A potter's wheel—a thick stone disk of radius 0.500 m and mass 110 kg—is freely rotating at 50.0 rev/min. the potter can stop the wheel in 6.00 s by pressing a wet rag against the rim and exerting a radially inward force of 68.0 n. find the effective coefficient of kinetic friction between the wheel and rag.

Answer:

D

Explanation:

Answer : The maximum acceleration will be 3.0 [tex] m/sec^{2} [/tex].

Explanation : We can calculate the force using the formula given below;

F = m . a ;

(F - Force; m - mass and a - acceleration);

given in the problem; mass (1) - 1200 kg; acceleration (1) - 4 [tex] m/sec^{2} [/tex]

So, on substituting we get,

F = [tex] m_{1} a_{1} [/tex] = 1200 X 4 = 4800 N; we get F = 4800 N

Now, when mass 400 kg is added then mass (2) will be 1600 kg and acceleration has to be found;

Here, the force remains the same; so it can be equated;

[tex] m_{1} a_{1} [/tex] = [tex] m_{2} a_{2} [/tex];

So, 1200 X 4 = (1200 + 400) x [tex] a_{2} [/tex]

Therefore, the answer will be [tex] a_{2} [/tex] = 3.0 [tex] m/sec^{2} [/tex]

ΔU = -Wint

Consdier the work of of interaction is W =m*g*h - equation -1

and the Potential energy U.

Final Potential energy Uf =0 , And the Initial Potential Energy Ui =m*g*h

Now we will write the equation for a Change in Potential energy ΔU,

ΔU = Uf - Ui

= 0-m*g*h

  ΔU = -m*g*h --Equation 2

Now compare the both equation

Wint = -ΔU

we can rewrite the above equation

ΔU = -W.

So our Answer is ΔU = -W. .

The answer is FALSE.

Answer:

False.

Explanation:

Any individual cant really become an expert in anything. Induvisuals might just be a normal person, and some be experts, To me about 20% of people can be experts 60% might just be a normal person. Some people have cancer, health problems, and diseases, or sicknesses. and some might not be good at some point at something.

Answer:

3.71 × 10²¹ atoms

Explanation:

The molar mass of P₂O₅ is 283.89 g/mol. The moles of P₂O₅ corresponding to 0.250 g of P₂O₅ are:

0.250 g × (1 mol/283.89 g) = 8.81 × 10⁻⁴ mol

In 1 mole of P₂O₅ there are 6.02 × 10²³ molecules of P₂O₅ (Avogadro's number). In 8.81 × 10⁻⁴ moles of P₂O₅, the molecules of P₂O₅ are:

8.81 × 10⁻⁴ mol × (6.02 × 10²³ molecule/ 1 mol) = 5.30 × 10²⁰ molecule

In 1 molecule of P₂O₅, there are 7 atoms (2 atoms of P and 5 atoms of O). In 5.30 × 10²⁰ molecules of P₂O₅, the number of atoms is:

5.30 × 10²⁰ molecule × (7 atom/1 molecule) = 3.71 × 10²¹ atom

Answer : Tension in the line = 936.7 N

Explanation :

It is given that,

Mass of student, m = 65 kg

The angle between slackline and horizontal, [tex]\theta=20^0[/tex]

The two forces that acts are :

(i) Tension

(ii) Weight

So, from the figure it is clear that :

[tex]mg=2T\ sin\ \theta[/tex]

[tex]T=\dfrac{mg}{2\ sin\theta}[/tex]

[tex]T=\dfrac{65\ kg\times 9.8\ m/s^2}{2(sin\ 20)}[/tex]

[tex]T=936.7\ N[/tex]

Hence, this is the required solution.

The tension in the line is [tex]\boxed{932.18{\text{ N}}}[/tex].

Further Explanation:

Free body diagram is the graphical representation or illustration of all the forces applied on the body with their directions. This helps us to visualize all the applied forces on the body with their directions and make us possible to solve complex problems based on kinematics.

Tension is the force exerted by the wire, cable or string like object when someone pulls it.

The force in the downward direction is due to gravity called as weight. Its magnitude depends upon the mass of the body and expressed as [tex]mg[/tex]. the term [tex]g[/tex] is called acceleration due to gravity and it has a constant value of [tex]9.81{\text{ m/}}{{\text{s}}^2}[/tex].

Given:

The mass of the student is [tex]65\text{ kg}[/tex].

The sag angle with respect to the horizontal is [tex]20^\circ[/tex].

