a 75kg adults sits at one end of a 9m long board. his 25kg child sits on the other end. a. where should the pivot be placed so that the board is balanced, ignoring the board’s mass? b. find thee pivot point if the board is uniform and has a mass of 15kg

Answers

Answer 1

a)The pivot should be placed one-third of the distance from the child's end, which is 3 m from the child. b)The pivot should be placed at the midpoint of the board, which is 4.5 m from either end.

a) When ignoring the board's mass, the balance of the board depends solely on the weight distribution. The pivot should be placed closer to the 25 kg child to balance the 75 kg adult on the other end. The exact location of the pivot can be determined by considering the weight ratio of the two individuals. In this case, the adult's weight is three times that of the child. Therefore, the pivot should be placed one-third of the distance from the child's end, which is 3 m from the child.

b) When the board has a mass of 15 kg, the distribution of mass along the board must also be considered. The pivot point should be placed closer to the adult to account for the additional mass concentrated on the child's end. Since the mass of the board is 15 kg, it is reasonable to assume that the mass is evenly distributed. Therefore, the pivot should be placed at the midpoint of the board, which is 4.5 m from either end. This balances the combined mass of the adult (75 kg) and the child (25 kg) with the mass of the board (15 kg).

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Related Questions

How is water cleaned in chongqing?

Answers

Answer:

I know

Explanation:

it gets filterd out

Wax melts when it is heated. Which most likely describes what is true of the result of this reaction? The bonding of the atoms is not the same before and after the change. The wax has the same density before and after the change. The same amount of wax exists before and after the change. The wax cannot be changed back into a solid.

Answers

Answer:

The same amount of wax exists before and after the change.

Explanation:

The melting of wax is a physical change and not a chemical change. During a physical change, no new substance is formed as chemical reactions do not take place. In a chemical change, however, new substances are formed because chemical reactions do take place.

In addition to that, both physical and chemical changes obey the law of conservation of matter which states that matter can neither be created nor destroyed but can be transformed from one form to another. It also entails that the mass of a substance present before a reaction should be equal to the mass obtained after the reaction.

In this case, the candle just simply changed its state from solid to liquid. This means that the total mass of the candle that existed as a solid will be the same as that of the liquid state.

Answer:

The answer is C). The same amount of wax exists before and after the change.

Explanation:

The reason for this is simple. If you put a block of wax in a pan, and put it on the scale, (lets say it weighs 2 pounds) it will way two pounds. If you stick it on a stove, and it melts, does it weigh the same amount? Yes, it does. This is because none of the wax left the pan. It just moved around. The only difference is that it is a liquid. It still has the same amount of wax.

Hope this helps!

Unpolarized light of intensity I_0 is incident on a stack of 7 polarizing filters, each with its axis rotated 15 (degrees) cw with respect to the previous filter.
Part A
What light intensity emerges from the last filter?

Answers

Each polarizing filter will only allow light waves that are oscillating in a plane perpendicular to its axis to pass through, while blocking those oscillating parallel to its axis.

Since the axis of each filter is rotated by 15 degrees with respect to the previous filter, the intensity of the light passing through will decrease by a factor of cos^2(15) for each filter, where cos(15) is the cosine of 15 degrees. Therefore, the intensity of the light emerging from the last filter will be I_0 * cos^2(15) raised to the power of 7, as there are 7 filters in the stack. This can be calculated as approximately 0.048 I_0 or about 4.8% of the original intensity I_0.

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A fancart of mass 0.8 kg initially has a velocity of < 0.9, 0, 0 > m/s. Then the fan is turned on, and the air exerts a constant force of < -0.2, 0, 0 > N on the cart for 1.5 seconds. 1. What is the change in momentum of the fancart over this 1.5 second interval?(kg*m/s) 2.What is the change in kinetic energy of the fancart over this 1.5 second interval? (J) Thank you it is due tonight!

Answers

Answer:

Change in momentum: \(\langle -0.3,\, 0,\, 0\rangle\; {\rm kg \cdot m\cdot s^{-1}}\).

Change in kinetic energy: approximately \((-0.2)\; {\rm J}\).

Explanation:

Change in momentum \(\Delta p\) is equal to the net impulse \(J\) on the object. In order to find the net impulse \(J\!\), multiply the net force on the object \(F_{\text{net}\) by the duration \(\Delta t\):

\(\begin{aligned} J &= F_{\text{net}}\, \Delta t \\ &= (1.5)\, \langle -0.2,\, 0,\, 0\rangle\; {\rm N\cdot s} \\ &= \langle -0.3,\, 0,\, 0\rangle\; {\rm kg \cdot m\cdot s^{-1}} \end{aligned}\).

