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RoseWind [281]
2 years ago
10

A rotating turntable (rt=4.50 m) is rotating at a constant rate. At the edge of the turntable is a mass (m = 3.00 kg) on the end

of a 5.00 m - long string (L). If theta = 40.0o,determine:
Physics
1 answer:
navik [9.2K]2 years ago
4 0

The magnitude of the tension in the string is 9.31 N.

<h3>Tension in the string</h3>

The magnitude of the tension in the string in the horizontal circle formed by the turn table is calculated as follows;

T = Fcos(θ)

where;

  • F is centripetal force
  • θ is inclination of the string

T = \frac{mv^2}{r} \times cos(\theta)\\\\T = \frac{3 \times 4.5^2}{5} \times cos(40)\\\\T = 9.31 \ N

Thus, the magnitude of the tension in the string is 9.31 N.

The complete question is below:

A rotating turntable (rt=4.50 m) is rotating at a constant rate. At the edge of the turntable is a mass (m = 3.00 kg) on the end of a 5.00 m - long string (L). If theta = 40.0o,determine the magnitude of the tension in the string.

Learn more about tension in horizontal circle here: brainly.com/question/12803719

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By definition, the momentum is given by:
 p = m * v
 Where,
 m = mass
 v = speed.
 On the other hand,
 F = m * a
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 a = acceleration:
 For the boy we have:
 p1 = m * v
 p1 = (F / a) * v
 p1 = ((710) / (9.81)) * (0.50)
 p1 = 36.19 Kg * (m / s)
 For the girl we have:
 p2 = m * v
 p2 = (F / a) * v
 p2 = ((480) / (9.81)) * (v)
 p2 = 48.93 * v Kg * (m / s)
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 Clearing v:
 v = - (36.19) / (48.93)
 v = -0.74 m / s (negative because the velocity is in the opposite direction of the boy's)
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 the girl's velocity in m / s after they push off is -0.74 m / s
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3 years ago
when a cup of hot chocolate cools from 90c to 80c which of the following is happening to the molecules of the liquid
Murljashka [212]

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An electron in a hydrogen atom is in a p state. Which of the following statements is true?
zhenek [66]

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The electron’s wavefunction has at least one node (i.e., at least one place in space where it goes to zero).

Explanation:

We know that the p-orbitals have nodes. A node is a region where the probability of finding an electron goes down to zero.

P orbitals are oriented along the x,y,z Cartesian axes and are known to have angular nodes along the axes.

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The specific heat of water is 4.18 J/gºC. How many Joules of
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Answer:

Q = 59565 [J]

Explanation:

In order to calculate the amount of thermal energy needed we must use the following equation.

Q=m*C_{p}*(T_{i}-T_{f})

where:

m = mass = 150 [g]

Cp = 4.18 [J/g*°C]

Tfinal = 5 [°C]

Tinitial = 100 [°C]

Now replacing:

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8 0
2 years ago
A small mirror is attached to a vertical wall, and it hangs a distance of 1.86 m above the floor. The mirror is facing due east,
Katyanochek1 [597]

Answer:

t=2.044\ hr

Explanation:

From the schematic we can visualize the situation and the position of the rays falling on the floor.

<em>Considering the given data from the lowest edge of the mirror.</em>

  • We get a triangle with height of 1.86 meters.
  • In the first instance the base of the triangle is 3.8 meters.
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<u>Now applying the trigonometric ratio to known sides in the first instance:</u>

tan\ \theta_1=\frac{1.86}{3.8}

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<u>Applying the trigonometric ratio to known sides in the second instance:</u>

tan\ \theta_2=\frac{1.86}{1.22}

\theta_2=56.74^{\circ}

Now by the law of reflection we know that the angle of incidence is equal to the angle of reflection. So the sun would have been at the same angle on the opposite side of the normal.

<u>Hence the change in angle of the sun with respect to the mirror (also the earth)</u>

\Delta \theta=\theta_2-\theta_1

\Delta \theta=56.74-26.08

\Delta \theta=30.66^{\circ}

<u>Now the time past for this change:</u>

t=\frac{\Delta \theta}{\omega}

t=\frac{30.66}{15}

t=2.044\ hr

7 0
3 years ago
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