Water has a density that is 13.6 times less than that of mercury. how high would a column of water need to be to measure a pressure of 1 atm?

Final answer:

The magnitude of the friction force opposing the filing cabinet is 200 N, equal to the applied force, since it does not exceed the maximum static frictional force of 235.2 N calculated using the coefficient of static friction and the normal force.

Explanation:

The magnitude of the friction force on the filing cabinet can be determined by using the coefficient of static friction and the normal force acting on the cabinet. Since the cabinet is not moving, the static frictional force will be equal to the force applied until it reaches its maximum value, which can be calculated as μs N, where μs is the coefficient of static friction and N is the normal force. The normal force is equal to the weight of the cabinet (mass times the acceleration due to gravity, g). For a 30 kg filing cabinet, the normal force N is equal to 30 kg × 9.8 m/s², which equals 294 N. Hence, the maximum static frictional force is 0.80 × 294 N = 235.2 N. Since the cabinet does not move when a 200 N force is applied, the frictional force opposing it is also 200 N, which is less than the maximum static friction of 235.2 N.

Final answer:

The friction force on the filing cabinet is 200 N, which is the same as the applied force and within the maximum static friction value given by the coefficient of static friction multiplied by the normal force.

Explanation:

The magnitude of the friction force on the filing cabinet can be found by using the coefficient of static friction and the normal force. The normal force is equal to the weight of the cabinet, which is the mass (30 kg) multiplied by the acceleration due to gravity (9.8 m/s²). This gives a normal force of (30 kg)(9.8 m/s²) = 294 N. The maximum static friction force can be calculated with the formula fs(max) = μs N, where μs is the coefficient of static friction and N is the normal force. Since the cabinet doesn't move, the static friction force must equal the applied force up to its maximum value, which is determined by the coefficient of static friction (0.80).

Therefore, the maximum static friction force that can act on the filing cabinet is fs(max) = (0.80)(294 N) = 235.2 N. Since 200 N is being applied to move the cabinet, and it does not move, the friction force acting on the cabinet is 200 N, which is the same as the applied force and less than the maximum static friction force.

Answer:

Gravity

Explanation:

When we say that object is in free fall then it always means that the object will move under the influence of gravitational force only

So here we can say that

under free fall condition the force on the object is given as

[tex]F = mg[/tex]

so the acceleration of free fall is always constant and given as

[tex]a = \frac{F}{m}[/tex]

[tex]a = \frac{mg}{m}[/tex]

[tex]a = g[/tex]

so correct answer is

Gravity

The coefficient of kinetic friction is approximately 0.176.

To calculate the coefficient of kinetic friction, we need to use the formula:

frictional force = coefficient of kinetic friction × normal force

We also know that the frictional force is equal to the product of mass and acceleration:

frictional force = mass × acceleration

By equating the two expressions for frictional force, we can solve for the coefficient of kinetic friction:

coefficient of kinetic friction = (mass × acceleration) / (mass × gravity)

Plugging in the given values, we have:

coefficient of kinetic friction = (30 kg × 0.52 m/s²) / (30 kg × 9.8 m/s²)

coefficient of kinetic friction ≈ 0.176

The coefficient of kinetic friction is approximately 0.176. To determine this, we can use the formula: frictional force = coefficient of kinetic friction × normal force.

To calculate the coefficient of kinetic friction, we need to use the formula:

Frictional force = coefficient of kinetic friction × normal force

We also know that the frictional force is equal to the product of mass and acceleration:

Frictional force = mass × acceleration

By equating the two expressions for frictional force, we can solve for the coefficient of kinetic friction:

Coefficient of kinetic friction = (mass × acceleration) / (mass × gravity)

Plugging in the given values, we have:

Coefficient of kinetic friction = (30 kg × 0.52 m/s²) / (30 kg × 9.8 m/s²)

Coefficient of kinetic friction ≈ 0.176

Final answer:

To calculate the speed of the car when it drove off the cliff, we used projectile motion equations to solve for the time it took to hit the ground and then found the horizontal velocity with this time and the given horizontal distance.

Explanation:

To determine the speed at which the car was traveling when it went off the cliff, we can use the kinematic equations for projectile motion. Given that the car falls from a height of 40.8 m and lands 121 m away from the base of the cliff, we can first calculate the time it took for the car to hit the ground using the equation for vertical motion under constant acceleration due to gravity (g = 9.8 m/s²). The vertical motion is independent of the horizontal motion, so:

y = ½ gt², where y is the vertical displacement and t is the time.

Using this equation, we solve for t:

40.8 m = ½ (9.8 m/s²) t²

t = √((2 * 40.8 m) / 9.8 m/s²)

After calculating the time, t, we can then use the horizontal distance travelled and the time of flight to find the horizontal velocity (v):

x = v * t, where x is the horizontal displacement.