Since the change in momentum is equal to net impulse:

\(\Delta p = J = \langle -0.3,\, 0,\, 0\rangle\; {\rm kg \cdot m\cdot s^{-1}}\).

Divide the change in momentum by mass \(m\) to find the change in velocity \(\Delta v\):

\(\begin{aligned}\Delta v &= \frac{\Delta p}{m} \\ &= \frac{\langle -0.3,\, 0,\, 0\rangle}{0.8}\; {\rm m\cdot s^{-1}} \\ &\approx \langle -0.375,\, 0,\, 0\rangle\; {\rm m\cdot s^{-1}}\end{aligned}\).

Thus, velocity has changed from \(u = \langle 0.9,\, 0,\, 0\rangle\; {\rm m\cdot s^{-1}}\) to:

\(\begin{aligned} v &= u + \Delta v \\ &= \langle 0.9,\, 0,\, 0\rangle\; {\rm m\cdot s^{-1}} \\ &\quad + \langle -0.375,\, 0,\, 0\rangle\; {\rm m\cdot s^{-1}} \\ &= \langle 0.525,\, 0,\, 0\rangle\; {\rm m\cdot s^{-1}}\end{aligned}\).

The initial kinetic energy (a scalar) was:

\(\begin{aligned}(\text{KE, initial}) &= \frac{1}{2}\, m\, {(\| u\|_{2})}^{2} \\ &\approx \frac{1}{2}\, (0.9^{2})\; {\rm J} \\ &=0.324\; {\rm J}\end{aligned}\).

The new kinetic energy would be:

\(\begin{aligned}(\text{KE}) &= \frac{1}{2}\, m\, {(\| u\|_{2})}^{2} \\ &\approx \frac{1}{2}\, (0.525^{2})\; {\rm J} \\ &= 0.11025\; {\rm J}\end{aligned}\).

Hence, the change in kinetic energy would be:

\(\begin{aligned} &(\text{KE}) - (\text{KE, initial}) \\ \approx\; & 0.324\; {\rm J} - 0.11025\; {\rm J}\\ \approx \; & (-0.2)\; {\rm J} \end{aligned}\).

a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. after several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. as the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. the lion and the gazelle eventually each reach constant but different speeds. which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?

Answers

The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.

Velocity is the rate of change of displacement over time.

It has SI units as m/s.The total amount of movement of an object per unit time is also called velocity. It depends on both the size and direction of the moving object.Velocity can also be called as speed when distance is taken into consideration instead of displacement.

As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.

So option A is correct.

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a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure

How does a low protein diet help you lose weight?

Answers

Answer:

a low protein diet helps you lose weight because lack of protein can make you lose muscle mass

Explanation:

It cuts your strength it makes it harder to keep your balance and slows your metabolism and later you get tired easily it leads to muscle wasting overtime and sheds your fat

What is the main purpose of catabolism? to build up needed molecules in the body to produce energy for use by the body to remove built-up waste in the body.​

Answers

Answer:

to produce energy for use by the body.

Explanation:

Catabolism can be defined as a metabolic process which typically involves the breaking down of complex molecules (inorganic and organic) into smaller and simpler molecules. This metabolic process (catabolism) is always accompanied with the release of energy in the form of adenosine triphosphate (ADP).

Some examples of the complex molecules broken down through catabolism are proteins, nucleic acid, polysaccharides, and lipids; which are broken into the following smaller molecules, amino acids, nucleotides, monosaccharides, and fatty acids respectively.

Hence, the main purpose of catabolism in living organisms such as humans, animals and plants is to produce energy for use by the body.

Answer:

to produce energy for use by the body

Explanation:

A race car travels at 33m/s slows at a constnt rate to a velocity of 22 m/s over 112. How far does it move during this time

Answers

If a race car travels at 33m/s slows at a constant rate to a velocity of 22 m/s over 112s, then distance travel by the race car is 3361.1 m.

How to calculate the Acceleration ?

From Newton's first equation of motion

a = (v-u) /t

Given,

Initial velocity = u =  33m/s

Final velocity = v = 22m/s

Time = t = 112s.

Now,

a = (v-u) /t

a = (22-33) / 112

a = -11/112

a = - 0.09m/s²

How to calculate the Distance ?

