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Lilit [14]
2 years ago
15

A pendulum is raised to a certain height and released from point A, as shown in the image below. At its release, the pendulum is

also given an initial velocity of 14 m/s. Assuming that the effects of friction and air resistance can be ignored, what will be the maximum height that the pendulum can reach - that is , what is the height at point B? (Recall that g = 9.8 m/s2.)

Mathematics
2 answers:
sweet-ann [11.9K]2 years ago
7 0

The maximum height that the pendulum can reach will be 45 meters.

<h3>How to calculate the height?</h3>

It should be noted that the total energy at A should be equal to the total energy at B.

Therefore, this will be calculated thus:

1/2(14)² + 10(35) = 1/2(0)² + mgH

98 + 350 = 10H

448 = 10H

H = 448/10

H = 44.8 meters

H = 45 meters approximately

Learn mote about height on:

brainly.com/question/983412

#SPJ1

o-na [289]2 years ago
7 0

Answer:

  D.  20 m

Step-by-step explanation:

The potential energy at Point B will be the sum of the potential and kinetic energies at point A.

__

<h3>energy formulas</h3>

For mass M, the potential energy at h meters above a rest height is ...

  PE = Mgh

The kinetic energy of mass M with velocity v is ...

  KE = 1/2Mv²

<h3>point A energy</h3>

A pendulum with mass M launched downward at v = 14 m/s will have a total energy of ...

  PE +KE = M(9.8 m/s²)(10 m) +1/2(M)(14 m/s)² = M(98 +98) = 196M J/kg

<h3>point B energy</h3>

When the pendulum comes to rest at point B, its energy will all have been converted to potential energy. Then the height at point B is given by ...

  PE = Mgh

  196M J/kg = M(9.8 m/s²)h

  h = (196M)/(9.8M) m = 20 m

The height of the mass at point B will be 20 meters.

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<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

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