A U-tube contains some mercury.13.8 cm of water is added to one
side of the U-tube.
Find how high the mercury rises on the other side from its
original level. Use 13.6 g/cm3g/cm3 as the density of mer

Take into account that the vertical final velocity of the projectile is given by:

Now, consider that at the peak of the trajectory, the vertical final velocity is zero. Moreover:

Then, by solving for y into the equation for vy^2, you obtain:

where g = 9.8m/s^2 is the gravitational acceleration constant.

By using the given values for the angle and vo you obtain for the height of the peak y:

Hence, the height of the peak of the projectil trajectory is approximately 40.36 m

Answer:

Real answer is im sorry if im wrong

Explanation:

A 53°

The value of the angle Θ will be 51.3°. Option C is correct.

It is concerned with the geometry, region, and density of various 2D and 3D shapes.

From snell's law;

\(\rm n= \frac{sini}{sinr} \\\\ 0.8= \frac{sin(90-\theta)}{sin \theta} \\\\ 0.8= cot \theta \\\\ \theta= cot^{-1} (0.8)\\\\ \theta =51.3^0\)

The value of the angle Θ will be 51.3°.

Hence,option C is correct.

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Let's take this problem step-by-step:

What does this problem want to solve:

 ⇒ find two pendulums that will swing back and forth in the least amount

     of time

Therefore:

 ⇒ must find the equation that calculates that period or swing time of a

     pendulum

     Equation: \(T = 2\pi \sqrt{\frac{L}{g} }\)

Based on the equation:

  ⇒ the longer the string is ⇒ the greater the swing time

Thus:

 ⇒ pendulum Y and Z will have the least amount of swing time

Answer: (B)

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Answer:

B. the position of the object

Answer:

an open circuit (A battery, bulb, wire,switch)

Explanation:

the battery supplies the power the wire carries the current from the battery to the bulb but the circuit is not completed if the switch is not connected (Switch )

Answer:

D.

a control group

Explanation:

In a scientific experiment such as the one above, there is an experimental group and a control group. The experimental group is the group that receives the treatment while the control group does not receive any treatment. The control group helps the researcher to observe if the treatment had any significant effect.

In this case, it will help Alan and Monica to determine if fertilizer X actually had an effect on the plant. Therefore, the pot with o grams of fertilizer in it is the control group.

The correct answers to the conversions in the task above are as follows:

The degrees celsius is a scale grade which is used to define two different points. This scale system for instance works on the principle of zero degrees (0°) for the freezing point of water and hundred degrees (100°) for the boiling point of water.

From the task given above on converting 0.020kg to g,

Recall:

1000g = 1kg

to convert 0.020kg to grams

then we will have

1000g = 1kg

x = 0.020kg

Cross multiplying

x = 1000 × 0.020

= 20.

This means that we have 20g in 0.020kg.

In conclusion, we can now confirm from the explanation given above that the symbol of degrees celsius is °C.

Complete question:

Convert the following:

a. 5°C to degrees Fahrenheit =.............°F

b. 15°C to radians = ...............

c. 5400 Fahrenheit to degrees Celsius = .....°

d. 1h15min 27s=...........h=........min=..............

e. 47°k=...........°C

f. 58°k=...........°C

g. 0.020kg=.........g

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a) The work that is done on the book by friction during a displacement of 3.0 m to the left:

The work done by friction is given by the formula:

\(\[ W = F_{\text{friction}} \cdot d \cdot \cos(\theta) \]\)

Plugging in the values:

\(\[ W = (1.8 \, \text{N}) \cdot (3.0 \, \text{m}) \cdot \cos(180^\circ) \]\)

\(\[ W = -5.4 \, \text{J} \]\)

The negative sign indicates that the work done by friction is in the opposite direction of the displacement.

b) During the second 3.0 m displacement to the right, the work done by friction is calculated in the same way.

However, now the angle between the friction force and the direction of displacement is \(\( 0^\circ \)\) because friction is acting in the direction of displacement. So, the cosine of \(\( 0^\circ \)\) is 1.

