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Temka [501]
4 years ago
13

You are designing a ski jump ramp for the next Winter Olympics. Youneed to calculate the vertical height {h} from the starting g

ate to the bottom of the ramp. Theskiers push off hard with their ski poles at the start, just abovethe starting gate, so they typically have a speed of 2.0{\rm{ m/s}} as they reach the gate. For safety, the skiersshould have a speed of no more than 30.0 {\rm{ m/s}} when they reach the bottom of the ramp. Youdetermine that for a 86.0 kg skier with good form, friction and air resistance will dototal work of magnitude 4000 {\rm J} on him during his run down the slope.What is themaximum height {h} for which the maximum safe speed will not be exceeded?
Physics
1 answer:
Alex4 years ago
3 0

Answer:

h=50.46m

Explanation:

Our values are,

m = 86kg

v_i = 2m/s

v_f = 30m/s

W= 4000J

We only need to use conservative of energy,

K_1 + U_1 = K_2 + U_2 + W

\frac{1}{2}mv_i^2 + mgh = \frac{1}{2}mv_f^2 +0 +4000

\frac{1}{2}(86)(2)^2+(86)(9.8)h = \frac{1}{2}(86)(30)^2 +4000

h=50.46m

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Answer:

Explanation:

Initial velocity u = V₀ in upward direction so it will be negative

u = - V₀

Displacement s = H . It is downwards so it will be positive

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Using the formula

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= V₀² + 2 g H .

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A pizza delivery driver must make three stops on her route. She will first leave the restaurant and travel 4 km due north to the
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<h2>5.3 km</h2>

Explanation:

       This question involves continuous displacement in various directions. When it becomes difficult to imagine, vector analysis becomes handy.

       Let us denote each of the individual displacements by a vector. Consider the unit vectors \vec{i}\textrm{ and }\vec{j} as the unit vectors in the direction of East and North respectively.

       By simple calculations, we can derive the unit vectors \vec{j},\frac{-\vec{i}-\vec{j}}{2}\textrm{ and }\frac{-\frac{1}{2}\vec{i}+\frac{\sqrt{3}}{2}\vec{j}}{2} in the directions North, 45^{o} South of West and 60^{o} North of West respectively.

       So Total displacement vector = Sum of individual displacement vectors.

       Displacement vector = 4(\vec{j})+6(\frac{-\vec{i}-\vec{j}}{2})+5(\frac{-\frac{1}{2}\vec{i}+\frac{\sqrt{3}}{2}\vec{j}}{2})=-4.25\vec{i}+3.165\vec{j}

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Anywhere we have free electrons, we have a hard conductor where free electrons help in conduction.

 

In electrolytes, charged Ions do conduction.

 

Dielectrics (or insulators) don't have free electrons current.

 

Free electrons mean, the electrons that are not related with a specific atom, they are allowed to move nearby the crystal lattice.

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THE WALL MOVES AWAY FROM THE BALL

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