A 0. 0850-kg arrow is fired horizontally. If the bowstring exerts an average force of 89. 0 n on the arrow over a distance of 0. 782 m, with what speed does the arrow leave the bow?.

The net force that acts on the plane's 106 kg pilot is 151.58N.

The net force acting on an object is the result of all pushing and pulling forces acting on the object collectively (the sum). If there is an imbalance in the pushing and pulling forces acting on an object, the object will accelerate in the direction of the net force.

All forces acting on an object are added together to form the "net force." If the object is not moving, then this net force must be equal to zero, according to Newton's First Law.

acceleration a = F/m

a =  38700/ 26900

a = 1.43m/s²

F = ma

F = 106×1.43

F = 151.58N.

To know more about net force visit:

https://brainly.com/question/18109210

#SPJ4

Answer:

The fact that change in moment is equal to force times duration can be derived from Newton's Second Law of Motion (assuming that the net force on the object is constant.)

Explanation:

Let [tex]m[/tex] denote the mass of an object. Let [tex]\Delta v[/tex] denote the change in the velocity of this object. The change in momentum of this object will be [tex]\Delta p = m\, \Delta v[/tex].

Let [tex]F_{\text{net}}[/tex] denote the net force (resultant force) on the object. Let [tex]a[/tex] denote the acceleration of this object. By the law of motion, [tex]F_{\text{net}} = m\, a[/tex], or equivalently, [tex]a = (F_{\text{net}} / m)[/tex].

Assume that this net force is constant and is exerted on this object over a period of [tex]\Delta t[/tex]. With an acceleration of [tex]a = (F_{\text{net}} / m)[/tex], the velocity of this object would have changed by:

[tex]\begin{aligned}\Delta v &= a\, \Delta t \\ &= \left(\frac{F_{\text{net}}}{m}\right)\, (\Delta t) \\ &= \frac{F_{\text{net}}\, \Delta t}{m}\end{aligned}[/tex].

Multiply both sides of this equation by the mass [tex]m[/tex] of the object to obtain:

[tex]m\, \Delta v = F_{\text{net}}\, \Delta t[/tex].

Note that [tex]m\, \Delta v[/tex] is equal to the change in momentum ([tex]\Delta p = m\, \Delta v[/tex].) Therefore, if the net force [tex]F_{\text{net}}[/tex] on the object is constant, the change in the momentum [tex]\Delta p[/tex] over time period [tex]\Delta t[/tex] will be equal to [tex]F_{\text{net}}\, \Delta t[/tex] (net impulse on the object.)

When an astronomer rambles on and on about the luminosity of a star she is studying, she is talking about  the amount of energy the star gives off each second.

Luminosity and apparent brightness are about brightness, but from a different point of view. The difference between luminosity and apparent brightness is that luminosity tells us exactly how bright a star really is while apparent brightness only tells us its brightness seen from Earth.

L / Lsun = ( d / dsun )² = b / bsun

L = Luminosity of a star

Lsun = Luminosity of sun

d = Distance of star

dsun = Distance of sun

b = Brightness of star

bsun = Brightness of sun

Therefore, when an astronomer rambles on and on about the luminosity of a star she is studying, she is talking about  the amount of energy the star gives off each second.

To know more about luminosity

https://brainly.com/question/13945214

#SPJ4

A light, inextensible cord passes over a light, frictionless pulley with a radius of 8.9 cm. It has a 19 kg mass on the left and a 2.6 kg mass on the right, both hanging freely. The rate at which the two masses are accelerating when they pass each other is 7.44 m/s². The tension in the cord is 44.84 N.

What is tension of wire ?

In physics, tension is the force exerted on one or more bodies by ropes, cords, cables, or similar bodies. Anything that is pulled, hung, supported, or swung by a rope, cord, cable, etc., is subject to tension. Like all forces, stress can accelerate or deform objects.

