A coin is located 35.0 mm from the center of a turntable which accelerates from rest to a speed of 7.95 rad/s in 0.270 s. What is the minimum coefficient of friction to avoid slippage of the coin

Answers

Answer 1

The minimum coefficient of friction to avoid slippage of the coin is 0.23.

Minimum coefficient of friction

The minimum coefficient of friction can determined from the maximum speed of the coin.

ma = μmg

mv²/r = μmg

v²/r = μg

v² = μgr

μ = v²/(gr)

μ = (ωr)²/(gr)

μ = ω²r/g

μ = (7.95² x 0.035)/(9.8)

μ = 0.23

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Related Questions

True or false? the electric field produced by a uniform, infinite plane of charge does not depend on the distance from the plane.

Answers

True, the electric field produced by a uniform, infinite plane of charge does not depend on the distance from the plane.

What is electric field?

Electric field is the region of space at which electric force is felt.

E = kq/r²

where;

r is the distance of the charge

at infinite plane, r → ∞, and E = 0

Thus, the electric field produced by a uniform, infinite plane of charge does not depend on the distance from the plane.

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A ball with a mass of 2000 g is floating on the surface of a pool of water. What is the minimum volume that the ball could have without sinking below the surface of the water? (Note that water has a density of 1.00 g/cm³.)

Answers

Answer:

[tex]2000\; {\rm cm^{3}}[/tex].

Explanation:

When the ball is placed in this pool of water, part of the ball would be beneath the surface of the pool. The volume of the water that this ball displaced is equal to the volume of the ball that is beneath the water surface.

The buoyancy force on this ball would be equal in magnitude to the weight of water that this ball has displaced.

Let [tex]m(\text{ball})[/tex] denote the mass of this ball. Let [tex]m(\text{water})[/tex] denote the mass of water that this ball has displaced.

Let [tex]g[/tex] denote the gravitational field strength. The weight of this ball would be [tex]m(\text{ball}) \, g[/tex]. Likewise, the weight of water displaced would be [tex]m(\text{water})\, g[/tex].

For this ball to stay afloat, the buoyancy force on this ball should be greater than or equal to the weight of this ball. In other words:

[tex]\text{buoyancy} \ge m(\text{ball})\, g[/tex].

At the same time, buoyancy is equal in magnitude the the weight of water displaced. Thus:

[tex]\text{buoyancy} = m(\text{water}) \, g[/tex].

Therefore:

[tex]m(\text{water})\, g = \text{buoyancy} \ge m(\text{ball})\, g[/tex].

[tex]m(\text{water}) \ge m(\text{ball})[/tex].

In other words, the mass of water that this ball displaced should be greater than or equal to the mass of of the ball. Let [tex]\rho(\text{water})[/tex] denote the density of water. The volume of water that this ball should displace would be:

[tex]\begin{aligned}V(\text{water}) &= \frac{m(\text{water})}{\rho(\text{water})} \\ &\ge \frac{m(\text{ball}))}{\rho(\text{water})} \end{aligned}[/tex].

Given that [tex]m(\text{ball}) = 2000\; {\rm g}[/tex] while [tex]\rho = 1.00\; {\rm g\cdot cm^{-3}}[/tex]:

[tex]\begin{aligned}V(\text{water}) &\ge \frac{m(\text{ball}))}{\rho(\text{water})} \\ &= \frac{2000\; {\rm g}}{1.00\; {\rm g\cdot cm^{-3}}} \\ &= 2000\; {\rm cm^{3}}\end{aligned}[/tex].

In other words, for this ball to stay afloat, at least [tex]2000\; {\rm cm^{3}}[/tex] of the volume of this ball should be under water. Therefore, the volume of this ball should be at least [tex]2000\; {\rm cm^{3}}\![/tex].

A force of 30 N is exerted on an object on a frictionless surface for a distance of 6.0 meters. If the object has a mass of 10 kg, calculate its velocity.

Answers

Answer:The velocity of the object will be 5[tex]\sqrt7[/tex]m/s or 13.23m/s

Explanation:

force exerted by the object= 30N

distance displayed by the object by the action of force=6.0m

mass of object=10kg

velocity gained by the object=?

[tex]\frac{1}{2}mv^{2}= forcexdisplacement\\\frac{1}{2}10v^{2} = 30x6\\ 5v^{2}=180\\ v^{2}= 180-5\\ v^{2} =175\\v=\sqrt{175} \\v=5\sqrt{7} or 13.23[/tex]

the mechanical advantage of a simple machine is 3 and its velocity ratio is 4 find its efficiency ​

Answers

Answer:

75%

Explanation:

Efficiency=MA/VR*100

=3/4*100

=0.75*100

=75%

A ball dropped onto a trampoline returns to the same height after the rebound.
a) Describe the energy change of the ball from the point of release to the top of the rebound
b) What can you say about the energy of the ball at the point of release compared with at the top of the rebound?

