it is difficult to walk on sand or ice,why?​

Answers

Answer 1

Answer:

no is not hard to walk on sand and yes it's hard for ice

Explanation:

ice is liquid


Related Questions

the soft ballplayer does 9876 joules of work when hitting a ball into center field. Assuming the ball landed 100 meters away from home plate, how much force did the player use to hit the ball?

Answers

Answer:

F = 987600 N

Explanation:

Force Equation

F=ma

Newton's second law states that force is proportional to what is required for an object of constant mass to change its velocity. This is equal to that object's mass multiplied by its acceleration. We use Newtons, kilograms, and meters per second squared as our default units, although any appropriate units for mass (grams, ounces, etc.) or velocity (miles per hour per second, millimeters per second2, etc.) could certainly be used as well - the calculation is the same regardless.

Solve

F = m * a

F = 100 kg * 9876 m/s2

F = 987600 N

Newtons are derived units, equal to 1 kg-m/s². In other words, a single Newton is equal to the force needed to accelerate one kilogram one meter per second squared.

Indicate the effect on the pressure (increases, decreases, or no change) of the following change.
a. There is a decrease in volume (n; T constant):
b. The volume and the Kelvin temperature are reduced by one-half (n constant):
c. A leak occurs and gas escapes (V, T constant):

Answers

The effect on the pressure is: a. The pressure increases, b. The pressure remains constant, c. The pressure decreases.

Here are the effects on the pressure for each scenario:

a. There is a decrease in volume (n; T constant): Pressure increases (due to Boyle's Law: P1V1 = P2V2)

b. The volume and the Kelvin temperature are reduced by one-half (n constant): Pressure remains the same (due to the combined gas law: P1V1/T1 = P2V2/T2)

c. A leak occurs and gas escapes (V, T constant): Pressure decreases (since there are fewer gas particles exerting pressure)

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A 71. 0 kg
football player is gliding across very smooth ice at 2. 05 m/s. He throws a 0. 440 kg
football straight forward

Answers

Using conservation of momentum the player's speed afterward if the ball is thrown at 17.5 ms relative to the player is 3.02 m/s.

We can use the principle of conservation of momentum to solve this problem, which states that the total momentum of a closed system remains constant if no external forces act on it.

Initially, the momentum of the system is the sum of the momentum of the football player and the football, given by:

p_initial = m_player × v_player + m_football × v_football

where:

m_player = 71 kg is the mass of the football player

v_player = 2 m/s is the initial velocity of the football player

m_football = 0.430 kg is the mass of the football

v_football = 17.5 m/s is the velocity of the football relative to the football player

Plugging in the values, we get:

p_initial = (71 kg)(2 m/s) + (0.430 kg)(17.5 m/s) = 15.325 kg m/s

After the football is thrown, the football player will move in the opposite direction with a new velocity v_player'. The momentum of the system after the throw is:

p_final = m_player × v_player' + m_football × v_football'

where v_football' = 0 m/s since the football has left the system.

Since the total momentum of the system is conserved, we have:

p_initial = p_final

which gives us:

m_player × v_player + m_football × v_football = m_player × v_player'

Solving for v_player', we get:

v_player' = (m_player × v_player + m_football × v_football) / m_player

Plugging in the values, we get:

v_player' = (71 kg × 2 m/s + 0.430 kg × 17.5 m/s) / 71 kg = 3.02 m/s

Therefore, the football player's speed after throwing the football is 3.02 m/s.

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The question is -

A 71 kg football player is gliding across very smooth ice at 2 ms. He throws a 0.430 kg football straight forward. What is the player's speed afterward if the ball is thrown at 17.5 ms relative to the player?

The outside diameter of your teacher's rear bicycle tire is 16 inches. How far will he travel if the rear wheel makes 1200 revolutions on the road?

Answers

Answer:

241,274.32 inches

Explanation:

How far will he travel if the rear wheel makes 1200 revolutions on the road?

