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
kotykmax [81]
3 years ago
10

An object of mass m is traveling on a horizontal surface. There is a coefficient of kinetic friction  between the object and th

e surface. The object has speed v when it reaches x = 0 and encounters a spring. The object compresses the spring, stops, and then recoils and travels in the opposite direction. When the object reaches x = 0 on its return trip, it stops.
Find k, the spring constant in terms of other given quantities.
Physics
1 answer:
Gnom [1K]3 years ago
7 0

Answer:

8m * (μg/v)^2

Explanation:

k, the spring constant = ?

(k in terms of μ, m, g, and v.)

Frictional force = μmg

Note: lost KE is converted to work done against the friction + PE of the spring

1/2mv2 = μmgx + 1/2kx^2....equation i

Cancel the 1/2 on both sides

mv^2 = μmgx + kx^2

Lets recall that:

Due to frictional effect, further enegy will be lost when the spring recoils backward

Therefore

1/2kx^2 = μmgx..... equation ii

Let's substitute 1/2kx^2 in equation I for ii

So we can say that:

1/2mv^2 = (μmgx)+ μmgx

1/2mv^2 = 2 (μmgx)

1/4mv^2 = μmgx

Cancel out m on both sides

1/4v^2 = μgx

Make x subject of the formula

x = (1/4v^2) / (μg)...... equation iii

substitute x to equation ii

But first make k in equation ii subject of the formula

1/2kx^2 = μmgx

k = 2μmg/x

Now substitute x

k = 2μmg / ((1/4v^2) / (μg))

k = 2μmg * ((μg) / (1/4v^2))

k = 8m * (μg/v)^2

8m * (μg/v)^2

You might be interested in
Write<br>any<br>to increase<br>magnitude of current in dynamo​
Svetach [21]

Answer:

Explanation:

It can be increased by: increasing the rate of rotation. Increasing the strength of the magnetic field. Increasing the number of turns on the coil.

Hope this helps

plz mark it as brainliest!!!!!!

4 0
3 years ago
An object is moving in a circle. If the radius of the object is doubled, and the period remains constant, the magnitude of the v
Anton [14]

Answer:

Twice

Explanation:

From the formula for velocity in a circle

V= 2πr/T

Where V is velocity

r is raduis

T is period

We see that as r increases V increases so if r is doubled V becomes doubled

4 0
3 years ago
A hockey ball accelerates from 0.m/s to 25m/s in 0.05 seconds what is the acceleration of the ball ?
S_A_V [24]

Answer:

500

Explanation:

25/0.05 .

I think this ?

3 0
3 years ago
The nucleus of an atom is composed of unchanged particles as well as of the following
Ivan
I suppose that you wanted write "uncharged". The particles without electrical charge present in the nucleus are called neutrons.
7 0
3 years ago
Please help it’s do soon
viktelen [127]
When y’all are all over the place and I wanna is a time to come sit in my
8 0
3 years ago
Other questions:
  • Which of the following describes the charge of an atom before any electrons are transferred?
    13·1 answer
  • How much energy, in Joules, is needed to raise the temperature from 25.87°C to 33.16°C in a 2.66 kg block of each of the followi
    13·1 answer
  • Flywheels are large, massive wheels used to store energy. They can be spun up slowly, then the wheel's energy can be released qu
    8·1 answer
  • What is the hang time when the person moves 6 m horizontally during a 1.25 m high jump?
    12·1 answer
  • What is power in physics​
    14·1 answer
  • Drop interesting and usefuk facts down here plesse and i'll give the most interesting one brainliest
    7·1 answer
  • The magnetic field of an electromagnetic wave in a vacuum is Bz =(2.4μT)sin((1.05×107)x−ωt), where x is in m and t is in s. You
    12·1 answer
  • Describe what causes friction between surfaces
    7·2 answers
  • What is the potential energy of a 2500 g object suspended 5 kg above the earth's surface?
    7·1 answer
  • Cho mạch như hình vẽ E
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!