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Strike441 [17]
3 years ago
9

Two rocks are tied to massless strings and whirled in nearly horizontal circles so that the time to travel around the circle onc

e is the same for both. One string is twice as long as the other. The tension in the longer string is twice the tension in the shorter one. What is the mass m of the rock at the end of the shorter string compared to the mass m2 of the rock at the end of the longer one? A. m1 = m2/4 B. m1=m2 C. m m2 D. m1=2m2 E. m1= 4m2
Physics
1 answer:
Fynjy0 [20]3 years ago
3 0

Answer:m_1=m_2

Explanation:

Given

Time period for both string is same

\frac{2\pi r}{v_1}=\frac{2\pi 2r}{v_2}

2v_1=v_2

and tension in string 2 is  twice the first string

2T_1=T_2

Tension will provide centripetal acceleration

2\frac{m_1v_1^2}{r}=\frac{m_2v_2^2}{2r}

2\frac{m_1v_1^2}{r}=\frac{m_2\times 4v_1}{2r}

thus m_1=m_2

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Kruka [31]

Answer:

 ΔT = \pi \ \frac{\Delta L}{\sqrt{Lg} }

Explanation:

In a simple harmonic motion, specifically in the simple pendulum, the angular velocity

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angular velocity and period are related

          w = 2π / T

we substitute

          2π / T = \sqrt{\frac{g}{L} }

          T = 2\pi  \ \sqrt{\frac{L}{g} }

In this exercise indicate that for a long Lo the period is To, then and increase the long

          L = L₀ + ΔL

we substitute

           T = 2\pi  \ \sqrt{\frac{L + \Delta L}{g} }

            T = 2\pi  \ \sqrt{\frac{L}{g} } \ \sqrt{1+ \frac{\Delta L}{L} }

in general the length increments are small ΔL/L «1, let's use a series expansion

           \sqrt{1+ \ \frac{\Delta L}{L} } = 1 + \frac{1}{2} \frac{\Delta L}{L} + ...  

we keep the linear term, let's substitute

           T = 2\pi  \ \sqrt{\frac{L}{g} } \ ( 1 + \frac{1}{2} \frac{\Delta L}{L}  )  

if we do

           T = T₀ + ΔT

           

           T₀ + ΔT = 2\pi  \sqrt{\frac{\Delta L}{g} }  + \pi  \ \sqrt{\frac{L}{g} } \ \frac{\Delta L}{L}

            T₀ + ΔT = T₀ + \pi  \sqrt{\frac{1}{Lg} } \ \Delta L

            ΔT = \pi \ \frac{\Delta L}{\sqrt{Lg} }

4 0
3 years ago
Which of the following lies in the ecliptic plane?
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<u />

It should be noted that the ecliptic plane (which is the same orbital plane of the Earth in its translation movement) is tilted with respect to the equator of the planet about 23\° approximately. This is due to the inclination of the Earth's axis.

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4 years ago
A student does 25 J of work on the handle of a pencil sharpener. If the pencil sharpener does 20 J of work on the pencil, what i
allsm [11]

Answer:

80%

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3 0
3 years ago
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il63 [147K]

Answer:

4.399 Nm

Explanation:

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τ = 4.399 Nm

3 0
3 years ago
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