The maximum speed of a 4.1 kg mass attached to spring is 0.78 m/s and the maximum force exerted on the mass is 13 N.
(a) what is the amplitude of motion for this mass?
(b) what is the force constant of the spring?
(c) What is the frequency of this system?

Answers

Answer 1

Start with the conservation of energy. The spring potential energy and the mass' kinetic energy will fluctuate over time, but their sum will stay constant. The maximum spring potential energy equals the maximum kinetic energy.

0.5mv² = 0.5kx²

m is the mass, v is the maximum velocity, k is the spring constant, and x is the maximum displacement along the spring.

Given values:

m = 4.1kg

v = 0.78m/s

Calculate the maximum kinetic energy.

Max KE = 0.5mv² = 1.247J

Set this equal to the maximum spring potential energy.

Max spring PE = 0.5kx² = 1.247J

x² = 2.494/k

The spring force is F = kx

Max F = kx = 13N

x = 13/k

x² = 169/k²

Set both values of x² equal to each other and solve for k the spring constant:

2.494/k = 169/k²

2.494k = 169

k = 67.8N/m

Use k to find x:

Max F = kx = 13N

67.8x = 13

x = 0.192m

The frequency of the system is given by:

f = (1/(2π))√(k/m)

f is the frequency, k is the spring constant, m is the mass.

f = (1/(2π))√(67.8/4.1)

f = 0.647Hz

Answer 2

The amplitude is the maximum distance from the mean position. The amplitude for the motion for the given mass is 2.658 m.

From the formula of Maximum velocity :

[tex]V_{max } = 2\pi fA[/tex]

For Amplitude:

[tex]A = \dfrac { V_{max}}{2\pi f} [/tex]

Where,

[tex]V_{max } [/tex] - maximum velocity of the mass =  0.78 m/s

[tex]f[/tex] - force exerted on the object  = 13  N

[tex]A[/tex]- amplitude = ?

Put the values in the formula and solve it for [tex]A[/tex],

[tex]A = \dfrac {13 }{2\pi \times 0.78 } \\\\ A = \dfrac {13}{4.89}\\\\ A = 2.658[/tex]

Therefore, the amplitude for the motion for the given mass is 2.658 m.

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Related Questions

The voltmeter reads 117 V and ammeter reads 0.13 A .If the resistance of ammeter and voltmeter are 9 kilo ohm and 0.015 ohm respectively ,find the value of R. 3marks

Answers

R = 899.985Ω.

The ammeter gives a lecture of  I = 0.13A through the resistor and  the voltmeter gives a lecture of V = 117V between the points a and c, the ammeter resistance is Ra = 0.015Ω. So, the voltmeter reading is the sum of the potential difference Vbc (through the ammeter) and Vab (through the resistor).

To obtain the voltage Vbc through the ammeter from its known current and resistance, Ohm's law is used.

Vbc = I*Ra = (0.13A)(0.015Ω) = 0.00195V

Vab = V - Vbc = 117V - 0.00195V = 116.99805V

We know that Vab = I*R. Clear R from the equation:

R = Vab/I = 116.99805V/0.13A = 899.985Ω

What does a meteorologist study?
A. The moon
B. Weather
C. Meteors
D. All rocks from space

Answers

Answer:

B

A meteorologist studies weather, such as a weather forecaster. :)

Answer: B. Weather

Explanation: A meteorologist studies weather, and can be a weatherman.

What force accelerates a 500 kg object at 5 m/s2? A. 25000 N B. 2000 N C. 250 N D. 2500 N

HELP ME PLEASE!!!

Answers

Apply Newton's second law of motion:

F = ma

F = force, m = mass, a = acceleration

Given values:

m = 500kg

a = 5m/s²

Plug in and solve for F:

F = 500(5)

F = 2500N

Choice D

Final answer:

The force that will accelerate a 500kg object at a rate of 5m/s2 is calculated using Newton's second law of motion. By applying the formula Force = Mass x Acceleration, we find that the force needed is 2500 N (Option D).