Using Newton's Law to the mass m₁

m₁ g - T = m₁ a

where;

the tension T = m₁ (g -a) ----- Let this be equation (1)

For mass m₂,  

T - m₂ g = m₂ a   ------- Let this be equation (2)

equation both equation (1) and (2) together;

By rearrangement and collecting like terms;

a(m₂ + m₁) = g(m₁ - m₂)

Making acceleration (a) the subject of the formula:

a = 7.44 m/s²

According to equation (1), the cord's tension is:

Tension (T) = m1 (g -a)

T = 19(9.8 - 7.44) (9.8 - 7.44)

T = 19(2.36) (2.36)

T = 44.84 N

From this we can conclude that the speed at which the two masses accelerate as they pass each other is 7.44 m/s² and the tension in the cord as they pass is 44.84 N.

Learn more about tension here:

https://brainly.com/question/15880959

#SPJ13

The neighborhood can help children build new relationships by holding a winter festival with activities for children and families.

In today's world, where everyone is quite busy in their own world, children have academic pressure and many more.

They tend to detach themselves from people, and hence many relationships ruin.

Building relationship helps the children grow and makes them more sociable. It boots their intelligence and makes them aware of the importance of having a relationship and building bonds with people.

The neighborhood holds a winter festival with activities for children and families is a great way to build new relationships.

To read more about building relationships, visit https://brainly.com/question/1045412

#SPJ1

When rock on Earth's surface is broken into smaller pieces, forming loose material  is called Weathering.

Physical weathering and chemical weathering are the two basic types of weathering. On this page, we discuss mechanical weathering (and more).

Rocks naturally fracture at a number of different levels. The borders between mineral grains can be a source of weakness in the rock. Sedimentary rocks are frequently stratified, and the layers are occasionally not tightly bonded together. As larger, more massive rocks are exposed by erosion, joints (cracks with no relative motion across them, merely spreading) may form in the rocks. These rock fissures become wider due to physical deterioration. Of course, biological weathering refers to weathering caused by living creatures.

To know more about  Weathering visit : https://brainly.com/question/14426457

#SPJ9

Answer:

250N

Explanation:

weight of object - air resistance= net force

weight=mg

=30×10

=300N

air resistance =50

300-50=250

The average human walks at a speed of 5 km per hour. If your PE teacher asks you to walk for 40 minutes in gym class, you would walk for 3 Km.

The average speed is the  displacement of a particle divided into a time in which the displacement occurs. Instead, instantaneous speed is the limit of the average speed as the time interval approaches zero.

Usually,

Speed = Distance/ Time

Assuming you also walk with the average human walking speed of 5 km/h. We know the above formula of speed and now making distance the subject, distance is a product of speed and time.

Here, time is 40 minutes and if expressed in hours can be converted as,

40/60 = 0.6 hours.

Distance = 5 × 0.6

             = 3 km

Thus,the average human walks at a speed of 5 km per hour. If your PE teacher asks you to walk for 40 minutes in gym class, you would walk for 3 Km.

Learn more about Average speed,

https://brainly.com/question/13263542

#SPJ1

The number of waves that pass by each second is the frequency of a wave, which is expressed in Hertz (Hz). For instance, a sound wave may have a frequency of 450 Hz.

The wave frequency is the quantity of waves that pass a certain location in a predetermined amount of time. The SI unit for wave frequency is the hertz (Hz), and 1 hertz is equal to 1 wave passing through a fixed point in 1 second. When two waves of equal amplitude and frequency are compared, the higher frequency wave has greater energy.

Divide the wave's velocity by its wavelength to determine its frequency. The unit for frequency is Hertz (Hz), so use that while writing your response. The frequency will be the inverse of the time, or 1 divided by T, if you need to determine it from the amount of time it takes for a wave cycle to complete, or T.

To learn more about  frequency of wave refer to:

https://brainly.com/question/25699025

#SPJ4

Answer:

Pressure = 223 kPa

Explanation:

Given:

p₁ = 112 kPa = 112 000 Pa

t₁ = 35°C;    T₁ = 273 + 35 = 308 Pa

t₂ = 340°C;    T₂ = 273 + 35 = 613 Pa

V - const

___________

p₂ - ?

Charles' law:

p₁ / T₁ = p₂ / T₂

The pressure:

p₂ = p₁·T₂ / T₁

p₂ = 112 000·613 / 308 ≈ 223 000 Pa   or  p₂ = 223 kPa

Answer:

The change in momentum of the ball = 81 kg·m/s

Explanation:

Given:

m = 1.5 kg

V₁ = - 27 m/s

V₂ = + 27 m/s

____________

Δp - ?