Since the rear wheel makes one revolution in the distance of a circumference of a circle, C with diameter, d = 16 inches

C = πd²/4

So, the distance, travelled in 1200 revolutions is D = 1200 × C = 1200πd²/4

Substituting d = 16 into D, we have

D = 1200πd²/4

D = 1200π(16)²/4

D = 76800π

D = 241,274.32 inches

Since these three vehicles would all go the same speed at the bottom if released from the same height, would they all possess the same amount of kinetic energy? Mid-point between maximum height and zero

Answers

Since these three vehicles would all go the same speed at the bottom if released from the same height, they would not all possess the same amount of kinetic energy because they have different amounts of potential energy.

Kinetic energy is dependent on the velocity of the object as well as its mass. Therefore, the three vehicles, though they have the same speed, would differ in their kinetic energy due to their varying mass. This concept is known as mechanical energy and is the sum of kinetic and potential energy.

Mechanical energy is also constant in an ideal situation where no external forces are acting upon the object. For instance, the three vehicles will all have the same mechanical energy at the release point but would not possess the same amount of kinetic energy due to their mass difference. Therefore, they would have different amounts of potential energy when released.

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Which property of waves is possessed by both mechanical and electromagnetic wave A,Energy transport B,interference C,Reflection D,All​

Answers

Answer:

D  All

Explanation:

Mechanical and electromagnetic waves both carry energy. The mechanical wave via the motion/vibration of particles, and the electromagnetic via vibration of the electric and magnetic fields.

We know of interference patterns of light (electromagnetic interference), as well as interference of mechanical waves of water generating typical patterns.

Both, electromagnetic and mechanical waves go through the process of reflection when hitting a barrier (mirror for example in the case of light, and a solid wall for example in the case of water waves.

So the correct answer is "All of the above"

how to find initial velocity without acceleration

Answers

Answer:

actually you can't find it without acceleration.

you need to use one of these three equations

1- Vf = Vi + at

2- 2ad = Vf^2 - Vi^2

3- d = Vit + 1/2 at^2

A Goodyear blimp typically contains 4700 m^3 of helium at an absolute pressure 1.05 x 10^5 Pa. The temperature of the helium is 273K. What is the mass (in kg) of the helium in the blimp

Answers

The mass of helium in the Goodyear blimp is approximately 0.8088 kg.

To calculate the mass of helium in the Goodyear blimp, we can use the ideal gas law, which relates the pressure, volume, temperature, and number of moles of a gas.

The ideal gas law can be written as:

PV = nRT

where P is the absolute pressure of the gas, V is the volume of the gas, n is the number of moles of the gas, R is the universal gas constant, and T is the temperature of the gas in Kelvin.

Rearranging the equation to solve for n, we get:

n = PV / RT

Substituting the given values, we get:

n = (1.05 x 10^5 Pa) x (4700 m^3) / [(8.31 J/mol·K) x (273 K)]

Simplifying, we get:

n = 202.2 mol

The mass of helium can be calculated using the molar mass of helium, which is approximately 4 grams per mole.

Therefore, the mass of helium in the blimp is:

mass = n x molar massmass = (202.2 mol) x (4 g/mol)mass = 808.8 g or 0.8088 kg

The mass of helium in the Goodyear blimp is approximately 0.8088 kg.

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A cyclist accelerates from 0 m/s to 8 m/s in 3 seconds. What is her acceleration? Is the acceleration higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds? How do you know?

Answers

Answer:

Acceleration of one cyclist=\(2.67m/s^2\)

Yes, the acceleration is higher of another cyclist who accelerates from 0 to 30 m/s in 8 seconds.

Explanation:

We are given that

Initial velocity of one cyclist, u=0 m/s

Final velocity of one cyclist, v=8m/s

Time, t=3 s

Initial velocity of another cyclist, u'=0

Final velocity of another cyclist, v'=30m/s

Time, t'=8 s

We know that

Acceleration, \(a=\frac{v-u}{t}\)

Using the formula

\(a=\frac{8-0}{3}=\frac{8}{3}=2.67m/s^2\)

Acceleration of one cyclist=\(2.67m/s^2\)

Acceleration of another cyclist, a'=\(\frac{30-0}{8}m/s^2\)

Acceleration of another cyclist, a'=\(3.75m/s^2\)

Yes, the acceleration of another cyclist is higher than the cyclist which accelerates from 0m/s to 8m/s.

