Since antiquity people have used the sling to increase the speed of a rock and send it swiftly in a specific
direction. While the rock is being spun overhead, the force that keeps the rock moving in a circle is provided by
the tensile strength of the sling material. Leather has a fairly high tensile strength, so that a strip of leather with
a cross-sectional area of 0.25 cm2can withstand a pulling force of 800 N. Assume that, for a certain sling, 8.00
10²N is the largest possible centripetal force. If the rock in the sling is 0.40 m from the center of rotation and has
a tangential speed of 6.0 m/s, what is the largest mass the rock can have?
Show Your Work

Answers

Answer 1

Answer:

"F = 52.93 [N]

Since the Rock is thrown upwards, there are only two forces, one is the force of the rubber (55[N]) and the other is the force of gravitational acceleration acting in the opposite direction to the movement of the rock, therefore this acceleration will be taken as negative.

F = 55 - m*g

where:

F = total force [N] (units of Newtons)

m = mass = 0.21 [kg]

g = gravity acceleration = 9.81 [m/s²]

F = 55 - (0.21*9.81)

F = 52.93 [N]"


Related Questions

You need to make a generator for your bicycle light that will provide an alternating emf whose peak value is 4.2 V. The generator coil has 55 turns and rotates in a 0.040-Tesla magnitude magnetic field.

If the coil rotates at 400 revolutions per second, what must the area of the coil be to develop this emf?

Answers

The area of the coil must be 7.6 x 10⁻⁴ m².

Peak induced emf

The peak emf induced in a coil is determined by applying Faraday's law of electromagnetic induction as shown below;

emf(peak) = NBAω

Where;

ω is the angular frequency in rad/sA is the area of the coilN is number of turnsB is magnetic field strength

[tex]\omega = 400 \ \frac{rev}{ s} \times \frac{2\pi \ rad}{1 \ rev} \ = 2,513.6 \ rad/s[/tex]

[tex]A = \frac{emf (peak)}{NB\omega} \\\\A = \frac{4.2}{55 \times 0.04 \times 2,513.6} \\\\A = 7.6 \times 10^{-4} \ m^2[/tex]

Thus, the area of the coil must be 7.6 x 10⁻⁴ m².

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Put these 5 events in the correct order. Formation of Atoms, Time begins, Formation of Galaxies
Formation of subatomic particles, Formation of stars

Answers

Answer:

Time begins, Formation of subatomic particles, Formation of Atoms, Formation of stars, Formation of Galaxies

Explanation:

At the beginning right after the big bang time starts then sub-atomic particles forms i.e. protons, neutrons from this atoms form and after that stars and galaxies form.

a man is walking inside a bus which is travelling at 56.2 km/h.if the speed of the man relative to the ground is 55.8 km/h,is he walking towards the front or the back??​

Answers

Answer:

rawr

Explanation:

why is that the hunter can not aim at the fish he can see

Answers

Answer: Because the hunter will try to aim at the fish, but the image of fish he sees is actually the apparent image of the fish at a location.

Heres an image to help

Hope this helps!

Many of the rocks of the canyon wall appear as horizontal bands. What do the bands indicate about the way the rocks formed?

Answers

Given what we know, we can confirm that the bands indicate that the canyon was carved due to erosion caused by moving water.

What do these bands tell us about the canyon?

The bands are the result of sediments being deposited as the canyon was being formed. These sediments are deposited by the running water that carves the canyon. This results in horizontal bands that can tell us much about the history of the canyon as well as the river that formed it.

Therefore, we can confirm that the bands indicate that the canyon was carved due to erosion caused by moving water.

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which of the following can enter and exit an open system?
A. Matter but not energy
B. energy but not matter
C. Matter and energy
D. Neither energy nor matter

Answers

A open system that is open to its surroundings can trade both matter and energy.

In an open system, what is possible?

Both matter and energy can be transferred between an open system and its surroundings. The stovetop example would be regarded as an open system because heat and water vapour might be lost to the atmosphere. On the other hand, a closed system can only exchange energy, not matter, with the environment.

A system is considered to exist when energy can enter or escape it.

A closed system is a type of thermodynamic system in which mass is conserved within the system's boundaries but energy can easily enter or leave the system. Depending on what is being exchanged, the interactions between the system and its environment alter.