This can be calculated by using second law of equation or by the third law of equation.

From third equation of motion,

v² − u² = 2as

484 - 1089= 2(0.09) s

605 = 0.18 s

s = 3361.1m.

Thus, we calculated that if a race car travels at 33m/s slows at a constant rate to a velocity of 22 m/s over 112s, then distance travel by the race car is 3361.1 m.

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skier accelerates down the hill at a speed of 18 and reaches the bottom of the hill at a speed of 36 in 6 seconds
What an acceleration of the skier​

Answers

Answer:

3 m/s²

Explanation:

Initial Velocity, u = 18

Final velocity, v = 36

Time, t = 6 seconds

Acceleration is the change in velocity of a body with time. It obtained using the relation :

Acceleration = (v - u) / t

Acceleration = (36 - 18) / 6

Acceleration = 18 / 6

Acceleration = 3m/s²

Hence, acceleration of the skier is 3m/s²

One group approached their investigation by dropping a mass so it
fell vertically downward. They planned to measure the position of the
mass as it descended using a motion detector. They checked whether
the motion detector that they were using was sensitive enough to
capture the motion during the fall, and they were satisfied.
Given that they are measuring the motion (position, velocity, and

acceleration) of the mass, the students can only measure
gravitational potential energy and kinetic energy; any other form of
energy is undetectable. If they hope to see that energy is conserved
in this system, which of the following assumptions must be true (or
approximately true)?

Air Resistance is negligible

The initial vertical velocity of the mass is negligible.

Answers

Answer:

  Air Resistance is negligible

Explanation:

If they hope to see that energy is conserved, then energy must not be gained or lost during the experiment. That is, loss due to air resistance must be negligible.

Answer:

air resistance negligible=true

Explanation:

5. Which of the following is NOT correct walking technique?
O Looking at the ground
Standing tall
Pushing off your toes
Bending your arms

Answers

bending your arms

good luck bro

The plates of an isolated parallel plate capacitor are separated by a distance d and carry charge of magnitude q. The distance between the plates is then reduced to d/2. How is the energy stored in the capacitor affected by this change

Answers

The energy stored in the capacitor decreases to one-half (½) of its initial value when the distance between the plates is then reduced to d/2.

The energy stored in a capacitor.

Mathematically, the energy stored in a capacitor can be calculated by using this formula:

U = ½CV² or U = q²/2C

Where:

q is the charge.C is the capacitance.V is the potential difference.

Thus, we can logically deduce that the energy stored in the capacitor decreases to one-half (½) of its initial value when the distance between the parallel plate capacitors is reduced to d/2.

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the work done by the centripetal force acting on an object moving at a constant linear speed is: group of answer choices greater than zero since a force acts and the object moves equal to zero because the force and the displacement of the object are perpendicular greater than zero since it takes energy to turn an object equal to zero because the object has constant speed

Answers

The work done by the centripetal force acting on an object moving at a constant linear speed is: "equal to zero because the object has constant speed."

When an object moves at a constant linear speed, the velocity vector remains constant, and there is no change in the speed or direction of the object's motion. In this case, the object experiences uniform circular motion, and the centripetal force acts perpendicular to the direction of motion.

The work done by a force is given by the equation:

Work = Force * Displacement * cos(θ)

In the case of the centripetal force, the angle (θ) between the force vector and the displacement vector is 90 degrees since the force and the displacement are perpendicular. Therefore, the cosine of 90 degrees is zero:

Work = Force * Displacement * cos(90°) = 0

Hence, the work done by the centripetal force on an object moving at a constant linear speed is equal to zero.

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g what is the panspermia hypothesis? a. the birth of life on earth is inevitable. b. life can emerge within a planetary nebula. c. life can easily emerge in close proximity to a star exhibiting 50 times the sun's mass. d. life has formed elsewhere and drifted to earth (e.g., via a comet).

Answers

The panspermia hypothesis is d. life has formed elsewhere and drifted to earth (e.g., via a comet).

Anaxagoras, a Greek philosopher, first proposed the idea of panspermia in the 5th century BCE. It states that spacecraft carrying unintentional microorganism contamination by means of space dust, asteroids, comets, planetoids, and meteorites spread life throughout the universe. Panspermia is a speculative theory that is not well-supported by mainstream scientists. It is argued by critics that it merely places life on another celestial body and does not provide an answer to the question of where life came from. Additionally, it is criticized for its inability to undergo experimental testing.

