dan left the white house and drove toward the recycling plant at an average speed of 40 km/h. rob left some time later driving in the same direction at an average speed of 48 km/h. after driving for five hours rob caught up with dan. how long did dan drive before rob caught up?

If Johnny is driving North at 42 miles per hour and drives west at 37 miles per hour, then the resultant velocity would be 55.9 mph north, therefore the correct answer is option A.

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

As given in the problem Johnny is driving North at 42 mph. Then drives west at 37 mph.

The resultant velocity of the Jhonny = √ ( 42² + 37² )

                                                            = 55.97 miles per hour

Thus, the resultant velocity of Jhonny would be 55.9 mph north, therefore the correct answer is option A.

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Mechanical energy of the coaster is 100 joules.

We need to know about mechanical energy to solve this problem. Mechanical energy is the sum of the potential energy and kinetic energy of an object. It can be written as

E = KE + PE

where E is mechanical energy, PE is potential energy and KE is kinetic energy.

From the question above, the given parameters are

KE = 50 J

PE = 50 J

By substituting the given parameters, we can calculate mechanical energy

E = KE + PE

E = 50 + 50

E = 100 J

The total energy is 100 joules

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To find

Pick the answer correctly that fits the sentence.

Explanation

In a doppler effect, when a sound source apporaches a observer, its frequency increases. As wavelength is inversely proportional so the wavelength decreases. Speed of sound ina given medium is constant, so the speed of sound doesnot change

Thus,

as a sound wave approaches an observer the frequency will increase, the wavelength will decrease, and the speed of sound will stay the same.

Conclusion

The correct option is C) increase; decrease; stay the same.

If we cut the magnet into smaller pieces as we can see in the image attached to the question then each of the ends of the smaller magnets would form a north and south pole respectively.

The term magnet can be used to describe the material that is able to pick up any magnetizable material. We have to note that a magnet is able to create a magnetic field around it. The magnetic field is the vicinity where the impact of the magnet can be felt.

We know that a magnet has two poles, the north pole and the south pole. These are the points where the influence of the magnetic field is greatest In this discussion, we must keep it at the back of our minds that the influence of the magnetic force is stronger at the ends of the magnet than it is at the center of the magnet as it were.

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ANSWER:

STEP-BY-STEP EXPLANATION:

Answer:

It is impossible to answer that as we could discover more than we know now in years to come with advanced technologies

Explanation:

Given a constant speed, the centripetal acceleration of an item travelling in a circle is inversely proportional to the radius of the curve (a=v2/r).

As a result, the acceleration is smaller for a gradual curve with a large radius and greater for a sharp curve with a short radius.

The speed at which a body rotates around a circle is known as centripetal acceleration. When a body moves in a circle, its d is equal to its velocity since velocity is a vector quantity (i.e., it has both a magnitude, the speed, and a direction)  direction is continually changing, which causes a change in velocity, which results in an acceleration.

The acceleration is brought about by a force that is focused at the, It is referred to as a centripetal force.

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Magnitude offers products that automate and provide insights throughout the whole supply chain. Determine and emphasize any bottlenecks, potential delays, and urgent.

Magnitude offers products that automate and provide insights throughout the whole supply chain. Determine and emphasize any bottlenecks, potential delays, and urgent.

The size of the undertaking would have discouraged a regular man due to its importance.

Magnitude is a way to gauge a star's brightness.

inclination of tree from horizontal =30°

mass of first child m[tex]1[/tex]=50kg

distance of first child r[tex]1[/tex]=1.4

mass of first child  m[tex]2[/tex]=33kg

distance of first child r[tex]2[/tex]=2.10

Torque exerted by first child

T[tex]1[/tex]=m[tex]1[/tex] cos 0*r1

T1=50*9.8 cos27*2*1.4

=489.7513N-M

Torque exerted by second child

T2=m2 cos0*r2

T2=33 *9.8cos27*2

=292.7374

Both torques are in same sense therefore

T[tex]net[/tex]=T1+T2

T[tex]net[/tex]=489.75+292.73

T[tex]net[/tex]=782.48N-m

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The object having mass 4kg will have greater potential energy as it has larger mass.

