A father fashions a swing for his children out of a long rope that he fastens to the limb of a tall tree. As one of the children swings from this rope that is 5.70 m long, his tangential speed at the bottom of the swing is 9.10 m/s.What is the centripetal acceleration, in m/s2, of the child at the bottom of the swing?

Answers

Answer 1

Given,

The length is r=5.70 m

The tangential speed is r=9.10 m/s

The centripetal acceleration is:

[tex]\begin{gathered} a=\frac{v^2}{r} \\ \Rightarrow a=\frac{9.10^2}{5.70} \\ \Rightarrow a=\frac{14.52m}{s^2} \end{gathered}[/tex]

The acceleration is:

[tex]a=14.52m/s^2[/tex]


Related Questions

the circuit breaker that protects a power window circuit opens whenever the window is lowered. technician a says the internal resistance of the motor is too high. technician b says the window regulator may be sticking causing high mechanical resistance. who is correct?

Answers

Both technicians A and B are correct. Hence, option C.

An ammeter is used to measure the electrical current in the circuit. An ammeter should be placed into series with the circuit being tested.

The ammeter can be connected either on the power side or on the ground side of the motor but the only condition is it should be connected in the series.

Internal resistance refers back to the opposition to the float of cutting-edge supplied by using the cells and batteries themselves ensuing inside the era of heat. internal resistance is measured in Ohms. the connection among inner resistance (r) and emf (e) of cell s given through. e = I (r + R)

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Disclaimer:- your question is incomplete, please see below for the complete question.

The circuit breaker that protects a power window circuit opens whenever the window is lowered. technician a says the internal resistance of the motor is too high. technician b says the window regulator may be sticking causing high mechanical resistance. who is correct?

A. A only

B. B only

C. Both A and B

D. Neither A nor B

If a car travels 1,000 m in 60 seconds how fast is it going?

Answers

Answer:

see below

Explanation:

1000 m / 60 s = 16 2/3  m/s

Find the x-component of this
vector:
12.1 m
48.4°

Answers

The resultant distance of the vector is 12.1 m and the angle between two vectors are 48.4°. So the x-component of this vector is, Aₓ = 8.0335 m

What is vector?

Vector is a product that means a parameter has two types of property one is value second is direction. If a parameter has both then it called a vector quantity. Example: Velocity.

How can we calculate x-component of this vector?

To calculate the vector we know first this is a proper vector quantity or not. According to the question, this is a vector quantity. So it has two component, one along x axis another is y axis as shown in the picture.

We have to calculate the x-component, so we are using the formula is,

Aₓ = Acosθ

Here we are given,

A = The resultant distance of the vector = 12.1 m

θ= The angle between two vectors = 48.4°.

Now We have to calculate the x-component = Aₓ

Now we put the known values in the above equation, we get

Aₓ = Acosθ

Or, Aₓ = 12.1*cos(48.4°)

Or, Aₓ = 8.0335 m

According to the calculation we get, the x-component of this vector is, Aₓ = 8.0335 m

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Answer:

Explanation:

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if you throw a 0.4 KG ball at a speed of 20 m/s what is the kinetic energy between the balls motion

Answers

A moving item possesses kinetic energy. If we want to accelerate an object, we must exert a force. Applying force requires effort on our part. Once the process is complete and energy has been transferred to the item, it will begin to move at a new constant speed.

Kinetic energy is the energy that an object has as a result of motion. It is defined as the work required to accelerate a mass-determined body from rest to the indicated velocity. Unless its speed changes, the body retains the kinetic energy it gained during acceleration.

Using the formula - K.E. = 1/2 × m × v²

K.E. = 1/2 × 0.4 × 20²

K.E. = 80 kg m/s²

The energy of motion is called kinetic energy, and it can be observed in the movement of an object, particle, or group of particles. Any moving object, such as a person walking, a baseball being thrown, food falling off a table, or a charged particle in an electric field, utilizes kinetic energy.