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A. Read these sentences carefully. Choose the correct form of adjectives.
1. Solomon is the
king of all.
a wise
b. wiser
c. wisest
2. Yogurt is
than candies.
a delicious b. more delicious c. most delicious
3. Mayon Volcano is the
volcano for me.
a most majestic b. more majestic
c. majestic
4 My father is an
man
a industrious b. more industrious c. most industrious
5. I was the
when my friend graduated with honors.
a happy b. happier
c. happiest

A. Read these sentences carefully. Choose the correct form of adjectives.1. Solomon is theking of all.a

Answers

Answer:

1. wisest

2. more delicious

3. majestic (not sure about this one)

4. industrious

5. happiest

calculate the braking distance traveled as the speed of the car is reduced from 21 m/s to 0m/s​

Answers

The braking distance traveled by the car is 73.5 m.

What is the braking distance of the car?

The braking distance traveled as the speed of the car is reduced from 21 m/s to 0m/s​ at a deceleration rate of 3 m/s² is calculated as follows.

v² = u² - 2as

where;

v is the final velocity of the car, when it stops = 0u is the initial velocity of the car = 21 m/sa is the deceleration of the car = 3 m/s²s is the braking distance of the car

Substitute the given parameters and solve for the braking distance of the car as shown below.

0 = u² - 2as

2as = u²

s = (u²) / (2a)

s = (21²) / (2 x 3)

s = 73.5 m

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The complete question is below:

calculate the braking distance traveled as the speed of the car is reduced from 21 m/s to 0m/s​, when the car is decelerating at 3 m/s².

state two factors that affect the turning effect of force

Answers

Answer:The first is the magnitude of the force applied on the body and the second is the perpendicular distance from the line of action of force and the axis of rotation of the body.

Explanation:

Refer to Scenario 119. 52. When properly connected to a 480-volt circuit, the boiler will supply ___ watts of power

Answers

Scenario 119 in relation to the question is not provided. In an AC circuit, the formula to determine the power is given as:P = V x I x cos θwhere: P is the power in watts, V is the voltage in volts, I is the current in amperes, and cos θ is the power factor.

However, the voltage is given in the question, which is 480 V, and there is no current or power factor provided in the question. Hence, the answer will be a  which is equal to the power of the boiler in watts when it is connected to a 480-volt circuit.

In an AC circuit, power is defined as:P = V x I x cos θFor this question, the voltage (V) is given as 480V. However, the current (I) and the power factor (cos θ) are not provided. Hence, we cannot directly calculate the power from the equation given above.

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A rock climber, of total mass 62kg, holds herself in horizontal equilibrium against a vertical cliff. She pulls
on a rope that is fixed at the top of the cliff and presses her feet against the cliff.
(a) Calculate the total weight of the climber.
(b) State the two conditions needed for equilibrium.
(c) The climber’s centre of mass is 0.90m from the cliff.
(i) Calculate the moment about her feet due to her weight
(ii) The line of the rope meets the horizontal line through her centre of mass at distance of 1.2m from the
cliff, as shown in the figure. The rope is at an angle of 60° to the horizontal. Determine the tension in the
rope. (Take g = 10ms-2
)

Answers

Answer:

(a) The total weight of the climber is equal to her mass multiplied by the acceleration due to gravity. Therefore, W = mg = 62 kg x 10 m/s^2 = 620 N.

(b) The two conditions needed for equilibrium are that the net force acting on the climber is zero and the net torque acting on the climber is zero.

(c)(i) The moment about her feet due to her weight is equal to the weight of the climber multiplied by the distance between her feet and the cliff. Therefore, M = W x d = 620 N x 0.9 m = 558 Nm.

(ii) To determine the tension in the rope, we need to resolve the forces acting on the climber in the horizontal and vertical directions. In the horizontal direction, the tension in the rope is balanced by the force of friction between the climber's feet and the cliff. Therefore, T = F.

In the vertical direction, the climber's weight is balanced by the normal force of the cliff and the tension in the rope. Therefore, N + Tcos(60) = W.

Since the climber is in equilibrium, the net torque acting on her must be zero. Therefore, the torque due to the tension in the rope must be equal and opposite to the torque due to the climber's weight. Therefore, Tsin(60) x 1.2 = M.