\(\[ W = (1.8 \, \text{N}) \cdot (3.0 \, \text{m}) \cdot \cos(0^\circ) \]\)

\(\[ W = 5.4 \, \text{J} \]\)

c) The total work done on the book by friction during the complete round trip is the sum of the work done in both displacements:

Total work = Work to the left + Work to the right

Total work = \((-5.4 \, \text{J}) + (5.4 \, \text{J})\)

Total work = \(0 \, \text{J}\)

d) We can infer that the friction force is nonconservative since the total amount of work done by friction over the entire round trip is zero.

A conservative force does not depend on the direction of motion to perform work in its favor or against it since it conserves mechanical energy.

Thus, friction is nonconservative in this situation because it releases mechanical energy as heat and its work relies on the displacement's direction (different directions produce opposing work signs).

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(a) The nuclear symbol for strontium-90 is 90 38 Sr.  
(b) The nuclear symbol for xenon-133 is 133 54 Xe.  
(c) The nuclear symbol for technetium-95 is 95 43 Tc.  
(d) The nuclear symbol for aluminum-25 is 25 13 Al.

Here are the nuclear symbols for each of the given elements:  
(a) Strontium-90: 90 38 Sr  
Strontium has 38 protons in its nucleus. So, the atomic number of strontium is 38. The mass number of strontium-90 is 90. Therefore, the nuclear symbol for strontium-90 is 90 38 Sr.  
(b) Xenon-133: 133 54 Xe  
Xenon has 54 protons in its nucleus. So, the atomic number of xenon is 54. The mass number of xenon-133 is 133. Therefore, the nuclear symbol for xenon-133 is 133 54 Xe.  
(c) Technetium-95: 95 43 Tc  
Technetium has 43 protons in its nucleus. So, the atomic number of technetium is 43. The mass number of technetium-95 is 95. Therefore, the nuclear symbol for technetium-95 is 95 43 Tc.  
(d) Aluminum-25: 25 13 Al  
Aluminum has 13 protons in its nucleus. So, the atomic number of aluminum is 13. The mass number of aluminum-25 is 25. Therefore, the nuclear symbol for aluminum-25 is 25 13 Al.

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So, the impulse of the ball to the wall is -12 N. It have same meaning to 12 N in opposite direction with its initial movement.

Hi ! In this ocassion, I will help you to solve the question about impulses. Impulse also relate to momentum, where the amount of impulse will cause the difference (indicated in units of direction) velocity when an object move. Impulses that have opposite direction to the original direction will have a negative value.

Impulse is the result of a change in momentum, so it can be expressed in this formula :

\(\sf{I = \Delta p}\)

\(\boxed{\sf{\bold{I = m (v' - v_0)}}}\)

With the following condition:

\(\sf{I = m (v' - v_0)}\)

\(\sf{I = 0.15 (-30 - 50)}\)

\(\sf{I = 0.15 (-80)}\)

\(\boxed{\sf{I = -12 \: N.s}}\)

So, the impulse of the ball to the wall is -12 N. It have same meaning to 12 N in opposite direction with its initial movement.

Answer:

99 meters

Explanation:

Apply the distance formula:

\( \displaystyle{s = ut + \dfrac{1}{2} g{t}^{2} }\)

where u is initial velocity which is 0 m/s since there is no initial velocity by dropping an object.

t is time which we know is 4.5 seconds. Finally, g is a constant of acceleration due to gravity which on Earth equals to 9.8 m/s². Therefore:

\( \displaystyle{s = 0 \cdot 4.5 + \dfrac{1}{2}(9.8) {(4.5)}^{2} } \\ \\ \displaystyle{s = \dfrac{1}{2}(9.8) {(4.5)}^{2} } \\ \\ \displaystyle{s \approx 99 \: \text{m}}\)

Therefore, the bridge is around 99 meters height.

Explanation:

A circuit breaker is an automatic switch that cut off current in a circuit when the current become too large. When the current in a circuit increases, the strength of the electromagnet will increase in accordance; this will pull the soft iron armature towards the electromagnet.

Answer: Action and reaction forces are applied to different objects

Explanation:

Answer:

action and reaction forces are applied to different objects

Explanation:

There will be 16,000 N of force between the two charges. It is the force that a charge puts on another charge.