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Answer: C

Explanation:

i just took it

1. A cart moving at 5.0 m/s is brought to a stop by the force plotted in the force-time graph shown here. Find the impulse and the approximate mass of the cart. Show all your work

Answers

Answer:

Impulse is 0.4 x 18= 7.2

Explanation:

Impulse is defined as the integral of force over the time duration. When you do the integration of Newtons second law, momentum is

[tex]\int\limits^a_b {F} \, dt =\int\limits^a_b {\frac{dp}{dt} } \, dt[/tex]

= Δp

If momentum p is defined as the integral of force per unit time, then we can take the area under the curve to find momentum, as the area under the curve can approximate the integral of the function.

Therefore, to quickly summarize, taking the maximum force, 18N , multiplied by duration of the interaction, which is 0.5s-0.1s=0.4s, will give your momentum, in the units of  kg•m/s.

Hope that helps!

(a ) A 14 turns circular coil is placed on a paper which lies in 1.2 T magnetic field pointing inwards to the paper. The coil's diameter changes from 22.5 cm to 7.2 cm in 1.8 s.
(i) Determine the direction of the induced current. .
(ii) Calculate the magnitude of the emf induced in the circuit.
(iii) Calculate the induced current if the circular coil resistance is 7.5 Ω

(b) A circular coil of N turns with current 9.4 mA has an inductance 15 mH. Calculate
(i) magnetic flux linkage through the coil. (ii) radius of the coil if N = 420 turns.​

Answers

(i) The direction of the current will be in opposite direction to the magnetic field.

(ii) The magnitude of the emf induced in the circuit is 0.359 V.

(iii) The induced current if the circular coil is 0.048 A.

b(i) The magnetic flux linkage through the coil is 1.41 x 10⁻⁴ Tm².

b(ii) The radius of the coil is r√3 m.

Direction of the current

The direction of the current will be in opposite direction to the magnetic field.

Emf induced in the circuit

Initial area of the coil = (πd²)/4

Initial area of the coil = (π x 0.225²)/4 = 0.0398 m²

Final area of the coil = (π x 0.072²)/4 = 0.001296 m²

[tex]emf = \frac{NB(A_1 - A_2)}{t} \\\\emf = \frac{14 \times 1.2(0.0398 - 0.001296)}{1.8} \\\\emf = 0.359 \ V[/tex]

Induced current

I = emf/R

I = 0.359/7.5

I = 0.048 A

Magnetic flux linkage through the coil

Ф = LI

Ф = 0.015 x 0.0094

Ф =  1.41 x 10⁻⁴ Tm²

Radius of the coil

[tex]L = \frac{\mu_o N^2\pi r^2}{l} \\\\r^2 = \frac{Ll}{\mu_o N^2\pi } \\\\r = \sqrt{\frac{Ll}{\mu_o N^2\pi } } \\\\r = \sqrt{\frac{0.015(l)}{4\pi\times 10^{-7} \times (420)^2 \pi } } \\\\r = 3 \sqrt{l} \ m[/tex]

where;

l is length of the coil

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what is indoor noise pollution​

Answers

Answer:

Domestic gadgets like the mixer-grinders, pressure cookers, desert coolers, air- conditioners, exhaust fans, vacuum cleaners, sewing and washing machines are all indoor sources of noise pollution.

Explanation:

How much force is required to produce a turning force of 12 Nm at a distance of 0.72 meters from the pivot?
0.06 N
12.72 N
8.64 N
16.67 N

Answers

I think a will be the answer of

23. Electricity is a force. State whether true or false.
a) true b) false

Answers

Answer :

An electric force is the attracting or repulsive interaction between any two charged things. Newton's laws of motion, like any other force, define its influence on things.

Explanation:

Your answer True : )Hope its helps you ! : )

At a particular point near a second charge, a 50-µC charge experiences an attractive force of 2.0 N. What is the electric field strength at that point? Use [tex]10^{-6}[/tex] coulumb for 1µC.

Answers

The electric field strength at the point where 50 µC charge experienced an attractive force of 2.0 N is 4×10⁴ N/C

What is electric field strength?

This is simply defined as the force per unit charge. Mathematically, it is expressed as:

E = F / Q

Where

E is the electric field strength F is the force Q is the charge

How to determine the electric field strength

From the question given above, the following data were obtained:

Charge (Q) = 50 µC = 50×10¯⁶ CForce (F) = 2 NElectric field strength (E) =?