The change in momentum of the ball:

Δp = m·ΔV

Δp = m· (V₂ - V₁) = 1.5·(27 - (-27)) = 1.5·(27 + 27) = 81 kg·m/s

Answer:

4,275

Explanation:

formula:1/2mv square

1/2×190×45=4,275

the final velocity of the car (in m/s) after the collision is 6.25 m/s

12.5 m/s is moving in the initial direction of the car

1. A car of mass 1500 kg moving at a speed of 25.0 m/s collides with a truck of mass 4500 kg at rest. the bumpers of both vehicles lock on impact.

A. Compare the force exerted by the car on the truck with the force exerted by the truck on the car during the collision. Is one force greater than the other, or are they equal in magnitude?

the force exerted by the car on the truck and the force exerted by the truck in the collision.

creates a pair of actions and reactions

are equal in magnitude and opposite in direction according to Newton's third law

b. What is the final speed of the car and the truck just after the collision? show your calculations.

v=m1u1+m2u2/m1+m2=1500*25+0/1500+4500=6.25 m/s

2. the same collision as in the above question occurs, but this time the car and truck bounce off each other completely elastically.

C. Compare the force exerted by the car on the truck with the force exerted by the truck on the car in the collision. is one force greater than the other or are they equal?

the force exerted by the car on the truck and the force exerted by the truck in the collision.

creates a pair of actions and reactions

are equal in magnitude and opposite in direction according to Newton's third law

d. what is the final speed of the car and truck just after the collision?

view the calculation

v1=[m1-m2/m1+m2]u1+[2m2/m1+m2]u2=[1500-4500/6000]*25+[9000/6000]*0=-12.5 m/s

a negative sign means the car is moving backwards at 12.5 m/s

v2=[m2-m1/m1+m2]u2+[2m1/m1+m2]u1=[4500-1500/6000]*0+[3000/6000]25=12.5 m/s

moves in the original direction of the car

Learn more about collision here:

https://brainly.com/question/13138178

#SPJ4

We first apply the data to the problem.

Data:

Now, we convert the minutes to hours.

Conversion:

Then, we apply the formula that is.

Formula:

Finally we develop the problem.

Developing:

The distance traveled by the kangaroo is 30 kilometers.

(a) For the first 50 m:

h1 = 0.5 x a x t12

50 m = 0.5 x 9.8 m/s2 x t12

t1 = 3.19 s

Time to fall first 50 m = 3.19 s

(b) For the full 100 m:

h2 = 0.5 x a x t22

100 m = 0.5 x 9.8 m/s2 x t22

t2 = 4.52 s

Time to fall second 50 m = t2 - t1 = 1.33 s

Dropped rocks and other objects gain speed rapidly as they fall. Velocity defines the direction in which a body or object is moving. Velocity is primarily a scalar quantity. Velocity is basically a vector quantity. Rate of change of distance.

If our planet loses gravity for even 5 seconds it means the end of life on Earth as we know it. Gravity pulls objects together. The greater the mass of an object, the stronger its gravitational pull. Any submarine you choose for skydiving should be designed with movement in mind. If the weather is cool on the day of skydiving, you should choose pants that cover the entire leg. We recommend wearing sweatpants or sweatpants.

Learn more about A rock here:-https://brainly.com/question/25846908

#SPJ4

The planets move on linear motion without acceleration. Motion in one spatial dimension is described as linear motion, often known as uniform motion or rectilinear motion.

Moving in a straight line is the motion that an object naturally exhibits. A forceless item will move in a straight line indefinitely, according to Newton's First Law of Motion.

An object is said to be moving linearly when it has a tendency to move in a straight line. Rectilinear motion is another name for linear motion. Many of the things we do every day, like walking, bowling, playing on a slide, etc., exhibit linear motion in reality.

Both the ultimate displacement and the velocity are positive, indicating that they are moving in the same direction. The link between displacement, average velocity, and time is described by the equation x = x0+(average v)t.

To learn more about Linear motion refer to:

https://brainly.com/question/28225697

#SPJ4

With the aid of your spectroscope and E = (h*c)/wavelength, you can determine the energy of the emitted light to be 3.97 x 10-19.

mathematical representation The movement v (in the x direction), frequency f, and wavelength of traveling sinusoidal waves are frequently expressed mathematically as follows: where y is the value of the wave at any place x and time t, and A is the wave's amplitude.