The electric force between two charges is inversely proportional to the square of the distance that separates them and directly proportional to the product of the charges.

The given data in the problem is;

q₁ is the magnitude of charge 1= - 2.0x10⁻⁴ C

q₂ is the magnitude of charge 2 = + 8.0x10⁻⁴ C

k is the proportionality constant = 9 x 10⁹ Nm² / C²

r is the separated distance = 0.30 m

F is the electric force=?

The electric force is found as;

\(\mathrm{F}=\frac{\mathrm{Kq}_1 4 \mathrm{q}_2}{\mathrm{r}^2}\)

\(\mathrm{F}=\frac{9 \times 10^9 \times 2.0 \times 10^{-4}}{(0.30)^2}\)

F = 16,000 N

There will be 16,000 N of force between the two charges.

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Answer:

what is the question ? That is only a statement

The piece of metal with a density of 12.86 g/cm3 and a mass of 63.4 g has a volume of: 4.93 cm3

To solve this problem the density formula and the procedure that we have to use is:

d = m/v

Where:

Information about the problem:

Applying the density formula and clearing the volume we get:

d = m/v

v= m/d

v= 63.4 g/ 12.86 g/cm3

v= 4.93 cm3

It is the space occupied by a body, it is calculated by multiplying its dimensions, for example: length, height and width.

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The force required to move the 90 Kg object at a constant speed of 8.10 m/s is 138.94 N

The force required to keep an object moving in a circle is called Centripetal force. This is defined according to the following equation:

F = mv²/r

With the above formula, we can obtain the force required to move the 90 Kg object. Details below:

F = mv²/r

F = (90 × 8.10²) / 42.5

F = (90 × 65.1) / 42.5

F = 5904.9 / 42.5

F = 138.94 N

Thus, the force required is 138.94 N

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Answer:

The circumference of the bromine atom is 628 pm

Explanation:

The formula for the circumference of a circle is 2πr.

Where π is 3.14 and r is the radius of the circle.

Since atoms have a circular shape. The formula above can be used to determine the circumference of an atom (bromine atom in particular).

circumference of the bromine atom is 2πr (where r is 100 pm)

2 × 3.14 × 100 = 628 pm.

The circumference of the bromine atom is 628 pm

Answer:

Explanation:

what are the statement

Gibb's and Helmholtz equations predicts the direction and spontaneity of chemical reactions.

The Gibbs-Helmholtz equation is a thermodynamic equation that is used to calculate changes in a system's Gibbs free energy as a function of temperature. It explains how the Gibbs free energy, first proposed by Josiah Willard Gibbs, fluctuates with temperature.

Gibb's and Helmholtz equation is given by,

\((\frac{\partial(\frac{G}{T}) }{\partial T} )}}\right)_{p}=-{\frac {H}{T^{2}}},}\)

where T is the absolute temperature, H is the enthalpy, and G is the Gibbs free energy of the system, all under constant pressure p. According to the equation, the change in the G/T ratio under constant pressure as a result of an infinitesimally small change in temperature is a factor H/T2.

There is insufficient information about this problem, however the problem may be like this.

As a result, the direction and spontaneity of chemical processes are predicted by the Gibbs and Helmholtz equations. As a result, the answer is the Gibbs and Helmholtz equations.

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the solution is μk = 0.82.

Given that:μk = f_k /N = f_k w cos25° = f_k m g cos25°

μk can be solved using the formula above;

Substituting known values on the right-hand side of the equation,

μk = 45.0 N (62 kg) (9.80 m/s²) (0.906)

μk = 0.82

Therefore, the solution is μk = 0.82.

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Answer:

To find the y-component of the second car's initial velocity, we can use the principle of conservation of momentum. This principle states that the total momentum of a system remains constant unless there is an external force acting on the system.

In this case, we can consider the two cars as a system, and we can use the principle of conservation of momentum to find the y-component of the second car's initial velocity.