Help!!
I need correct answer:)​

Help!!I need correct answer:)

Answers

Answer:

4 independent of l and area of cross section

Option D

It's independent of.lemgth or area of cross section of the wire.

As

Breaking stree depends upon the material of the wire .

que tipo de onda son los rayos gamma

Answers

Answer:

onda electromagnética

a computer to be used in a satellite must be able to withstand accelerations of up to 22 times the acceleration due to gravity. in a test to see whether it meets this specification, the computer is bolted to a frame that is vibrated back and forth in simple harmonic motion at a frequency of 8.96 hz. what is the minimum amplitude of vibration that must be used in this test?

Answers

The minimum amplitude of vibration that must be used in this test is  9.7 cm.

Solution:

f = 8.3 Hz

so for it to withstand 27g acceleration maximum acceleration in SHM must be 27g which will be at amplitude x=A (say)

x = Acos 27ft

and double differentiating it we get

\(a = -(2\pi f)^{2} x\)

x = A

so A = -a/((2*pi*f)^2) = -27*9.8/((2*pi*8.3)^2) = -0.097m = -9.7cm

So the amplitude is 9.7 cm.

The maximum deviation of a repetitive quantity from its mean or equilibrium value. B. Vibrating body position, pressure, velocity, voltage, current, and many more. Amplitude modulation is the process by which a wave signal is transmitted by modulating the amplitude of the signal. This is often called AM and is commonly used to transmit information over a radio carrier. Amplitude modulation is most commonly used in electronic communication. A wave of any frequency can have zero amplitude. Such waves are everywhere and always pass by us undetected.

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a object 1.5cm high produces a real image 2cm high. placed at a distance of 20cm
from a concave mirror calculate: [a] the position of the image [b] focal lenght of the concave mirror

Answers

Answer:

a. 26.7 cm. b. 11.4 cm.

Explanation:

a. We know h'/h = d'/d where h' = image height = + 2 cm (since it is a real image), h = object height = + 1.5 cm, d' = image distance from mirror and d = object distance from mirror = 20 cm

So, from h'/h = d'/d

d = h'd/h

= 2 cm × 20 cm/1.5 cm

= 40/1.5 cm

=  26.67 cm

≅ 26.7 cm

The position of the image is 26.7 cm from the mirror

b. Using the mirror formula

1/d + 1/d' = 1/f where d = object distance from mirror = + 20 cm, d' = image distance from mirror = + 26.7 cm (its positive since its a real image) and f = focal length of mirror.

So, 1/d + 1/d' = 1/f

⇒ f = dd'/(d + d')

= 20 cm × 26.7 cm/(20 cm + 26.7 cm)

= 534/46.7

= 11.43 cm

≅ 11.4 cm

The focal length of the mirror is 11.4 cm

Copernicus said that t he rotation of the Earth on its axis caused the A. daily motions in the heavens. B. phases of the Moon. C. retrograde motion of the planets D. eclipses of the Moon. E. motion of the Sun along the ecliptic

Answers

Copernicus said that t he rotation of the Earth on its axis caused the daily motions in the heavens.

Copernicus proposed the heliocentric model of the solar system, which was a significant shift from the previously accepted geocentric model. He suggested that the sun was at the center of the solar system, and the planets, including Earth, revolved around it.

Copernicus also recognized that the Earth rotated on its axis, which explained the apparent daily motion of the stars in the sky. This was a fundamental insight that contributed to our understanding of the universe and paved the way for further discoveries in astronomy.

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Mass and weight are different.mass depends on………., And weight depends on…………

Answers

Answer:

Matter, Force

Explanation:

In scientific contexts, mass is the amount of "matter" in an object (though "matter" may be difficult to define) whereas weight is the force exerted on an object by gravity. Objects on the surface of the Earth have weight, although sometimes the weight is difficult to measure.