E = F/Q

E = 2 / 50×10¯⁶

E = 4×10⁴ N/C

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2) Show all the necessary steps clearly and briefly to proof the SI unit of angular momentum is (Newton meter second) [2Marks]​

Answers

Answer:

Key Points

When an object is spinning in a closed system and no external torques are applied to it, it will have no change in angular momentum.

The conservation of angular momentum explains the angular acceleration of an ice skater as she brings her arms and legs close to the vertical axis of rotation.

If the net torque is zero, then angular momentum is constant or conserved.

Key Terms

quantum mechanics: The branch of physics that studies matter and energy at the level of atoms and other elementary particles; it substitutes probabilistic mechanisms for classical Newtonian ones.

torque: A rotational or twisting effect of a force; (SI unit newton-meter or Nm; imperial unit foot-pound or ft-lb)

angular momentum: A vector quantity describing an object in circular motion; its magnitude is equal to the momentum of the particle, and the direction is perpendicular to the plane of its circular motion.Key Points

When an object is spinning in a closed system and no external torques are applied to it, it will have no change in angular momentum.

The conservation of angular momentum explains the angular acceleration of an ice skater as she brings her arms and legs close to the vertical axis of rotation.

If the net torque is zero, then angular momentum is constant or conserved.

Key Terms

quantum mechanics: The branch of physics that studies matter and energy at the level of atoms and other elementary particles; it substitutes probabilistic mechanisms for classical Newtonian ones.

torque: A rotational or twisting effect of a force; (SI unit newton-meter or Nm; imperial unit foot-pound or ft-lb)

angular momentum: A vector quantity describing an object in circular motion; its magnitude is equal to the momentum of the particle, and the direction is perpendicular to the plane of its circular motion.

Explanation:

yoo can somebody help me with this?

explain how to do this

Answers

Answer: 27˚

Explanation:

The sum of the angles in any triangle will always be 180˚. We know that two of the angles measure 63˚ and 90˚. So we can setup a simple equation to find x:

x + 63 + 90 = 180

x = 27˚

Answer:

im not sure if this is right but i would do the 90 degrees and the 63 degrees  so 90-63=27 degrees but im not sure

Explanation:

You are handed a spring that is 0.400 m long. You hang the spring from a hook on the ceiling and attach a 0.750-kg mass to the other end of the spring. The stretch spring length is 0.450 m. What is the Spring Constant?

Answers

Answer: 1.5 N/cm

Explanation: is it correct

The Spring Constant is  147 N/m.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.

A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

Given parameters:

Initial length of the spring = 0.400 m.

Final length of the spring = 0.450 m.

Change in length: Δx = 0.450 m - 0.400 m = 0.050 m.

Mass of the hung object = 0.750 kg.

Weight of the hung object: w = 0.750 × 9.8 N = 7.35 N

Hence, from Hooke's law,

the Spring Constant is = Weight of the hung object / Change in length

= 7.35 N / 0.050 m

= 147 N/m.

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calculate the velocity of radio wace of wavelenth 150nm with velocity 3 x 10^8

Answers

Refer to attachment! :)

hi im a little stuck on this question that came from my textbook in class it got a little confusing for me because i really dont know how to taxle this problem especially because of the fact that the problem is talking about pushing and not tension.
it writes
"A 1,480-N crate is being pushed across a level floor at a constant speed by a force F of 370 N at an angle of 20.0 degrees below the horizontal, as shown in the figure a below. The floor has some amount of friction. "

The questions ask me to make a "free-body diagram"
- write an equation each for the x & y components of the resultant force

-determine the normal force and lastly what exactly is the coefficient of kinetic friction between the crate and the floor

Answers

Consult the attached free body diagram.

By Newton's second law, the net force on the crate acting parallel to the surface is

∑ F[para] = (370 N) cos(-20°) - f = 0

(this is the x-component of the resultant force)

where

• (370 N) cos(-20°) = magnitude of the horizontal component of the pushing force

• f = magnitude of kinetic friction

The crate is moving at a constant speed and thus not accelerating, so the crate is in equilibrium.

