The distance an object falls​ (when released from​ rest, under the influence of​ Earth's gravity, and with no air​ resistance) is given by ​d(t)16t​, where d is measured in feet and t is measured in seconds. A rock climber sits on a ledge on a vertical wall and carefully observes the time it takes for a small stone to fall from the ledge to the ground. A. Compute. What units are associated with the​ derivative, and what does it​ measure? b. If it takes s for a stone to fall to the​ ground, how high is the​ ledge? How fast is the stone moving when it strikes the ground​ (in miles per​ hour)?

The baseball's change in momentum is equal to the impulse applied to it. An object's momentum is determined by multiplying its mass by its velocity. The baseball received an impulse with a magnitude of -5.39 kg*m/s.

The baseball's change in momentum is equal to the impulse applied to it. An object's momentum is determined by multiplying its mass by its velocity.

The baseball's initial momentum is equal to 0.11 kg times 20 m/s, or 2.2 kg/s.

The baseball's ultimate velocity is calculated as (0.11 kilogramme) * (-29 m/s) = -3.19 kgm/s.

The difference between the baseball's final and starting velocities, or its change in momentum, is equal to 5.39 kg*m/s (final momentum - beginning velocities = -3.19 kgm/s - 2.2 kgm/s).

As a result, the baseball received an impulse with a magnitude of -5.39 kg*m/s.

Due to the ultimate velocity being in the opposite direction of the original vector, the impulse is negative.

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The force exerted on the person's feet when he lands if he stops in 0. 25 seconds is found to be 480 N.  

Force may be characterized as a type of circumstance that significantly deals with the pushing or pulling of an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects.

According to the context of this question,

The mass of a person, m = 60 Kg.

The velocity of a person, v = 2.0 meters/sec.

The time is taken, t = 025 seconds.

The formula for calculating force is as follows:

          = 60 × 2 ÷ 0.25 = 480 N.

Therefore, the force exerted on the person's feet when he lands if he stops in 0. 25 seconds is found to be 480 N.

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Thermal conductivity may be measured with simple equipment.A slab of the material to be tested is clamped between an ice block and a steam chamber that both maintain constant temperatures of 0 °C and 100 °C.

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With the use of formula, the time taken for the ball to reach you is 31.6 s

Acceleration can be defined as velocity change per time taken. It is a vector quantity.

Given that your friend, who is in a field 70 meters away from you, kicks a ball towards you with an initial velocity of 18 m/s. assuming the grass causes the ball to decelerate at a constant rate of 1.0 m/s2, to know how long it takes for the ball to reach you, we will use the formula

s = ut - 1/2at² where

v = 0

u = 18 m/s

a = 1 m/s²

s = 70 m

t = ?

70 = 18t - 1/2 × 1 × t²

70 = 18t - 0.5t²

Multiply all by 2

140 = 36t - t²

t² - 36t + 140 = 0

Using completing the square method

t² - 36t + 18² = 18² - 140

( t - 18 )² = 324 - 140

( t - 18 )² = 184

t - 18 = √184

t = 18 + 13.6 or 18 - 13.6

t = 31.6 s or 3.4 s

Therefore, the ball will reach you in the next 31.6 s

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The cable will be under 12.0 KN of tension when that person drops a coin. Then the acceleration of the coin relative to the cab is 0.00828 m/s^2.

To find the acceleration of the coin relative to the cab, we can use the equation for tension force:

Tension force = mass x acceleration

We are given the tension force (12.0 kN) and the combined mass of the cab and its occupant (1450 kg). Therefore, we can solve for acceleration:

12.0 kN = (1450 kg) x acceleration

acceleration = 12.0 kN / (1450 kg)

acceleration = 0.00828 m/s^2

So the acceleration of the coin relative to the cab is 0.00828 m/s^2

It is worth noting that the coin will fall with respect to the elevator with an acceleration of 9.8 m/s^2 (upwards) but relative to the elevator, the coin is accelerating downwards with 9.8 m/s^2 + 0.00828 m/s^2 = 9.80828 m/s^2.

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The magnitude of the average electric field in between the two points is 480V/m

Electric field is an important concept in physics that describes the force exerted by a charged particle or object on other particles or objects in its vicinity. It is a vector field, meaning it has both magnitude and direction. The electric field is created when an electric charge is placed in a region of space. The electric field will then act on any other charges in the region, producing a force on them.