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You are driving at the speed of 29.5 m/s
(66.0037 mph) when suddenly the car in
front of you (previously traveling at the same
speed) brakes and begins to slow down with
the largest deceleration possible without skidding. Considering an average human reaction,
you press your brakes 0.558 s later. You also
brake and decelerate as rapidly as possible
without skidding. Assume that the coefficient
of static friction is 0.708 between both cars’
wheels and the road.
The acceleration of gravity is 9.8 m/s
2
.
Calculate the acceleration of the car in front
of you when it brakes.
Answer in units of m/s
2
.
What is the frictional force acting on the
35 kg mass?
Answer in units of N

Answers

Answer:

honestly not sure what to do good luck though

two automobiles, each of mass 800 kg , are moving at the same speed, 18 m/s , when they collide and stick together. at what speed does the wreckage move if one car was driving north and one east?

Answers

14.14 m/s speed does the wreckage move if one car was driving north and one east

Based on the moment of momentum conservation in the x-direction,

1000 20 = (1000 + 1000) yields v _y v y = 10 m/s.

result = 14.14 m/s

What makes momentum so crucial?

An object's mass, velocity, and direction are all related by momentum. Force arises from any change in momentum. In order to ascertain the force exerted on the item, a change in momentum is utilised.

Force and momentum are distinct even though they appear to be the same physical quantity. Whether a body is being pulled or pushed, force is often defined as an outside action. The measure of how much motion there is inside a moving body is called momentum, on the other hand.

Unlike force, which refers to a push or pull action, momentum refers to the amount of motion in a moving body. Force modifies a body's momentum. While momentum varies while acceleration is constant, force does not.

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22. Determine If you walked 20 m, took a book from a library table, turned around and walked back to your seat, what are the dis tance traveled and displacement? please answer in full sentences​

Answers

Answers:

Distance = 40 meters

Displacement = 0 meters

============================================

Reason:

The distance traveled is simply the sum of the two distances 20 and 20 to get 20+20 = 40. It's what anyone would expect when they ask "how far did the person travel in total?"

The displacement is the change in position from start to end. In this case, the student ends up back where they started, meaning no change has happened. If the teacher closed their eyes and opened them after the student gets back, then for all the teacher knows, the student hasn't moved at all.

Put another way, displacement tells us how far away the student has ended up compared to the start position. But since they went back to the start, no change has occurred.

Laser light passing through two small slits produces a bright fringe centered at the midpoint on a distant screen because.

Answers

Laser light passing through two small slits produces a bright fringe centered at the midpoint on a distant screen because the light waves travel the same distance from each slit to the midpoint.

What are light waves?

Because it is composed of magnetic and electric fields, light frequently exhibits wave behavior and is thus categorized as such an electromagnetic wave. Magnetic fields are perpendicular to each other and fluctuate perpendicular to the wave propagation direction. These are referred to as transverse waves as a result.

What materials make up a light wave?

Photons are discrete energy packets that make up light. Photons move at the speed of light, possess momentum, and lack mass. Light possesses both wave-like and particle-like properties.

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a ball on the end of a string is whirled around in a horizontal circle of radius 0.300 m. the plane of the circle is 1.40 m above the ground. the string breaks and the ball lands 1.50 m (horizontally) away from the point on the ground directly beneath the ball's location when the string breaks. find the radial acceleration of the ball during its circular motion.

Answers

Radial acceleration of the ball during its circular motion is 41.8 m / s².

a = v ²/ r represents the circular motion acceleration.

In addition, they provide the X and Y positions at which the body will fall if the rope breaks.

x = v₀x t,

y = v₀x t-1/2gt²

because the circle is horizontal, the value of v0x is zero (v0x = 0).

X = v₀x t

t = x / v₀x

y = - 1/2 g t²

In order to determine the initial velocity on the X axis, let's replace it with y = − 12 g (x / vox) ²

v₀ₓ = √ [ (9.8) 1.6² / (21)]

v₀ₓ = 3.54 m / s

Its circle is in a horizontal position, so in addition to being the horizontal velocity, this is also the velocity of the body at the point of rupture.

The radial acceleration is now calculated using the formula

a = v² / r

a = 3.54² / 0.300

a = 41.8 m / s²

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The speed of sound depends on all of the following properties except:

a
Type of element
b
Composition of the medium or type of matter
c
Density
d
Temperature

Answers

Answer:

d: temperature

Explanation:

temperature doesn't have anything to do with sound

1. a circular coil 0.0500 m in radius, with 30 turns of wire, lies in a horizontal plane. it carries a counterclockwise (as viewed from above) current of 5.00 a. the coil is in a uniform 1.20 t magnetic field directed toward the right. find the magnitudes of the magnetic moment and the torque on the coil.