Solve for f :

f = (370 N) cos(-20°) ≈ 347.686 N

The net force acting perpendicular to the surface is

∑ F[perp] = n - 1480 N - (370 N) sin(-20°) = 0

(this is the y-component of the resultant force)

where

• n = magnitude of normal force

• 1480 N = weight of the crate

• (370 N) sin(-20°) = magnitude of the vertical component of push

The crate doesn't move up or down, so it's also in equilibrium in this direction.

Solve for n :

n = 1480 N + (370 N) sin(-20°) ≈ 1606.55 N ≈ 1610 N

Then the coefficient of kinetic friction is µ such that

f = µn   ⇒   µ = f/n ≈ 0.216

What is the mass of a 330 N television? The acceleration due to gravity at the surface of Earth is 9.8 m/s^2

Answers

Answer: 33.7kg

Explanation:

Using Newton's 2nd Law, the force of gravity is equal to the mass times the acceleration:
[tex]F=ma[/tex]

The force would be the weight due to the gravitational field. And the acceleration would be the one due to gravity:

[tex]330N=m(9.8m/s^2)[/tex]

[tex]m=330/9.8[/tex]

[tex]m=33.7kg[/tex]

In the 3rd step of the experiment, the scientist heated sugar and water, until the sugar
was completely dissolved.
What type of mixture was created from the water and sugar solution?

Answers

Answer:

Homogenous Mixture

Explanation:

When the scientist heated sugar and water, until the sugar was completely dissolved, then the mixture is a homogeneous mixture, also known as a solution.

What is a mixture?

A mixture is a combination of two or more substances that are physically combined in a way that each retains its own identity and properties. The substances that make up a mixture are called components or constituents, and they can be either elements or compounds.

Mixtures can be classified as homogeneous or heterogeneous, depending on whether the components are uniformly distributed or not.

In a homogeneous mixture, the components are evenly distributed throughout the mixture, resulting in a uniform composition and appearance.

In a heterogeneous mixture, the components are not uniformly distributed, and the mixture may contain visible boundaries or phase separations.

Mixtures can be created by mixing substances together using physical methods, such as stirring, shaking, or heating. Unlike chemical reactions, which involve the formation of new substances with different properties, mixtures can be separated back into their individual components by physical means, such as filtration, evaporation, or distillation.

Here in the question,

The mixture created from the water and sugar solution is a homogeneous mixture, also known as a solution. In a homogeneous mixture, the components are uniformly distributed throughout the mixture, resulting in a uniform composition and appearance. In this case, the sugar molecules are evenly dispersed throughout the water molecules, creating a clear and transparent solution.

Therefore, The mixture created from the water and sugar solution is a homogeneous mixture,

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What do borrowers use to secure a mortgage loan? Check all that apply.

a credit card
a down payment
a house
land
a vehicle

Answers

Answer:

a house or a land is used to secure a mortgage loan

a house or a land is used to secure a mortgage loan. Hence option D is correct.

What is Loan ?

A loan is the lending of money by one or more persons, organisations, or other entities to other individuals, organisations, or other entities in finance. The recipient (i.e., the borrower) incurs a debt and is often required to pay interest on that loan until it is repaid, in addition to repaying the primary amount borrowed.

The paper demonstrating the loan (for example, a promissory note) will often indicate the principal amount borrowed, the interest rate charged by the lender, and the date of repayment. A loan is the temporary reallocation of the subject asset(s) between the lender and the borrower.

The interest serves as an inducement for the lender to make the loan.

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How long must a pendulum be to have a period of 4.6 5 on Neptune, where g = 11.15 m/s?​

Answers

Answer:

5.98 m

Explanation:

[tex]T=2\pi \sqrt\frac{L}{g}[/tex]

[tex]T^2=4\pi ^2L/g\\L = gT^2/(4\pi^2)[/tex] = 11.15*4.6²/(4π²) = 5.98 m

An astronaut has a mass of 85 kg. The acceleration due to gravity at the surface of Earth is 9.8 m/s^2. The acceleration due to gravity at the surface of Earth's moon is 1.6 m/s^2. Calculate his weight on the Earth’s moon.