Particles q1 = -20.5 UC, q2 = -9.30 uC, and q3 = -31.6.0 uC are in a line. Particles q, and q2 are separated by 0.980 m and particles q2 and q3 are separated by 0.750 m. What is the net force on particle q2?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right

Answers

The net force on particle q2 can be calculated by finding the net electric force acting on it. The net electric force acting on a particle is the vector sum of the forces exerted by all the other charges on it.

The electric force between two charges q1 and q2 is given by Coulomb's law: F = k * (q1 * q2)/r^2, where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.

The force on particle q2 due to q1 will be:

F1 = k * (q1 * q2) / (0.980m)^2

The force on particle q2 due to q3 will be:

F2 = k * (q2 * q3) / (0.750m)^2

The net force acting on q2 will be the vector sum of F1 and F2.

Keep in mind, q1 and q3 have opposite charges, so they attract each other, while q2 has the same charge as q1, so they repel each other.

Note: The unit of charge is Coulomb (C), but in this problem you are given the charges in microCoulomb (uC) so you need to convert it to Coulomb.

man of height 1.6 meters walks away from a 5- meter lamppost at a speed of 1.1 m/s. Find the rate at which his shadow is increasing in length.

Answers

man of height 1.6 meters walks away from a 5- meter lamppost at a speed of 1.1 m/s.  The rate at which the man's shadow is increasing in length is 1.1 meters per second.

Let's consider the situation as a similar triangles problem. We have a vertical triangle formed by the man, the lamppost, and their shadows. The height of the man corresponds to the height of his shadow, and the distance between the man and the lamppost corresponds to the length of his shadow.

Since the triangles are similar, the ratios of corresponding sides are equal. Let's define the length of the man's shadow as s and the rate at which his shadow is increasing in length as ds/dt.

According to the similar triangles, we can set up the following proportion:

(s + h) / h = (x + 5) / x

Here, h represents the height of the man, x represents the distance between the man and the lamppost, and s + h represents the total length of the shadow (including the man's height).

We differentiate both sides of the equation with respect to time (t):

ds/dt + dh/dt = (1 + 5/x) * dx/dt

Since the man's height (h) is constant, dh/dt is zero. The distance between the man and the lamppost (x) is also constant, as the man is walking away at a steady speed. Therefore, dx/dt is equal to the man's speed, which is given as 1.1 m/s.

Plugging in the values:

ds/dt + 0 = (1 + 5/x) * 1.1

Simplifying the equation:

ds/dt = (1 + 5/x) * 1.1

Now, we need to find the value of x. Since the man's height is 1.6 meters and he is walking away from a 5-meter lamppost, the initial value of x is 5.6 meters.

Plugging in the value of x:

ds/dt = (1 + 5/5.6) * 1.1

ds/dt = (1 + 0.892857) * 1.1

ds/dt = 1.892857 * 1.1

ds/dt ≈ 2.08 meters per second

The rate at which the man's shadow is increasing in length is approximately 2.08 meters per second.

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Suppose that static friction between ball and track were negligible so that the ball slid instead of rolling. Describe the speed of the ball at the top of the loop in this situation.

Answers

If the static friction between ball and track were negligible so that the ball slid instead of rolling, then the kinetic energy of the ball decreases, so the speed of the ball reduces and the ball might not even make it to the top of the loop if there is not enough initial speed or enough height to overcome the frictional forces.

If the static friction between the ball and the track were negligible and the ball were sliding instead of rolling, the ball would lose energy due to frictional forces. As the ball moves up the track towards the top of the loop, it would experience an increase in potential energy and a decrease in kinetic energy.

This would cause the ball to slow down and lose speed. Therefore, the speed of the ball at the top of the loop would be less than if there were static friction present and the ball were rolling. In fact, the ball might not even make it to the top of the loop if there is not enough initial speed or enough height to overcome the frictional forces.

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in order to avoid being hit in the rear by another vehicle, you should do which of the following?

Answers

Answer:

Hmm wheres the choices?

Explanation:


You drive your car for 2.0 h at 40.0 km/h, then for 2.0 h at 60.0 km/h. What is your average
velocity?

