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
aniked [119]
2 years ago
10

A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m

(Fig. P7.39). When released, the block moves on a horizontal tabletop for 1.00 m before coming to rest. The force constant k is 100 N>m. What is the coefficient of kinetic friction mk between the block and the tabletop?
Physics
2 answers:
Akimi4 [234]2 years ago
7 0

Answer:

μk = 0.408

Explanation:

Given:

m=0.50 Kg,

Let compressed distance x = 0.20 m, and

stretched distance after releasing y = 1.00 m

K = 100 N/M

Sol:

Law of conservation of energy

Energy dissipation due to friction = P.E stores in the spring

Ff * y = 1/2 K x ²   (Ff = μk Fn)  And (Fn = mg) so

μk mgy  =   1/2 K x ²

μk = 1/2 K x ² /mgy   Putting values

μk = (1/2 ) (100 N/M) (0.20 m)² / (0.50 Kg x 9.8 m/s² x 1 m)

μk = 0.408

dexar [7]2 years ago
3 0
<h2>Answer:</h2>

0.4

<h2>Explanation:</h2>

(i) Since the mass is forced against the spring, an elastic energy (E_{E}) due to the compression of the spring by the force is produced and is given according to Hooke's law by;

E_{E} = \frac{1}{2} k c²            --------------------------------(i)

Where;

k = spring's constant

c = compression caused on the spring.

<em>From the question;</em>

k = 100N/m

c = 0.20m

<em>Substitute these values into equation (i) as follows;</em>

E_{E} = \frac{1}{2} x 100 x 0.20²

E_{E} = 2J

(ii) Now, when the mass is released, it causes the block to move some distance until it stops thereby doing some work within that distance. This means that the elastic energy is converted to workdone. i.e

E_{E} = W          ------------(ii)

The work done (W) is given by the product of the net force(F) on the block and the distance covered(s). i.e

W = F x s           -----------------(iii)

But, the only force acting on the body as it moves is the frictional force (F_{R}) acting to oppose its motion. i.e

F = F_{R}

Where;

F_{R} = μN      [μ = coefficient of kinetic friction, N = mg = normal reaction between the block and the tabletop, m = mass of the block, g = gravity]

F_{R} = μ x mg

<em>Substitute F = </em>F_{R}<em> = μ x mg into equation (iii) as follows;</em>

W = μ x mg x s             ----------------(iv)

<em>Now substitute the value of W into equation (ii) as follows;</em>

E_{E} = μ x mg x s                ------------------(v)

Where;

E_{E} = 2 J               [as calculated above]

m = 0.50 kg

s = distance moved by block = 1.00m

g = 10m/s²            [a known constant]

<em>Substitute these values into equation (v) as follows;</em>

2 = μ x 0.50 x 10 x 1

2 = 5μ

μ = 2 / 5

μ = 0.4

Therefore, the coefficient of kinetic friction between the block and the tabletop is 0.4

You might be interested in
Hooke's law. The distance d when a spring is stretched by a hanging objective varies directly as the weight w of the object. If
Fofino [41]
<span>Hooke's law is F=-kx, which means the elastic force contained by the spring is a product of the distance it stretches and its spring constant, but the direction of the force is opposite that of the displacement. We calculate as follows:

</span><span>(3 kg)(9.8 m/s^2) = -k(-0.38 m)
</span>k =<span> 77.4

</span><span>Then use k to find the new displacement, again using Hooke's law:
(7 kg)(9.8 m/s^2) = -(77.4)x
x = -0.89 m</span>
7 0
3 years ago
What is the value of n in the balmer series for which the wavelength is 410.2 nm.?
m_a_m_a [10]

The answer is n= 6.

What is Balmer series?

The Balmer series is the portion of the emission spectrum of hydrogen that represents electron transitions from energy levels n > 2 to n = 2. These are four lines in the visible spectrum. They are also known as the Balmer lines. The four visible Balmer lines of hydrogen appear at 410 nm, 434 nm, 486 nm and 656 nm.

For the Balmer series, the final energy level is always n=2. So, the wavelengths 653.6, 486.1, 434.0, and 410.2 nm correspond to n=3, n=4, n=5, and n=6 respectively. Since the last wavelength, 410.2 nm, corresponds to n=6, the next wavelength should logically correspond to n=7.

To solve for the wavelength, calculate the individual energies, E2 and E7, using E=-hR/(n^2). Then, calculate the energy difference between E2 (which is the final) and E7 (which is the initial). Finally, use lamba=hc/E to get the wavelength.

To learn more about emission spectrum click on the link below:

brainly.com/question/24213957

#SPJ4

3 0
2 years ago
E<br> 3.6 What force is needed to give a mass of<br> 20 kg an acceleration of 5 m/s??
luda_lava [24]

Explanation:

  • Mass(m)= 20kg
  • Acceleration (a)= 5m/s²
  • Force(F)= ?

We know that,

  • F=ma
  • F=20×5
  • F=100N

Hence, the needed force is 100N.

6 0
1 year ago
Read 2 more answers
Which is the product of cellular respiration? A. ATTP B. light C. oxygen D.sugar
MrMuchimi
The answer to the question is A
7 0
3 years ago
A baseball with a mass of 151 g is thrown horizontally with a speed of 39.5 m/s (88 mi/h) at a bat. The ball is in contact with
Oduvanchick [21]

Answer:

the average force exerted on the ball by the bat is 11,613.27 N

Explanation:

Given;

mass of the baseball, m = 151 g = 0.151 kg

initial velocity of the baseball, u = 39.5 m/s

final velocity of the baseball, v = 45.1 m/s

time of action, t = 1.10 ms = 1.10 x 10⁻³ s

The average force exerted on the ball by the bat is calculate as;

F = ma = \frac{m(v-u)}{t} \\\\F = \frac{0.151(45.1-(-39.5))}{1.10\times 10^{-3}} \\\\F = \frac{0.151(45.1\ +\ 39.5)}{1.10\times 10^{-3}} \\\\F = 11,613.27 \ N

Therefore, the average force exerted on the ball by the bat is 11,613.27 N

7 0
2 years ago
Other questions:
  • What is Newton's Law
    11·1 answer
  • spectroscope or a spectrometer is an instrument which is used for separating the components of light, which have different wavel
    15·2 answers
  • Describe the direction heat always flows in
    6·1 answer
  • If the mass of Earth increased, with no change in radius, your weight<br> would
    12·1 answer
  • Explain the role of convection currents In the formation of sea or land breazes
    10·1 answer
  • Uses of convace, convex mirror​
    13·1 answer
  • Work, Power, and Energy
    10·1 answer
  • A crane lifts a 425 kg steel beam vertically upward a distance of 66 m. How much work does the crane do on the beam if the beam
    11·1 answer
  • What happens to the period of the motion when the spring constant increases? Does it increase, decrease, or stay the same?
    8·1 answer
  • How is the energy carried per photon of light related to the wavelength of the light?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!