What is potential energy  ?

Potential energy is a form of stored energy that is dependent on the relationship between different system components. A spring's potential energy rises when it is compressed or stretched. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy. It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has more potential energy as they become further apart.

U=m g h

The object having mass 4kg will have greater potential energy as it has larger mass.

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Rayleigh scattering makes the sky appear blue in the day and red during sunset.

A clear, cloudless daytime sky is blue because molecules in the air scatter blue light from the sun more than red light. Sun at sunset, appears red or orange because blue light is scattered from your line of sight.

The white light of the sun is a mixture of all the colors of the rainbow. This was demonstrated by Isaac Newton by using a prism to separate different colors to form a spectrum. Colors of light are distinguished by different wavelengths.

The visible portion of the spectrum ranges from red light with a wavelength of about 720 nm to violet with a wavelength of about 380 nm, with orange, yellow, green, blue, and indigo in between. Her three types of color receptors in the retina of the human eye are most responsive to red, green and blue wavelengths, giving us color vision.

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The time that is taken for the rock to land on the ground from the given height is 1.8 seconds.

We know that we can be able to obtain the time that have been taken from the equations of kinematics. In this case, we have to consider the equations of kinematics which have occurred under gravity.

Let us recall that we have the fact the equation that ought to be used here is;

h = ut + 1/2gt^2

u = initial velocity

h = the height attained

t = time taken

g = acceleration due to gravity

We know that in this case, we have to use the equations of the kinematics that we can apply to the rock that is moving under the influence of gravity as to obtain the tome that it would take the rock to be able to land on the ground from the height that we have been given in the question.

Having listed out these parameters;

38.4 = -12.5t + (0.5 * 9.8 * t^2)

38.4 = -12.5t + 4.9t^2

Hence;

4.9t^2 - 12.5t + 38.4 = 0

t =  1.80  s

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The correct answer choice from above among loudness and softness of music in a wave system is connected by means of amplitude of the vibration that produces the sound.

The correct answer choice is option d.

In general, the amplitude of a wave of a music is related to how soft or loud a music is as this depends largely on that force of vibration in the the musical system. For instance, when you hit the the wooden or iron door of a building, a soft sound is produced. This happens simply because amplitude.

Be that as it may, a wave is referred to as a disturbance which travels through a particular medium, transferring energy from one point to another point.

So therefore, the amplitude of a wave goes a long way to determine the loudness and softness of music.

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The new gravitational force when the distance between them is tripled is 4 N.

The gravitation force between the objects is calculated by applying Newton's law of universal gravitation.

F = Gm₁m₂/R²

where;

From the equation above;

F₁R₁² = F₂R₂²

F₂ = F₁R₁²/R₂²

When the distance is tripled,

R₂ = 3R₁

F₂ = F₁R₁²/(3R₁)²

F₂ = F₁R₁²/9R₁²

F₂ = F₁/9

F₂ = 36 N/9

F₂ = 4 N

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The gravitational force between two object is 36 N then the new gravitational force will be 4 N. Hence, option A is correct.

Gravity, also referred to as gravitation, is the unchanging force of attraction that binds everything together in mechanics. Being the weakest known force in nature, it has little effect on determining the intrinsic properties of common objects.

F = Gm₁m₂/ R²

From the equation above;

F₁ × R₁² = F₂ × R₂²

F₂ = F₁R₁²/R₂²

According to the question, when the distance is tripled,

R₂ = 3R₁

F₂ = F₁ R₁²/(3R₁)²

F₂ = F₁ R₁²/ 9R₁²

F₂ = F₁ / 9

F₂ = 36 N/9

F₂ = 4 N

Hence, the new gravitational force will be 4 N.