Explanation:

The force that will accelerate a 500kg object at a rate of 5 m/s2 is calculated using Newton's second law, also known as the law of motion. This law states that the force exerted on an object is equal to the mass of the object multiplied by the acceleration of the object. In this case, we can use this formula: Force = Mass x Acceleration. Substituting the values given, we have Force = 500kg x 5m/s2, which gives us 2500 Newton (N). So, option D (2500 N) is the correct answer.

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What are two examples of goods and two examples of services

Answers

The goods and the services make up the basis of every economy. The goods can simply be defined as merchandise or possessions. The services can be defined as the actions through which help is provided, or work is done for someone else. Example of goods are the food and furniture, with the food being crucial for the survival of the people, while the furniture is an essential part of every home and its practicality and decor. Examples of services are teaching and car repairing. The teaching is crucial for the development of the societies, as through it the people get education, while the repairing of cars is very important as lot of people have them, can not afford to buy new ones all the time, and they need for their daily movement over longer distances.

state Stoke's theorem​

Answers

Answer:

Explanation:

Stokes' theorem relates a surface integral of a the curl of the vector field to a line integral of the vector field around the boundary of the surface.

Final answer:

Stoke's Theorem relates the integral of differential forms over the boundary of a manifold to the integral of its exterior derivative over the manifold itself, commonly used in vector calculus and differential geometry.

Explanation:

Stoke's Theorem in mathematics is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus. According to Stoke's Theorem, the integral of a differential form over the boundary of a manifold is equal to the integral of its exterior derivative over the manifold itself. Mathematically, it is expressed as ∫₋Σdω = ∫Σω, where dω is the exterior derivative of the form ω, Σ is the manifold, and ∂Σ is its boundary.

It is a powerful tool in both theoretical and applied mathematics, and in physics, particularly in the fields of electromagnetism and fluid dynamics. In simple terms, it establishes a relationship between the flow of a vector field through a surface and the behavior of the vector field along the boundary of that surface. This theorem is used in the analysis of vector fields and is fundamental in the area of differential geometry.

Which of the following is the largest unit?
Hectogram
Dekagram
Decigram
Microgram

Answers

Final answer:

Of Hectogram, Dekagram, Decigram, and Microgram, the largest unit is the Hectogram, as it equals 100 grams which is much larger than the other options.

Explanation:

Among the options you provided: Hectogram, Dekagram, Decigram, and Microgram, the largest unit is the Hectogram. Here is why: measuring units in the metric system increase or decrease by powers of 10. A hectogram equals 100 grams which is significantly larger than a Dekagram (10 grams), a Decigram (0.1 gram), and a Microgram (0.000001 gram).

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find the period of a wave with a frequency 40 kHz​

Answers

We know that frequency is an inverse value of time [tex]f=\dfrac{1}{t}[/tex] this implies that time is the inverse value of frequency [tex]t=\dfrac{1}{f}[/tex].

Now since f is 40kHz, we can calculate period or duration for that matter time.

[tex]t=\dfrac{1}{40\mathbf{kHz}}=0.000025\mathbf{s}=25\mathbf{\mu s}[/tex]

Hope this helps.

r3t40

How many millimeters are in 8 meters?

Answers

Explanation:

8 m × (1000 mm / m) = 8000 mm

what is the process by which rock fragments are moved from the source

Answers

Answer:

Sedimentary

Explanation:

The process by which rock fragments are moved from the source is Sedimentary.

Answer:

Sedimentary

Explanation:

a process by which rock fragments are moved from the source

All objects moving in a circle experience a centripetal force. The form of centripetal force depends on the object in circular motion and the force causing the circular movement. Which of the following describes the correct centripetal force acting on an object moving in a circle?

The force of air resistance as a car drives around a corner.
The force of gravity as a satellite orbits a planet.
The force of air resistance as a ball on a string is spun in a circle.
The force of inertia as a person spins on a ride at an amusement park.

What is the maximum speed at which a car can safely travel around a circular track of radius 55.0 m if the coefficient of friction between the tire and road is 0.350?

2.60 m/s
4.39 m/s
13.7 m/s
43.0 m/s

Ciara is swinging a 0.015 kg ball tied to a string around her head in a flat, horizontal circle. The radius of the circle is 0.70 m. It takes the ball 0.60 seconds to complete one full circle. Calculate the tension in the string and its direction that provides the centripetal force acting on the ball to keep it in the circular path.