We can write the equation for conservation of momentum as follows:

m1v1 + m2v2 = (m1+m2)*v

Where:

m1 is the mass of the first car (1210 kg)

v1 is the velocity of the first car (15.2 m/s, NE at 45.0°)

m2 is the mass of the second car (1540 kg)

v2 is the velocity of the second car (the unknown we are trying to find)

v is the velocity of the system after the collision (23.3 m/s, E at 0°)

We can use this equation to solve for the y-component of the second car's initial velocity (v2). First, we need to express the velocities in the x and y directions.

For the first car, we have:

v1x = v1 * cos(45°) = 15.2 m/s * cos(45°) = 10.6 m/s

v1y = v1 * sin(45°) = 15.2 m/s * sin(45°) = 10.6 m/s

For the second car, we have:

v2x = v2 * cos(0°) = v2 * 1 = 0 m/s

v2y = v2 * sin(0°) = v2 * 0 = 0 m/s

For the system after the collision, we have:

vx = v * cos(0°) = v * 1 = 23.3 m/s

vy = v * sin(0°) = v * 0 = 0 m/s

Now we can substitute these values into the equation for conservation of momentum and solve for v2y:

m1v1x + m2v2x = (m1+m2)vx

1210 kg * 10.6 m/s + 1540 kg * 0 m/s = (1210 kg + 1540 kg) * 23.3 m/s

12776.6 kgm/s + 0 kgm/s = 2750 kg * 23.3 m/s

12776.6 kgm/s = 2750 kg * 23.3 m/s

m1v1y + m2v2y = (m1+m2)vy

1210 kg * 10.6 m/s + 1540 kg * v2y = (1210 kg + 1540 kg) * 0 m/s

12776.6 kgm/s + 1540 kg * v2y = 0 kgm/s

12776.6 kgm/s = -1540 kg * v2y

v2y = -12776.6 kg*m/s / 1540 kg

v2y = -8.28 m/s

Therefore, the y-component of the second car's initial velocity is approximately -8.28 m/s.

Explanation:

The transfer of warmth (heat) from one item to another is known as heat conduction. Therefore, we can witness heat or thermal conduction when two things with differing temperatures come into touch.

Thus, The heat transfers from the hotter (the cup) to the colder (our hands) object when we contact the hot cup. When we added hot water to the cup that was at normal temperature, thermal conduction also took place.

The object's temperature is actually a measurement of how quickly its atoms are moving. The total energy produced by the atoms' vibrations is measured by the heat.

As a result, the atoms inside it begin to travel more quickly, which inevitably raises the likelihood that they will collide and conduction. It also relies on the density of the material we are working with how much they will clash.

Thus, The transfer of warmth (heat) from one item to another is known as heat conduction. Therefore, we can witness heat or thermal conduction when two things with differing temperatures come into touch.

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Answer:

269 because 150 x/6 =5 kk

Answer:

it took 30 seconds:)

Explanation:

in order to find the time you must divide distance( 150 m) by speed (5 m/s) which equals 30 seconds.

A. The period of vibration is the time it takes for one complete oscillation to occur. It is the reciprocal of the frequency. The period of vibration can be calculated using the formula:

Period = 1/Frequency

Given that the frequency of vibration is 5.0Hz, the period of vibration is:

Period = 1/5.0 s

Period = 0.2 s

B. If the cart's mass is doubled while the spring constant remains unchanged, the frequency of vibration will not change. This is because frequency is dependent on the spring constant and the mass of the cart and not on the amplitude of the oscillation.

C. If the spring constant doubles while the cart's mass remains the same, the frequency of vibration will also double. This is because frequency is directly proportional to the square root of the spring constant. Therefore, doubling the spring constant would lead to an increase in the frequency of vibration by a factor of square root of 2.

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The range of possible speeds when a car speedometer reads 100 km/h with a 3% uncertainty is 97 km/h to 103 km/h.

When a car speedometer has a 3% uncertainty, it means that the displayed speed can deviate by 3% from the actual speed. In this case, if the speedometer reads 100 km/h, the actual speed could be either lower or higher. For calculating the range of possible speeds, need to find the 3% deviation from 100 km/h.