Answers

Magnetic moment of the given coil is 1.178 Am²

Torque of the given coil is 1.414 TAm²

Radius of the coil = 0.05 m

Number of turns in the coil = 30 turns

Current passing through the coil = 5 A

Magnetic field in the coil = 1.2 T

The current flows in counterclockwise direction. Therefore by thumbs rule, the magnetic field flows towards right side.

The magnetic moment of the coil

       M = N x I x A

where N is the number of turns in the coil

           I is the current passing through the coil

          A is the area of the coil

Let us substitute the known values in the above equation,

       M = 30 x 5 x πr²

           = 30 x 5 x 3.14 x (0.05)²

           =  471 x 0.0025

           = 1.178

The magnetic moment of the given coil is 1.178 Am²

The torque of the coil can be found using

          τ = M x B

where M is the magnetic moment and

           B is the magnetic field produced due to the coil.

 

        τ = 1.178 x 1.20

           = 1.414 TAm²

Therefore , the torque of the coil is 1.414 TAm²

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A woman of mass 57.6 kg is standing in an elevator.If the elevator floor pushes up on her feet with a force of 395 N, what is the acceleration of the elevator? Assume the +y-direction to be up. Enter a negative answer if the acceleration is downward and a positive answer if the acceleration is upward.If the elevator maintains constant acceleration and is moving at 1.50 m/s as it passes the fourth floor on its way down, what is its speed 4.00 s later?

Answers

There are two forces acting on the woman: the normal force of the floor of the elevator and the weight of the woman.

First, find the weight of the woman by multiplying its mass times the acceleration of gravity:

[tex]\begin{gathered} W=mg \\ =(57.6\operatorname{kg})(9.8\frac{m}{s^2})=564.48N \end{gathered}[/tex]

According to Newton's Second Law of Motion, the net force acting on an object relates to the acceleration of the object according to:

[tex]\Sigma F=ma[/tex]

Since the normal force of the floor is exerted upwards and the weight is exerted downwards, then:

[tex]\begin{gathered} \Sigma F=N-W \\ \Rightarrow N-W=ma \end{gathered}[/tex]

Isolate the acceleration from the equation:

[tex]\Rightarrow a=\frac{N-W}{m}[/tex]

Replace the values of the normal force (395N), the weight and the mass of the woman to find the acceleration of the elevator:

[tex]\begin{gathered} \Rightarrow a=\frac{395N-564.48N}{57.6\operatorname{kg}}=-2.94236\ldots\frac{m}{s^2} \\ \therefore a\approx-2.9\frac{m}{s^2} \end{gathered}[/tex]

Then, the acceleration of the elevator is 2.9 m/s^2 downwards.

Use the definition of acceleration to find the final speed of the elevator 4 seconds after the initial speed of 1.50 m/s downwards:

[tex]\begin{gathered} v_f=at+v_0 \\ =(-2.94\frac{m}{s^2})(4.00s)-1.5\frac{m}{s} \\ =-13.26\ldots\frac{m}{s} \\ \approx-13.3\frac{m}{s} \end{gathered}[/tex]

Therefore, the answers are:

The acceleration of the elevator is 2.9 m/s^2 downwards.

The final speed of the elevator 4 seconds after it had a speed of 1.50 m/s downwards, is 13.3 m/s downwards.

in a crash, rear seat passengers in a car a. can fly forward with incredible force, injuring or killing passengers in the front seat. b. are usually protected by the front seat. c. are more protected due to their distance from the impact point. d. all of the above

Answers

In a crash rear-seat passengers in a vehicle can fly ahead with first-rate force injuring or killing passengers in the front seat. Option A.

There is a common misconception that people are safer in the back seat, but the reality is that rear-seat passengers who are not buckled up are more likely to die in a crash. Upon impact, they're often thrown forward into the back of front seats with significant force. Sit upright and you will have the least chance of getting an auto injury.

It will keep you secure and will lower your risk for serious injury. Headrests also protect you in the event of an accident. consistent with a recent study by the Insurance Institute for Highway Safety IIHS the back seat is no longer the safest place. In fact, sitting in the front seat increases your chances of surviving a car accident.

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select the best answer. the logarithmic decrement is: a. the ratio of the damping in the system to the critical damping b. the ratio of the successive amplitudes in a time series c. the ratio of the damping in one system compared to another system d. the total damping present in the system

Answers

Logarithmic decrement is the ratio of successive amplitudes in a time series.