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Answer:

p(momentum) = mass(kg) x velocity (m/s)

In mechanics, acceleration refers to the rate at which an object's velocity with respect to time varies.  The acceleration is  8.

Therefore,

Acceleration = 40/5 = 8

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The speed of the plane is 32.519 m/s

Given radius of satellite orbit is [tex]r_{1} = 8.75[/tex] × [tex]10^{6} m[/tex]

Also, Orbital velocity is given by

[tex]v = \sqrt{\frac{GM}{r} }[/tex]

where M is the mass of the earth which is equal to [tex]5.98[/tex] × [tex]10^{24}[/tex] kg

G = [tex]6.67[/tex] × [tex]10^{-11}[/tex]

[tex]v = \sqrt{\frac{(6.67 * 10^{-11} )(5.98*10^{24}) }{8.75 * 10^{6} } }[/tex]

[tex]v=21.35[/tex] × [tex]10^{3}[/tex] m/s

Centripetal acceleration is given as

[tex]a_{c} = \frac{v^{2} }{r}[/tex]

[tex]a_{c} = \frac{(21.35 * 10^{3} )^{2} }{8.75 * 10^{6} }[/tex]

[tex]a_{c} = 52.094 m/s^{2}[/tex]

For model airplane

[tex]a_{c} = \frac{v^{2} }{r}[/tex]

[tex]52.094 = \frac{v^{2} }{20.3}[/tex]

v = 32.519 m/s

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Answer:

Explanation:

Mechanical energy

Answer:

The right answer is "sound" or "sound waves"

Explanation:

Electric drills are noisy, but this is not useful, so sound is a wasted energy transfer.

The speed at which a wave of frequency of 14 Hz and a wavelength of 3 m will travel is  42 m / s

v = λ / T

f = 1 / T

v = f λ

v = Wave speed

λ = Wavelength

T = Time period

f = Frequency

f = 14 Hz

λ = 3 m

v = 14 * 3

v = 42 m / s

Frequency is the number of time an event occurs repeatedly in an unit amount of time. Its unit is hertz which in terms of SI unit is [tex]s^{-1}[/tex].

Therefore, the speed at which the wave will travel is 42 m / s

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Once a beam of light enters a black hole, it can never exit.

Moreover, A black hole is a region where space-time is so curved that every possible path that light could take eventually curves back inside the black hole. As a result, once a beam of light enters a black hole, it can never exit. Because of this, a black hole is truly black and never emits light. It appears as a dark circle silhouetted by an orbiting disk of hot, glowing matter. The supermassive black hole is located at the heart of a galaxy called M87, located about 55 million light-years away, and weighs more than 6 billion solar masses.

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Aluminum has the following electron configuration: 1s2, 2s2, 2p6, 3s2, and 3p1.

According to the information supplied, aluminum has an atomic number of 13. That makes it abundantly evident that the nucleus of any atom that is an isotope of aluminum will contain 13 protons. The proton number will be equal to the number of electrons surrounding the nucleus. There will be 13 electrons as a result.

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The magnitude of the resultant velocity of a pair of 100 km/h velocity vectors that are at right angles to each other is 141.42 km/h.

When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.

Given that in the question velocity of a pair of 100 km/h velocity vectors that are at right angles to each other,

Resultant velocity,

v = [tex]\sqrt{v^{2} +v^{2} }[/tex]

 = [tex]100\sqrt{2}[/tex]

 = 141.42 km/h

The resultant velocity of a pair of 100 km/h velocity vectors that are at right angles to each other is  141.42 km/h.

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a) The normal force on the block of mass M is 76.383 N in magnitude.

b) The hanging block goes upward in one direction.

c) The block's acceleration has a common magnitude of 8.11 m/s2.

d) The string's tension measurement is 161.19 N in magnitude.

e) After 2.0 seconds, the speed of the hanging mass is 5.695 seconds.

Simply put, "distance or quantity" is the definition of size. In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope. Magnitude in physics typically refers to size or quantity.