Concept:

The student walking in the slack line exerts tension on the slack line ties with two trees. There is tension on the both side of the slack line. The horizontal component of tension both side of the slack line will be canceling each other effects and the vertical component of tension both side of the slack line is balanced by the weight of the student.

It can be expressed as:

[tex]2T\sin\theta=mg[/tex]

Here, [tex]T[/tex] is the tension, [tex]\theta[/tex] is the sag angle, [tex]m[/tex] is the mass of object and [tex]g[/tex] is the acceleration due to gravity.

Substitute [tex]20^\circ[/tex]  for [tex]T[/tex], [tex]65\text{ kg}[/tex] for [tex]m[/tex] and [tex]9.81{\text{ m/}}{{\text{s}}^2}[/tex] for [tex]g[/tex] in the above equation.

[tex]\begin{aligned}2T\sin 20^\circ&=\left( {65{\text{ kg}}}\right)\left( {9.81{\text{ m/}}{{\text{s}}^2}} \right) \hfill\\T&=\frac{{\left({65{\text{ kg}}} \right)\left( {9.81{\text{ m/}}{{\text{s}}^2}}\right)}}{{2\sin 20^\circ}}\hfill\\&=932.18{\text{ N}}\hfill\\ \end{aligned}[/tex]

Therefore, the tension in the line is [tex]\boxed{932.18{\text{ N}}}[/tex].

Learn more:

1. Tension https://brainly.in/question/1796681

2. The tension in the string https://brainly.in/question/61401

3. Tension https://brainly.in/question/8509853

Answer Details:

Grade: College

Subject: Physics

Chapter: Kinematics

Keywords:

65 kg, student, walking, slackline, length, webbing, stretched, between, two, trees, sags, 20 deg, angle, relative, horizontal, tension, line, 932.18 N.

Answer:

“Punish other nations”, is the right answer.

Explanation:

Tariffs and sanctions are the two different ways to do the same job. Tariffs are taxes on imports, for instance, tariffs that China placed on U.S. corn, it implies that anyone who desires to buy the American corn has to pay more charges to get it. At the same time, "Sanctions" are means to punish a country by preventing the sale or the purchase of something of that country, for instance, U.S. sanctions on the oil from Iraq. Therefore, both the methods are employed to punish a nation and make it more difficult to make trading deals with that nation.

To supply each bulb with a voltage of 2.4 V, the value of resistor r should be 0.6 ohms.

To find the value of resistor r in order to supply each bulb with a voltage of 2.4 V, we can use the formula for voltage in a series circuit:

V = V1 + V2 + Vr

Since the voltage across each bulb should be 2.4 V, we have:

2.4 V = 2.4 V + 2.4 V + Vr

Simplifying the equation, we find that the value of resistor r should be 0.6 ohms.

The magnitude of the frictional force between the block and the surface while the block is moving is 9m.

The magnitude of the frictional force between the block and the surface while the block is moving can be determined using the principle of conservation of momentum.

When the bullet passes through the block, the total momentum of the system is conserved. The initial momentum of the bullet is mv and the initial momentum of the block is 0.

After the collision, the final momentum of the bullet is (1/3)mv and the final momentum of the block is (4m)(v/3). Setting the initial and final momenta equal, we can solve for the magnitude of the frictional force.

Initial momentum of the system = Final momentum of the system

mv + 0 = (1/3)mv + (4m)(v/3)

Simplifying the equation, we get:

mv = 2mv/9

Cancelling out the m and solving for v, we get:

v = 9m

Therefore, the magnitude of the frictional force between the block and the surface while the block is moving is 9m.

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From the statement, since rocket was launched so this means that it start from zero, hence initial velocity is zero. 
Since the rocket was launched vertically straight up, the force acting on this motion is gravity.

 
A. The acceleration of the motion is then given by:

a= F/m - g 

Then we can use the general equation:

V^2 = Vo^2 + 2*a*h

where V is final velocity, Vo is initial velocity, a is acceleration, h is height 

Since we know that Vo = 0, so 

V^2 = 2*a*h 

V^2 = 2 (F/m – g) h
V = sqrt [2 h (F/m – g)]

B. Given that:

h = 86 m

F = 10 N

m = 340 g = 0.34 kg

Find for V:

V = sqrt [2 * 86 (10 / 0.34 – 9.8)]

V = 58.08 m/s

To find the rocket's speed at height h, use Newton's second law of motion and kinematic equations. The rocket's speed can be expressed as v = sqrt(2gh - 2Fthrusth/m). For the given values, the rocket's speed is 136.36 m/s.