Answers

Answer:

Simple as 50 km/h

Explanation:

Since the average being measured is of the hours and not distance, it is simply (60+40)/(2+2)

The half-life of iodine-131 is 8.07 days. If 0.25 g are left after 40.35 days, how many gramswere in the original sample?

Answers

Given data

*The half-life of iodine-131 is t = 8.07 days

*The amount of quantity left is N = 0.25 g

*The number of days is T = 40.35 days

The expression for the radioactivity decay is given as

\(N=N_0(\frac{1}{2})^{\frac{T}{t}}\)

Substitute the values in the above expression as

\(\begin{gathered} \text{0}.25=N_0(\frac{1}{2})^{\frac{40.35}{8.07}} \\ N_0=8\text{ g} \end{gathered}\)

Answer:

See below

Explanation:

40.35 days / (8.07 day per half life) = 5 half lives

.25 = x ( 1/2)^5

.25 / ( 1/2)^5 = x = 8 gm originally

a cylinder is measured to have a diameter of 3.5 inches, and a length of 5.6 cm. its mass is 1600 grams. calculate its density in kg/m3.

Answers

The density of the cylinder is 14100 kg/m³. The result is obtained by using the formula for density.

What is the density of a substance?

The density is the mass of a substance per unit of volume. It can be expressed as

ρ = m/V

Where

ρ = densitym = massV = volume

A cylinder is measured to have

Diameter, d = 3.5 inchesLength, l = 5.6 cmMass, m = 1600 grams

Find its density in kg/m³!

The radius of the cylinder is

r = ½d

r = ½(3.5)

r = 1.75 inches

r = 1.75 × 2.54 cm

r = 4.4 cm

We find the volume of the cylinder.

V = ⅓ πr²l

V = ⅓ (3.14))(4.4)²(5.6)

V = 113.5 cm³

The density will be

ρ = m/V

ρ = 1600/113.5

ρ = 14.1 g/cm³

Let's convert the unit of density to kg/m³!

ρ = 14.1 × 1/1000 × 1000000/1 kg/m³

ρ = 14100 kg/m³

Hence, the cylinder has the density of 14100 kg/m³.

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question on file pls state the direction and the force in newtons

question on file pls state the direction and the force in newtons

Answers

Answer: 6.083N at  -80.538 degrees

Explanation:

Force is a vector so there is magnitude and direction

1. Find the net force in each direction.

net force (y) = everything up (positive y direction) - everything down (negative y)

= 9-3 = 6N

net force (x) = everything right - everything left

= 5-6 = -1N

These are the components of the net force on the object.

r = <-1, 6>

r is the vector of the force.

We can find magnitude by using the Pythagorean theorem.

sqrt( 1^2 + 6^2) = sqrt 37 or 6.083N

to find the direction we can use trig identities

tan(theta) = y/x

tan^-1 (y/x) = theta

tan^-1(6/-1) = -80.538 degrees.

when a cold ice cube is dropped into a warm cup of water, energy is transferred as heat from the ice to the water. group of answer choices true false

Answers

The given statement " when a cold ice cube is dropped into a warm cup of water, energy is transferred as heat from the ice to the water." is true. This is because  When a cold ice cube is dropped into a warm cup of water, heat flows from the warmer water to the colder ice cube until they reach thermal equilibrium, i.e., the same temperature.

Heat transfer occurs when there is a temperature difference between two objects or systems. In this scenario, the ice cube is at a lower temperature than the warm cup of water. Therefore, heat will flow from the warmer water to the colder ice cube until both objects reach the same temperature, which is the point of thermal equilibrium. This heat transfer occurs through a process called conduction, which involves the transfer of heat through molecular collisions between the two objects in contact. As the ice cube absorbs heat from the water, it will start to melt and eventually reach the same temperature as the water. The amount of heat transferred can be calculated using the specific heat of water and ice, and the masses and initial temperatures of the two substances.

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WILL BRAINLIETS EASY Who created law of gravity who created brainly also will anyone be my gf im 16

Answers

Answer:

Sir Isaac Newton created law of gravity, Michał Borkowski, Tomasz Kraus, and Łukasz Haluch made Brainly

Explanation:

Answer:

Sir Isaac NewtonMichał Borkowski,Łukasz Haluch,Tomasz Krausumm ok.

