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Natalka [10]
3 years ago
6

Find the vector v with the given magnitude and the same direction as u. Magnitude ||v|| = 10 Direction u = ⟨-3. 4⟩.

Physics
1 answer:
Alisiya [41]3 years ago
4 0

Answer:

(-6,8)

Explanation:

Since v has direction as u, it must be a multiple n of u.

\sqrt{(-3n)^+(4n)^2}=10\\9n^2+16N^2 =100\\n^2=4\\n=2

therefore v = (3×2, 4×2) = (-6,8)

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2 years ago
Skater 1 has a mass of 105.0 kg and a velocity of 2.0 m/s to the left. He
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The final velocity of skater 1 is 3.7 m/s to the right. The right option is O A. 3.7 m/s to the right.

<h3>What is velocity?</h3>

Velocity can be defined as the ratio of the displacement and time of a body.

To calculate the final velocity of Skater 1 we use the formula below.

Formula:

  • mu+MU = mv+MV............ Equation 1

Where:

  • m = mass of the first skater
  • M = mass of the second skater
  • u = initial velocity of the first skater
  • U = initial velocity of the second skater
  • v = final velocity of the first skater
  • V = final velocity of the second skater.

make v the subject of the equation.

  • v = (mu+MU-MV)/m................ Equation 2

Note: Let left direction represent negative and right direction represent positive.

From the question,

Given:

  • m = 105 kg
  • u = -2 m/s
  • M = 71 kg
  • U = 5 m/s
  • V = -3.4 m/s.

Substitute these values into equation 2

  • v = [(105×(-2))+(71×5)-(71×(-3.4))]/105
  • v = (-210+355+241.4)/105
  • v = 386.4/105
  • v = 3.68 m/s
  • v ≈ 3.7 m/s

Hence, the final velocity of skater 1 is 3.7 m/s to the right. The right option is O A. 3.7 m/s to the right.

Learn more about velocity here: brainly.com/question/25749514

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