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maw [93]
3 years ago
15

The Kentucky Derby, the first leg of horse racing’s Triple Crown, was won by a time of 122.2 s. If the race covers 2011.25 m, wh

at was the average speed in a) m/s and b) in mi/h?
20 Extra points! Please help
Physics
2 answers:
kirza4 [7]3 years ago
3 0
The answer is 789.25 which you’d subtract 2011.25-122.2 I think sry if I’m wrong
Tom [10]3 years ago
3 0

Answer:

a) 16.45 \frac{m}{s} b) 36.94 \frac{mi}{h}

Explanation:

The average speed is given by the formula: \frac{distance}{time}

The distance covered is 2011.25m , and the time is 122.2s.

Replacing in the formula: speed_{avg} = \frac{2011.25 m}{122.2s}

Resulting in a) speed_{avg} = 16.45 \frac{m}{s}.

To get the result in mi/h, do the following conversion:

<em>Knowing : 1 mi = 1603 m   and  1 h = 3600 seg </em>

  • <em> 16.45\frac{ m}{s}*(\frac{1mi}{1603m } ) *(\frac{3600s}{1h} ) = 36.94\frac{mi}{h}</em>

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Answer:

C: Light travels from the Sun to the grass and is then reflected to your eyes.

Explanation:

Our eyes don't produce light but detect light (so answer A is not correct)

The grass doesn't produce light unless it is burning (discard answer B)

Answer C is the correct one.

The light we detect from the grass is not light bounced off the sky, it comes directly from the grass to your eyes (you are not looking at the sky when you see the grass) Discard answer D

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Two velcro-covered pucks slide across the ice, collide and stick to one another. Their interaction with the ice is frictionless.
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Answer:

<em>1. False</em>

<em>2. True</em>

<em>3. False</em>

<em>4. True</em>

Explanation:

<u>Conservation of Momentum</u>

According to the law of conservation of linear momentum, the total momentum of the system formed by both pucks won't change regardless of their interaction if no external forces are acting on the system.

The momentum of an object of mass ma moving at speed va is

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The total momentum of both pucks at the initial condition is

p_1=m_a.v_a+m_b.v_b

Both pucks are moving to the right and puck B has twice the mass of puck A (let's call it m), thus

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v_a=6\ m/s\\v_b=2\ m/s

The total initial momentum is

p_1=6m+2(2m)=10m

At the final condition, both pucks stick together, thus the total mass is 3m and the final speed is common, thus

p_2=3m.v'

Equating the initial and final momentum

10m=3m.v'

Solving for v'

v'=10/3\ m/s=3.33\ m/s

1. Compute the initial kinetic energy:

\displaystyle K_1=\frac{1}{2}mv_a^2+\frac{1}{2}2mv_b^2

\displaystyle K_1=\frac{1}{2}m\cdot 6^2+\frac{1}{2}2m\cdot 2^2

K_1=18m+4m=22m

The final kinetic energy is

\displaystyle K_2=\frac{1}{2}mv'^2+\frac{1}{2}2mv'^2

\displaystyle K_2=\frac{1}{2}m\cdot 3.33^2+\frac{1}{2}2m\cdot 3.33^2

K_2=16.63m

As seen, part of the kinetic energy is lost in the collision, thus the statement is False

2. The initial speed of puck B was 2 m/s and the final speed was 3.33 m/s, thus it increased the speed: True

3. The initial speed of puck A was 6 m/s and the final speed was 3.33 m/s, thus it decreased the speed: False

4. The momentum is conserved since that was the initial assumption to make all the calculations. True

p_1=10m

p_2=3m.v'=3m(10/3)=10m

Proven

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Given by:

V∝λ

Example:

For a constant frequency, If the wavelength is doubled. The velocity of the wave will also double.

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