Substituting the values we have, we get:

N + Tcos(60) = W

Tsin(60) x 1.2 = M

Solving for T, we get:

N = W - Tcos(60) = 620 N - T(0.5)

Substituting this into the second equation, we get:

Tsin(60) x 1.2 = M

Tsin(60) = M / 1.2 = 558 Nm / 1.2 m = 465 N

Substituting this value of T into the first equation, we get:

N = 620 N - T(0.5) = 620 N - 465 N(0.5) = 388 N

Therefore, the tension in the rope is 465 N and the normal force of the cliff on the climber is 388N

What happens to a positive charge that is placed at rest in a uniform magnetic field? (a uniform field is one whose strength and direction are the same at all points.)

Answers

It remains at rest since the force and initial velo are zero.

What is Magnetic field?

The magnetic impact on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it while the charge is travelling through a magnetic field.

uniform magnetic field - The field lines must be both parallel and equally spaced in order for the region under examination to have a uniform magnetic field, which must have the same strength and direction throughout.

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Calculate the total energy transferred when 200 g of ice cubes at 0°C are changed to steam at 100°C.

Specific heat capacity of water = 4200 J/kg °C
Specific latent heat of fusion = 340 kJ/kg
Specific latent heat of vaporisation = 2260 kJ/kg

Answers

Answer:

\(604000\ \text{J}\)

Explanation:

m = Mass of ice = 200 g

\(\Delta T\) = Temperature change of water = \((100-0)^{\circ}\text{C}\)

c = Specific heat capacity of water = 4200 J/kg °C

\(L_f\) = Specific latent heat of fusion = 340 kJ/kg

\(L_v\) = Specific latent heat of vaporisation = 2260 kJ/kg

Heat required to convert ice to water = \(mL_f\)

Heat required to raise the temperature of water to boiling point = \(mc\Delta T\)

Heat required to convert water to steam = \(mL_v\)

Total heat required

\(q=mL_f+mc\Delta T+mL_v\\\Rightarrow q=m(L_f+c\Delta T+L_v)\\\Rightarrow q=0.2(340\times 10^3+4200(100-0)+2260\times 10^3)\\\Rightarrow q=604000\ \text{J}\)

Heat required to convert the given amount of ice to steam at the required temperature is \(604000\ \text{J}\).

In three to five sentences, explain how you would conduct an experiment to investigate the relationship between the applied force and the displacement of the spring, and describe its expected results.

Answers

Hooke's law states that the applied force F equals a constant k times the displacement or change in length x.

What is Hooke's law?

The force necessary to extend or compress a spring by a certain distance scales linearly with respect to that distance, according to Hooke's law, an empirical law in physics.

Hooke's Law is a principle of physics that states that the that the force needed to extend or compress a spring by some distance.

F = K.x

A straight line passing through the origin can be drawn by plotting the spring's stretch versus the weight that has been applied to the hanger. This implies that a spring's extension is inversely proportional to the force used to stretch it.

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A box is released from rest and slides down a ramp in a
closed system. Even though the box speeds up, its
What best explains why the box's final kinetic energy is
kinetic energy at the bottom of the ramp is less than the
less than its initial potential energy?
potential energy that it had at the top of the ramp.
O In a closed system, kinetic energy is always less IS
than potential energy.
Some potential energr-was converted into thermal
energy due to friction.
• The acceleration due to gravity became smaller as
the box slid down the ramp.
In
closed system, total energy is constantly being
lost to outside objects.

Answers

Some potential energy was converted into thermal energy due to friction. Option C

What is mechanical energy?

We know that the term mechanical energy has to do with the energy that possessed  by a body owing to the fact that it is in motion or the fact that it is stationary. If the energy is possessed by the object because the object is moving, that means that the energy is the kinetic energy. If the energy is due to the position of the object, we say that the energy is potential.

Now we know that in a closed system, the total mechanical energy of the system must be a constant. The implication of this is that the potential energy of the object at the top of the ramp must be equal to the kinetic energy of the object at the bottom of the ramp.

However, the existence of friction causes some of the energy of the object to be lost as heat as it is descending down the ramp.

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help pls awnser the ABC no need explanation​

help pls awnser the ABC no need explanation

Answers

Answer:

It is C the units and D

Explanation:

18.)C

19.)D

What is the smallest particle size a scientist can observe using a scanning probe microscope?
A) millimeter

B) nanometer

C) picometer

D) decimeter

Answers

The smallest particle size a scientist can observe using a scanning probe microscope would be a nanometer, therefore the correct answer is option B.

What is a unit of measurement?