Electric field (E) is defined as the electric potential difference (V) divided by the distance (d) between two points:
E = V / d
In this case, the electric potential difference is 120V and the distance between the two points is 0.25m. Therefore, the magnitude of the average electric field in between the two points is:
E = 120V / 0.25m = 480V/m

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The spacecraft's acceleration can be found using the equation: a = (v-u)/t = 4.50 x 10^2 m / 4.0 s = 11.25 m/s^2.

Uniformly accelerating motion refers to an object that is moving at a constant rate of acceleration. This means that the velocity of the object is changing at a constant rate, but the acceleration remains the same throughout the motion. An example of this type of motion is an object that is accelerating from rest at a constant rate. The motion of the object can be described mathematically by the equations of motion, such as distance = initial velocity * time + 1/2 * acceleration * time^2. The graph of uniformly accelerating motion is a parabola, with velocity on the y-axis and time on the x-axis. This type of motion is different from non-uniform acceleration, where the acceleration changes during the motion.

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A spacecraft that is uniformly accelerating straight upward from rest reaches an altitude of 4. 50 X 102 m [up) with acceleration of 11.25 m/s².

The spacecraft's acceleration can be found using the equation:

                      a = (v-u)/t

             = 4.50 x 10² m / 4.0 s

                  = 11.25 m/s².

Uniformly accelerating motion refers to an object that is moving at a constant rate of acceleration. This means that the velocity of the object is changing at a constant rate, but the acceleration remains the same throughout the motion. An example of this type of motion is an object that is accelerating from rest at a constant rate.

The motion of the object can be described mathematically by the equations of motion, such as distance = initial velocity × time + 1/2 * acceleration × time². The graph of uniformly accelerating motion is a parabola, with velocity on the y-axis and time on the x-axis. This type of motion is different from non-uniform acceleration, where the acceleration changes during the motion.

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The force in newtons that is exerted on a car during the given time is 3,223.68N.

Force refers to a physical quantity that denotes ability to push, pull, twist or accelerate a body.

The force exerted on an object can be calculated by multiplying the mass of the body by the acceleration as follows:

Force = mass × acceleration

Force = mass × speed/time

According to this question, a small car (1400 kg) moving 35 m/s gradually comes to a complete stop when the brakes are applied. It comes to a complete stop over a period of 15.2 seconds.

Force = 1400 × 35/15.2

Force = 3,223.68N

Therefore, 3,223.68N is the force acting on the small car.

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Taking into account the Newton's second law, the force needed to push the box to accelerate it 5 m/s² is 228.1 N.

Acceleration in a body occurs when a force acts on a body. There are two factors that influence the acceleration of an object: the net force acting on it and the mass of the body.

Newton's second law defines the relationship between force and acceleration. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law states that force is the multiplication of mass and acceleration:

F= m×a

where:

In this case, you know:

Replacing in the definition of Newton's second law:

F= 45.62 kg× 5 m/s²

Solving:

F= 228.1 N

Finally, the force needed is 228.1 N.

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The minimum distance at which an automatic braking system needs to activate to avoid hitting a stationary object is 2.5 meter. The correct answer is a.

To calculate this, we can use the equation:

distance = initial velocity² / (2 × deceleration).

In this case, the initial velocity is 10 m/s and the deceleration is 2 m/s². Plugging these values into the equation gives us:

distance = 10² / (2 × 2)

distance = 25 meter

Since the car's speed is slowing down at a rate of 2m/s², the car will need 25 meter distance to come to a complete stop. However, the question asked for the minimum distance at which the automatic braking system needs to activate, therefore the minimum distance at which the automatic braking system needs to activate is 10% of the stopping distance which is:

10/100 × 25 = 2.5 meter

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The energy E must be supplied to the device is 1.8x10^3kJ when an ice-making machine inside a refrigerator operates in a Carnot cycle.

Given the temperature initially (Tl) = 0degrees Celsius = 273K

The final temperature (Tc) = 19.2degrees Celsius = 273 + 19.2 = 292.2K

Mass of liquid water (m) = 76.3kg

The water is converted to ice at 0 degrees Celsius

The heat of fusion for water to be Lf = 3.34*10^5 J/kg.