0.0077 N, toward the center of the circle
1.2 N, toward the center of the circle
0.0077 N, along the line tangent to the circle
1.2 N, along the line tangent to the circle

Answers

1. The force of gravity as a satellite orbits a planet.

According to Newton's first law, an object  stays at rest (or continue its motion with constant velocity) if the net force acting on it is zero.

This means that in order to have a circular motion (where the velocity changes, because the direction of motion constantly changes), we must have a net force acting on the object. This force is called centripetal force, and it always acts towards the centre of the circular trajectory.

An example of circular motion is a satellite orbiting a planet - in this case, the force of gravitational attraction between the planet and the satellite acts as centripetal force, keeping the satellite in circular motion.

2.  13.7 m/s

The centripetal force acting on an object is given by:

[tex]F=m\frac{v^2}{r}[/tex]

where

v is the speed of the object

m is its mass

r is the radius of the trajectory

In this situation, the centripetal force is provided by the frictional force, which is given by

[tex]F_f = \mu mg[/tex]

where

[tex]\mu[/tex] is the coefficient of friction between the tire and the road

g = 9.8 m/s^2 is the acceleration due to gravity

Equalizing the two forces,

[tex]\frac{v^2}{r}=\mu g[/tex]

where we have:

r = 55.0 m is the radius of the track

[tex]\mu=0.350[/tex] is the coefficient of friction

Solving for v, we find the maximum speed that the car can substain:

[tex]v=\sqrt{\mu g r}=\sqrt{(0.350)(9.8)(55.0)}=13.7 m/s[/tex]

3. 1.2 N, toward the center of the circle

In this situation, the tension in the string provides the centripetal force that keeps the ball in circular motion, so we can write:

[tex]T=m\frac{v^2}{r}[/tex]

where

T is the tension in the string

m = 0.015 kg is the mass of the ball

r = 0.70 m is the radius of the circle

v is the speed of the ball

Since the ball takes t = 0.60 s to complete one full circle, its speed is

[tex]v=\frac{2\pi r}{t}=\frac{2\pi (0.70)}{0.60}=7.33 m/s[/tex]

So now we can calculate the tension in the string:

[tex]T=m\frac{v^2}{r}=(0.015)\frac{(7.33)^2}{0.70}=1.15 N\sim 1.2 N[/tex]

And we said previously, since this force acts as centripetal force, its direction is towards the centre of the circle.

QUESTION 6
One important way to adapt to diverse cultures is to
form a social group by choosing others who are most like you
stay quiet if you witness prejudice or hate in action
avoid studying languages you do not already speak
look past external characteristics and get to know more about people
QUESTION 7
Stress does not tend to be high among college students.
True
False

Answers

Question 7 is false

Answer: 1. look past external characteristics and get to know more about people

2. False

Explanation:

1. The learning the past external characteristics and get to know about people who belong to diverse culture and their contribution for the overall society, region, state and nation is likely to bring the spirit of brotherhood. This will raise the feeling of unity and will help in adapting diverse culture.

2. The students of college are likely to get stress due to increase in complexity in studies. Some students also participate in extra-curricular activities along with studies which makes their schedule hectic and tiring this bring stress to their lives.        

Why can gases and liquids both transmit heat by convection?

A. Their particles are free to move away from each other.

B. They both have fixed volume.

C. They both contain charged particles.

D. Their particles both vibrate around fixed positions.​

Answers

Answer:

A. Their particles are free to move away from each other.

Explanation:

Answer:

Gases and liquids both transmit heat by convection because their particles are free to move away from each other (option A).

Explanation:

Convection is a process in which heat is transferred between two liquid substances, between two gaseous substances or a gas and a liquid when they are at different temperatures. The heat flux is produced from the body with the highest temperature to the substance with the lowest temperature.

The transmission of heat by convection is based on the actual movement of the molecules of a substance. Both liquids and gases are considered fluids where their particles are free to move away and move from each other. In solids particles vibrate around fixed positions and have a fixed volume .