The symbol for the wavelength in the SI is typically m, or one metre. The multiples or fractions of something like a meter are also employed for measuring wavelength. Notably, when wavelengths are a significant attribute, exponential powers of 10 are employed. Shorter wavelengths are given as negative exponentials.

To know more about wavelength visit:

https://brainly.com/question/12924624

#SPJ4

The distance between the moth and its image in the mirror is equal to the distance between the moth and your eyes, which is equal to 43.7 centimeters.

The distance from the moth to its image is 16.4 cm, which is equal to 48.8 cm, because it's a plane mirror. So, if you want to know how far away from you the moth looks like it is, just subtract 48.8 cm (the distance between your eyes) from 16.4 cm (the distance between you and the moth).

The angle between these two objects is 48 degrees,

so S = 1/2  2  sin(48)

= 0.958 meters.

Moth + Mirror (dist1) + Me (dist2) = 48 * 0.958 = 43.7 centimeters

To learn more about mirrors visit: https://brainly.com/question/3795433

#SPJ4

Solution: given that; velocity (v)=60km/hr, distance (d)=500km, time (t)=? From velocity=distance/time....... :. 60=500/t, cross-multiply..... 60t=500, divide both sides by 60...... 60t/60=500/60, t=500/60, t=8.33~. Therefore the bus took 8hours, 33 minutes to cover the distance of 500km.

If I am wrong please let me know by commenting on this answer.

#SPJ1

Displacement from the center line for minimum intensity is 1.35 mm , width of the slit  is 0.75 so  Wavelength of the light  is 506.25.

When a wave is bent by an obstruction whose dimensions are similar to the wavelength, diffraction is observed. We can disregard the effects of extremes because the Fraunhofer diffraction is the most straightforward scenario and the obstacle is a long, narrow slit.

This is a straightforward situation in which we can apply the

Fraunhofer single slit diffraction equation:

y = mλD/a

Where:

y = Displacement from the center line for minimum intensity =  1.35 mm

λ =  wavelength of the light.

D = distance

a = width of the slit = 0.75

m = order number = 1

Solving for λ

λ = y + a/ mD

Changing the information that the issue has provided:

λ = 1.35 * 10^-3 + 0.75 * 10^-3 / 1*2  

=5.0625 *10^-7 = 506.25

so

Wavelength of the light 506.25.

To learn more about Wavelength of the light refer to:

https://brainly.com/question/15413360

#SPJ4

The speed of the lorry 4 seconds later, given it was moving with uniform acceleration of 1.5 m/s² is 12 m/s

We'll begin by listing out the various parameters obtained from the question. This is shown below:

The final speed of the lorry can be obtained as follow:

a = (v - u) / t

1.5 = (v - 6) / 4

Cross multiply

v - 6 = 1.5 × 4

v - 6 = 6

Collect like terms

v = 6 + 6

v = 12 m/s

Thus, from the calculation made above, the final speed of the lorry is 12 m/s

Learn more about velocity:

https://brainly.com/question/26392384

#SPJ1

The distance between the poles is 46 m.

Given information indicates that the two towers are 50 meters tall and that the cable is 80 meters long. The midpoint of the cable, designated as h, is 10 meters above the ground.

Let the height be y and the distance from the midpoint to either tower be x. therefore by catenary equation, we get,      

                              y=hcos(x/h)

                            =>50=10cos(x/10)

                  Therefore  5=cosx/10

By the tabulated value from the hyperbolic cosine function, we get the value of

                          cos⁻¹(5)=x/10

                         =>2.3=x/10

                         =>x=23

Therefore the distance between the poles is 2x = 2 x 23 = 46 m.  

Learn more about distance here:

https://brainly.com/question/15256256

#SPJ4

In fast-moving water only coarse material settles out and fine material is carried away. In slow-moving water only fine material, which can settle out.

To learn more about velocity of water refer to:

https://brainly.com/question/28595543

#SPJ4

The blade goes through 25 evolutions throughout this period.