a. To find the rocket's speed at height h, we can apply the principles of Newton's second law of motion. Since air resistance is neglected, the only force acting on the rocket is the thrust force. The thrust force can be written as Fthrust = ma, where m is the mass of the rocket and a is the acceleration. The acceleration is given by a = g - g'' where g is the acceleration due to gravity and g'' is the acceleration due to the thrust force. Since g'' is directed opposite to the gravitational acceleration, we subtract it. On rearranging the equation, we get g'' = g -a. Substituting this into the equation Fthrust = ma, we obtain Fthrust = m(g - a). Solving for a, we get a = g - Fthrust/m. At height h, the rocket's speed can be found using the kinematic equation v² = u² + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement. Since the initial velocity is 0, we have v² = 2as. Substituting the expression for acceleration, we get v² = 2gh - 2Fthrusth/m. Taking the square root of both sides, we have v = sqrt(2gh - 2Fthrusth/m).

b. Substituting the given values Fthrust = 10 N, m = 0.34 kg, h = 86 m, and g = 9.8 m/s² into the expression v = sqrt(2gh - 2Fthrusth/m), we can calculate the rocket's speed as it reaches a height of 86 m. Plugging in the values, we get v = sqrt(2 * 9.8 * 86 - 2 * 10 * 86 / 0.34) = 136.36 m/s.

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Final answer:

The ratio of the horizontal distances of impact for the two water jets is 2.

Explanation:

To calculate the ratio of the horizontal distances of impact, we need to first find the time of flight for each water jet. The time of flight can be determined using the formula:

time = distance / velocity

For the first water jet with a height of 50 centimeters and a velocity of 1 meter/second, the time of flight is:

time 1 = 0.5 meters / 1 meter/second

= 0.5 seconds

For the second water jet with a height of 100 centimeters and a velocity of 0.5 meter/second, the time of flight is:

time 2 = 1 meter / 0.5 meter/second

= 2 seconds

Now, we can calculate the horizontal distances of impact using the formula:

distance = velocity * time

For the first water jet, the horizontal distance of impact is:

distance 1 = 1 meter/second * 0.5 seconds

= 0.5 meters

For the second water jet, the horizontal distance of impact is:

distance2 = 0.5 meter/second * 2 seconds = 1 meter

Therefore, the ratio of their horizontal distances of impact is:

ratio = distance 2 / distance 1

= 1 meter / 0.5 meters

= 2

Answer:

Explanation:

Drag each tile to the correct box.

Lori’s family is on a road trip. They split their drive into the five legs listed in the table. Find the average velocity for each leg of the trip. Then arrange the legs of the trip from lowest velocity to highest.

Leg Distance (km) Time (min)

A 15 10

B 20 15

C 24 12

D 36 9

E 14 14

leg A

leg B

leg C

leg D

leg E

Answer: no ailment found in the body

Explanation: a body is said to be physically fit if it dies not deviate from the standard way a body should be that is it should have no sickness not injury

To determine how long it takes a person to breathe one mole of air at a rate of 77.0 ml/s, the ideal gas law and conversion to appropriate units would be necessary. However, the actual calculation was not provided, and thus the exact time in seconds cannot be given.

The question asks about the time required for a person at rest to breathe one mole of air given a breathing rate of 77.0 ml/s at conditions of 25 ℃ and 755 mmHg. To solve this, we need to employ the ideal gas law. The ideal gas law relates the volume (V), pressure (P), temperature (T), and the number of moles (n) of an ideal gas to the universal gas constant (R).

We use the conditions given by the student to calculate the volume of one mole of air under the specified conditions. The ideal gas law is PV = nRT where P is the pressure in atm, V is the volume in liters, n is the number of moles, R is the universal gas constant (0.0821 L·atm/K·mol), and T is the temperature in Kelvin.

First, convert the given pressure from mmHg to atm and the temperature from Celsius to Kelvin. Then solve for V when n is one mole.

However, without completing the calculation, we cannot provide the exact time needed as it depends on the precise volume one mole of air occupies at the given conditions. Once known, the time can be found by dividing this volume by the breathing rate (77.0 ml/s) and converting the result into seconds, which gives us the amount of time needed to breathe one mole of air.

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It would take approximately 318.2 seconds for a person at rest to breathe one mole of air, given the conditions of 25°C and 755 mmHg pressure. This calculation assumes ideal conditions and a constant breathing rate.

To determine how long it takes for a person at rest to breathe one mole of air, we need to calculate the volume of air that corresponds to one mole under the given conditions and then divide this by the breathing rate.