Gases and liquids both transmit heat by convection because their particles are free to move away from each other (option A).

define1n force ? write down cgs unit of force​

Answers

Force is a vector, it has direction, it can move objects and it was well described with laws by physicist Isaac Newton by which the units of force were named Newtons (N).

Hope this helps.

r3t40

1 Newton is the force that accelerates 1 kg of mass at the rate of 1 m per sec^2.

In the cgs system, the unit of force is the dyne. That's the force that accelerates 1 gram of mass at the rate of 1 cm per sec^2.

So 1 Newton of force is 100,000 dynes.

What is one reason that writing clear step-by-step procedures is important?
A. It prevents you from faking results.
B. It makes repetition and replication easier.
C. It makes sure that no one copies your work.
D. It prevents anything from going wrong during the experiment.

Answers

Answer:

D. It prevents anything from going wrong during the experiment.

Explanation:

One reason that writing clear step-by-step procedures is important because it prevents anything from going wrong during the experiment.

Which of the following is true of semiconductors?

A. Exposing a crystal of a semiconductor to heat or light starts displacing valence electrons, which then move throughout the crystal.

B. A material is classified as a semiconductor if its resistance to the flow of electric current is too low to permit it to be called a conductor.

C. Neither free electrons nor holes are considered charge carriers in a semiconductor.

D. Gold and silver are important semiconductors

Answers

Answer:

A. Exposing a crystal of a semiconductor to heat or light starts displacing valence electrons, which then move throughout the crystal.

Explanation:

A semiconductor has several properties, the main two are:

1. Under no special treatment and polarization conditions, there can't be current flow through it due to the high resistance.

2. The semiconductor material can have special change in its structure (excess of electron or holes), to be conductive under certain polarization situations.

Final answer:

The correct answer is A, as semiconductors conduct electricity when valence electrons are displaced by heat or light, and these electrons move throughout the crystal. The other options are incorrect; semiconductors are not classified by low resistance, both free electrons and holes are charge carriers in semiconductors, and gold and silver are conductors, not semiconductors.

Explanation:

The correct answer to which of the following is true of semiconductors is A. Exposing a crystal of a semiconductor to heat or light starts displacing valence electrons, which then move throughout the crystal. Semiconductors like silicon have a filled valence band and an unfilled conduction band, with a relatively small energy gap between the two. When moderate amounts of energy, such as heat or light, are provided, electrons can move from the valence band to the conduction band, becoming free to move throughout the crystal and thereby conduct electricity.

Option B is incorrect because semiconductors are not classified by their low resistance, but by their ability to conduct electricity under certain conditions, such as temperature or doping with impurities. Option C is not true, as both free electrons and holes act as charge carriers in a semiconductor. Lastly, option D is incorrect because gold and silver are conductors, not semiconductors. They are known for their excellent ability to conduct electricity due to their many free electrons.

Semiconductors' unique properties are utilized extensively in the creation of integrated circuits (IC) and other electronics, including diodes and transistors that are fundamental to modern technology.

A bullet Is fired into a block of wood sitting on a block of ice. The bullet has an initial velocity of 800 m/s and a mass of .007 kg. The wooden block has a mass of 1.3 kg is and is initially at rest. The bullet remains in bedded in the blackboard afterward.

Assuming that momentum is conserved what is the velocity of the block of wood and bullet after the collision? Round to the nearest hundredths place.

What is the magnitude of the impulse that axle a block of wood in this process? Round to the nearest hundredths place.

Answers

Answer:

43.1

Explanation:

Mv=Mv

0.07*800=1.3*V

V=56/1.3

V=43.07

then 43.1

Answer:

[tex]v = 4.28 m/s[/tex]

[tex]Impulse = 5.57 kg m/s[/tex]

Explanation:

Here we can say that bullet + block system is an isolated system and there is no external force on it

So Net momentum of bullet + block system will remains conserved

So we will say

[tex]m v_o = (M + m) v[/tex]

so we will have

[tex]v = \frac{m}{M + m} v_o[/tex]

[tex]v = \frac{0.007 (800)}{1.3 + 0.007}[/tex]

