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GalinKa [24]
3 years ago
7

One of the first scientists to theorize that heat is caused by the motion of objects or particles was Abū Rayhān al-Bīrūnī, who

lived in the region of modern-day Iran during the 11th century. In addition to his studies in physics and mathematics, al-Birunī was extremely interested in the different cultures of his time. Because of his detailed study of peoples and cultures, he is considered by many to be the "father of anthropology." About 600 years later, an English scientist named Robert Hooke also argued that heat is caused by motion. Hooke made many discoveries in physics, but he was also an accomplished architect and surveyor. He applied these skills to help rebuild London after the great fire of 1666. The above example suggests that A. scientists with different backgrounds never reach similar conclusions. B. scientists tend to come from similar backgrounds. C. scientists possess varied talents and interests. D. scientists have similar talents and interests.
Physics
1 answer:
posledela3 years ago
4 0

Answer:

C. scientists possess varied talents and interests.

Explanation:

The above passage suggests clearly that often times, scientists possess varied talents and interests.

Cases were made of  Abū Rayhān al-Bīrūnī and Robert Hooke. Both were scientists and had the same time had interests in other disciplines.

  • Abū Rayhān al-Bīrūnī, a Persian made scientific contribution to the studies of heat, more so, his interest in cultures lucidly made him an erudite and foremost founding father of anthropology. Physics/mathematics and Anthropology are different fields with varied interests.
  • Robert Hooke, was interested in physics. Besides this, he was skilled architect and surveyor. Physics and architecture/surveying are different fields. They are varied and dissimilar in nature.

Therefore, we can argue that the tone set by the author conveys a clear focal point that often times, scientists possess varied talents and interests.

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When the displacement of a mass on a spring in simple harmonic motion is A/2 from the equilibrium position, what fraction of the
KonstantinChe [14]

Answer:

The ratio is  KE : TM  =  0.75

Explanation:

from the question we are told that

  The displacement of a mass on a spring in simple harmonic motion is A/2 from the equilibrium position

Generally the total mechanical  energy of the mass is mathematically represented as

        TM  =  \frac{1}{2}  *  k  *  A^2

Here  k is the spring constant  ,  A is the total displacement of the  the mass  from maximum  compression to maximum extension of the spring

Generally this total mechanical energy is mathematically represented as

        TM  =  KE  + PE

=>     KE = TM  - PE

Here the potential  energy of the mass is mathematically represented as

     PE   = \frac{1}{ 2}  *  k *  [ x ]^2

Here x is the displacement of the mass from maximum compression or extension of the spring to equilibrium position and the value is  

      x = \frac{A}{2}

So

     PE   = \frac{1}{ 2}  *  k *  [ \frac{A}{2}  ]^2

So

      KE =  \frac{1}{2}  *  k  *  A^2 - \frac{1}{2}  *  k  *  [\frac{A}{2} ]^2

=>    KE =  \frac{1}{2}  *  k  *  A^2 - \frac{1}{8}  *  k  *  A ^2

=>    KE =  0.375  *  k  *  A^2

So the ratio of  KE :  TM is  mathematically represented as

       \frac{KE}{TM} =  \frac{0.375  k A^2 }{0.5 k A^2}

=>    \frac{KE}{TM} = 0.75

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