Now we substitute the previously calculated time t in the equation to find the horizontal velocity (which is also the initial velocity since there is no horizontal acceleration):

v = x / t

v = 121 m / t

This gives us the car's speed as it left the cliff.

Helium only has 2 electrons. So the answer is C. 2

The wavelength of an infrared wave with a given frequency is 7.14 x 10⁻⁵ m.

Frequency is the number of cycles per second moved by the wave.

The frequency and wavelength is related as

λ = c/f

where c = velocity of sound wave in vacuum = 3×10⁸ m/s

Given is the frequency of the infrared wave f = 4.2×10^14, then wavelength will be

λ = 3 x10⁸ / 4.2 x 1

λ = 7.14 x 10⁻⁵ m

Thus, the wavelength  of an infrared wave with a given frequency is 7.14 x 10⁻⁵ m

Learn more about frequency.

https://brainly.com/question/14320803

#SPJ2

The weight on Jupiter of a man if man weighs 1190 N on earth. Where the free-fall acceleration is 25.9 m / s² is 3144.26 N.

Acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration of all other motions.

Given:

The weight of the man, F = 1190 N,

The acceleration, a = 25.9 m / s²,

Calculate the mass of the man by the formula given below,

[tex]F = ma[/tex]

1190 = m × 9.8 m / s²

m = 121.4 kg

Calculate the weight of a man on Jupiter by the formula given below,

[tex]F = ma[/tex]

F = 121.4 × 25.9

F = 3144.26 N

Therefore, the weight on Jupiter of a man if man weighs 1190 n on earth. Where the free-fall acceleration is 25.9 m / s² is 3144.26 N.

To know more about acceleration:

https://brainly.com/question/2303856

#SPJ5

Answer:

The answer is reverse osmosis!

Explanation:

I chose this on a test and got it right

The time required for the footprint left by the Apollo astronaut to be erased is [tex]\fbox{\begin\\1010\,{\text{million}}\,{\text{yr}}\end{minispace}}[/tex].

Further explanation:

Some astronauts went to the moon to know about the moon. They walk on the surface of moon that’s why their footprints left there. It took time to erase the footprints.

Given:

The number of micrometeorites hitting the moon in one day is [tex]25 \times {10^6}[/tex].

The area of footprint is [tex]0.03\,{{\text{m}}^{\text{2}}}[/tex].

The surface area of moon is [tex]3.79 \times {10^{19}}\,{{\text{m}}^{\text{2}}}[/tex].

Concept used:

When footprints hit the surface of moon it got impacted.

The expression for the number of micrometeorites hitting the surface area of footprints in one day is given as.

[tex]\fbox{\begin\\n = \dfrac{N}{{{A_{{\text{moon}}}}}}{A_{{\text{footprint}}}}\end{minispace}}[/tex]                                   …… (1)

Here, [tex]N[/tex] is the number of micrometeorites hitting the moon in one day, [tex]{A_{{\text{moon}}}}[/tex] is the surface area of moon and [tex]{A_{{\text{footprint}}}}[/tex] is the surface area of footprint.

The expression for the time to receive impacts on footprints.

[tex]\fbox{\begin\\T = \dfrac{{20}}{n}\end{minispace}}[/tex]                                                                                 …… (2)

Substitute [tex]25 \times {10^6}[/tex] for [tex]N[/tex], [tex]0.03\, {{\text{m}}^{\text{2}}}[/tex] for [tex]{A_{{\text{footprint}}}}[/tex] and in equation (1).

[tex]\begin{aligned}n &= \frac{{\left( {25 \times {{10}^6}} \right)}}{{\left( {3.79 \times {{10}^{19}}\,{{\text{m}}^{\text{2}}}}\right)}}\left({0.03\,{{\text{m}}^{\text{2}}}\right)\\&=1.979\times{10^{-8}}\\\end{aligned}[/tex]

This means that the footprints receive [tex]1.979 \times {10^{ - 8}}[/tex] number of micrometeorites or impacts per day.

[tex]20[/tex] Impacts are required to erase the footprint in one day.

The expression for the time required to erase the footprints is given in equation (2).

Substitute [tex]1.979 \times {10^{ - 8}}[/tex]for [tex]n[/tex] in equation (2).

[tex]\begin{aligned}T &= \frac{{20}}{{\left( {1.979 \times {{10}^{-8}}}\right)}}\\&=1.010\times{10^9}\,{\text{days}}\\\end{aligned}[/tex]

Thus, it can be given in million years as [tex]\fbox{1010\,{\text{million}}\,{\text{yr}}}[/tex].

Learn more:

1.  Motion of ball under gravity https://brainly.com/question/10934170.

2.  Examples of wind and solar energy https://brainly.com/question/1062501.

3. Conservation of momentum https://brainly.com/question/9575487.

Answer Details:

Grade: College

Subject: Physics

Chapter: Astronomy  

Keywords:

Moon, meteorites, footprints, impact, surface area, 20 impacts, micrometeorites, 25 million  micrometeorites, 1010 million year,1.010*10^9 days .