[tex]v = 4.28 m/s[/tex]

Also in order to find the impulse on the block we know that

impulse = change in the momentum of the block

[tex]Impulse = m(v_f - v_i)[/tex]

[tex]Impulse = 1.3(4.28 - 0)[/tex]

[tex]Impulse = 5.57 kg m/s[/tex]


A 60 kg bungee jumper jumps from a bridge. She is tied to a bungee cord that is 15 m long
when unstretched and falls a total distance of 31 m. Calculate
(i) the spring constant of the bungee cord.
(ii) the maximum acceleration experienced by the jumper​

Answers

Answer:

(i) 140 N/m

(ii) 28 m/s²

Explanation:

(i)

At the top of the jump, the bungee jumper has gravitational potential energy.

At the bottom of the jump, the bungee jumper has elastic potential energy.

mgh = ½ kx²

(60 kg) (9.8 m/s²) (31 m) = ½ k (31 m − 15 m)²

k = 140 N/m

(ii)

At the bottom of the jump:

∑F = ma

kx - mg = ma

(140 N/m) (31 m − 15 m) − (60 kg) (9.8 m/s²) = (60 kg) a

a = 28 m/s²

Final answer:

The spring constant of the bungee cord is approximately found to be 36.75 N/m, and the maximum acceleration experienced by the jumper is approximately 7.6 m/s^2.

Explanation:

To answer the first part of your question: (i) the spring constant of the bungee cord, we will use Hooke's law which states: F = kx. Here, 'F' is the force, 'k' is the spring constant, and 'x' is the distance stretched. Because the bungee jumper is in free fall, the force acting on her is equal to her weight, so F = m*g = 60kg * 9.8m/s^2 = 588N. The distance stretched would be the total distance fallen minus the original length of the cord, so x = 31m - 15m = 16m. Hence, the spring constant k = F/x = 588N / 16m = 36.75 N/m.

For the second part: (ii) the maximum acceleration experienced by the jumper, when the jumper is at the bottom of the fall, the potential energy has completely converted to elastic potential energy. Thus, .5*k*x^2 = m*g*h. Substituting the found values of k and h (total distance), you can solve for the acceleration, which is approximately 7.6 m/s^2.

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6. A water brake copupled to an engine on test absorbs 70 kW of power. Find the heat generated at the brake per minute and the mass flow of fresh water through the brake , in kg/min if the temperature increase of the water is 100 C .Assume all the heat generated is carried away by the cooling water

Answers

Answer:

4200 kJ

10 kg/min

Explanation:

70 kW means 70 kJ per second.  So in a minute, the amount of heat generated at the brake is:

70 kJ/s × 60 s/min = 4200 kJ

Heat = mass × specific heat capacity × increase in temperature

4200 kJ = m × 4.184 kJ/kg/C × 100 C

m = 10 kg

So every minute, 10 kg of water is heated.  So the mass flow is 10 kg/min.

20. Which of the following is an accurate statement?
A. DC generators produce current with a voltage that changes from positive to negative
B. AC generators produce current that's pulsating but always remains positive,
C. Step-up voltage transformers have fewer turns in the primary than in the secondary winding.
D. Step-down voltage transformers have a different number of turns in the primary than in the secondary winding, so they change the incoming voltage to a higher voltage​

Answers

A transformer consists of two loops of wire with an AC current going through the "primary" loop inducing a voltage, and therefore a current, in the "secondary" loop.

The ratio of the induced voltage in the secondary loop to the voltage in the primary loop is equal to the ratio of the number of turns in the secondary loop to the number of turns in the primary loop.

A step-up transformer is designed to make the induced voltage in the secondary loop greater than the voltage in the primary loop. This requires the primary loop to have fewer turns than the secondary loop.

Choice C

A step-down voltage transformer changes incoming voltage to a lower voltage by having a different number of turns in the primary than in the secondary winding.

