1answer.
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
charle [14.2K]
3 years ago
5

An airplane flies 20km in a direction 60 degrees north of east, then 30 km straight east, then 10km straight north. How far and

in what direction is the plane from the starting point​
Physics
1 answer:
Fed [463]3 years ago
6 0

Answer:

48.4 km, 34.3° north of east

Explanation:

Let's say east is the +x direction and north is the +y direction.

Adding up the x components of the vectors:

x = 20 cos 60 + 30 + 0

x = 40 km

Adding up the y components of the vectors:

y = 20 sin 60 + 0 + 10

y = 27.3 km

The magnitude of the displacement is:

d = √(x² + y²)

d = 48.4 km

The direction is:

θ = atan(y/x)

θ = 34.3° north of east

You might be interested in
The 4kg head of a sledge hammer is moving at 6m/s when it strikes a chisel, driving it into a log. The duration of the impact (o
LUCKY_DIMON [66]

Answer:

The average impact force is 12000 newtons.

Explanation:

By Impact Theorem we know that impact done by the sledge hammer on the chisel is equal to the change in the linear momentum of the former. The mathematical model that represents the situation is now described:

\bar F \cdot \Delta t = m \cdot  (v_{2}-v_{1}) (1)

Where:

\bar F - Average impact force, in newtons.

\Delta t - Duration of the impact, in seconds.

m - Mass of the sledge hammer, in kilograms.

v_{1}, v_{2} - Initial and final velocity, in meters per second.

If we know that \Delta t = 0.0020\,s, m = 4\,kg, v_{1} = -6\,\frac{m}{s} and v_{2} = 0\,\frac{m}{s}, then we estimate the average impact force is:

\bar F = \frac{m\cdot  (v_{2}-v_{1})}{\Delta t}

\bar F = 12000\,N

The average impact force is 12000 newtons.

5 0
3 years ago
Why does the weather change during an eclipse? help me
Otrada [13]

Answer:

here`s your answer

Winds often slow down during an eclipse as the atmosphere temporarily settles. Heating causes the atmosphere to mix and bubble, just like a pot of water on the stove. As it warms, the water level in the pot rises because warm objects, including water, expand. In the case of the atmosphere, it also expands when heated.

Explanation:

5 0
3 years ago
What happen to the frequency of a sound wave as you change the pitch?
steposvetlana [31]

The "pitch" of a sound is the impression your brain forms
that corresponds to the frequency of the sound wave.

When the frequency is high, your brain says "high pitch".

When the frequency is low, your brain says "low pitch".

4 0
3 years ago
A push broom is being pushed down across a rough floor. The broom moves to the right. What is the correct free body diagram of t
zysi [14]
The far right.

Fg is gravity which always acts down and since we assume the floor is flat the normal, Fn, acts opposite gravity, so straight up.

But you’re probably wondering about the pushing force, Fp, and the friction force, Ff. For the Fp, consider where the applied force is coming from. The head of the broom is on the floor and the man’s arms, where he’s applying the force from, is above and to the left, so when the man pushes the broom the force is down and to the right. The broom my not be moving down, but the applied force is still in that direction. And Ff always acts against motion so since the broom moves to the right, the friction is to the left.

5 0
3 years ago
Read 2 more answers
The driver of a car traveling on the highway suddenly slams on the brakes because of a slowdown in traffic ahead. A) If the car’
ladessa [460]

Answer:

Acceleration is -30000 mi/h²

Distance travelled in the 3 seconds of deceleration is 261.888 feet

Explanation:

t = Time taken for the car to slow down = 3 s =

u = Initial velocity = 75 mi/h

v = Final velocity = 50 mi/h

s = Displacement

a = Acceleration

Equation of motion

v=u+at\\\Rightarrow a=\frac{v-u}{t}\\\Rightarrow a=\frac{50-75}{\frac{3}{3600}}\\\Rightarrow a=-30000\ mi/h^2

Acceleration is -30000 mi/h²

v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{50^2-75^2}{2\times -30000}\\\Rightarrow s=0.0496\ mi

Converting to feet

1 mile = 5280 feet

0.0496 mile = 0.0496×5280 = 261.888 feet

Distance travelled in the 3 seconds of deceleration is 261.888 feet

7 0
3 years ago
Other questions:
  • “A 39.2 N object is pushed with 12 N of force but experiences 3 N of frictionWhat is the object's acceleration?”
    9·1 answer
  • If a pickup is placed 16.25 cm from one of the fixed ends of a 65.00-cm-long string, which of the harmonics from n=1 to n=12 wil
    8·1 answer
  • Sully is riding a snowmobile on a flat, snow-covered surface with a constant velocity of 10 meters/second. The total mass of the
    10·2 answers
  • Which of the following statements is correct about the force of gravity between two objects? (a)It depends on the shape of the o
    12·1 answer
  • When a gun is fired at the shooting range, the gun recoils (moves backward). Explain this using the law of conservation of momen
    6·1 answer
  • A convex lens with focal length 9 cm forms an image of an object placed 21 cm to the left of the lens. what is the distance to t
    8·1 answer
  • g One of the harmonics in an open-closed tube has frequency of 500 Hz. The next harmonic has a frequency of 700 Hz. Assume that
    13·1 answer
  • A chemical reaction takes place in which energy is absorbed. Arrange the characteristics of the reaction in order from start to
    9·2 answers
  • A student pushes a 5 kg box initially at rest along a flat, rough table with a rightward force of 10 N. The frictional force act
    12·1 answer
  • How the different types of waves are form and how the waves travel
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!