During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke's law with a spring constant of 112 N/m. If the hose is stretched by 4.70 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length

Answers

Answer 1

Answer:

1237 J

Explanation:

The work done by the hose on the balloon is the work done by a spring which is

W = 1/2k(x₀² - x₁²) where k = spring constant = 112 N/m, x₀ = 4.70 m and x₁ = 0 m.

Substituting the values of the variables into the equation, we have

W = 1/2k(x₀² - x₁²)

W = 1/2 × 112 N/m((4.70 m)² - (0 m)²)

W = 56 N/m(22.09 m² - 0 m²)

W = 56 N/m(22.09 m²)

W = 1237.04 J

W ≅ 1237 J


Related Questions

Velocity tells us not only how fast something is going, but in what direction it is traveling.


True
False

Answers

Answer:

true

Explanation:

because I tride it

Pleaseee I need help!!

Answers

Answer:

R1=3.333 Ohms

R2=10 Ohms

R3=16.666 Ohms

Explanation:

30 total

30=R1+R2R3

30=1(x):3(x):5(x)

x=3.3333

R1=3.333 Ohms

R2=10 Ohms

R3=16.666 Ohms

14. Which of the following is not an example of work being done?
A. pushing a basketball away from your body
B. holding a coffee mug
C. carrying boxes across a warehouse floor

Answers

Answer:

B. holding a coffee mug

Explanation:

Something must move a distance for work to be done.

What is The first stage in cellular respiration, what cycle?

Answers

ANSWER:

What is The first stage in cellular respiration, what cycle?

- GLYCOLYSIS

In glycolysis, the beginning process of all types of cellular respiration, two molecules of ATP are used to attach 2 phosphate groups to a glucose molecule, which is broken down into 2 separate 3-carbon PGAL molecules. PGAL releases electrons and hydrogen ions to the electron carrier molecule NADP+.

What are the 4 stages of cellular respiration?It has four stages known as glycolysis, Link reaction, the Krebs cycle, and the electron transport chain. This produces ATP which supplies the energy that cells need to do work.

Help please, i am lost.

Answers

Answer:

nas wr hdrtuendnetyje because

Explanation:

A ray of light strikes a flat mirror at an angle of 40° from the perpendicular. The light is reflected at
what opposite angle to the same perpendicular line?
a) 40°
b) 50°
c) 30°
d) 60°

Answers

Answer:

a

Explanation:

angle of incidence equals angle of reflection on flat surface

Answer:

40 degress

Explanation:

A woman pushes a 35.0 kg object at a constant speed for 10.8 m along a level floor, doing 280 J of work by applying a constant horizontal force of magnitude F on the object. (a) Determine the value of F (in N). (Enter the magnitude.) N (b) If the worker now applies a force greater than F, describe the subsequent motion of the object. The object's speed would increase with time. The object's speed would remain constant over time. The object would slow and come to rest. (c) Describe what would happen to the object if the applied force is less than F. The object's speed would increase with time. The object's speed would remain constant over time. The object would slow and come to rest.

Answers

Answer:

a) F= 25.9 N

b) The object's speed would increase with time.

c) The object  would slow and come to rest.

Explanation:

a)

By definition of work, this is the process through which a force applied on an object, produces a displacement of the object.If the force is constant, and the displacement is parallel to the direction of the force, this work is just the product of the applied force times the distance, as follows:

       [tex]W = F_{app} * d (1)[/tex]

We can solve for Fapp, replacing W and d by their values:

       [tex]F_{app} =\frac{W}{d} = \frac{280J}{10.8m} = 25.9 N (2)[/tex]

b)

If the object is moving at constant speed when it is applied a force F, this means that this force must be compensated by an equal opposite force, in this case, the kinetic friction force.Since this force is constant while the object is moving, if we increase the force F making it larger, there will be a net force in the direction of the displacement, which will cause an acceleration that will increase the speed with time.

c)

We have already said in b) that if the object is moving at constant speed, there must be an equal and opposite force to the applied force F, the kinetic friction force, which is constant, acting on the object.If we apply  a force less than F, there will be a net force in the direction opposite to the displacement, that will cause a acceleration opposite to the displacement, which will make the object to slow down and eventually come to rest.

HELP
HELP
SORRY TO BEG :/
HELP ASAP :) PLZ

Answers

Answer:

It's b because he discovered galaxies .

If 155 g of sugar can be dissolve in 100g of water at 20 degree than how much sugar will be dissolved in 300 g of water at same temperature if someone do I will make you brainly

Answers

Answer:

465 grams of sugar.

Explanation:

I'm not sure this is true: is the relationship linear?

If it is then 300 grams of water should be able told 3*155 grams of sugar

3 * 155 = 465  grams of sugar in 300 grams of water.

A 65.0 kg skier slides down a 37.20 slope with mu = 0.107.

What is the friction force?