A step-down voltage transformer has a different number of turns in the primary than in the secondary winding, which allows it to change the incoming voltage to a lower voltage. Transformers are devices that work with alternating current (AC) voltages, where the current direction and voltage polarity alternates back and forth. The number of windings in the primary and secondary coils determine whether a transformer is a step-up or step-down transformer.

chromatic aberration affected:
a. spectrographs
b. radio telescopes
c. refracting telescopes
d. reflecting telescopes

Answers

Answer: c. refracting telescopes

Explanation:

Refracting telescopes have an optical system consisting of a set of lenses that have the property of deflecting (refracting) the light that passes through them.

In this way, the images captured from distant objects converge on a point in the focal plane of the telescope.

However, the main disadvantage of this type of telescope is the chromatic aberration, which produces annoying color halos (mainly red and blue) around the image.

It should be noted that the chromatic aberration occurs because the different wavelengths that make up the light (the colors of the light) that passes through the objective lens deviate (refract) in different ways, causing them not to focus on the same point. For example,  blue wavelengths are focused before the green wavelengths and these before the red ones. And this problem is stronger the shorter the focal length of the lens is.

Answer:

C

Chromatic aberration affected:

spectrographs

radio telescopes

refracting telescopes

reflecting telescopes

Which of the following is an example of the geosphere interacting with the hydrosphere? A. Rain falls from clouds. B. Humans mine diamonds. C. Forest fires produce gases. D. Top soil is eroded by rain water.

Answers

D

hydrosphere-- anything to do with water

geosphere -- the rocks and soil

topsoil (geosphere) is eroded by rainwater(hydrosphere)

Answer:

D

Explanation:

To determine a waves frequency you must know the??

Answers

Answer: I think, the number of oscillations in a given period of time.

Explanation: Well I guess because in a period time is known as the rate of occurrence of the wave. Hope this helps!

To determine the frequency of a wave you must measure by counting the number of high points of waves that pass the fixed point in 1 second or some other time period.

What is the frequency of the waveform?

Wave frequency is the number of waves that pass a fixed point at a particular time. The SI unit of wave frequency is hertz (Hz). Here, 1 hertz corresponds to a wave passing through a fixed point every second. High frequencies have more energy than low frequencies of the same amplitude.

The relationship between wavelength and frequency is called the reciprocal because the higher the frequency, the shorter the wavelength.

In addition to the defined speed, each wave has a frequency. This is the number of wavelengths that pass a point per second. Frequency is measured in Hertz (wavenumber per second).

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Engineers at a technology company are designing a new battery for the next generation of cell phones. How will knowing the about the molecular structure of different metals help them choose the best materials?

help me please!!!

Answers

Answer:

closely molecules materials are the best compared to far apart molecule materials

Explanation:

closely molecules materials are easily charged and loose charge slowly while far apart molecules materials get charged slowly wand loose charge faster

Answer:Explained

Explanation:

Engineers at a technology company should know about the structure of different metals because a battery works on chemical reaction occurring inside in it.If a wrong metal is chosen then chances of spilling or even explosion can occur. Moreover knowledge of metal may help them to make battery light and tougher which can withstand an elevated temperature.

During an experiment, you take a measurement of 3.5 inches. What is this
measurement in centimeters? 1 in = 2.54 cm.
A. 3.5 cm
B. 8.89 cm
C. 1.38 cm
D. 12.5 cm

Answers

B. 8.89 (hope this helped.)
You can solve by just doing 3.5in * 2.54
Final answer:

The conversion of 3.5 inches to centimeters using the conversion rate of 1 inch equals 2.54 cm results in a value of 8.89 cm.

Explanation:

To convert the measurement from inches to centimeters, we need to use the conversion rate given in the question, i.e., 1 inch equals 2.54 centimeters. In this case, since we have a measurement of 3.5 inches, we multiply 3.5 by 2.54 to find the measurement in centimetres.

So, 3.5 inches * 2.54 cm/inch = 8.89 cm. Therefore, the measurement of 3.5 inches in centimeters is equal to 8.89 cm which corresponds to option B.

So option B.8.89 cm is the correct answer.

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Which of the following statements is most likely to be true of pseudoscience?
O
A. Spokespersons are paid for their testimony
O
B. Data are collected by an unbiased research group.
O
C. Spokespersons are respected members of the scientific
community
O
D. Experimental evidence is used to back up a claim.