The logarithmic decrement δ is equal to the natural logarithm of the ratio of two successive maximum deflections x of oscillating quantity in the same direction:

δ = log( [tex]x_{1} /x_{2}[/tex])

Logarithmic decrement is used to find the damping ratio of an underdamped system in the time domain. It is defined as the natural logarithm of the ratio of any two successive amplitude on the same side of the mean line.

Therefore we get that logarithmic decrement is the ratio of successive amplitudes in a time series.

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Which is true of diffraction?It does not occur for light.It does not occur for sound. It occurs best when the slit width is less than the wavelength of a wave.

Answers

Diffraction is the change in a wave's direction as it travels around barriers. Diffraction is observed in both light and sound waves. This means that options 1 and 2 are wrong.

For any opening or slit, waves with longer wavelengths bend more than waves with shorter wavelengths. If the wavelength is smaller than the opening, it would be difficult for diffraction to occur. Thus, the correct option is

It occurs best when the slit width is less than the wavelength of a wave.

6. What is the acceleration of a 15 kg object being pushed with 200 N of force?

Answers

The acceleration of the object will be 13.33 m/s^2.

According to Newton's second law of motion,

The magnitude of Force is equal to the product of the mass of the body and the acceleration it is given ( or achieves ).

The units of force, mass and acceleration are Newton, kg and m/s^2 respectively.

In numerical terms,

Force = mass × acceleration

i.e. F = m × a

Given,

mass of the body = 15 kg

Force applied to the body = 200 N.

Putting these values in the equation,

200 = 15 × a

=> a = 200/15

=> a = 13.33 m/s^2.

Therefore, the acceleration of the given body will be 13.33 m/s^2.

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to negotiate a flat (unbanked) curve at a faster speed, a driver puts a couple of sand bags in his van aiming to increase the force of friction between the tires and the road. will the sand bags help?

Answers

Given the fact that the friction between the van and the road would increase, then the sand bags would help.

What is friction?

The term friction has to do with the force that opposes the movement of an object on another. This in a sense implies that the frictional force is a resistive force. It can help to slow an object down and this is why the braking system of a car operates on the principle of friction.

Now, we are told that to negotiate a flat (unbanked) curve at a faster speed, a driver puts a couple of sand bags in his van aiming to increase the force of friction between the tires and the road.

The task is to determine if the sand bags would be of help. We have to note that the sand bags would help to increase the friction between the car and the road so it would definitely be of help.

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how do astronomers measure that sunspots come in north pole / south pole magnetic pairs? how do they view the sun's magnetic field? from helioseismology and doppler shifts spectral lines can be split into multiple lines, further apart the stronger the magnetic field is from neutrino telescopes revealing where the proton-proton chain is broken from the motion of iron filings naturally streaming out of the radiation zone

Answers

The Zeeman effect, a feature of atoms, is used to quantify the solar magnetic field. To do this, scientists look at the spectral lines that originate from sunspots and calculate by how much these lines are split.

The Zeeman effect is the result of a spectral line splitting into many components when a static magnetic field is present. It bears the name Pieter Zeeman after the Dutch physicist who made the discovery in 1896 and won the Nobel Prize for it. The magnetic dipole interaction between the nuclear spin moment and the internal magnetic field at the nucleus is what causes magnetic splitting (also known as the nuclear Zeeman effect). Three different varieties of the Zeeman Effect can be seen: the standard Zeeman effect, the anomalous Zeeman effect, and the diamagnetic Zeeman effect. The Zeeman effect is the splitting of atomic energy levels caused by an external magnetic field. This effect is also known as the Bohr's Magneton and is further characterised by orbital and spin angular momentum.

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a tourist being chased by an angry moose is running in a straight line toward her car at a speed of 4.6 m/s. the car is a distance d meters away. the moose is 46.5 m behind the tourist and running at a speed of 10.8 m/s. the tourist reaches her car safely. what is the maximum possible value for d in meters?

Answers

A tourist was chased by a moose and run toward her car at a speed of 4.6 m/s. As the tourist reaches her car safely, the maximum possible value of the distance between her and the car was 34.5 m

Formula:

s = v . t

Where:

s = distance

v = velocity

t = time

The tourist reached her car safely means at minimum she had the same time with the moose to reach the car.