1. Calculate the volume of one mole of gas at STP (Standard Temperature and Pressure):

  - Standard temperature (T): 0°C = 273.15 K

  - Standard pressure (P): 1 atm = 760 mmHg = 101.325 kPa

  Using the ideal gas law [tex]\( PV = nRT \)[/tex]:

  \[ V_{\text{mole}} = \frac{nRT}{P} = \frac{(1 \text{ mol})(0.0821 \text{ L} \cdot \text{atm} \cdot \text{K}^{-1} \cdot \text{mol}^{-1})(298.15 \text{ K})}{760 \text{ mmHg}} \approx 24.5 \text{ L} \][tex]\[ V_{\text{mole}} = \frac{nRT}{P} = \frac{(1 \text{ mol})(0.0821 \text{ L} \cdot \text{atm} \cdot \text{K}^{-1} \cdot \text{mol}^{-1})(298.15 \text{ K})}{760 \text{ mmHg}} \approx 24.5 \text{ L} \][/tex]

2. Convert volume to milliliters (since the breathing rate is given in [tex]mL/s)[/tex]:

 [tex]\[ V_{\text{mole}} = 24.5 \text{ L} \times 1000 \text{ mL/L} = 24500 \text{ mL} \][/tex]

3. Calculate the time to breathe one mole of air:

[tex]\[ \text{Time} = \frac{V_{\text{mole}}}{\text{Breathing rate}} = \frac{24500 \text{ mL}}{77.0 \text{ mL/s}} \approx 318.2 \text{ seconds} \][/tex]

Therefore, it would take approximately 318.2 seconds for a person at rest to breathe one mole of air, given the conditions of 25°C and 755 mmHg pressure. This calculation assumes ideal conditions and a constant breathing rate.

Final answer:

The use of the mnemonic ROY G BIV to remember the colors of the rainbow in the order of wavelength illustrates the concept of color vision in physics.

Explanation:

The use of the mnemonic ROY G BIV to remember the colors of the rainbow in the order of wavelength illustrates the concept of color vision in physics. Visible light consists of different wavelengths, and our eyes perceive these wavelengths as different colors. The mnemonic helps us remember the order of colors in the rainbow from longest to shortest wavelength: red, orange, yellow, green, blue, indigo, and violet.

For example, red light has a longer wavelength than orange light, and violet light has a shorter wavelength than green light. The mnemonic ROY G BIV is a helpful tool for remembering this sequence of colors and their corresponding wavelengths.

A molecules speed up because the temp is rising there for the molecules speed up

hope this helped =^-^=

The average speed of the particle that travels 15 times around a 10 cm radius circle in 42 seconds is 0.224 m/s.

To calculate the average speed of a particle, we use the formula: Speed = Distance ÷ Time. In this case, the distance travelled is the circumference of the circle (2πr) multiplied by the number of times the particle goes around the circle. Given that the particle travels 15 times around a 10 cm radius circle, the total distance is 2π*0.1m*15 = 9.42m. Since the time taken is 42 seconds, the average speed of the particle is then 9.42m ÷ 42s = 0.224 m/s.

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The particle's average speed is calculated by dividing the total distance travelled (15 times around the circle) by the total time taken (42 seconds). The speed is approximately 0.224 m/s.

The subject of your question is physics, specifically dealing with the concept of speed in circular motion. To solve this, we need to understand that the particle is traveling in a circular path with a known radius 15 times in a given time of 42 seconds. Therefore, the total distance travelled by the particle can be calculated using the formula for the circumference of a circle, which is 2πr (where r is the radius), multiplied by the number of circles made.

First, we need to convert the radius from cm to meters because the standard unit of measurement for speed is m/s. So, 10cm = 0.10m. Now, calculating the total distance travelled: 15 circles * 2 * π * 0.10m = 9.42m.

The speed of any object is defined as the ratio of the distance travelled to the time taken. So, the average speed of the particle will be calculated as (total distance / total time). Accordingly, the speed of particle would be 9.42m / 42s = 0.224m/s.

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Answer:

Mass of the cart = 146 kg

Explanation:

A cart is pulled by a force of 250 N at an angle of 35° above the horizontal.

The cart accelerates at 1.4 m/s² horizontally.

Horizontal force = Fcosθ = 250 cos35° = 204.79N

We have F = ma

Substituting

        204.79 = m x 1.4  

              m = 146.28 kg = 146 kg

Mass of the cart = 146 kg

Answer:

146 kg

Explanation:

Correct on Edge 2021

10 m/s² to the left.

Given:

Question:

What the acceleration of the bear is?

This is the case for implementing Newton's second law, i.e., 'the resultant force is proportional to the acceleration'. If we also use SI units then 'the resultant force is equal to the product of the mass and the acceleration'.