Answers

C. spokesperson are respected members of the scientific community

Answer:

The answer is A.  Spokespersons are paid for their testimony.  Psueoscience is NOT a real science.

Explanation:

Choose the letter of the answer that best completes
the statement or answers the question.
1. If a vehicle increases its speed from 20 mph to 60
mph, its braking distance will increase by
a. 3 times.
b. 4 times
c. 9 times.
d. 40 times.

Answers

The letter C would be the correct answer.

Answer:

The answer is:

c) 9 times

Explanation:

20/60= 3 x 3=9

Type the correct answer in the box. Use numerals instead of words.
input force:
52N
input forcen
output force: 156 N
The mechanical advantage shown in the image is

Answers

Answer:

3

Explanation:

The mechanical advantage is the ratio of the output force to the input force.

MA = 156 / 52

MA = 3

Final answer:

The mechanical advantage in the scenario provided, where the input force is 52N and the output force is 156N, is calculated to be 3.

Explanation:

The mechanical advantage of a simple machine tells us how many times the input force is multiplied by the machine. To calculate the mechanical advantage (MA), you divide the output force by the input force. Given an input force of 52N and an output force of 156N, the mechanical advantage would be calculated as MA = Output Force / Input Force = 156N / 52N = 3.

A softball player hits a ball at
29.5 m/s at a 33.0° angle. An
outfielder catches the ball at the same height. How far was the
outfielder from the hitter?

Answers

Answer:

81.1 m

Explanation:

Given:

x₀ = 0 m

y₀ = y = 0 m

v₀ₓ = 29.5 cos 33.0° m/s

v₀ᵧ = 29.5 sin 33.0° m/s

aₓ = 0 m/s²

aᵧ = -9.8 m/s²

Find:

x

First, find the time it takes to land.

y = y₀ + v₀ᵧ t + ½ aᵧt²

0 = 0 + (29.5 sin 33.0) t - 4.9 t²

t = (29.5 sin 33.0) / 4.9

t = 3.28 s

Now in the x direction:

x = x₀ + v₀ₓ t + ½ aₓt²

x = 0 + (29.5 cos 33.0) (3.28) + 0

x = 81.1 m

The outfielder was 81.1 meters away.

Two objects attract each other with a gravitational force of 25 newtons from a given distance. If the distance between the two objects is reduced by a factor of 5, what
is the changed force of attraction between them?
A.
5 newtons
B.
50 newtons
C.
125 newtons
D.
625 newtons

Answers

Answer:625

Explanation:

The gravitational force between two object sets is onversly proportional to the square of the distance between the objects.if the distance reduces by a factor of 5 the force will increase by a factor of 5^2=25

The changing force of attraction between them is 625 Newtons

The answer is option D.

The gravitational force between two object sets is inversely proportional to the square of the distance between the objects. If the distance reduces by a factor of 5 the force will increase by a factor of 5^2=25

What is gravitational force?

The gravitational force is a pressure that draws any two objects with mass. We call the gravitational pressure attractive as it usually attempts to pull masses together, it in no way pushes them aside. In reality, every object, including you, is pulling on every other item inside the complete universe.

Learn more about gravitational force here: https://brainly.com/question/25624188

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What must a magnet always have?

Answers

Answer:

Every magnet has both a North and a South pole. When you place the North pole of one magnet near the South pole of another magnet, they are attracted to one another. When you place like poles of two magnets near each other (North to North or South to South), they will repel each other.

Answer:

All magnets, regardless of their shape or application, must have two poles, the north pole (N) and the south pole (S), which are called magnetic poles.

Explanation:

Magnets are ferromagnetic materials that have the property of attracting or repelling other magnets. In addition, it is characteristic for materials of this nature (ferromagnetic) to be strongly magnetized in the presence of a magnetic field.

All magnets, regardless of their shape or application, must have two poles, the north pole (N) and the south pole (S), which are called magnetic poles. Another important characteristic of magnets is the inseparability of the magnetic poles, that is, it is not possible to find a magnet with only the north pole or only with the south pole. Thus, when a magnet is broken, it will give rise to two new magnets and the polarity of these new magnets will depend on the way in which it partitioned.

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