Answers

Answer:

54.3N

Explanation:

The normal force is perpendicular to the slope, so:

Normal Force = cos(37.2)(9.8*65).......507.39N

F(friction)=mu*F(normal)

F(friction)=(0.107)(507.39)

F(friction)=54.3N

Answer:

magnitude of friction force- 54.3

friction force- -54.2

Explanation:

A dump truck, whose bed is made of steel, holds an old steel watering trough. The bed of the truck is slowly raised until the trough begins to slide. For dry steel to steel μs= 0.80, μk= 0.60. What is the acceleration of the trough as it slides down the truck bed? Express your answer with the appropriate units.

Answers

Answer:

a = 1,538 m / s²

Explanation:

Let's use Newton's second law, let's set a reference system where the x-axis is parallel to the sloping floor of the truck and the positive direction is in the direction of movement of the trough, for this case the weight is the only force to decompose

          sin θ = Wₓx / W

          cos θ = W_y / W

          Wₓ = W sin θ

          W_y = W cos θ

Y axis

          N -W_y = 0

          N = mg cos θ

X axis

          Wₓ - fr = m a

the friction force has the expression

          fr = μ N

There are values ​​of the friction coefficient (μ_s) one for when the movement has not started and it takes a smaller value for when the bodies are moving.

In this case we first find the angle for which the movement begins, in this part we use the static coefficient and the acceleration is zero

             Wₓ - μ_s N = 0

             m g sin θ = μ_s mg cos θ

             tan θ = μ_s

             θ = tan⁻¹ μ_s

we calculate

              θ = tan⁻¹ 0.8

              θ = 38.7º

For this angle, how the trough begins to move, the coefficient is reduced to the dynamics coefficient (μ_k)  and the acceleration is different from zero.

     

we substitute

          mg sin θ - μ_k mg cos θ = m a

          a = g (sin θ - μ_k cos θ)

let's calculate

          a = 9.8 (sin 38.7 - 0.6 cos 38.7)

          a = 1,538 m / s²

list the 5 components of fitness

Answers

Yeah what the first person said is the answer you your question

6)
A 50 kg bike and rider accelerate from 4 to 8 m Determine how much kinetic energy must be added to make this occur?
S
S
A)
200
B)
400)
800)
D)
1200

Answers

Answer:

A.) 200 in my opinion so I hope this helps

Answer: 1200 j

Explanation:

I just took it

a ball is spun around in circular motion such that it completes 50 rotations in 25 s.

1) What is the period of its rotation?
2) what is the frequency of its rotation?

Answers

Answer:

(A) The period of its rotation is 0.5 s (2) The frequency of its rotation is 2 Hz.

Explanation:

Given that,

a ball is spun around in circular motion such that it completes 50 rotations in 25 s.

(1). Let T be the period of its rotation. It can be calculated as follows :

[tex]T=\dfrac{25}{50}\\\\T=0.5\ s[/tex]

(2). Let f be the frequency of its rotation. It can be defined as the number of rotations per unit time. So,

[tex]f=\dfrac{50}{25}\\\\f=2\ Hz[/tex]

Hence, this is the required solution.

In 1666 at the age of 23, what scientist
developed the theories of gravitation inspired
by an apple falling from a tree?

A. Galileo Galilei
B. Issac Newton
C. Albert Einstein
D. Nicolaus Copernicus

Answers

Answer:

B - Isaac Newton

Explanation:

He first thought of his system of gravitation which he hit upon by observing an apple fall from a tree,

The incident occurring in the late summer of 1666.

the motion of a body with respect to another body is? ​

Answers

Answer:

Motion that changes the orientation of a body is called rotation. ... In both cases all points in the body have the same velocity (directed speed) and the same acceleration (time rate of change of velocity).

Answer:

its called relative speed

if you ride a bike at 2 km/h and travel a total distance of 20km, how long willnit takr ( in second) you to teach your destination

Answers

Time = (20 km) x (1 hr/2 km) x (3,600 sec/hr)

Time = (20 x 1 x 3,600 km-hr-sec) / (2 km-hr)

Time = (20 x 1 x 3,600 / 2) (km-hr-sec / km-hr)

Time = 36,000 seconds

(That's 10 hours.)

If an object is placed at distance of 16cm from a plane mirror, How far would it be from it's image?​

Answers

Explanation:

A plane mirror always creates an image with the same distance to the mirror as the object, only in the other direction. So both of them have a distance of 10cm, one is 10cm to the left, one 10cm to the right, thus their mutual distance is 20cm

what is the potential energy the greatest in a roller coaster​

Answers

Answer:

Gravitational potential energy is the greatest

Explanation

It is the highest point of a roller coaster.

Take 100 PONTS!!!!!! PLEASE I NEED HELP FAST. Just look The picture.​

Answers

Answer:

i THINK it’s false. You don’t have to give me points ;-;

Explanation:

Answer:

i think false and true is spelt wrong lol

Explanation:

What x rays travel at the speed of

Answers

What is the speed? Like we need the pic or something

If a person walks 3 m north and 5 meters east, how would you find the displacement for that person? what would the displacement be?​

Answers

Answer:

AC)=(AB)2+(BC)2−−−−−−−−−−−−√=42+32−−−−−−√

⇒displacement=16+9−−−−−√=25−−√=5m

A tank is is half full of oil that has a density of 900 kg/m3. Find the work W required to pump the oil out of the spout. (Use 9.8 m/s2 for g. Assume r = 15 m and h = 5 m.) W = 1.59 J

Answers

Answer:

3.9 × 10^7 J

Explanation:

Given that a tank is is half full of oil that has a density of 900 kg/m3. Find the work W required to pump the oil out of the spout. (Use 9.8 m/s2 for g. Assume r = 15 m and h = 5 m.) W = 1.59 J

Solution

Since the tank is half full, the height = 2.5m

Pressure = density × gravity × height

Pressure = 900 × 9.8 × 2.5

Pressure = 22050 Pascal

The cross sectional area of the pump will be area of a circle.

