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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.

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Answer:

570 N

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The rider is moving at constant speed, so acceleration is 0.

Sum of the forces in the x direction:

∑F = ma

F cos 30° - T cos 15° = 0

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F sin 30° - W - T sin 15° = 0

W = F sin 30° - T sin 15°

Substituting:

W = (T cos 15° / cos 30°) sin 30° - T sin 15°

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The rider weighs 570 N (which is about the same as 130 lb).

6 0
2 years ago
Displacement vectors of 4km north, 2km south, 5km north, 5km south combine to a total displacement of
goldfiish [28.3K]

<u>Answer</u>

The combined displacement is 2km north


<u>Explanation</u>


Since displacement is a vector quantity, we take into account the direction.


Good for us all the displacement vectors are in the same dimension, so we can make north positive and south negative or vice-versa.


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5 0
3 years ago
Suppose you are standing at the earth's geographic north magnetic pole, the place on the earth's surface that compasses point to
Brut [27]

Answer:

It would point up.

Explanation:

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Since the compass is free to swivel in any direction, the compass would point up, since it is at the earth's geographic north magnetic pole, the place on the earth's surface that compasses point toward.

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2 years ago
Which of the following is a sample of igneous rock?
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Answer:

I would say it's B. But just in case here is some information if I'm wrong.

Explanation:

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5 0
2 years ago
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ivann1987 [24]

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And that's why commercial radio broadcasting is still analog.
 
7 0
2 years ago
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