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liubo4ka
2 months ago
5

A book slides across a level, carpeted floor with an initial speed of 3.25 m/s and comes to rest after 3.25 m. Calculate the coe

fficient of kinetic friction ????k between the book and the carpet. Assume the only forces acting on the book are friction, weight, and the normal force.
Physics
1 answer:
Maru [3.3K]2 months ago
8 0

Answer:

The coefficient of kinetic friction calculates to 0.165.

Explanation:

Given that,

Initial speed = 3.25 m/s

Distance traveled = 3.25 m

We must figure out the acceleration

Applying the third equation of motion

v^2=u^2+2as

a=\dfrac{v^2-u^2}{2s}

Where a = acceleration

u = starting velocity

v = ending velocity

s = distance

Insert the values into the formula

a=\dfrac{-(3.25)^2}{2\times3.25}

a=-1.625\ m/s^2

The negative sign indicates deceleration

Next, we calculate the coefficient of kinetic friction.

Using the frictional force

F_{k} =k mg....(I)

Where k = kinetic friction coefficient

m = mass

g = gravitational acceleration

Utilizing Newton's second law

F = ma....(II)

Setting equations (I) and (II) equal to each other

k mg=ma

k=\dfrac{a}{g}

k=\dfrac{1.625}{9.8}

k=0.165

Thus, the coefficient of kinetic friction is determined to be 0.165.

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Answer:

s = 307.34 m

Explanation:

To determine the distance the dragster traveled during the specified time, we will apply the second equation of motion, expressed as follows:

s = Vi t + (0.5)at²

where,

s = distance traveled by the dragster =?

Vi = Initial Velocity = 0 m/s

t = time interval = 3.97 s

a = acceleration = 39 m/s²

Thus,

s = (0 m/s)(3.97 s) + (0.5)(39 m/s²)(3.97 s)²

s = 307.34 m

5 0
2 months ago
An uncharged spherical conducting shell surrounds a charge –q at the center of the shell. Then charge +3q is placed on the outsi
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Answer:The charges on the inner and outer surfaces of the shell are +q and -q, respectively

Explanation:

In static equilibrium within a conductor, the total electric field, denoted as E, equals zero

This indicates that no charge can be in motion, maintaining the static state of equilibrium within the conductor.

Since the Electric field, E remains zero, the flux through the shell’s surface is also zero.

According to Gauss' law, the total enclosed charge must be zero.

Given that the center of the shell has a charge of -q, the positive charge on the inner surface must be +q in order for the total charge enclosed to balance out to zero.

As the charge resides in static equilibrium, there will be a corresponding negative charge on the outer surface, which totals to -q.

This leads us to the conclusion that the charges on the inner and outer surfaces of the shell are +q and -q, respectively

8 0
1 month ago
An astronaut takes a tuning fork with her to the moon she strikes it inside the cabin the cabin is normally filled with air so t
Keith_Richards [3271]
d a and b: it vibrates in both scenarios but differs in whether the sound is audible or not. The absence or presence of molecules does not prevent the tuning fork from vibrating, but it can obstruct hearing, as sound necessitates a mechanical wave medium. This brings us to (c) where the vibrations do occur, but they cannot reach your ears due to the lack of a medium.
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(a) A 15.0 kg block is released from rest at point A in the figure below. The track is frictionless except for the portion betwe
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Answer:

(a) the coefficient of friction is 0.451

This was derived using the energy conservation principle (the total energy in a closed system remains constant).

(b) No, the object stops 5.35 m away from point B. This is due to the spring's expansion only performing 43 J of work on the block, which isn't sufficient compared to the 398 J required to overcome friction.

Explanation:

For more details on how this issue was resolved, refer to the attached material. The solution for part (a) separates the body’s movement into two segments: from point A to B, and from B to C. The total system energy originates from the initial gravitational potential energy, which transforms into work against friction and into work compressing the spring. A work of 398 J is needed to counteract friction over the distance of 6.00 m. The energy used for this is lost since friction is not a conservative force, leaving only 43 J for spring compression. When the spring expands, it exerts a work of 43 J back on the block, which is only sufficient to move it through a distance of 0.65 m, stopping 5.35 m short of point B.

Thank you for your attention; I trust this is beneficial to you.

4 0
2 months ago
At a location where the acceleration due to gravity is 9.807 m/s2, the atmospheric pressure is 9.891 × 104 Pa. A barometer at th
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Answer:

8616.7468 \ kg/m^3

Explanation:

The measurement of pressure is indicated as p=\rho gh where p denotes the pressure, \rho signifies density, and h represents height

Given values include pressure p=9.891\times 10^4\ Pa, gravity's acceleration g=9.9870\ m/sec^2, and height =1.163 m

\rho =\frac{p}{gh}=\frac{9.891\times 10^4}{9.870\times 1.163}=8616.7468 \ kg/m^3

5 0
1 month ago
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