Answers

Answer: 136 Newtons (136N)

Explanation:

Newton's Law of Gravitation states that the gravitational force is proportional to the masses of the two objects, and their separation distance between them. The proportionality constant is called Newtons constant denoted as capital 'G':

[tex]F=GMm/r^2[/tex]

Now, due to Newton's 2nd Law of motion, we know that a net force acting on an object causes an acceleration. We can also say that the force is:

[tex]F=ma[/tex]

Setting both of these equations equal to each other, we get:

[tex]ma=GMm/r^2[/tex]

The smaller 'm' will cancel giving that the acceleration is:

[tex]a=GM/r^2[/tex]

This is the equation which gives the gravitational field created from a source mass 'M'. To find the weight, find the product between the test mass and the gravitational field created by the source mass:

[tex]Weight=mass*acceleration[/tex]

[tex]W=ma[/tex]

[tex]W=(85kg)(1.6m/s^2)[/tex]

[tex]W=136N[/tex]

The units are Newtons due to weight being a force.

WILL GIVE BRAINLIEST PLS HELP!!

A student taking an Earth Science class tries to move a rock with a weight of 10,000 N. He strains and huffs and puffs but fails to budge the rock. How much work did your friend do?

Answers

Answer:

zero

Explanation:

zero, because no displacement

Below are advantages of the parallel circuit, except one. Which is it?


A.
Two or more pathways allow electric current to pass through

B.
Parallel circuit requires many wiring connections.

C.
Individual devices can be controlled

D.
When a bulb burns out, other bulbs continue to glow

Answers

Answer:

B

Explanation:

parallel circuits required m

In the diagram, which letter represents the angle of incidence?

Answers

Answer:

D.

Explanation:

the required angle is ∠PRS (for more info see the attachment), then it is D.

Answer: D

Explanation:

A loop of wire carries a conventional current of 0.5 amperes. The radius of the loop is 0.06 m. Calculate the magnitude of the magnetic field at a distance of 0.32 m along the axis of the loop, from the center of the loop.

Answers

Answer:

see below

Explanation:

:) A loop of wire carries a conventional current of 0.5 amperes. The radius of the loop is 0.06 m. Calculate the magnitude of the magnetic field at a distance of 0.32 m along the axis of the loop, from the center of the loop.

A certain resistance thermometer read 14.5 ohms in pure melting ice and 18.5 ohms in steam at standard atmospheric pressure what will be its resiatance at room temperature 27.0c

Answers

The resistance of the thermometer at room temperature is 15.04 ohms.

What is a resistance thermometer?

A resistance thermometer is a type of thermometer that measures temperature through a change in resistance.

To calculate the resistance of the thermometer at room temperature, we use the formula below.

Formula:

100/27 = 2/(x-14.5)..............Eqquation 1

Where:

x = Resistance of the thermometer at room temperature

Make x the subject of the equation

x = [(27×2)/100]+14.5x = (54/100)+14.5x = 0.54+14.5x = 15.04 ohms.

Hence, The resistance of the thermometer at room temperature is 15.04 ohms.

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A parallel plate capacitor has a potential difference between its plates of 1.6 V and a plate separation distance of 2.5 mm. What is the magnitude of the electric field if a material that has a dielectric constant of 3.4 is inserted between the plates

Answers

(a) The magnitude of the electric field of the material is 600 V/m.

(b) The magnitude of the electric field of the material in the presence of dielectric constant is 176.5 V/m.

Electric field of the material

The magnitude of the electric field of the material is calculated as follows;

E = V/d

where;

E is the electric fieldV is the potential difference between the platesd is the distance of separation

Substitute the given parameter into the equation above.

E = 1.5/(2.5 x 10⁻³)

E = 600 V/m

Electric field in the presence of dielectric constant

E = E₀/k

E = 600/3.4

E = 176.5 V/m

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In adolescence, friendships become less interethnic. Why might this be? Did this hold true for you in adolescence

Answers

Answer:

hi-

Explanation:

During the early teenage years, friendships become more intense, close and supportive. The amount that teenagers communicate with their friends increases. Teenage friendships tend to be based on personal similarity, acceptance and sharing. Same gender friendships are most common during the early high school years.

An unknown metal has a volume of 20.2 cm³ and a mass of 390 grams. What was the density of this metal?
Group of answer choices

11.3 g/cm³

8.9 g/cm³

7.8 g/cm³

19.3 g/cm³

Answers

[tex]\tt \rho=\dfrac{m}{V}[/tex]

ρ =  density

m = mass

V = volume

input the value:

[tex]\tt \rho=\dfrac{390}{20.2}=19.3~g/cm^3[/tex]

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