It's given that:

M = 45.2 kg.

µk = 0.10.

m = 9.0 kg.

angle = 30 degree

A) The block's mass M and the normal force's strength N:

N - mgcosθ = 0

= 9 * 9.8cos 30

= 76.383N

B) The hanging block's direction shifts upward.

C) the typical magnitude of the acceleration of the block is

Mg - T = Ma

(Mg - T) / M = a

(45.2 * 9.8 - 76.383) / 45.2 = a

[tex]8.11\frac{m}{s^{2} } = a[/tex]

D) the string's tension, T, in terms of magnitude

T - mg = ma

T = ma + mg

T = 9 * 8.11 + 9 * 9.81

T = 161.19N

E) the dangling mass's speed after a delay of 2.0 seconds

v² - u² = 2as

v² - 0² = 2as

v² = 2as

v = √2as

v = √2*8.11*2

v = 5.695 m/s

COMPLETE QUESTION: Two blocks are connected by a light but sturdy string wrapped around a mass-less pulley. The rough inclined surface makes an angle of 30 degrees with the horizontal. The block on the inclined surface has a mass M = 45.2 kg. Assume the coefficient of kinetic friction between the union of mass M and the inclined plane is µk = 0.10. The vertically hanging block has mass m = 9.0 kg. Assume the blocks begin their motion from rest.

(a) (10 points) What is the magnitude N of the normal force on the block of mass M?

(b) (5 points) In What direction does the hanging block m move, up or down? Circle one.

(c) (18 points) What is the common magnitude of the acceleration of the blocks?

(d) (14 points) What is the magnitude T of the tension in the string?

(e) (6 points) What is the speed of the hanging mass after a time period of 2.0 seconds?

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His shadow is shortening at a rate of dy/dt = 0.6m/s at the time.

The triangle's three angles add up to a total of 180 degrees

The individual is standing at point D and has his head at point E at the time indicated in the problem.

At that moment, his shadow is visible on the wall at y = BC.

The two right triangles ABC and ADE both contain similar triangles. The ratios on their respective sides in the similar triangles are equal:

AD/AB = DE/BC

8/12 = 2/y

y = 3

If we suppose that the man is x distance from the building, then the distance from the spotlight to the man is 12 x.

12-x/12 = 2/y

1-1/12x = 2 1/y

Let's take derivatives of both sides:

-1/12dx = -2 .1/y²dy

Divide both sides by dt as follows.

-1/12.dx/dt = 2/y²dy/dt

At the time specified:

dx/dy = 1.6m/s

y = 3

Let's connect them

- 1/2 (1.6) = -2.9 dy/dt

dy/dt = 1.6/12×9/2 = 0.6m/s.

At the time in question, this is the pace at which his shadow's length is shortening.

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The complete question is:

"A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?"

The spring's maximum compression is 0.346 when mass of the block is 0.230 Kg and Speed is 1.40 m/s.

given,

mass of block = 0.230 Kg

speed = 1.40 m/s

spring constant = k = 3.75 N/m

using conservation of energy

a) K.E  =  P.E

1/2mv^2=1/2kx^2

1/2*0.23*1.40^2=1/2*3.75*x^2

X^2=0.120

X=0.346

b) The maximum compression will be equal to the compression in part an if the track is not friction-less.

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The one component of the material of the milky way galaxy that prevents us from seeing and photographing the galactic center at optical wavelengths is interstellar dust.

The Milky Way is a vast collection of stars dust and gas. It is called a spiral galaxy because it looks like a spinning windmill when viewed from above or below. The Sun is in one of the spiral arms about 25,000 light-years away from the center of the galaxy. Astronomers have released the first images of a supermassive black hole at the center of our Milky Way.

