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Wittaler
1 month ago
14

A plane has an average air speed (this is the speed the plane moves through air) of 750 mph. The plane flies a route of 5000 mil

es from Los Angeles to London. The average speed of the wind along this route is 30 mph blowing east from Los Angeles towards London. How much longer does it take the plane to fly from London to Los Angeles than the reverse direction?
Physics
1 answer:
Ostrovityanka [3.2K]1 month ago
6 0
6 horas 15 minutos
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A 55-kg pilot flies a jet trainer in a half vertical loop of 1200-m radius so that the speed of the trainer decreases at a const
Keith_Richards [3271]

a) -1.54 m/s^2

b) 803.4 N

Explanation:

a) At point C (top of the loop), the pilot experiences weightlessness, leading to the normal force from the seat being zero:

N = 0

Consequently, the force balance equation at position C becomes:

mg=m\frac{v^2}{r}where the left term signifies the pilot's weight and the right term represents the centripetal force, with:

= acceleration due to gravity

= jet's velocity at the top g=9.8 m/s^2

= loop radius

vBy solving for v,

r=1200 m

Thus, this is the jet's speed at C.

The speed at position A (bottom) can be derived fromv_C=\sqrt{gr}=\sqrt{(9.8)(1200)}=108.4 m/s

The distance traveled by the jet corresponds to half the circumference of the circle with radius r, therefore

v_A=550 km/h =152.8 m/s

Given the plane's deceleration is consistent, we can obtain it using the following equation:

s=\pi r=\pi(1200)=3770 m

b) The pilot experiences a force equal to the normal force from the seat. At point B (half-way through the loop), we find:

v_C^2-v_A^2=2as\\a=\frac{v_C^2-v_A^2}{2s}=\frac{108.4^2-152.8^2}{2(3770)}=-1.54 m/s^2- The normal force from the seat, N, directed towards the center of the loop

- As there are no further forces acting toward the central axis, N must equal the centripetal force:

(1)

where

represents the speed at position B.

To deduce the velocity at B, we note that the distance covered by the jet between positions A and B is a quarter of a circle:

With knowledge of the deceleration, we can implement the equation of motion to find the velocity at the midway point B:N=m\frac{v_B^2}{r}

v_B

Thus, we then apply eq.(1) to determine the normal force acting on the pilot at B:

s=\frac{\pi r}{2}=\frac{\pi(1200)}{2}=1885 m

6 0
2 months ago
The PVT behavior of a certain gas is described by the equation of state: P(V − b) = RT where b is a constant. If in addition CV
Softa [3030]
For thorough details and necessary calculations, please refer to the attachment.
6 0
1 month ago
A block of mass m, initially held at rest on a frictionless ramp a vertical distance H above the floor, slides down the ramp and
kicyunya [3294]

Answer:

\displaystyle W=-m.g.H

Explanation:

Transformation of Energy

Also known as energy conversion, this refers to the process in which energy shifts from one type to another. In this context, three energy forms are involved. When the object is stationary at the ramp's peak, it possesses gravitational potential energy, calculated as

U=m.g.H

As the object descends the frictionless ramp, it converts all its potential energy into kinetic energy, represented as

\displaystyle K=\frac{m.v^2}{2}

Thus,

K=m.g.H

Ultimately, when the object encounters a rough surface, all energy converts to thermal energy. The work performed by the friction force corresponds to the alteration in kinetic energy, as all velocity is lost in this process:

\displaystyle W=\Delta E=K_f-K=0-K=-\frac{m.v^2}{2}

Given the kinetic energy equals the initial potential energy:

\boxed{\displaystyle W=-m.g.H}

The negative sign indicates that the work acted against the direction of movement, meaning the force and displacement are 180° apart.

This outcome is independent of the distance D needed to halt the block or the kinetic friction coefficient.

7 0
3 months ago
In general, how do you find the average velocity of any object falling in a vacuum?
Softa [3030]
To determine the average velocity of an object descending in a vacuum, assuming you know its final speed, multiply the final result by the overall time. 3. The equation d = v • t expresses how distance, average velocity, and time relate to each other.
5 0
2 months ago
Resistance of rod is 1 ohm. It is bent in the form of square. The resistance across adjoint corners is.​
Keith_Richards [3271]

Answer: The result to the query is 0.25 ohms

Explanation:

R = u x/A.......1

where u represents the resistivity of the

rod, A is the cross-sectional area, and x denotes

the length of the rod.

Let R* represent the resistance across the adjacent sections of the rod.

Then, R* = u1/4.......2

By comparing equation 1 with equation 2, we find that

R* = 1/4

which equals 0.25 ohms.

3 0
2 months ago
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