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3 years ago

14

An airplane flies 1,592 miles east from phoenix, Arizona, to Atlanta, Georgia, in 3.68 hours. What is the average velocity of th

e plane? Round your answer to the nearest whole number

1 answer:

KiRa [710]3 years ago

3 0

Answer:

433 mph

Explanation:

We know that

$Velocity =\frac{Distance}{Time }$ ...Eq(1)

Here,

Distance =1,592 miles

Time=3.68 hours

Putting the value of distance and Time in the Eq(1) We get

Velocity = $\frac{1592\ miles}{3.68\ hours}$

$Velocity = 432.608\ mph\\Velocity = 433 mph$

therefore Average velocity is 433 mph

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A liquid has a density of 0.85 g/cm. If you pour some of the liquid into a glass of water, will the liquid float?

muminat

Answer:

Yes, it will float.

Explanation:

It is given that,

A liquid has a density of 0.85 g/cm³.

We know that, the density of water is 1 g/cm³.

The density of the liquid is less than that of water. If the density of the liquid is less than that of water, it will float in it. Hence, if you pour some of the liquid into a glass of water, it will float.

4 0

3 years ago

A firecracker in a coconut blows the coconut into three pieces. Two pieces of equal mass fly off south and west, perpendicular t

Lisa [10]

Explanation:

Let us assume that piece 1 is $m_{1}$ is facing west side. And, piece 2 is $m_{2}$ facing south side.

Let $m_{1} \text{and} m_{2}$ = m and $m_{3}$ = 2m. Hence,

$2mv_{3y} = m(21)$

$v_{3y} = \frac{21}{2}$

= 10.5 m/s

$2mv_{3x} = m(21)$

$v_{3x} = \frac{21}{2}$

= 10.5 m/s

$v_{3} = \sqrt{v^{2}_{3x} + v^{2}_{3y}}$

= $\sqrt{(10.5)^{2} + (10.5)^{2}}$

= 14.84 m/s

or, = 15 m/s

Hence, the speed of the third piece is 15 m/s.

Now, we will find the angle as follows.

$\theta = tan^{-1} (\frac{v_{3y}}{v_{3x}})$

= $tan^{-1}(\frac{10.5}{10.5})$

= $tan^{-1} (45^{o})$

= $45^{o}$

Therefore, the direction of the third piece (degrees north of east) is north of east.

5 0

4 years ago

A 600-kg car traveling at 30.0 m/s is going around a curve having a radius of 120 m that is banked at an angle of 25.0°. The coe

ikadub [295]

Answer:

$f_{fr}=1590.85 N$

Explanation:

Here the total force at the horizontal components will be equal to the centripetal force on the car. So we will have:

$f_{fr}cos(25)+Nsin(25)=m\frac{v^{2}}{r}$ (1)

f(fr) is the friction force
N is the normal force

Now, the sum of forces at the vertical direction is equal to 0.

$Ncos(25)-mg-f_{fr}sin(25)=0$ (2)

Let's combine (1) and (2) to find f(fr)

$f_{fr}=\frac{(mv^{2}/r)-mgtan(25)}{cos(25)+tan(25)sin(25)}$

$f_{fr}=\frac{(600*30^{2}/120)-600*9.81*tan(25)}{cos(25)+tan(25)sin(25)}$

$f_{fr}=1590.85 N$

I hope it helps you!

5 0

3 years ago

A soccer player kicks a ball from the ground with a speed of 16 m/s at an angle of 63°.

stepladder [879]

A. Horizontal component: 7.3 m/s

Explanation:

The horizontal component of the velocity is given by:

$v_x = v_0 cos \theta$

where

$v_0 = 16 m/s$ is the magnitude of the initial velocity

$\theta=63^{\circ}$ is the angle of the initial velocity with respect to the ground

Substituting numbers into the equation, we find

$v_x = (16 m/s) cos 63^{\circ}=7.3 m/s$

B. Vertical component: 14.3 m/s

Explanation:

The vertical component of the velocity is given by:

$v_y = v_0 sin \theta$

where

$v_0 = 16 m/s$ is the magnitude of the initial velocity

$\theta=63^{\circ}$ is the angle of the initial velocity with respect to the ground

Substituting numbers into the equation, we find

$v_y = (16 m/s) sin 63^{\circ}=14.3 m/s$

6 0

3 years ago

If a system absorbs 155.0 kJ of heat from its surroundings and the system does 45.0 kJ of work on its surroundings, what is the

Ede4ka [16]

The change in the internal energy of the system is 110 kJ.

<h3>What is internal energy?</h3>

Internal energy is defined as the energy associated with the random, disorder motions of molecules.

calculate the change in internal energy, we apply the formula below.

Formula:

ΔU = Q-W.................... Equation 1

Where:

ΔU = Change in internal energy
Q = Heat absorbed from the surroundings
W = work done by the system

From the question,

Given:

Q = 115 kJ

W = 45. 0 kJ

Substitute these values into equation 1

ΔU = 155-45

ΔU = 110 kJ

Hence, The change in the internal energy of the system is 110 kJ.

Learn more about change in internal energy here: brainly.com/question/4654659

4 0

3 years ago