answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vodka
1 month ago
15

An airplane flies with a velocity of 55.0 m/s [35o N of W] with respect to the air (this is known as air speed). If the velocity

of the airplane according to an observer on the ground is 40.0 m/s [53o N of W], what was the wind velocity?
Physics
1 answer:
ValentinkaMS [3.4K]1 month ago
5 0
V - wind speed;
53° - 35° = 18°
v² = 55² + 40² - 2 · 55 · 40 · cos 18°
v² = 3025 + 1600 - 2 · 55 · 40 · 0.951
v² = 440.6
v = √440.6
v = 20.99 ≈ 21 m/s
Conclusion: The wind speed calculates to 21 m/s.  
You might be interested in
"If E = 7.50V and r=0.45Ω, find the minimum value of the voltmeter resistance RV for which the voltmeter reading is within 1.0%
ValentinkaMS [3465]

Answer:

The minimum resistance value is R_V =44.552\ \Omega

Explanation:

According to the question, we have:

                  The voltage given as E = 7.5V

                  The internal resistance as r = 0.45

The goal here is to find the minimum resistance for the voltmeter such that its reading is within 1.0% of the battery's emf.

This means we require voltmeter resistance such that:

                              V = (100% - 1%) of E

Where E is the battery's e.m.f. and V is the voltmeter reading.

So, V = 99% of E = 0.99 E = 7.425.

In general, we have:

                E = V + ir

where ir denotes the internal voltage drop across the voltmeter, and V is the reading from the voltmeter.

By rearranging, we get:

            i = \frac{(E-V)}{r}

               =\frac{7.50-7.425}{0.45}

              = 0.1667 A

Since the current remains constant throughout the circuit:

                  V = iR_V

where R_V is the voltmeter resistance value.

Hence, R_V = \frac{V}{i} = \frac{7.425}{0.1667}

                                  =44.552\ \Omega

                       

8 0
2 months ago
An object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in
Maru [3345]
a.) 10 Hz b.) 0.1 s c.) 187.4 m/s d.) -412.6 m/s²
8 0
2 months ago
A uniform electric field of 2 kNC-1 is in the x-direction. A point charge of 3 μC initially at rest at the origin is released. W
ValentinkaMS [3465]
The force due to electricity on the charge is calculated by multiplying the charge by the intensity of the electric field:
F=qE
in our scenario, where q=3 \mu C= 3 \cdot 10^{-6} C and E=2 kN/C=2000 N/C, resulting in the force of
F=(3 \cdot 10^{-6} C)(2000 N/C)=0.006 N

Initially, the kinetic energy of the particle is at zero (as it remains stationary), which means its final kinetic energy is equal to the work performed by the electric force over a distance of x=4 m:
K(4 m)=W=Fd=(0.006 N)(4 m)=0.024 J
8 0
2 months ago
Joan and Mike's teacher show them a picture of an atom and ask them to identify it using the periodic table. Joan says the atom
ValentinkaMS [3465]
Since we can't see the image the teacher has provided, we must deduce its content based on clues from the answer choices. The image likely illustrates an atom containing 3 protons and 3 neutrons in the nucleus, along with 3 electrons orbiting it. If that is the case, Mike is correct (first choice) because the atomic number indicates the number of protons present in an atom. Since there are 3 protons, it corresponds to lithium, which has an atomic number of 3. The second choice is false, as electrons do not factor into atomic mass. The third and fourth options are also incorrect; regrettably, Joan does not grasp the concepts accurately.
3 0
1 month ago
At time t=0 a proton is a distance of 0.360 m from a very large insulating sheet of charge and is moving parallel to the sheet w
serg [3582]

Explanation:

The formula for the electric field produced by an infinite sheet of charge is outlined below.

               E = \frac{\sigma}{2 \epsilon_{o}}

where,   \sigma is the surface charge density

Following this, the formula for the electric force acting on a proton is given as:

             F = eE

where,    e is the charge of a proton

According to Newton's second law of motion, the overall force on the proton can be expressed as follows.

                       F = ma

                 a = \frac{eE}{m}

                    = \frac{e(\frac{\sigma}{2 \epsilon_{o}})}{m}

                     = \frac{e \sigma}{2m \epsilon_{o}}

According to kinematic equations, the proton's speed in the perpendicular direction can be described as follows.

              v_{f} = v_{i} + at

                     = (0 m/s) + \frac{e \sigma}{2 m \epsilon_{o}}t

                     = \frac{1.6 \times 10^{-19}C \times 2.34 \times 10^{-9} C/m^{2} \times 5.40 \times 10^{-8}s}{2 \times (1.67 \times 10^{-27} kg)(8.85 \times 10^{-12} C^{2}/Nm^{2}}

                     = 683.974 m/s

Thus, the overall speed of the proton can be calculated as follows.

                v' = \sqrt{(960 m/s)^{2} + (683.974 m/s)^{2}}

                    = \sqrt{921600 + 467820.43}

                    = \sqrt{1389420.43}

                    = 1178.73 m/s

Consequently, we conclude that the proton's speed is 1178.73 m/s.

3 0
1 month ago
Other questions:
  • a closed tank is partially filled with glycerin. if the air pressure in the tank is 6 lb/in.2 and the depth of glycerin is 10 ft
    7·1 answer
  • A 2600-m-high mountain is located on the equator. how much faster does a climber on top of the mountain move than a surfer at a
    14·1 answer
  • Lucy took 3 hours to cover 2/3 of a journey. She covered the remaining 60 miles in 2 hours. What was the average speed for the w
    12·1 answer
  • Estimate the monthly cost of using a 700-W refrigerator that runs for 10 h a day if the cost per kWh is $0.20.
    12·1 answer
  • A Top Fuel Dragster initially at rest undergoes an average acceleration of 39 m/s2 for 3.97 seconds. How far will it go in this
    15·1 answer
  • What is E(r), the radial component of the electric field between the rod and cylindrical shell as a function of the distance r f
    7·1 answer
  • Dave and Alex push on opposite ends of a car that has a mass of 875 kg. Dave pushes the car to the right with a force of 250 N,
    7·1 answer
  • An electron is moving horizontally in a laboratory when a uniform electric field is suddenly turned on. This field points vertic
    6·1 answer
  • Which best describes nuclear fusion?
    5·2 answers
  • A 0.25-m string, vibrating in its sixth harmonic, excites a 0.96-m pipe that is open at both ends into its second overtone reson
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!