Explanation:

:)

Which TWO statements about the substances in this experiment are true?

A. Water has a higher surface tension than vegetable oil
B. Isopropyl alcohol boils more easily than water
C. Adding salt to water increases surface tension
D. Adding salt to water decreases surface tension

Answers

Answer:

a and b

water has a higher surface tension than veg oil

isopropyl alcohol boils more esier than water

Explanation:

just did the test trust me :)

A and B statement is true about the substances in this experiment.

A. Water has a higher surface tension than vegetable oil.

B. Isopropyl alcohol boils more easily than water.

What is substance?

A substance is a specific type of stuff with specific features. A substance is any pure compound or element. Water is a pure material and a hydrogen-oxygen combination.

A. Water has a higher surface tension than vegetable oil.

Reason:

The force operating at a border between two phases is measured as surface tension. Surface tension at liquid-air interfaces is caused by the higher attraction of liquid molecules to each other than air molecules.

Due to the relatively strong attraction of water. Hence molecules of water have high surface tension.

B.. Isopropyl alcohol boils more easily than water.

Reason:

isopropyl alcohol is a highly flammable liquid that evaporates significantly faster than water, especially when heated. The boiling point of isopropyl alcohol is lower than that of water.

Alcohol is more volatile than water. Hence Isopropyl alcohol boils more easily than water.

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This type of bike tire is thinner, lighter, more expensive, and punctures easily.

Answers

There are 3, Tubular, Clincher, and tubeless.

determine the moment of each of the three forces about point b MF1(B)=? MF2(B)=? MF3(B)=?

Answers

MF1(B)= 149.52 N - m, MF2(B)= 600 N - m, MF3(B)= ON - m.

Explain about force?

Force is a vector quantity that is defined as the rate of change of momentum of an object with respect to time. It is measured in Newtons (N) and is the product of mass and acceleration, according to Newton's second law of motion. Force can be applied by pushing, pulling, or twisting an object and can be used to create motion, stop motion, or change the direction of motion. Force can also influence the shape of an object through compression, tension, and shear.

(MF₁) B = F₁ cos 30° (3) – F₁ sin 30° (4)

           = 250 cos 30° (3) — 250 sin 30° (4)

           = 649.52 - 500

           = 149.52 N - m

(MF₂) B = F₂ cos 60° (4) – F₂ sin 60° (0)

            = 300 cos 60° (4) — 300 sin 60° (0)

            = 600 - 0

            = 600 N - m

As the force F3 passes through point B, moment of the force F3 about point B is zero.

(MF3)B = ON - m

Therefore, MF1(B)= 149.52 N - m, MF2(B)= 600 N - m, MF3(B)= ON - m is the answer.

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A car Starts from rest and moves with constant acceleration.During the 5th second of its motion, it covers a distance of 36 meters. What is the acceleration of the car? A) 12 meter per second B) 8 meter per second C) 15 meter per second D) 16 meter per second E) 14 meter per second

Answers

Answer:

Acceleration of the car = 2.88 meter/second²

Explanation:

Given:

Car starts from rest

So,

Initial velocity = 0 m/s

Time taken = 5 second

Distance cover in 5 seconds = 36 meter

Find;

Acceleration of the car

Computation:

Using second equation of motion

S = ut + (1/2)(a)(t²)

Where;

S = Distance cover

u = Initial velocity

a = Acceleration

t = time taken

So,

S = ut + (1/2)(a)(t²)

36 = (0)(5) + (1/2)(a)(5²)

36 = (1/2)(a)(25)

36 x 2 = (a)(25)

72 = (a)(25)

Acceleration of the car = 2.88 meter/second²

reason why the clinical thermometer has a long cylindrical bulb and not spherical bulb​

Answers

Answer: One of the factors of the rate of heat transfer is the amount of surface area contact of the thermometer and the object whose temperature is being measured. By using a cylindrical bulb, rather than a spherical bulb, the time to get an accurate temperature is reduced. hope this helps. Can u give me brainliest