[tex]\boxed{\boxed{ \ F_{net} = m \cdot a \ }}[/tex]

Let's calculate the net force.

Referring to the horizontal axis marked a positive to the right, then

[tex]\boxed{ \ F_{net} = 15 - 17 = - 2 \ N \ }[/tex]

A negative sign indicates that the bear is moving to the left.

We continue to calculate the bear's acceleration. Remember, the mass that is applied is the mass of the bear that is accelerating.

[tex]\boxed{ \ F_{net} = m \cdot a \rightarrow a = \frac{F_{net}}{m_{bear}} \ }[/tex]

[tex]\boxed{ \ a = \frac{2 \ kg.ms^{-2}}{0.2 \ ms^{-2}} \ }[/tex]

Thus, the magnitude and direction of the acceleration is [tex]\boxed{\boxed{ \ a = 10 \ m/s^2 \ to \ the \ left \ }}[/tex]

Keywords: two children, a 200 g stuffed bear, the 25 kg boy pulls to the right, a 15 n force, the 20 kg girl, left, a 17 n, what the acceleration, newton's second law, the magnitude and direction

The acceleration of the bear is [tex]\boxed{10{\text{ }}{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {{{\text{s}}^2}}}} \right. \kern-\nulldelimiterspace} {{{\text{s}}^2}}}}[/tex] and its direction of motion is towards left side.

Further explanation:

The net force acting on the bear is equal to the difference between force applied by the girl on the bear and force applied by boy on the bear.

Given:

The mass of the bear is [tex]200{\text{ g}}[/tex].

The force applied by the boy on the bear, towards right side, is [tex]15{\text{ N}}[/tex].

The force applied by the girl on the bear, towards left side, is [tex]17{\text{ N}}[/tex].

The mass of the boy is [tex]25{\text{ kg}}[/tex].

The mass of the girl is [tex]20{\text{ kg}}[/tex].

Formula and concept used:

From the Newton’s law of motion,

[tex]\sum F=ma[/tex]  

Here, [tex]\sum F[/tex] is the net force acting on the object, [tex]m[/tex] is the mass of object  and [tex]a[/tex] is the acceleration.

The weight of the boy and the girl will not affect the net force applied by them on the bear.

The net force applied on the bear is equal to the difference between force applied by the girl and force applied by the boy because the forces applied by the boy and girl are parallel to each other but opposite in the direction.

Therefore, from the vector law, the resultant of the parallel vectors acting  opposite in direction is equal to the difference between their magnitudes.  The direction of the resultant can be specified as the direction of the vector on larger magnitude.

The expression for the net force on the bear is:

[tex]\boxed{ma={F_g} - {F_b}}[/tex]                                                                            …… (1)

Here, [tex]{F_g}[/tex] is the force applied by the girl, [tex]{F_b}[/tex] is the force applied by the boy, [tex]m[/tex] is the mass of bear  and [tex]a[/tex] is the acceleration of the bear.

Thus, the acceleration of the bear is [tex]\boxed{10{\text{ }}{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {{{\text{s}}^2}}}} \right. \kern-\nulldelimiterspace} {{{\text{s}}^2}}}}[/tex] and its direction of motion is towards left side.

Calculation:

Substitute the value of [tex]{F_g}[/tex], [tex]{F_b}[/tex] and [tex]m[/tex] in equation (1).

[tex]\begin{aligned}\frac{{200}}{{1000}}a&=17 - 15 \\0.2a&=2 \\a&=10{\text{ }}{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {{{\text{s}}^2}}}} \right. \kern-\nulldelimiterspace} {{{\text{s}}^2}}} \\ \end{aligned}[/tex]

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Answer detail:

Grade: College

Subject: Physics

Chapter: Dynamics of motion

Keywords:

Two children fighting, force on the bear, acceleration, newton's law, boy, girl, pulling bear towards left, 10m/s2, 10m/s^2, 10.0m/s2 , 10.0m/s^2, mass, net force, weight, magnitude and direction.

Answer:

gravity

Explanation: Because when you are jumping

The correct answer is A. Scientists want to share measurements data that they can understand

Explanation:

In science, a standard system of measurement refers to a unified set or system of units that can be used internationally to measure data related to distance, temperature, energy, mass, etc. For example, the International System of Units establishes distance should be measured in meters rather than in inches, feet, etc. This guarantees all around the word scientist use the same units and can later share measurements despite language, culture or country because by using the same units scientists can understand data. Thus, a standard system of measurement is important because "scientists want to share measurements data that they can understand ".