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3 years ago

11

Three taxi cabs make a complete trip from downtown to the airport and back in 15 , 33 and 55 minutes, respectively. If all three

cabs leave at the same time, what is the shortest time that must pass before they are all together again?

1 answer:

ludmilkaskok [199]3 years ago

3 0

Answer:

165 minutes

Explanation:

We can break the numbers into prime numbers

15 = 3 * 5

33 = 3 * 11

55 = 5 * 11

The shortest time that must pass before they are all together again would be the least multiple that is divisible by all 3 number, which is

3 * 5 * 11 = 165

Hence after 165 minutes the 3 cars should all meet together again.

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A 1400-kg car is traveling with a speed of 17.7 m/s. What is the magnitude of the horizontal net force that is required to bring

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The magnitude of the horizontal net force is 13244 N.

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s = distance

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3 years ago

You yell into a canyon. You hear the echo in 3 seconds. How long did the sound of your voice travel before bouncing off a cliff?

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Answer:

The sound travelled 516 meters before bouncing off a cliff.

Explanation:

The sound is an example of mechanical wave, which means that it needs a medium to propagate itself at constant speed. The time needed to hear the echo is equal to twice the height of the canyon divided by the velocity of sound. In addition, the speed of sound through the air at a temperature of 20 ºC is approximately 344 meters per second. Then, the height of the canyon can be derived from the following kinematic formula:

$2\cdot h = v\cdot t$ (1)

Where:

$h$ - Height, measured in meters.

$v$ - Velocity of sound, measured in meters per second.

$t$ - Time, measured in seconds.

If we know that $v = 344\,\frac{m}{s}$ and $t = 3\,s$ , then the height of the canyon is:

$h = \frac{v\cdot t}{2}$

$h = \frac{\left(344\,\frac{m}{s} \right)\cdot (3\,s)}{2}$

$h = 516\,m$

The sound travelled 516 meters before bouncing off a cliff.

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2 years ago

(a) Calculate the absolute pressure at the bottom of a fresh- water lake at a depth of 27.5 m. Assume the density of the water i

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Answer:

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a) The absolute pressure at a depth of 27.5 meters is:

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$F = 25.948\,kN$

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