Final answer:

A negatively charged rubber rod can pick up small, neutrally charged pieces of paper through polarization, causing a redistribution of charges within the paper. This induces a dipole moment, leading to attraction despite the paper's overall neutral charge.

Explanation:

A negatively charged rubber rod can pick up small, neutrally charged pieces of paper by a process called polarization. This phenomenon occurs because the negatively charged rod causes a redistribution of charges within the neutral paper, inducing a dipole moment. The paper, though overall neutral, has its charges slightly shifted: the side closer to the rod becomes positively charged due to the attraction of electrons towards the rod, and the far side becomes more negatively charged. The closer, positively charged side of the paper is then attracted more strongly to the negatively charged rod than the repulsion experienced by the more distant, negatively charged side, resulting in the net attraction of the paper to the rod. This effect is not limited to rubber rods and paper; it can be demonstrated with various insulators and small objects. The key to this attraction is the electrostatic force and the principle that opposite charges attract. The rubber rod, after being charged (usually by friction with another material like fur), exhibits this charge inducing behavior due to the presence of excess electrons. Some molecules, like water, are naturally polar and show greater polarization effects than molecules with naturally uniform charge distributions when in the presence of charged objects. Thus, the same principle applies to the attraction of neutrally charged objects that have polar molecules.

The minimum kinetic energy needed to excite a cesium atom by a collision with an oxygen atom can be calculated using the conservation of energy principle.

The minimum amount of kinetic energy a particle must have to excite another particle can be calculated using the conservation of energy principle and the equation for kinetic energy. In this case, we are considering the collision between an oxygen atom (O) and a cesium atom (Cs). The formula for calculating the minimum kinetic energy is:

K.E. = (2 * activation energy) + ionization energy

The activation energy is the minimum energy required to initiate the reaction, and the ionization energy is the energy required to remove an electron from an atom. To calculate the specific values for this equation, we need to know the activation energy and the ionization energy of the cesium atom.

https://brainly.com/question/26472013

#SPJ3

Answer:

Poet Kuangchi Chang did not remain in China long enough to be "re-educated." Following the Communist takeover he fled to the United States. His poem "Garden of My Childhood" describes China before the revolution as a peaceful, idyllic garden with a violent horde rapidly approaching. A vine, the wind, and the sea are each personified, and each beckons for him to run. It is not until "eons later," when he is "worlds away," that his "running is all done," and he finds himself at his destination: another garden, just like the one he had left behind.

The solar panel absorbs light energy and converts it into electrical energy. When this electrical energy reaches the incandescent light bulb, it is then transformed into thermal energy and light energy.

In the system, light energy from the sunlight causes the solar panel to create electrical energy which flows into the incandescent light bulb. In the light bulb, the electrical energy is transformed into two different types of energy: thermal energy and light energy.

Firstly, the solar panel absorbs light energy, also known as solar energy, and through a process called photovoltaic effect, it transforms this energy into electrical energy. This electrical energy then travels into the incandescent light bulb. Within the bulb, this electric energy is converted into thermal (heat) energy - this is the reason why light bulbs can get very hot. The heat then produces light energy, which is what we ultimately see and perceive as the functioning of a light bulb.

https://brainly.com/question/8210521

#SPJ2

The answer is A The amount of charge on A is greater than that on B.

The global average height for an adult male is 171 centimeters (5 feet 7 inches) and the average height for an adult female is 159 centimeters (5 feet 2 inches).

It is important to note that these are just averages and there will be a range of heights within each country. For example, in the United States, the shortest 10% of men are less than 163 cm (5 ft 4 in) tall and the tallest 10% of men are more than 185 cm (6 ft 1 in) tall. The same is true for women.

The average height of an adult person has been increasing over time due to a number of factors, including improved nutrition and better healthcare.

Find out more on height here: https://brainly.com/question/30400856

#SPJ2

Answer:

D

Explanation:

In order to be classified as an organic compound, the compound must contain carbon. Of the options available, only option D includes a sample that contains carbon.

Organic compounds often contain C, H, and O atoms, such as ethanol, CH₃OH.

The phrase 'a push or pull exerted on an object' defines the concept of force in Physics. This interaction can change the motion of an object. Force is quantified by Newton's Second Law of Motion.

The phrase 'a push or pull exerted on an object' is a basic definition of the concept of force in physics. Force represents any interaction that, when unopposed, will change the motion of an object. For example, if you push a stationary car, assuming the car is on a level surface and ignoring friction, the car would start to move - you have exerted a force on it. Conversely, if you pull a moving car to a stop, you have also exerted a force.

In more technical terms, a push or a pull on an object is described quantitatively by Newton's Second Law of Motion: Force equals mass times acceleration (F = ma). Here, the force (the push or pull) results in an acceleration of the object, which is directly proportional to the force and inversely proportional to the object's mass.

https://brainly.com/question/36258739

#SPJ6