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
kenny6666 [7]
3 years ago
14

A large fake cookie sliding on a horizontal surface is attached to one end of a horizontal spring with spring constant k = 375 N

/m; the other end of the spring is fixed in place. The cookie has a kinetic energy of 19.0 J as it passes through the position where the spring is unstretched. As the cookie slides, a frictional force of magnitude 10.0 N acts on it. (a) How far will the cookie slide from the position where the spring is unstretched before coming momentarily to rest? m (b) What will be the kinetic energy of the cookie as it slides back through the position where the spring is unstretched?
Physics
1 answer:
spayn [35]3 years ago
8 0

Answer:

The conservation of energy should be used to answer this question.

a)

At the position where the spring is unstretched, the elastic potential energy of the spring is zero.

K_1 + U_1 - W_f = K_2 +U_2\\K_1 - W_f = U_2

since U_1 and K_2 is equal to zero.

W_f = F_fx\\\\U_2 = \frac{1}{2}kx^2\\\\19 - (10)x = \frac{1}{2}(375)x^2\\\\375x^2 + 20x - 38 = 0

The roots of this quadratic equation can be solved by using discriminant.

\Delta = b^2 - 4ac\\x_{1,2} = \frac{-b \pm \sqrt{\Delta}}{2a}

x_1 = -0.346\\x_2 = 0.292

We should use the positive root, so

x = 0.292 m.

b)

We should use energy conservation between the point where the spring is momentarily at rest, and the point where the spring is unstretched.

K_2 + U_2 - W_f = K_3 + U_3\\U_2 - W_f = K_3

since the kinetic energy at point 2 and the potential energy at point 3 is equal to zero.

\frac{1}{2}kx^2 - F_fx = K_3\\K_3 = 15.987 - 2.92 = 13.067 J

Explanation:

In questions with springs, the important thing is to figure out the points where kinetic or potential energy terms would be zero. When the spring is unstretched, the elastic potential energy is zero. And when the spring is at rest, naturally the kinetic energy is equal to zero.

In part b) the cookie slides back to its original position, so the distance traveled, x, is equal to the distance in part a). The frictional force is constant in the system, so it is quite simple to solve part b) after solving part a).

You might be interested in
An atom that has an excess positive or negative electrical charge caused by the loss or addition of an electron is called a(n)
maria [59]

Answer:

ion

Explanation:

4 0
3 years ago
Read 2 more answers
What is a list of solid mixtures in a classroom?
OLEGan [10]
Well,
1.} book
2.} computer
3.} desk
4.} chair
5.} pencil
6.} eraser
7.} dry erase board
8.} ruler
9.} calculator 
10.} TV 
and etc
6 0
3 years ago
You travel down the highway at a steady rate of 75 mph (33.53 m/s)  for a total of 25 minutes, calculate how far you traveled i
Dima020 [189]

Answer:

50280 meters

Explanation:

33.52 meters/seconds is 2011.2 meters/minutes (multiply by 60)

2011.2 meters/m * 25 minutes = answer

3 0
3 years ago
The graph in the figure shows the position of a particle as it travels along the x-axis. What is the magnitude of the instantane
alexandr402 [8]

Answer:

pls first attach the fig.

6 0
3 years ago
The speed of the wooden bar is changed so that the bar hits the water fewer times each second.
Hitman42 [59]

Answer:

c - the frequency of the waves decreases

3 0
2 years ago
Other questions:
  • Fill in the blank
    10·1 answer
  • If the back of the truck is 1.3 m above the ground and the ramp is inclined at 22 ∘ , how much time do the workers have to get t
    12·1 answer
  • You are a crane operator using a wrecking ball to demolish an old building. You can choose to use a 100-kg ball or a 150-kg ball
    7·1 answer
  • a student drew the following model: volcano cooling crust motion plates tension which landform should the student put next in th
    14·2 answers
  • If you were to take the universe's temperature, what would the reading be?
    10·1 answer
  • The orbital radius of the Earth (from Earth to Sun) is 1.496 x 10^11 m.
    10·1 answer
  • In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 36.0mi/gal , how many liters of gasoline would
    13·1 answer
  • Matthew is looking at two different atoms. One has 8 protons and 10 neutrons. The other substance has 8 protons and 12 neutrons.
    10·1 answer
  • HELP - What are some good topics to add to a Pipeline presentation? So yes, a presentation about pipelines, like for example in
    5·1 answer
  • Explain How do the attractions between particles in a fluid determine viscosity?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!