Answers

a)The ball's potential energy changes as it moves from the release point to the top of the rebound.

b)The ball's potential energy is at its highest and rests when it is in the top position.

What is potential energy?

The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule.

The potential energy is mainly dependent upon the height of the object.

Potential energy = mgh

The kinetic energy of the body is due to the virtue of motion.

According to the Law of Conservation of Energy, energy can neither be created nor destroyed but can be transferred from one form to another.

The total energy is the sum of all the energies present in the system. The potential energy in a system is due to its position in the system.

A ball dropped onto a trampoline returns to the same height after the rebound.

Hence, the ball's potential energy changes as it moves from the release point to the top of the rebound. When the ball is at the top position the potential energy is maximum and the ball is at rest.

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define density and give its SI unit​

Answers

Answer:

Density is defined as mass per unit volume. its SI unit is: kg/m³

Explanation:

Answer:

Density is defined as mass per unit volume. its SI unit is: kg/m³

Explanation:

from answer above

you began with a 544 g sample ​

Answers

Answer:

34g

(second option listed)

Explanation:

half life is the number of days it takes to decrease by half,

after 8 days you are left with half of the original portion

in a period of 32 days, we experience 4 repeats of 8 days

(it gets cut in half four times):

544 / 2 = 272  {day 8}

272 / 2 = 136  {day 16}

136 / 2 = 68 {day 24}

68 / 2 = 34 {day 32}

so, after 32 days, 34g of ooblek are left un-decayed

hope this helps!! have a lovely day :)

Newton's second law of motion states that Choose one: A. the force of gravity is proportional to the masses of the two objects and the inverse of the square of the distance. B. the acceleration of an object is proportional to the net force acting on it. C. objects have inertia. D. every action has an equal and opposite reaction.

Answers

Answer:

B

Explanation:

Circle the letters of the places where portions of Earths fresh water are located

A. In streams B. In the atmosphere
C. In the oceans D. In lakes

Choose more than one

Answers

The portions of Earth's fresh water are located in lakes and streams.  The options A and D are correct.

What is freshwater?

The freshwater is the one which does not contains any harmful chemical and saltiness.

The oceans contains salt water and the lakes and the streams have fresh water.

So, the option A and D are correct.

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Explain how the scenario below illustrates a lack of understanding of the importance of quality control.

Situation: Tomas is the manager of a local restaurant.

Tomas: “The health inspection department is too strict. We have to leave some cold foods out to prepare salads for lunch.”

Answers

Answer:

He is being careless.

Explanation:

he is trying to "get rid" of one problem so he can tackle another. This is food though, and you have customers to serve. You also have to be careful about food poisoning.

What is the peak value of a sine wave whose VAV value is 15V?​

Answers

The peak value of a sine wave whose VAV value is 15V is 21. 21

What is a peak value?

A peak value is simply known as the highest or maximum value reached in one cycle by an alternating quantity.

The formula for peak value is given as;

peak value = Voltage * √2

Voltage = 15V

Peak value = 15 * √ 2 = 15 * 1. 4142 = 21. 21

Thus, the peak value is 21. 21

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you plan to use a slingshot to launch a ball that has a mass of 0.025kg

Answers

From the calculations, the force required is 0.437 N.

What is force?

The term force is defined a the product of mass and acceleration. The force is required to move the sling the required distance.

If mass = 0.019 kg and acceleration =  23 m/s2 then we know that F = ma

It then follows that the required force is;

F = 0.019 kg  *  23 m/s2= 0.437 N

Missing parts

You plan to use a slingshot to launch a ball that has a mass of 0.019 kg. You want the ball to accelerate straight toward your target at 23 m/s2. How much force do you need to apply to the ball?

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PLEASE HELP ASAP!!!
Describe the two forces that form mid-ocean ridges and ocean trenches

Answers

Ridge push refers to the pressure exerted by the excess height of the mid-ocean ridge, while Slab pull refers to the force exerted by the weight of the subducted slab on the plate it is attached to.

Two forces that form mid-ocean ridges

The two forces that form mid-ocean ridges are ridge-push and slab pull.

What is Ridge push?

Ridge push refers to the pressure exerted by the excess height of the mid-ocean ridge.

What is  Slab pull?

Slab pull refers to the force exerted by the weight of the subducted slab on the plate it is attached to.

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PLEASE ANSWER THESE FAST
AND CORRECT PLEASE ​

Answers

Numbers 2 and 5 are both true and the rest are false

Suppose the resistance of a copper wire is 1.05 ohms at 30°C. Find the temperature at which the resistance becomes 1.50 ohms.​

Answers

Suppose the resistance of a copper wire is 1.05 ohms at 30°C. the temperature is mathematically given as

T=139.89

What is the temperature at which the resistance becomes 1.50 ohms.​?