Angular velocity is the speed at which an object rotates or revolves around an axis or alters the angle between two bodies. The angle between a line on one body and a line on the other in the illustration serves as a representation of this displacement.

Formula using,

Ф = (ω+ω')t/2

Where Ф = amount of revolution the blade undergo,

Given: ω = 1200 rev/min,

ω' = 300 rev/min,

t = 2 seconds = (2/60) min = 1/30 min

Substitute into equation 1

Ф = (1200+300)(1/30)/2

Ф = 1500/(30×2)

Ф = 1500/60

Ф = 25revolutions.

The blade goes through 25 evolutions throughout this period.

To know more about angular velocity visit:

https://brainly.com/question/12446100

#SPJ4

Work done by the sprinter in first 2.5 s will be 702.699 J.

Work done is the product of force and distance covered.

Mass of the sprinter = 58 kg

Distance covered by the sprinter = s = 60 m

Total time taken by the sprinter = t = 7.8 s

u = initial velocity = 0

a = constant acceleration

60 =  [tex]\frac{1}{2}a7.8^{2}[/tex]

60.84 a = 60 * 2

a = 1.97 [tex]m/s^{2}[/tex]

For a = 1.97 [tex]m/s^{2}[/tex] and t = 2.5 s

d =  [tex]\frac{1}{2}at^{2}[/tex]

Here also u is '0' because the distance is being measured from the starting point.

d = [tex]\frac{1}{2} *1.97*(2.5)^{2}[/tex]

d = 6.15 m

Work done by the sprinter = F * d

Force = mass * acceleration

F = 58 * 1.97

F = 114.26 N

distance for first 2.5 sec is 6.15 m

Therefore Work done = 6.15 * 114.26

W = 702.699 J

Work done by the sprinter is 702.699 J.

To know more about Work done,

https://brainly.com/question/28338228

#SPJ4

Coaxial cable may experience unpleasant interference from electrical wires. Therefore, even if the cables are divided by wood or other building materials, keep coax wires at least 6 inches away from electrical cables.

A form of copper cable known as coaxial cable is designed to prevent signal interference by using a metal shield and other parts. It is generally utilized by cable TV providers to link their satellite antenna facilities to client residences and establishments.

The same coaxial cable network that delivers cable television and internet to your house is used for both services. First, your internet service provider sends a data signal to your modem via the coaxial cable, also known as coax, inside your home.

You will need a coaxial cable connected to your TV if you want to watch live TV through a provider like Free view or Free sat.

To learn more about  Coaxial cables refer to:

https://brainly.com/question/13013836

#SPJ4

The system rotating in the x-y plane about the origin has a moment of inertia of 3.6 kg/m2.

To learn more about Moment of inertia refer to:

https://brainly.com/question/14460640

#SPJ4

Answer:

1.785  m

Explanation:

Without the worker the scaffolding produces 300N tension in each rope

  if worker is in the middle, each rope will support 1/2 of worker's weight (325 N)    for a total of 625 N <==== so worker will be pretty close to middle for tension of 660 N

 Need 360 N   in addition to 300N board

       360 * x   =  290 ( 4-x)    

           x = 1.785 meters from an end

    Well ....that is kinda the 'intuitive approach'.....maybe this way will be more clear:

The moments around one end have to be = 0 or the plank will move

  from the left end moments:

        600 ( 2.000) + 650 ( x)  = 660 (4.000)

            x = 2.215 m from left end    or    1.785 m from R end  (that has the 660 N tension)

Mass of the heaviest book is 0.733 kg.

Heaviest book has weight

= (6 + 6) * 0.6 N

= 7.2 N

If m = mass of the heaviest book in kg

m = 7.2/9.81 kg

   = 0.733 kg.

Children often bring a well-established "life-view" of friction with them because of their experiences with slippery surfaces like frozen ponds (low friction) and "gripping" surfaces like deep pile carpets (high friction) and the effects they have on movement. This way of existence needs to be expanded and understood in the perspective of science.

The force that modifies movement as a result of surface/surface interaction is known scientifically as friction (all changes of movement require the action of a force). When using diagrams to portray forces in action, the direction of the frictional force should be depicted as being opposed to that of the movement.

Learn more about Mass here:

https://brainly.com/question/18064917

#SPJ4