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Kisachek [45]
3 years ago
9

Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average o

cean temperatures rise. To get some idea of the size of this effect, calculate the change in length of a column of water 1.00 km high for a temperature increase of 1.00ºC. Note that this calculation is only approximate because ocean warming is not uniform with depth. (answer in ×10^{-3} −3 m)
Physics
1 answer:
ludmilkaskok [199]3 years ago
7 0

Answer:

69×10⁻³ m

Explanation:

The linear thermal expansion coefficient for water is α = 69×10⁻⁶ K⁻¹.

Thermal expansion equation:

α ΔT = ΔL / L

Given ΔT = 1.00ºC = 1.00 K and L = 1.00 km = 1.00×10³ m:

(69×10⁻⁶ K⁻¹) (1.00 K) = ΔL / (1.00×10³ m)

ΔL = 0.069 m

ΔL = 69×10⁻³ m

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A 15 kg box is sliding down an incline of 35 degrees. The incline has a coefficient of friction of 0.25. If the box starts at re
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The box has 3 forces acting on it:

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• the normal force of the incline on the box (mag. <em>n</em>, pointing upward perpendicular to the incline)

• friction (mag. <em>f</em>, opposing the box's slide down the incline and parallel to the incline)

Decompose each force into components acting parallel or perpendicular to the incline. (Consult the attached free body diagram.) The normal and friction forces are ready to be used, so that just leaves the weight. If we take the direction in which the box is sliding to be the positive parallel direction, then by Newton's second law, we have

• net parallel force:

∑ <em>F</em> = -<em>f</em> + <em>w</em> sin(35°) = <em>m a</em>

• net perpendicular force:

∑<em> F</em> = <em>n</em> - <em>w</em> cos(35°) = 0

Solve the net perpendicular force equation for the normal force:

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Solve for the mag. of friction:

<em>f</em> = <em>µ</em> <em>n</em>

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Solve the net parallel force equation for the acceleration:

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<em>a</em> ≈ 3.6 m/s²

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<em>v</em>² = 2 (3.6 m/s²) (3 m)

<em>v</em> = √(21.7263 m²/s²)

<em>v</em> ≈ 4.7 m/s

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