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lesya [120]
2 years ago
5

A stone with a mass of 1.0 kg is tied to the end of a light string which keeps it moving in a circle with a constant speed of 4.

0 m/s on a perfectly smooth horizontal tabletop. The radius of the path is 0.60 m. How much work does the tension in the string do on the stone as it makes one-half of a complete circle?
Physics
1 answer:
Gelneren [198K]2 years ago
3 0

Answer:

0 J

Explanation:

According to the work-energy theorem, the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle. Since the speed of the stone is constant, there is no change in its kinetic energy. Therefore, the tension in the string does not do any work.

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A ray of light crosses a boundary between two transparent materials. The medium the ray enters has a larger index of refraction.
Margarita [4]

Answer:

True, True, False, False, False, False.

Explanation:

The refraction index of a material is given by the formula n=c/v, where c is the speed of light in vacuum and v the speed of light in the material. If a ray of light crosses a boundary between two transparent materials and the medium the ray enters has a larger index of refraction it means that in this new medium the speed of light is smaller than on the other one, and then its wavelength is also reduced since f must remain the same (and \lambda=v/f), otherwise there is a discontinuity on number of vibrations per second, which cannot happen. So we know that:

1) The wavelength of the light decreases as it enters into the medium with the greater index of refraction. True.

2) The frequency of the light remains constant as it transitions between materials. True.

3) The speed of the light remains constant as it transitions between materials. False.

4) The speed of the light increases as it enters the medium with the greater index of refraction. False.

5) The frequency of the light decreases as it enters into the medium with the greater index of refraction. False.

6) The wavelength of the light remains constant as it transitions between materials.  False.

7 0
2 years ago
A horizontal uniform meter stick supported at the 50-cm mark has a mass of 0.50 kg hanging from it at the 20-cm mark and a 0.30
ElenaW [278]

Answer:

70 cm

Explanation:

0.5 kg at 20 cm

0.3 kg at 60 cm

x = Distance of the third 0.6 kg mass

Meter stick hanging at 50 cm

Torque about the support point is given by (torque is conserved)

0.5(50-20)=0.3(60-50)+0.6x\\\Rightarrow x=\dfrac{0.5(50-20)-0.3(60-50)}{0.6}\\\Rightarrow x=20\ cm

The position of the third mass of 0.6 kg is at 20+50 = 70 cm

7 0
2 years ago
Read 2 more answers
A 4.99 m long rod of negligible weight is attached on one end to a ball joint which allows the rod to rotate in all directions.
Aleksandr [31]

Answer:

The answer is 91.18 Nm

Explanation:

Solution

Recall that

The length of the rod = 4.99 m

∅ = 26°

Force = 62.5N

Now,

T = r * F

The direction of the torque will be in horizontally northward

The torque magnitude is  T =r F sin θ

where ∅ will be the angle between r + F  θ= 163°

Therefore,

T = 4.99 * 62.5 * sin 163

T =91.18 Nm

6 0
2 years ago
You perform nine (identical) measurements of the acceleration of gravity (units of m/s2): 10.1,9.87, 9.76, 9.91, 9.75, 9.88, 9.6
AveGali [126]

Answer:

0.01

Explanation:

Given the data:

10.1,9.87, 9.76, 9.91, 9.75, 9.88, 9.69, 9.83, 9.90

True value = 9.81

Mean value :

Σx / n

Sample size, n = 9

(10.1 + 9.87 + 9.76 + 9.91 + 9.75 + 9.88 + 9.69 + 9.83 + 9.90) / 9

= 88.69 / 9

= 9.854

Standard deviation (σ) :

Sqrt (Σ(X - m)² / n)

[(10.1 - 9.854)^2 + (9.87 - 9.854)^2 + (9.76 - 9.854)^2 + (9.91 - 9.854)^2 + (9.75 - 9.854)^2 + (9.88 - 9.854)^2 + (9.69 - 9.854)^2 + (9.83 - 9.854)^2 + (9.90 - 9.854)^2] / 9

Sqrt(0.113824 / 9)

Sqrt(0.0126471)

σ = 0.1124593

Standard Error = σ / sqrt(n)

Standard Error = 0.1124593 / 9

Standard Error = 0.0124954

Standard Error = 0.01 ( 1 significant digit)

3 0
2 years ago
The spring in a retractable ballpoint pen is 1.8 cm long, with a 300 N/m spring constant. When the pen is retracted, the spring
Eddi Din [679]

Answer:

The energy required to extend the pen is 7.2 mJ.

Explanation:

Given that,

Length = 1.8 cm

Spring constant = 300 N/m

Spring is compressed = 1.0 mm

Again, Compressed = 6.0 mm

Total compressed = 1.0+6.0 = 7.0 mm

We need to calculate the required energy

The energy required is equal to the change in spring potential energy

E=PE_{2}-PE_{1}

E=\dfrac{1}{2}kx_{2}^2-\dfrac{1}{2}kx_{1}^2

Put the value into the formula

E=\dfrac{1}{2}\times300\times(7.0\times10^{-3})^2-\dfrac{1}{2}\times300\times(1.0\times10^{-3})^2

E=0.0072\ J

E=7.2\ mJ

Hence, The energy required to extend the pen is 7.2 mJ.

7 0
2 years ago
Read 2 more answers
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