Explanation:

Answer:

it is because by using a cylindrical bulb,rather than a spherical bulb,the time to get to an accurate temperature is reduced. If you place the bulb of a mercury thermometer made of glass in boiling water you can see that the column of the mecury falls before rising

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A spark-ignition engine has a compression ratio of 8, an isentropic compression efficiency of 85 percent, and an isentropic expansion efficiency of 95 percent. At the beginning of the compression, the air in the cylinder is at 13 psia and 60F. The maximum gas temperature is found to be 2300F by measurement. Determine the heat supplied per unit mass, the thermal efficiency, and the mean effective pressure of this engine when modeled with the Otto cycle. Use constant specific heats at room temperature. 1. The dependent variable is also called which of the following?O responsiveO respondingO manipulatedO manipulator 2. The independent variable is also called which of the following?O ResponsiveO RespondingO ManipulatedO ManipulatorPLEASE HELP FAST!!! Im timed Place a checkmark next to each device used in the sentence: "The clouds growled and spit rain on us all evening, making us scatter like roaches into our apartments." Q8. Design a module-7-counter by using the 74LS161. (a) Suppose we have preferences U(X, Y) = X1 Y3. Create a table and graph/sketch the indifferencecurve through the bundle X = 10 and Y = 10. What is the utility at (10, 10)?(b) The Marginal Rate of Substitution is MRSXY = - Y/3X. Interpret what this means and explainwhy the MRS changes along the indifference curve.(c) Let prices be Px = $5, Py = $10 and income M = $500. Draw/sketch the budget constraint.Explain what the slope of the budget line means in economic terms.(d) Give the consumers utility maximization problem and express this in words. What are the twoconditions (equations) that identify the optimum? Sketch this in a figure and explain.(e) Show and explain why these preferences imply that the consumer will spend of her income onGood X and of her income on Good Y(f) For the income and prices in (c), what is optimal X and Y? Show your work.(g) Suppose Px rises to $6 and Py falls to $8 but income stays at $500. Does consumer utility rise orfall? Show and explain.(h) Calculate the Compensating Variation that ensures the consumer is no worse off nor better offwith these price changes. Show and explain your work What are the 5 steps to the Scientific Method? Two brothers, Rick and Greg, each inherit $48000. Rick invests his inheritance in a savings account with an annual return of 2. 7%, while Greg invests his inheritance in a CD paying 5. 1% annually. How much more money than Rick does Greg have after 1 year? Remember to match Adiabatic, ideal gas, Sealed, Rigid. options: 1. Pressure is constant 2. PV=MRT 3. Volume is constant. 4. Mass is constant 5. PV = MRT 6. Q=0 7. W=0 The reactants for cellular respiration area. glucose and ATP.b. water and ATP.c. oxygen and ATP.d. glucose and oxygen.e. carbon dioxide and glucose. URGENT WILL MARK BRAINLIEST Show your work and solve for x and y.3x + y = 82x + 4y = 12 Maya wants to determine the area of a circle. She uses a compass and ruler to draw a circle that has a radius of r. She then inscribes a regular octagon within the circle, as shown above. The octagon is divided into 8 congruent triangles, and each of the 8 interior angles measure 45.She then labels the height and base of one of the triangles within the circle. She labels the height h, and the base, b.She then makes three claims about her work.Determine whether each claim Maya makes is correct. Select True or False for each claim. If The RNA strand is AUG, what is the protein it produces. through: (-2, -1), slope = -1 maintaining DOT for HIV patients is an example of what level of prevention? James has $45 in his savings account. Each week, he earns and deposits $100 from mowing the family lawns. Write an equation that represents his total, y, after x weeks. How does animal testing effect us or the society Which of these is the standard force unit in the metric system? A) joule B) pound C) newton D) kilogram What value(s) for n will make this expression true?3.5 and -3.53.5 onlynl = 3.50 and 3.5-3.5 only a number z is few then 3/4 answer Consider a stock currently trading at $10, with expected annualreturn of 15% and annual volatility of 0.2. Under our standardassumption about the evolution of stock prices, what is theprobability t