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spin [16.1K]
1 year ago
9

A pendulum is made by tying a 75 g ball to a 130-cm-long string. the ball is pulled 5.0∘ to the side and released.

SAT
1 answer:
Maslowich1 year ago
6 0

The ball’s speed and direction at the lowest point of trajectory are; 3.1 m/s and swing to the same angle on the other side

<h3>What is the speed at the lowest point?</h3>

We will assume that all of the motion will transfer to Kinetic Energy at the lowest point. Now, the difference in height will be;

Δh = (130 – 130*cos °5) = 0.49 cm

The change in PE is;

ΔP.E = mgΔh

ΔP.E = 9.8m/s² × 0.75kg × 0.049 m

ΔP.E = 0.36015 J

Formula for kinetic energy is;

K.E = ¹/₂*m*v²

From conservation of energy;

K.E = P.E

Thus;

¹/₂* 0.075 * v² = 0.36015

v = √[(0.36015 * 2)/0.075]

v = 3.1 m/s

Thus, the pendulum will swing to the same angle on the other side.

Read more about Speed of Pendulum at; brainly.com/question/17054952

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The standard error of the difference of sample means is 0.444

From the complete question, we have the following parameters

<u>Canadians</u>

  • Sample size = 50
  • Mean = 4.6
  • Standard deviation = 2.9

<u>Americans</u>

  • Sample size = 60
  • Mean = 5.2
  • Standard deviation = 1.3

The standard error of a sample is the quotient of the standard deviation and the square root of the sample size.

This is represented as:

SE = \frac{\sigma}{\sqrt n}

The standard error of the Canadian sample is:

SE_1 = \frac{2.9}{\sqrt{50}}

So, we have:

SE_1 = 0.41

The standard error of the American sample is:

SE_2 = \frac{1.3}{\sqrt{60}}

So, we have:

SE_2 = 0.17

The standard error of the difference of sample means is then calculated as:

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brainly.com/question/6851971

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