A recognized and accepted standard for measuring other amounts of the same sort is referred to as a unit of measurement. It is predetermined by custom or law.

As given in the problem, we have to find out what is the smallest particle size a scientist can observe using a scanning probe microscope.

1 millimeters = 1 × 10 ⁻³ meter

1 nanometer = 1 × 10⁻⁹  meters

Thus, the smallest particle size a scientist can observe using a scanning probe microscope would be a nanometer, therefore the correct answer is option B.

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The volume of a gas is increased six times the original volume by heating it. If the original temperature of
the gas was 27 °C, what is the final temperature of the gas?

O 1200 o
O 1800 oC
O 1527 OC
O 1500

Answers

The final temperature of the gas given the data from the question is 1527 °C

Data obtained from the questionInitial volume (V₁) = V Initial temperature (T₁) = 27 °C = 27 + 273 = 300 KFinal volume (V₂) = 6VFinal temperature (T₂) =?

How to determine the new temperature

The final temperature of the gas can be obtained by using the Charles' law equation as illustrated below:

V₁ / T₁ = V₂ / T₂

V / 300 = 6V / T₂

Cross multiply

V × T₂ = 300 × 6V

Divide both side by V

T₂ = (300 × 6V) / V

T₂ = 1800 K

Subtract 273 from 1800 K to express in degree celsius

T₂ = 1800 – 273

T₂ = 1527 °C

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false In order to use the efficiency of a car engine in an optimal way, a maximum engine speed of .........RPM for shifting is recommended for gas engines

Answers

In order to use the efficiency of a car engine in an optimal way, a maximum engine speed of 2500 RPM for shifting is recommended for gas engines.

A car's fuel efficiency is determined by how well it converts the energy in its fuel into kinetic energy for movement.

Most of the time, it's advisable to maintain a speed below 2500 rpm for economic reasons.

Range of 2000-2500 rpm is the best for shifting as

1) It is the most favorable range for the engine due to economic reasons.

2) It saves fuel.

3) It also keeps the engine heavy.

After this range, the economy usually declines.

Even though moving gears doesn't significantly affect engine life due to technological developments, but shifting for gas engines is recommended at 2000-2500 rpm.

Hence, 2500 rpm is the maximum engine speed recommended for gas engines for shifting.

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What would heat up faster and why? Water , wet sand , dry sand , or would it be no difference??

** brainliest **

Answers

In short, I’d say the answer is Dry Sand.

In solids, the intermolecular force of attraction is very high. Whereas, in liquids the intermolecular force of attraction is somewhat less than solids. ... so when you heat, less amount of heat can free the molecules in liquids than solids and hence they heat faster.
I think water it’s a liquid

The force between two objects is 200 n. if the distance between the two objects is doubled, the new force is

Answers

The force between two objects is directly proportional to the distance between them squared. If the distance between the two objects is doubled, the new force will be \($\frac{1}{4}$\) of the original force.

The force between two objects can be expressed by the equation:

\(\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]\)

where F is the force, G is the gravitational constant, \(\( m_1 \)\) and \\(\( m_2 \)\) are the masses of the objects, and r is the distance between them.

In this case, we have a force of 200 N between the objects. If the distance between them is doubled, the new distance r' will be twice the original distance r . Plugging in these values into the equation, we can calculate the new force:

\(\[ F' = \frac{G \cdot m_1 \cdot m_2}{(2r)^2} = \frac{G \cdot m_1 \cdot m_2}{4r^2} = \frac{1}{4} \left(\frac{G \cdot m_1 \cdot m_2}{r^2}\right) = \frac{1}{4} F \]\)

Therefore, the new force between the objects will be one-fourth (1/4) of the original force, which means it will be 50 N.

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Select the correct answer.
Which outcome does the big crunch scenario predict?

A. the matter in the universe will slow the expansion to the pointwhere it would finally come to a halt and then start to retract

B. the universe will keep expanding and growing ever larger and galaxies will grow farther apart

C. the universe will finally extinguish itself with a violent expansion similar to the one with which it began

D. the gravity in the universe will grow very weak, resulting in the planets drifting into stars

Answers

Answer:

A. the matter in the universe will slow the expansion to the point where it would finally come to a halt and then start to retract

Explanation:

Answer:

the matter in the universe will slow the expansion to the point where it would finally come to a halt and then start to retract

Explanation:

Plato/Edmentum

Select the correct answer.Which outcome does the big crunch scenario predict?A. the matter in the universe
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