The results provide overwhelming evidence that this object is indeed a black hole and provide valuable clues about the workings of the giant galaxies thought to reside at the center of most galaxies. This extreme environment exposes you to intense UV and X-rays. But much of this activity is obscured from view by a huge plume of interstellar dust. The center of our Milky Way is hidden from the prying eyes of optical telescopes by clouds of dust and gas.

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ANSWER

B) 8.00 J

EXPLANATION

Given:

• The force applied to move the block, F = 4.00N

• The distance the block is moved, d = 2.00 m

Unknown:

• The work done on the block, W

If there is no friction between the block and the table, the only force acting upon the block in the direction of movement is the applied force F. Since the force is applied in the direction of movement, then the angle between the force and the displacement is 0, so the work done on the block is,

Hence, the work done on the block is 8.00 J.

The force needed to be applied by each person is 5.150×10^3 N.

The required acceleration is 3.4 m/s2 and the mass of the car is 2,159 kg.

According to Newton's second law:

F = ma

F =  2,159 × 3.4.

F = 7340.6 N

Adding the force of friction into it

F = 7340 + 310

F = 7650.6 N

Since two people need to apply the force

F = 7650 N / 2

F = 3,825.3 N

or

F = 3.825×10^3 N

The force applied by each person to push the car is 3.825×10^3 N.

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The speed of the block when  it has moved a distance of 0.0150 m from it's initial position is  0.32 m/s .

When a spring is compressed by a force F, the potential energy is stored on it.

If the spring is released, the potential energy turns into kinetic energy.

The object is replaced by the call-back force which occurs on the spring F' = K.∆x

K= 815 N/m

∆x= 0.0190 m

F' = 815.0.019 = 15.8 N

Ff= k.m.g

Ff = 0.35 . 2.55. 9.81 = 8.76 N friction force acceleration of object is-

a= F' - Ff/m

V^2 = 2.a . displacement

V^2 = 2.264. 0.0200.

V^2 = 0.1056

V=√0.1056.

V= 0.32 m/s

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The graph does not correctly represent the story because the elevator descends to the basement at a faster speed than before.

An elevator going up shows uniform linear motion, as elevator will move in a straight line with a constant speed.

This type of motion can be shown using a straight line graph.

The downward motion of an elevator descending or moving downwards can be explained as follows;

An elevator moving downwards shows uniform linear motion, as elevator will move in a straight line with a constant speed.

From the given graph we can conclude the following;

Thus, from the greater steepness of the downward motion of the elevator than the upward motion, we can conclude that the elevator descends to the basement at a faster speed than before.

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D=44.13, Horizontal velocity is unimportant. The time it takes the cannon ball to fall to the ground is the key to determining the height of the cliff. where  that cannon is present.

The speed of any projectile travelling along a Horizontal velocity is known as the horizontal velocity. When a particle or object is launched into the air at an angle other than 90 degrees, it moves along the trajectory path and changes the shape of the curve to a parabolic one.

the speed at which velocity changes over time. Due to its magnitude and direction, acceleration is a vector quantity. The first derivative of velocity with respect to time or the second derivative of position with respect to time are further examples. This is called acceleration.

Distance to the ground is d = 1/2gt^2,

where g is the acceleration rate of gravity (9.80665 m/s^2)

and t = 3 secs.

d = .5×9.80665×9 = 44.13 m.

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Answer: D=44.13, Vertical velocity is not significant. The height of the cliff can be calculated using the time it takes the cannonball to hit the earth. where there is that gun.

Explanation: The horizontal velocity is the rate at which any projectile is moving along a plane. A particle or object that is propelled into the air at an angle other than 90 degrees goes along the trajectory line and transforms the curve's shape into a parabolic one.

the rate of change of velocity over time. Acceleration is a vector number because of its size and directional characteristics. Additional examples are the second derivative of location with respect to time or the first derivative of velocity with respect to time. Here is

Distance to the ground is d = 1/2gt^2,

where g is the acceleration rate of gravity (9.80665 m/s^2)

and t = 3 secs.

d = .5×9.80665×9 = 44.13 m

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