Tourist circumstance:

distance = d

v = 4.6 m/s

time to reach the car:

t_tourist = d / 4.6

Moose circumstance:

distance = d + 46.5

v = 10.8

time to reach the car:

t_mouse = (d + 46.5) / 10.8

t_tourist = t_mouse

d / 4.6 = (d + 46.5) / 10.8

(10.8 - 4.6) d = 46.5 × 4.6

6.2 d = 213.9

d = 34.5 m

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the chapley-curtis debate concerned the location of the chapley-curtis debate concerned the location of the milky way galaxy. center of the universe. the sun within the milky way galaxy. spiral nebulae.

Answers

Yes , Astronomer Edwin Hubble was able to determine the distance .

What is Shapley-Curtis debate ?

The dispute between Shapley and Curtis centered on the existence of other galaxies, with Curtis asserting the existence of other galaxies and Shapley asserting that the other nebulae observed were part of the Milky Way. The argument came to a final conclusion when Hubble was able to show that the Andromeda galaxy is over a million light years away and not part of our galaxy. We were able to determine the distance to a variable star in the Andromeda galaxy more than a year away.

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at an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. people sit in seats facing the axis, their backs against the outer wall. at one instant the outer wall moves at a speed of 3.09 m/s, and an 70.2 kg person feels a 560 n force pressing against his back. what is the radius of a chamber?

Answers

At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis and the radius of a chamber            r= 0.387 m

Given

  Mass of the person m = 70.2 kg

  speed v = 3.09 m/s

  Force F = 560N

-------------------------------------------

  We have the formula for the force is given by

           F = ( mv2) /r

 The radius of the chamber is given b y

          r = ( mv2) /F

           =  ( ( 70.2 kg)(3.09 m/)2) /(560N)

         r=0.387 m

A circle's or a sphere's radius is the distance along a line connecting its centre and perimeter. From any point on the circle's or sphere's circumference to the centre, the radius' length is constant. Its length is halved by its diameter. The radius is a line segment connecting the centre of a circle or sphere to its perimeter or boundary in geometry.You'll require more effort as you reduce the radius because you're dividing by a lower force.

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When a red hot piece of iron is put into boiling water what happens to the temperature of the water

Answers

Answer:

The temp of the water will remain the same...BUT some of the water will be converted to steam

Explanation:

Boiling water has reached its max temperature of liquid state....adding more heat will create steam ...at a constant water temp

an elevator of mass m is initially at rest on the first floor of a building. it moves upward, and passes the second and third floors with a constant velocity, and finally stops at the fourth floor. the distance between adjacent floors is h. what is the net work done on the elevator during the entire trip, from the first floor to the fourth floor?

Answers

From the first floor to the fourth floor, the elevator's net work during the entire trip is -3mgh.

Given,

On the first floor of a building, an elevator with mass m is initially at rest. It ascends at a constant speed, passing second and third floors before coming to a stop at the fourth floor.

the separation between the floors is h

The distance from the first floor to the fourth floor Equals 3 hours of work = -mg(3 hours)

= -3mgh

Work Done = -3mgh

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a 7.26 kg bowling ball and a 0.163 kg cricket ball are simultaneously dropped from a height of 10.0 m. what can you say about the velocity of the bowling ball, vb, compared to the velocity of the cricket ball, vc, when they hit the ground?

Answers

The velocity Vb of the bowling ball will be same as that of the cricket ball when dropped simultaneously from the same height. Because the velocity while hitting the ground is not dependent of mass.

Let us consider a general case,

Let us say the ball is dropped from a height H, its final velocity on reaching the ground is V, the acceleration g will be constant because everything is happening on the earth's surface and neglecting the air drag,

So, using equation of motion,

V ²-U²=2gH

U is the initial velocity in of the ball which is zero in our case,

So,

V²=2gH

V =√2gH

As we can see, the velocity on hitting the ground is independent of the mass.

So we can say,

Vb of the balling bowl is same as that of Vc on hitting the ground.

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the cliff divers of acapulco push off horizontally from rock platforms about 35 m above the water, but they must clear the rocky outcrops at water level that extend out into the water 5 m from the base of the cliff directly under their launch point. what minimum speed is necessary to clear the rocks? how long are they in the air?

Answers

The minimum speed necessary for the diver to clear the rocks 10.59m/s and the diver will be in air for about 2 seconds.

