F_force is the force we need to find.
d_force = 220.5 Nm / F_force
Now, we know that the distance from the force to the pivot is 0.30 m, so we can set up an equation using the principle of moments:
M_child + M_force = 0
F_child x d_child + F_force x d_force = 0
Substituting the expressions for M_child and d_force, we get:
147 N x 1.5 m + F_force x (220.5 Nm / F_force + 0.30 m) = 0
Simplifying and solving for F_force, we get:
F_force = 147 N x 1.5 m / (0.30 m - 220.5 Nm / (147 N)) = 441 N
Therefore, the minimum force needed to make the child lift off the ground is 441 N.
Explanation: hpe this helps :D
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Which is a suggestion for communicating with a seriously ill two year old child?A. Provide maximum physical relief and comfortB. Evaluate for feelings of guiltC. Foster the child’s sense of mastery and controlD. Maintain access to peers in their pre-school setting
The suggestion for communicating with a seriously ill two year old child is A. Provide maximum physical relief and comfort.
What is the communication with a seriously ill two year old child?When a child is sriosly ill, it is very neccessary for the parent as ll as th caregiver to make the move to seek for the best way to relief the child.
However suggestion for communicating with a seriously ill two year old child can be seen in he act of giving out maximum physical relief which coud be from the caregiver as ell as the parent so that th child will be be freed from the sickness.
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What difficulties did you encounter in making accurate measurements?
There are various difficulties that people can encounter while making accurate measurements. Some of these include: using inaccurate or faulty instruments, misreading the scale or not taking the measurement from the correct position, inadequate lighting or environmental conditions that can affect the measurement, and lack of proper training or understanding of the measuring technique.
The difficulties which may arise in making accurate measurementsWhen making accurate measurements, several difficulties may arise.
First, human error can occur due to factors such as misreading scales, misjudging endpoints, or inconsistent techniques.
Next, instrument error may contribute to inaccuracies due to calibration issues, wear and tear, or manufacturing defects.
Environmental factors, such as temperature, humidity, or air pressure, can also affect measurements.
Furthermore, parallax error may happen when the observer's eye is not directly aligned with the measurement scale, leading to a skewed reading.
Lastly, the limitations of the measuring device itself, like its resolution and least count, can limit the accuracy of measurements.
Overcoming these difficulties requires attentiveness, proper calibration and maintenance of instruments, and using suitable tools and techniques for the specific measurement task.
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A 2.0-kg particle has an initial velocity of (5i - 4j) m/s. Some time later, its velocity is (7i ; 3j) m/s. How much work was done by the resultant force during this time interval, assuming no energy is lost in the process
The work done by the resultant force can be calculated using the work-energy principle, which states that the work done by all the forces acting on an object is equal to the change in its kinetic energy.
First, we need to find the change in kinetic energy of the particle. The initial kinetic energy (KEi) can be calculated using the formula KEi = (1/2)mv^2, where m is the mass of the particle and v is its initial velocity. Substituting the given values, we get KEi = (1/2)(2 kg)(√41 m/s)^2 = 41 J.
Similarly, the final kinetic energy (KEf) can be calculated using the final velocity. KEf = (1/2)mv^2 = (1/2)(2 kg)(√58 m/s)^2 = 58 J.
Therefore, the change in kinetic energy (ΔKE) = KEf - KEi = 58 J - 41 J = 17 J.
Now, using the work-energy principle, we know that the work done by the resultant force (W) = ΔKE. Since no energy is lost in the process, all the work done by the forces is converted into the change in kinetic energy of the particle.
Therefore, the work done by the resultant force during this time interval is 17 J.
The work done by the resultant force during the time interval is 17 J, which is equal to the change in kinetic energy of the particle, as per the work-energy principle.
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Suppose an electrical wire is replaced with one having every linear dimension doubled. Does the wire now have a) more resistance
b) less resistance
c) the same resistance than before
Suppose an electrical wire is replaced with one having every linear dimension doubled. The wire does have b) less resistance. When an electrical wire has every linear dimension doubled, its cross-sectional area increases by a factor of 4 (2²) because the area of a circle or a wire is proportional to the square of its radius.
This has an impact on its resistance, which is calculated as:
R = (ρ*L)/A
where R is the resistance, ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area of the wire.
a) The wire now has less resistance than before because the increased cross-sectional area of the wire decreases its resistance. This can be seen from the equation above: if A is doubled, then the resistance is halved (assuming ρ and L remain constant).
b) The wire does not have more resistance because its cross-sectional area has increased, which reduces its resistance.
c) Therefore, the wire has less resistance than before because its cross-sectional area has increased by a factor of 4, while the length and resistivity of the wire remain constant.
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clicker question: Given that A⃗ +B⃗ = C⃗ and that |A| + |B| = |C| how are vectors A and B oriented with respect to each other?
Vectors A and B are oriented at an angle of 180 degrees with respect to each other.
The triangle inequality, which asserts that for every triangle, the total of any two sides is higher than the length of the third side, may be used to understand this.
In this instance, the triangle inequality is satisfied by the equation |A| + |B| = |C|.
As a result, we may create a triangle with sides A, B, and C,
where sides A and B are orientated at an angle of 180 degrees with regard to one another, and their lengths are added together to match the length of side C.
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before describing motion you must:
1. set up coordinate system
2. define an origin and a positive direction
3. define your position
before describing motion you must set up coordinate system. Hence option A is correct.
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space. The order of the coordinates matters, and they are sometimes identified by their position in an ordered tuple, and other times by a letter, as in "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers, but they can also be complex numbers or members of a more abstract system, such as a commutative ring. The use of a coordinate system allows geometry issues to be transformed into numerical problems and vice versa; this is the foundation of analytic geometry. describing motion you must set up coordinate system.
Hence option A is correct.
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convert 14560000000 into scientific notation
The scientific notation of the given value above would be = 1.456 × 10¹⁰.
How to determine the scientific notation of the given value?The scientific notation of representation of a figure is an easy way of writing a figure that is too small or too large. This is written with 10 raised to power of a number that can either be possible or negative.
That is;
14560000000 = 1.456 × 10¹⁰.
The 10 is raised to power 10 because it's a large number.
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