For determining the lower limit of the range, subtract 3% of 100 km/h from 100 km/h:

Lower limit = 100 km/h - (3/100) * 100 km/h = 100 km/h - 3 km/h = 97 km/h

For determining the upper limit of the range, add 3% of 100 km/h to 100 km/h:

Upper limit = 100 km/h + (3/100) * 100 km/h = 100 km/h + 3 km/h = 103 km/h

Therefore, the range of possible speeds when the speedometer reads 100 km/h with a 3% uncertainty is from 97 km/h to 103 km/h.

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The distance traveled by the Earth after 6 months or 1 year is equal to the circumference of its orbit (2πR), and the displacement is zero for both time periods. To calculate the distance traveled and the displacement of the Earth after a certain time period, we can use the formula:

Distance = Speed * Time In this case, the speed of the Earth's revolution around the Sun is constant, so we can use the average distance between the Sun and the Earth (R) as the value for speed. Distance traveled after 6 months: The time period is 6 months, which is equal to 0.5 years.

Distance = R * Time

Distance = (1.5 * 10^8 km) * (0.5 years)

Distance = 7.5 * 10^7 km Displacement after 6 months: Displacement refers to the change in position, so we need to consider the direction as well. After 6 months, the Earth would have completed half of its revolution around the Sun, so the displacement is zero. This is because the Earth ends up in the same position relative to the Sun after half a year. Distance traveled after 1 year:

The time period is 1 year.

Distance = R * Time

Distance = (1.5 * 10^8 km) * (1 year)

Distance = 1.5 * 10^8 km

Displacement after 1 year: Similar to the previous case, the Earth completes one full revolution around the Sun in one year, so the displacement is zero. The Earth returns to its initial position after a complete revolution. Therefore, the distance traveled by the Earth after 6 months or 1 year is equal to the circumference of its orbit (2πR), and the displacement is zero for both time periods.

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Answer:

Meteoroids

Explanation:

Meteoroids are significantly smaller than asteroids, and range in size from small grains to one-meter-wide objects. Objects smaller than this are classified as micrometeoroids or space dust.

The term by which an asteroid called is smaller than a couple of meters wide is a meteorite.

A meteorite is a small group of rocks and debris. They are made by the collection of dust and small pebbles. They are smaller than asteroids, and they are formed in outer space, and they fall on earth from outer space, and when they fall into the earth with that great speed, they attain heat.

Meteorites also consist of metals, like nickel, carbides, sulfides, etc. It has been said that in old times the meteorite that contain iron, fall into the earth and the iron from them melted into the core of the earth. They are of different shapes and sizes.

Thus, the term by which an asteroid called is smaller than a couple of meters wide is a meteorite.

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An algorithm that calculates the time a train needs to arrive at a destination given speed and distance \(Time=\frac{Distance}{Speed}\).

The amount of the shift in approach per unit of time or the size of the displacement over time for an object can be used to describe speed, which would be a scalar quantity in everyday language and kinematics.

The maximum speed that can be maintained when a period grows closer to zero is the starting speed.

By dividing the object's distance traveled by the duration of the interval, the mean pace of the object for the given period is calculated. Speed and velocity are not always the same thing.

The algorithm to calculate the time required will be,

Let the distance covered by the train is D and the speed of the train be S.

Then, the time taken by the train will be,

T = D/S

Here, D is the distance and S is the speed.

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Equivalent resistance (R) = [(4/pi) - (1/2)]

From the question, we have

Equivalent resistance = (2/pi)*[1 + (1/3) + (1/5) + (1/7) + ……….. + (1/(2m-1))]

where m = diagonal nodes

For the first diagonal node we have m = 1

R = [(4/pi) - (1/2)]

Equivalent resistance (R) = [(4/pi) - (1/2)]

Equivalent resistance:

If a single resistance can replace the combination of resistances in such a manner that the current in the circuit remains unchanged, then that single resistance is called the equivalent resistance. It is the total resistance that you compute when you've added up all of the resistances of the components in the circuit, following the conventional series and parallel addition principles.  The equivalent resistance of a network is that single resistor that could replace the entire network in such a way that for a certain applied voltage V you get the same current I as you were getting for a network.

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