From the provided situation, we can analyze that the path of travel of the diver will be a projectile.

The maximum horizontal range is 35 meters.

And the height required is 5 meters.

We know, for a projectile,

Horizontal range R is given by U²sin(2A)/g

The height H attained is given by U²sin²A/2g

Dividing the height by range,

H/R = tanA/4

TanA = 20/7

Now, we can find,

SinA = 21.18

We know,

H = U²sin²A/2g

U²=2Hg/Sin²A

U²=2(5)(10)/(20/21.18)²

U = 10.59m/s.

The diver should start with speed of 10.59m/s to clear the rocks.

The time of flight is given by,

T = 2UsinA/g

Putting the values,

T = 2(10.59)(20/21.18)/10

T = 2 seconds.

The diver will be in air for 2 seconds.

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a projectile is launched horizontally with a speed of 80.0 m/s. if the projectile is launched from a hihg of 1.5 meter above the floor, how long does it take the projectile to hit ht efloor

Answers

The time taken by the projectile to hit the floor is 0.55 s.

What is projectile motion?

The projectile motion refers to the motion of an object or particle that is launched into a gravitational field, such as from the surface of the Earth, and travels along a curved path while only being influenced by gravity. A body is considered to be in projectile motion if it moves both vertically and horizontally (trajectory) from the point of flight to the point of landing.

This indicates that the projectile is initially thrown at a height of 1.5 meters and a speed of 80.0 meters per second.

Since the bullet is launched horizontally, the initial vertical velocity component is zero. Just figure out how long it takes something to fall 1.5 meters from a seated position. The 80 m/s is only important if you want to know where it will land on the ground. It has no bearing on the situation. We might be led to the fundamental Newtonian equation:

hf = v₀t + (a/2)t² + h₀

Here, h stands for height, v for speed, and a for acceleration. It might be difficult to resolve this for t in some circumstances, however since

v₀ = 0, this one is easy.

0 = (-9.8/2)t² + 1.5

-1.5 = -4.9t²

-1.5/-4.9 = t²

0.55 s = t

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If net force acting on object is 0, then the force is considered to be..

a. balanced
b. equal in direction
c. unbalanced
d. distance/time

Answers

If net force acting on object is 0, then the force is considered to be balanced (option A).

What is net force?

A net force refers to the sum of all the forces acting on an object.

The net force can accelerate a mass. Some other force acts on a body either at rest or motion. The net force is a term used in a system when there is a significant number of forces.

Fnet = F₁ + F₂ + F₃.............+ Fn

When the net force of an object is zero (0), this means that the sum of forces acting on the object is balanced. A balanced forces are forces that are opposite in direction and equal in size.

Therefore, a net force of 0 is a balanced force.

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a toaster is designed to operate with a voltage of 120 v, and a clothes dryer is designed to operate with a voltage of 240 v. based solely on this information, which appliance uses more power?

Answers

Answers are impossible given the information provided.

P=VI, P=VI, where V is the voltage, I is the current, and P is the power, gives the power in an electric circuit.

We cannot draw any conclusions from the voltage measurement alone because power depends on both voltage and current. The information provided is therefore insufficient.

Answers are impossible given the information provided.

Describe voltage.

A lamp can be lit when charged electrons (current) are compelled through a conducting loop by the pressure of an electrical circuit's power source. In a nutshell, voltage equals pressure and is expressed in volts (V).

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what is the force of an object that has a mass of 20 kg and is accelerating at a rate of 15 m/s/s

Answers

Formula for force: F = m • a (force equals mass times acceleration)

Acceleration: 15 m/s/s
Mass: 20kg


20kg • 15 m/s/s = 300 Newtons

a child moves on x axis at a starting point 10cm it moves till it reaches point 70cm then it goes back to 5.
What's the displacement?
What's the distance?

Answers

The displacement on x-axis is 75 cm and the distance that moved by the child is 80 cm

The term displacement refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. And distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

We are given that,

Starting point of child = d₁ = 10cm

Reaching point of the child = d₂ = 70cm

Move back = 5cm

Therefore, total distance covered by a child can be given as,

Δd = 10cm + 70 cm = 80 cm

Thus, the total distance is 80cm and a child moves back 5cm then the displacement would be given as,

Displacement = total distance cover - distance move back

Displacement = 80cm - 5 cm = 75 cm

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