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Minchanka [31]
2 years ago
14

Skater N, 58.9 kg, is moving north at a speed of 7.8 m/s when she collides with Skater E, 72.6 kg, moving east at 3.5 m/s. The t

wo skaters are stuck together. In what direction do they move after the collision?
a. 61 degrees c. 32 degrees

b. 45 degrees d. 27 degrees
Physics
1 answer:
Alik [6]2 years ago
4 0

The direction of the skaters after the collision is 61 degrees.

<h3>Momentum of the skaters</h3>

The momentum of the skaters is calculated as follows;

P(N) = 58.9 x 7.8 = 459.42 kgm/s

P(E) = 72.6 x 3.5 = 254.1 kgm/s

<h3>Direction of the skaters after collision</h3>

The direction of the skaters after the collision is calculated as follows;

\theta = tan^{-1} (\frac{459.42}{254.1} )\\\\\theta = 61^ 0

Thus, the direction of the skaters after the collision is 61 degrees.

Learn more about direction of collision here: brainly.com/question/25891473

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vagabundo [1.1K]

Taking into account the rule of three for the change of units, the mass of the book is 45600 miligrams.

First of all, the rule of three is a mathematical tool that helps you quickly solve proportionality problems.

Having three known values ​​and one unknown, a proportional relationship is established between all of them in order to find the fourth term of the proportion.

If the relationship between the magnitudes is direct (when one magnitude increases, so does the other; or when one magnitude decreases, so does the other), the rule of three is applied as follows, where a, b and c are known values ​​and x is the unknown to calculate:

a → b

c → x

So: x=\frac{cxb}{a}

Being 1 kg equivalent to 1000000 milligrams, In this case the rule of three is applied as follows: if 1 kg equals 1000000 milligrams, 4.56×10⁻² kg equals how many milligrams?

1 kg → 1000000 milligrams

4.56×10⁻² kg  → x

So:

x=\frac{4.56x10^{-2} kg x1000000 miligrams }{1 kg}

<u><em>x=45600 miligrams</em></u>

In summary, the mass of the book is 45600 miligrams.

Learn more:

  • <u>brainly.com/question/4805238?referrer=searchResults</u>
  • <u>brainly.com/question/5025657?referrer=searchResults</u>
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