Generally, the equation for the coefficient of change is mathematically given as

[tex]\mu_k= 0.2+(0.043)3\\\\\mu_k=0.2+(0.043)(4.343)[/tex]

[tex]\mu_k=0.387[/tex]

In conclusion, the Temperature of copper

[tex]R=R_0( 1+ \alpha(T-T1))[/tex]

1.5(1+0.005(T-30))

T=139.89

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A boy throws a ball vertically up it returns the ground after 10 seconds find the maximum height reached by the ball

Answers

Answer:

Approximately [tex]122.625\; {\rm m}[/tex] (assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex], the ball was launched from ground level, and that the drag on the ball is negligible.)

Explanation:

Let [tex]v_{0}[/tex] denote the velocity at which the ball was thrown upward.

If the drag (air friction) on the ball is negligible, the ball would land with a velocity of exactly [tex](-v_{0})[/tex]. The velocity of the ball would be changed from [tex]v[/tex] to [tex](-v_{0})\![/tex] (such that [tex]\Delta v = (-v_{0}) - v_{0} = (-2\, v_{0})[/tex]) within [tex]t = 10\; {\rm s}[/tex].

Also because the drag on the ball is negligible, the acceleration of the ball would be [tex]a = -g = -9.81\; {\rm m\cdot s^{-2}}[/tex]. Thus:

[tex]\Delta v = a\, t = 10\; {\rm s} \times (-9.81\; {\rm m\cdot s^{-2}}) = -98.1\; {\rm m\cdot s^{-1}}[/tex].

Since [tex]\Delta v = (-2\, v_{0})[/tex]:

[tex]-2\, v_{0} = \Delta v = -98.1\; {\rm m\cdot s^{-1}[/tex].

[tex]\begin{aligned}v_{0} &= \frac{-98.1\; {\rm m\cdot s^{-1}}}{-2}= 49.05\; {\rm m \cdot s^{-1}}\end{aligned}[/tex].

The ball reaches maximum height when its velocity is [tex]v_{1} = 0\; {\rm m\cdot s^{-1}}[/tex]. Apply the SUVAT equation [tex]x = ({v_{1}}^{2} - {v_{0}}^{2}) / (2\, a)[/tex] to find the displacement [tex]x[/tex] between the original position (ground level, where [tex]v_{0} = 49.05\; {\rm m\cdot s^{-1}}[/tex]) and the max-height position of the ball (where [tex]v_{1} = 0\; {\rm m\cdot s^{-1}}[/tex].)

[tex]\begin{aligned}x &= \frac{(0\; {\rm m\cdot s^{-1}})^{2} - (49.05\; {\rm m\cdot s^{-1}})^{2}}{2 \times (-9.81\; {\rm m\cdot s^{-2}})} \\ &\approx 122.625\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

Perform the following mathematical operation and report answer to the correct number of significant figures 143.6 divided by 21.2

Answers

The answer to the correct number of significant figures is 6.774.

What is quotient?

When a number(big) divided smaller number, the answer obtained greater than zero is called a quotient.

Divide 143.6 ÷ 21.2

143.6/21.2 = 1436/212

                  =6.77358

The quotient is rounded to three significant figures after decimal

143.6 ÷ 21.2 = 6.774

Thus, the answer to the correct number of significant figures is 6.774

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Sonam and Wangchuk are taking part in a long jump event during their school's annual sports day. Sonam ran a few distances before taking the jump while Wangchuk jumped without running. Who will jump furthest? Justify your answer.​

Answers

Answer:

Sonam will jump further than wangchuck

Please help: when lorenzo was growing up, his family did not have access to health care. now that he is a father and has access to health care through his work, he wants to make sure he does all he can to promote the health of his own children. how will access to health care help promote a healthier start in his children's lives? how will this promotion of health affect disease prevention for these children? why is it important for lorenzo to establish and implement health maintenance for his family members of all ages? in what ways can he access health services for his entire family?

Answers

Answer:

first answer:He can promote healthier start in the children's life by trying to avoid what he encounter when he has no access to health care.

give two examples of contact force and non contact force

Answers

Answer:

Explanation:

The two examples of contact forces are frictional force and applied force. The two examples of noncontact forces are gravitational force and magnetic force.

The kinetic energy of an object is proportional to the square of its _______?

Answers

Answer:

kinetic energy of an object is proportional to the square root of its boiling vocelity

two conducting spheres are touched together​

Answers

Answer:

I think its either A or B. I’m not really sure, don’t listen to me. Read my explanation and it should help you.

