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
Gnoma [55]
3 years ago
8

A 2.25 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0340 m . The spring has

force constant 855 N/m . The coefficient of kinetic friction between the floor and the block is 0.45 . The block and spring are released from rest and the block slides along the floor. What is the speed of the block when it has moved a distance of 0.0200 m from its initial position? (At this point the spring is compressed 0.0140 m .)
Physics
1 answer:
skelet666 [1.2K]3 years ago
5 0

Answer:

v = 0.434 m/s

Explanation:

let k be the spring force constant. for all the calculations.

the energy stored in the spring is given by:

Es = 1/2×k×(x^2)

    = 1/2×855×(0.0340)^2

    = 0.49419 J

then, the work done by friction is given by:

Wf = f×x = μ×m×g×x = (0.45)×(2.25)×(9.8)×(0.0200) = 0.19845 J

then, the energy stored in the spring at 0.0200 m is:

E = 1/2×k×x^2 = 1/2×(855)×(0.0140)^2 = 0.08379 J

by conservation of energy:

            Es = Wf + E + 1/2×m×v^2

0.49419 J = 0.19845 J + 0.08379 J + 1/2×m×v^2

0.49419 J = 0.19845 J + 0.08379 J + 1/2×(2.25)×v^2

  0.21195 = 1.125×v^2

             v = 0.434 m/s

Therefore, the speed of the block when it has moved 0.0200 from the initial position is 0.434 m/s.

You might be interested in
How many main retrofit strategies help solve the ecological problems with suburbs?
iragen [17]

ANSWER:

5

Explanation:

Because they are elven in numbers

3 0
2 years ago
2. A person standing at
elena-s [515]
God is good man what can you say but its 18.66x30301=362728
7 0
3 years ago
Which has the most momentum? (look at picture please)!!
aliina [53]

Answer: the top one

Explanation: hope this helps

6 0
3 years ago
an op amp in unity gain configuration (buffer) with slew rate of 5v/us is used to amplify a sinusoidal signal with a frequency o
ZanzabumX [31]

Answer:

The maximum amplitude (V_{max}) will be 7.96 V.

Explanation:

We know, for distortion free operation, the slew rate (S) of an OPAMP is written as

S = 2 \pi f V_{max}

where 'f' is the highest frequency signal.

Therefore, from the above equation we can write,

&&5 \frac{V}{\mu s} = 2 \pi 100 kHz \times V_{max}\\&or,& V_{max} = \frac{5V}{10^{-6} s \times 2 \pi 100 \times 10^{3} Hz}\\&or,& V_{max} = \frac{5}{2 \pi \times 10^{-1}} V = 7.96 V

3 0
3 years ago
A circular-motion addict of mass 80 kg rides a Ferris wheel around in a vertical circle of radius 10 m at a constant speed of 6.
bekas [8.4K]

Answer with Explanation:

We are given that

Mass=80 kg

Radius,r=10 m

Speed,v=6.1 m/s

a.Time period,T=\frac{2\pi r}{v}=\frac{2\pi\times 10}{6.1}=10.3 s

b.F_N=mg-\frac{mv^2}{r}

Substitute the values

F_N=80\times 9.8-\frac{80\times(6.1)^2}{10}=486 N

c.F_N=mg+\frac{mv^2}{r}

Substitute the values

F_N=80\times 9.8+\frac{80\times (6.1)^2}{10}=1081.7 N

7 0
3 years ago
Other questions:
  • Iron reacts with sulfur to form iron sulfide. If 60 grams of iron reacts with sulfur to produce 90 grams of iron sulfide, how mu
    6·1 answer
  • A plane flying horizontally at a speed of 50m/s and at an elevation of 160m drops a package, and 2.0 s later it drops a second p
    15·1 answer
  • 1. Find the current ix in the circuits in Fig. E2.6.
    11·1 answer
  • Which two objects have stored energy?
    14·2 answers
  • What color is the moon
    7·2 answers
  • What's the speed of a sound wave through water at 25 Celsius
    9·1 answer
  • An ant can travel approximately 30 meters per minute. How many meters could an ant move in 45 minutes?
    7·2 answers
  • Two tuning forks, 492 Hz and 498 Hz, are struck simultaneously. How many beats will be heard?
    11·1 answer
  • Which of the following is a science?
    8·1 answer
  • How is work and energy inter-related?? (in simple words)​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!