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vekshin1
4 years ago
13

Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time–when they\'re not sleep

ing or eating–joyfully scampering about on the cage\'s floor. bryce tracks his mice\'s health diligently and just now recorded their masses as 0.0227 kg, 0.0217 kg, 0.0215 kg, and 0.0235 kg. at this very instant the x and y components of the mice\'s velocities are, respectively, (0.517 m/s, -0.493 m/s), (-0.603 m/s, -0.309 m/s), (0.373 m/s, 0.477 m/s), and (-0.853 m/s, 0.955 m/s). calculate the x and y components of bryce\'s mice\'s total momentum, px and py.
Physics
1 answer:
AleksandrR [38]4 years ago
3 0
By definition,
Momentum = Mass x Velocity.

For mouse of mass, m, and velocity components (Vx, Vy),
the components of momentum are
px = m*Vx
py = m*Vy

Construct a table to display m, Vx, Vy, px, and py as shown below.

  m, kg  Vx, m/s  Vy, m/s  px, (kg-m)/s  py (kg-m)/s
----------  ----------   ----------  -----------------  ----------------
0.0227    0.517    -0.493        0.0117        -0.0112
0.0217   -0.603    -0.309      -0.0131        -0.0067
0.0215    0.373      0.477       0.0080       0.0103
0.0235  -0.853     0.955      -0.0200       0.0224

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Answer:

The polar coordinate of P(x,y) = (-3.50\,m,-2.50\,m) is P (r,\theta) = (4.301\,m, 215.538^{\circ}).

Explanation:

Given a point in rectangular form, that is P(x,y) = (x,y), its polar form is defined by:

P(x,y) = (r,\theta) (1)

Where:

r - Norm, measured in meters.

\theta - Direction, measured in sexagesimal degrees.

The norm of the point is determined by Pythagorean Theorem:

r = \sqrt{x^{2}+y^{2}} (2)

And direction is calculated by following trigonometric relation:

\theta = \tan^{-1} \frac{y}{x} (3)

If we know that x = -3.50\,m and y = -2.50\,m, then the components of coordinates in polar form is:

r = \sqrt{(-3.50\,m)^{2}+(-2.50\,m)^{2}}

r \approx 4.301\,m

Since x < 0\,m and y < 0\,m, direction is located at 3rd Quadrant. Given that tangent function has a period of 180º, we find direction by using this formula:

\theta = 180^{\circ}+\tan^{-1} \left(\frac{-2.50\,m}{-3.50\,m} \right)

\theta \approx 215.538^{\circ}

The polar coordinate of P(x,y) = (-3.50\,m,-2.50\,m) is P (r,\theta) = (4.301\,m, 215.538^{\circ}).

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Answer: • using beaker tongs to handle the hot beaker.

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The options that will ensure laboratory safety during the experiment will be:

• using beaker tongs to handle the hot beaker.

• checking the beaker for chips prior to heating on the hot plate.

• Turning off the hot plate after use.

We should note that the beaker tongs are simply used in the holding of the beakers that have hot liquids in them. Also, it s vital for the hot plate to be turned off after its use so as to prevent accident.

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Answer:

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