All categories

18 days ago

2. An airplane traveling north at 220. meters per second encounters a 50.0-meters-per-second crosswind

Physics

1 answer:

Yuliya22 [2.4K]18 days ago

5 0

The speed resulting from the plane is (3) 226 m/s

Reasoning:

We can determine the plane's resultant speed using the Pythagorean Theorem because the two speeds form a right angle (creating a right triangle).

Thus, the computation is as follows:

$ResultantSpeed=\sqrt{VerticalSpeed^{2}+HorizontalSpeed^{2}}\\\\ResultantSpeed=\sqrt{(220\frac{m}{s})^{2}+50\frac{m}{s})^{2}$

$ResulntantSpeed=\sqrt{48400\frac{m^{2} }{s^{2} }+2500\frac{m^{2} }{s^{2} } } \\\\ResultantSpeed=\sqrt{50900\frac{m^{2} }{s^{2} }}=226\frac{m}{s}$

Consequently, the plane's resultant speed is (3) 226 m/s

Have a wonderful day!

You might be interested in

The radius of the earth's orbit around the sun (assumed to be circular) is 1.50 108 km, and the earth travels around this orbit

kicyunya [2264]

(a) 29,905 m/s

The speed of Earth's orbit around the Sun can be obtained by dividing the total distance of the orbit by the duration of the orbital period:

$v=\frac{2\pi r}{T}$

where

$r=1.50 \cdot 10^8 km = 1.50 \cdot 10^{11} m$ represents the radius of the orbit

$T=365 d \cdot 24 h/d \cdot 60 min/h \cdot 60 s/min =3.15 \cdot 10^7 s$ is the period taken for a complete orbit by Earth

By plugging values into this formula, we can calculate the orbital speed:

$v=\frac{2\pi (1.50\cdot 10^{11} m)}{(3.15\cdot 10^7 s)}=29,905 m/s$

(b) $5.96\cdot 10^{-3} m/s^2$

The centripetal acceleration that Earth experiences as it is drawn toward the sun is called radial acceleration:

$a=\frac{v^2}{r}$

where

v = 29,905 m/s is the orbital speed

$r=1.50 \cdot 10^8 km = 1.50 \cdot 10^{11} m$ is the radius of the orbit

By inserting into the relevant equation, we can derive:

$a=\frac{(29,905 m/s)^2}{(1.50\cdot 10^{11} m)}=5.96\cdot 10^{-3} m/s^2$

(c) 6,801 m/s

For the planet Uranus, we can determine:

$r=2.87 \cdot 10^9 km = 2.87 \cdot 10^{12} m$ is the radius of its orbit

$T=84.02 y \cdot 365 d/y \cdot 24 h/d \cdot 60 min/h \cdot 60 s/min =2.65 \cdot 10^9 s$ is the time it takes for one complete orbit

Thus, the orbital speed is calculated as:

$v=\frac{2\pi (2.87\cdot 10^{12} m)}{(2.65\cdot 10^9 s)}=6,801 m/s$

(d) $1.61\cdot 10^{-5} m/s^2$

For Uranus, with v = 6,801 m/s marking the orbital speed

$r=2.87 \cdot 10^9 km = 2.87 \cdot 10^{12} m$ is the orbital radius

Thus, the radial acceleration can be expressed as:

$a=\frac{(6,801 m/s)^2}{(2.87\cdot 10^{12} m)}=1.61\cdot 10^{-5} m/s^2$

6 0

20 days ago

When a perfume bottle is opened, some liquid changes to gas and the fragrance spreads around the room. Which sentence explains t

inna [2210]

A.

The absence of a defined volume in gases causes them to disperse throughout the air.

7 0

1 month ago

Read 2 more answers

If the potential difference across the bulb in a certain flashlight is 3.0 V, What is the potential difference across the combin

Yuliya22 [2438]

Answer:

The voltage across the bulb measures 3.0 V,

Explanation:

The bulb's voltage aligns with the voltage of the batteries, as they are the only power source for the bulb. Therefore, the voltage across the batteries is 3.0 V.

3 0

18 days ago

Which contributions did Galileo make to the model of the solar system? Select two options.a mathematical model for the orbits of

Sav [2230]

Galileo's contributions to the solar system model include: Data indicating that planets reflect sunlight like the Moon, and his observations of Jupiter's moons orbiting the gas giant. With the assistance of an early telescope that he constructed, Galileo made these two significant discoveries.

7 0

7 days ago

A champion athlete can produce one horsepower (746 W) for a short period of time. The number of 16-cm-high steps a 70-kg athlete

Sav [2230]

Answer:

407 steps

Explanation:

Based on the question,

P = mgh/t........... Equation 1

Where P stands for power, m is mass, g denotes gravity, h is height, and t represents time.

Rearranging the equation to solve for h, we have:

h = Pt/mg............. Equation 2

Providing values: P = 746 W, t = 1 minute = 60 seconds, m = 70 kg.

Given constant: g = 9.8 m/s²

By substituting into equation 2

h = 746(60)/(70×9.8)

h = 44760/686

h = 65.25 m

h = 6525 cm

Calculating number of steps: 6525/16

The resulting number of steps = 407 steps

6 0

1 month ago