A = πr^2

A = π × 15^2

A = 706.858 m^2

Using the formula

Density = mass/volume

Mass = density × volume

Mass = 900 × 706.86 × 2.5

Mass = 1590.435

Energy = mgh

Energy = 1590.435 × 9.8 × 2.5

Energy = 38965657.8 J

Since the work done = energy

Therefore, the work done = 3.9 × 10^7 J

A friend pushes a sled across horizontal snow and when it gets up to speed the friend jumps on. After the friend jumps on, the sled gradually slows down. Which forces act on the combined sled plus friend after the friend jumps on

Answers

Answer:

      v’ =( [tex]\frac{1}{1+ \frac{M}{m} }[/tex]  )  v

we see that the greater the difference, the more the sled slows down.

friction force

Explanation:

When the man pushes the sled he does work and the sled acquires a speed and as long as it is supplied with an energy equal to the work of the chipping force with the snow, the speed is maintained.

When he jumps on the sled, a collision occurs and the initial moment

             p₀ = mv

is increased by the increase in mass

             m_f= (m + M_{man} ) v '

In this case there is no longer any external force applied and the only external force is friction, which causes the sled to stop, even when it is small, but the significant reduction in speed is due to the increase in masses.

            p₀ = p_f

            mv = (m + M_{man}) v '

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

            v’ =( [tex]\frac{1}{1+ \frac{M}{m} }[/tex]  )  v

Therefore, we see that the greater the difference, the more the sled slows down.

The only forces that act on the sled with the man are the friction that is responsible for the decrease in speed and weight with the normal

HELP me please cause I don't understand it.

Answers

Answer:

Force = 0.49 N (Approx)

Explanation:

Given:

Mass = 50 grams = 0.05 Kg

Acceleration = 9.81 m/s²

Find:

Force

Computation:

Force = Mass x Acceleration

Force = 0.05 x 9.81

Force = 0.4905

Force = 0.49 N (Approx)

What are characteristics of wide-angle lenses?

Answers

One of the characteristics of a wide-angle lens is the ability to capture the expanse of a scene in an image with its wide angle of view. Also, it is able to create an intriguing deformed effect when you photograph the subject from a close distance. These characteristics can be utilised to bring out the shape of a subject or the depth of a landscape. That being said, care is needed as distortion is more likely to occur toward the edges of the image. To make effective use of a wide-angle lens, it is important to control both the angle of view as well as distortions in the image at the same time. By doing so, you will be able to add a dynamic touch to your photographic expression.

1. Describe how unequal heating and rotation of the Earth causes atmospheric and oceanic circulation patterns that determine the regional and global climate.

Answers

Unequal heating and rotation of the Earth cause patterns of atmospheric and oceanic circulation that determine regional climates. ... Atmospheric circulation that, in part, determines regional climates is the result of sunlight-driven latitudinal banding, the Coriolis effect, and resulting prevailing winds.

The rate at which work is done is known as which of the following?
A. Power,
B. Energy,
C. Momentum,

Answers

Answer:

A , power

Explanation:

Hope this is useful. Have a lovely rest of your day! God bless you.

If a spring extends by 3 cm when a 4 N weight is suspended from it, find the extension
when the weight is changed to
(a) 8 N
(b) 10 N
(c) 14

Answers

A - 6cm
B - 7.5cm
C - 10.5cm

What is the magnitude of the force that is exerted on a 20 kg mass to give it an acceleration of 10.0
m/s2?

Answers

Answer:Mass of the body = 20 kg.

Final Velocity = 5.8 m/s.

Initial velocity = 0

Time = 3 seconds.  

Using the Formula,  

Acceleration = (v - u)/ t

= (5.8 - 0)/ 3

= 1.6 m /s².

Now, Using the Formula,  

Force = mass × acceleration

= 20 × 1.6

=

Explanation: I REALLY  HOPE THIS HELPS I'M KINDA NEW AT THIS :] :]

The magnitude of requires force, that is exerted on a 20 kg mass to give it an acceleration of 10.0 m/s^2 is 200 Newton.

What is force?

The definition of force in physics is: The push or pull on a mass-containing item 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. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

Given parameters:

Mass of the object: m = 20 kg.

Acceleration of the object: a = 10.0 m/s^2.

Hence, according to Newton's 2nd law of motion:

the magnitude of requires force = mass ×acceleration

= 20 × 10 Newton

= 200 Newton.

Hence, the magnitude of requires force is 200 Newton.

Learn more about force here:

https://brainly.com/question/13191643

#SPJ5

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