1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
denis23 [38]
3 years ago
6

Lou’s latest invention, aimed at urban dog owners, is the X-R-Leash. It is made of a rubber-like material that exerts a force Fx

= (−5.7 N/m) x − (78 N/m2 ) x 2 when it is stretched a distance x. The ad claims, "You’ll never go back to your old dog leash after you’ve had the thrill of an X-R-Leash experience. And you’ll see a new look of respect in the eyes of your proud pooch." Find the work done on a dog by the leash if the person remains stationary, and the dog bounds off, stretching the X-R-Leash from x = 0 m to x = 22 m. Answer in units of kJ.
Physics
1 answer:
GaryK [48]3 years ago
5 0

Answer:

W = 29.06 KJ

Explanation:

The work done while stretching the leash can be calculated by the following formula:

W = \int\limits^b_a {F_{x}} \, dx \\

whee,

W = Work Done = ?

Fₓ = Forcing Function = (-5.7 N/m)x - (78 N/m²)x²

a = starting point of x = 0 m

b = end point of x = 22 m

Therefore,

W = \int\limits^{22\ m}_{0\ m} {(-(5.7\ N/m)x - (7.8\ N/m^{2})x^{2}}) \, dx \\Integrating\ we\ get:\\W = -\frac{(5.7\ N/m)x^{2}}{2} - \frac{(7.8\ N/m^{2})x^{3}}{3}\\Applying\ limits:\\W = -\frac{(5.7\ N/m)(22\ m)^{2}}{2} - \frac{(7.8\ N/m^{2})(22\ m)^{3}}{3} - 0\\W = - 1379.4\ J - 27684.8\ J\\W = 29064.2\ J

<u>W = 29.06 KJ</u>

You might be interested in
A toy car goes over a small ramp at a horizontal velocity of 1.21 m/s and decelerates at 0.131 m/s2 while in the air. The total
xz_007 [3.2K]
We need to considerate only the horizontal component of the motion of the toy car.

The formula for the distance in a decelerated motion is:
s = s₀ + v₀·t - 1/2·a·t²

where:
s₀ = initial position = 0
v₀ = initial velocity = 1.21 m/s
t = time elapsed = 0.342 s
a = deceleration = 0.131 m/s²

Plugging in numbers:
s = 0 + 1.21×0.342 - 0.5×0.141×(0.342)²
  = 0.406 m

Hence, the toy car traveled a distance of about 41 cm.

3 0
3 years ago
Picking up sound waves is the stage of listening that most people refer to as what?
kirill [66]

A. Picking up sound waves is the stage of listening that most people refer to as hearing.

<h3>What is hearing?</h3>

Hearing, or auditory perception, is the ability to perceive sounds through an organ, such as an ear, by detecting vibrations as periodic changes in the pressure of a surrounding medium.

During learning process, when someone picks up the sound waves directed to him/her, it is known as the act of hearing,

Thus, picking up sound waves is the stage of listening that most people refer to as hearing.

Learn more about hearing here: brainly.com/question/14185060

#SPJ1

5 0
2 years ago
A 40kg load is raised to a height of 25m. If the operation requires 1 min, find the power required​
OlgaM077 [116]

Answer:

163.33 Watts

Explanation:

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

Mass (m) = 40 Kg

Height (h) = 25 m

Time (t) = 1 min

Power (P) =..?

Next, we shall determine the energy. This can be obtained as follow:

Mass (m) = 40 Kg

Height (h) = 25 m

Acceleration due to gravity (g) = 9.8 m/s²

Energy (E) =?

E = mgh

E = 40 × 9.8 × 255

E = 9800 J

Finally, we shall determine the power. This can be obtained as illustrated below:

Time (t) = 1 min = 60 s

Energy (E) = 9800 J

Power (P) =?

P = E/t

P = 9800 / 60

P = 163.33 Watts

Thus, the power required is 163.33 Watts

8 0
3 years ago
A uniform disk has a moment of inertia that is (1/2)MR2. A uniform disk of mass 13 kg, thickness 0.3 m, and radius 0.2 m is loca
kicyunya [14]
The angular momentum of an object is equal to the product of its moment of inertia and angular velocity.
L = Iω
I = 1/2 MR²
I = 1/2 x 13 x (0.2)
I = 1.3

ω = 2π/t
ω = 2π/0.3
ω = 20.9

L = 1.3 x 20.9
= 27.2 kgm²/s
6 0
3 years ago
Read 2 more answers
What is the animal behavior where organisms imitate another organism or environment in some way?
aksik [14]

Mimicry. This is when oraganisms imitate another oraganism whether it be physical or behavoioral.

8 0
3 years ago
Other questions:
  • What will be the time period of simple pendulum at the center of earth​
    14·1 answer
  • A hot air balloon has a mass of 300 k gincluding the basket. The hot air inside the balloon weighs 17,000 N. Determine the maxim
    13·1 answer
  • Describe and open, closed, and isolated system
    13·1 answer
  • Saul converts 2.392 hectoliters to liters. What should his new number be? 0.02392 0.2392 239.2 2392
    13·2 answers
  • How far can a car traveling at a rate of 40 kilometer per hour travelbin 2 1/2 hours
    7·2 answers
  • Which chemical equation represents a double replacement reaction?
    11·1 answer
  • Imagine that Kevin can instantly transport himself between Planet X and Planet Y. Which statement could be said about Kevin in t
    9·2 answers
  • The coefficent of static friction between the floor of a truck and a box resting on it is 0.28. The truck is traveling at 72.4 k
    15·1 answer
  • What type of relationship exists between the comma teasel and all of the other plant
    13·2 answers
  • What are the sign and magnitude in coulomb's of a point charge that produces a potential of -1.50 V at a distance of 2.00 mm
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!