Explanation:

When the two conducting spheres are brought together to touch, it is as though they become one single big conductor and the total charge of the two spheres spreads out across the whole surface of the touching spheres. When the spheres are moved apart again, each one is left with half of the total original charge…

X and Y are two identical conducting spheres separated by a distance d. X has a charge of +6µC and Y has a charge of -2µC. The electric force between them is +F (i.e. attractive). The spheres are touched together and are then returned to their original separation d. What is the new value of the force between them? Any help is greatly appreciated. I assumed that since the net charge should remain the same after, there would be no change in the value of the force, but the answer scheme gives the answer as -F/3…

A football is kicked with an initial velocity of 10 m/s at an angle of 25°. If it hits the ground 1.5s later, how many meters does it travel?

Answers

Answer:

i am pretty sure its 15 m

Explanation:

10 m/s

1.5 seconds

25 angle


10m/1.5s

10x1.5=15

when you rub neutral objects​

Answers

electrons can be knocked loose from one object and picked up by the other. The object that gains electrons becomes negatively charged, while the object that loses electrons becomes positively charged.

b gained electrons

two examples of hydraulic brake​

Answers

Answer:

1). Brake pedal or lever

2). A pushrod also called an actuating rod

I turn a glass upside down, trap the air in it by putting it in water, and then i take the glass down to 10 metres/33 feet. The air space would

Answers

The air space would be half the size it was at the surface.

What is airspace?

It should be noted that airspace means the portion of the atmosphere controlled by a country that's above its territory.

Based on the information given, the The air space would be half the size it was at the surface.

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8. in a hall experiment, a current of 25 a is passed through a long foil of ag, which is 0.1 mm thick and 3mm long. calculate the hall voltage produces across the width by a flux of 1.4 w/m2. if the conduction of ag is 6.8x10mho/m. estimate the mobility and hall coefficient.

Answers

The mobility and hall coefficient willl be 57.7 ×10⁻⁴ and 29.41 ×10⁻⁶ v.

What is electric current?

Electric current is defined as the ratio of the charge flow in a given time interval. It is denoted by I. It has the unit is ampere.

Given data;

Electric current,I= 25 A

Thickness  = 0.1 mm

Length = 3 mm

Flux  = 1.4 w/m²

The charge density is found as;

[tex]\rm \rho =- \frac{1}{R_H} \\\\ \rho = 0.119 \times 10^{11} C/m^3[/tex]

The value of the hall voltage is;

[tex]\rm V_H = BVd \\\\ V_H = B \frac{I}{\rho dt} d \\\\ V_H = \frac{BI}{\rho t } \\\\ V_H = \frac{0.14 \times 25 }{0.119 \times 10^{11} \times 0.1 \times 10^{-3}} \\\\ V_H = \frac{3.5 }{0.119 \times 10^7} \\\\ V_H = 29.41 \times 10^{-6} \ v[/tex]

The mobility of electrons is;

[tex]\rm \mu_e = \frac{\rho}{n_e}\\\\ \mu_e = \frac{6.848 \times 10^7}{13.5 \times 10^{-30}\times 1.607 \times 10^{-19}} \\\\ \mu_e = 57.7 \times 10^{-4}[/tex]

Hence the mobility and hall coefficient willl be 57.7 ×10⁻⁴ and 29.41 ×10⁻⁶ v.

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If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will

Answers

If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will increase.

What is Buoyancy?

Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.

All material submerged in a liquid under the action of buoyancy, for this reason we have that the value on the scale will be increased with a system of a wood floating in water.

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Which of the objects around you is following Newton's first law of motion?

Answers

The object which follows Newton's first law of motion around me is; my scientific calculator.

What is the Newton's first law of motion?

The concept which describes objects as forever stationary except acted upon by external forces can be attributed to.the Newton's first law of motion. The postulation of the law is that; An object remains at rest if at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force. Hence, except acted upon by an external force(myself), my calculator will remain at rest.

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The objects around us that obeys newton's first law of motion are

A book placed on the top of a table,A moving car,A standing fan,A building.

Newton's first law of motion

Newton's first law of motion states that every object will continue to be in its state of rest on remain in uniform motion except it is acted upon by an external force.

Newton's first law of motion is also called the law of inertia

Examples of  newton's first law of motion are

A book placed on the top of a tableA moving car,

etc.

Hence, The objects around us that obeys newton's first law of motion are

A book placed on the top of a table,A moving car,A standing fan,A building.

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by considering action-reacton forces,identify why water rises up a thin capillary tube

Answers

The forces of attraction between water molecules and the glass walls and within the molecules of water themselves are what enable the water to rise in a thin tube immersed in water.

What is force?

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Force is defined as the product of mass and acceleration. Its unit is Newton.

Surface or interfacial forces lead to capillarity. The forces of attraction between the water molecules and the glass walls and among the water molecules themselves are what causes the water in a thin tube submerged in water to rise.

Hence, the water rises up a thin capillary tube can be explained by Newton's third law.

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