Let heat released from ice = Qc

Heat absorbed by water = Ql

We know that Ql = mLf = 76.3 x 3.34*10^5 = 2.54*10^4kJ

Then Qc/Ql = -Tc/Tl

Qc = - 254.842*10^5 (292.2/273)

Qc = -2.72x10^4kJ

The heat being lost to the hot reservoir is the cause of the negative sign.

We know that Ql = Qc + W where W is the work done

W = Qc - Ql = 2.54*10^4kJ - 2.72x10^4kJ

W = 1.8x10^3kJ

Hence the energy E that must be supplied to the device is 1.8x10^3kJ

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Two people push on a shopping cart from opposite sides. Situation will the motion of the shopping cart stay the same, the correct option is (D) The two people push with a balanced face.

In this situation, the net force on the shopping cart will be zero, since the two forces are equal in magnitude and opposite in direction. If the forces are balanced, the shopping cart will not accelerate and will stay in the same state of motion (at rest or moving at a constant velocity). In scenario A and C, the forces are not balanced and therefore will cause acceleration. In scenario B, the net force will be non-zero and the acceleration will cause the shopping cart to change its velocity and direction.

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Answer:

One possible reason is that change in velocity is greater for the individual with lower mass.

Explanation:

By Newton's Law of Mechanics, magnitude of the force on two players would be the same in the collision. Let [tex]F[/tex] denote this magnitude.

Assume that the duration of the collision is [tex]\Delta t[/tex]. In this collision, magnitude of the impulse [tex]J[/tex] on each player would be the same: [tex]J = F\, \Delta t[/tex].

At the same time, impulse is equal to the change in momentum. Specifically, if the mass of one player is [tex]m[/tex] and the change in their velocity is [tex]\Delta v[/tex], the change in their momentum would be [tex]m\, \Delta v[/tex]. Thus:

[tex]m\, \Delta v = J = F\, \Delta t[/tex].

Rearrange to obtain an expression for the change in velocity:

[tex]\begin{aligned}\Delta v &= \frac{J}{m} = \frac{F\, \Delta t}{m}\end{aligned}[/tex].

In other words, in this collision, change in velocity is inversely proportional to the mass of the participant. Hence, even though the two players experienced force of the same magnitude, the participant with a lower mass would experience a greater change in velocity.

The frequency of the light is 5.77 × 10¹⁸ Hz, if the wavelength of the x-rays is 0.052 nm.

Wavelength of the x-ray, λ = 0.052 nm = 5.2 × 10⁻¹¹ m.

Speed of x-rays, v = 3 × 10⁸ m/s

Let the frequency of the x-ray, = n

We know the relationship between speed of the wave, wavelength and the frequency of the wave is as follows:

speed = wavelength × frequency

3 × 10⁸ = 5.2 × 10⁻¹¹ × n

n = (3 × 10⁸)/(5.2 × 10⁻¹¹)

n = 5.77 × 10¹⁸ Hz

Alternate unit of frequency is 1/sec.

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The pendulum's period is shorter, but the mass on the spring's is unchanged. A planet with twice the mass of Earth and the same size will accelerate through space twice as fast.

Given that the time period of a simple pendulum is = T

T = 2π√l/g where l is the pendulum length and g is the gravitational acceleration of the planet.

The time period of a mass-spring system is written as: T = 2π√m/k where m is the mass of system and k is spring constant.

The gravitational acceleration is defined as: g = GM/r^2

AS the acceleration due to gravity on planet X is greater than that of on earth we know that the time period is inversely proportional to g.

So, on planet X the time period is shorter and the mass-spring will remain same because the attached mass and spring constant are the same, the mass spring system is unaffected.

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Only in the presence of an electric potential difference does the electric field exist. There won't be any electric field if the charge is homogeneous throughout, regardless of how high the electric potential is.

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The correct option is B. weight force down is greater than the air drag.

Weight force is the force of gravity acting on a body or object. It is the magnitude of the force of gravity acting on an object or body and is determined by the object or body's mass multiplied by the acceleration due to gravity. Weight force is a type of force, and is a vector quantity which has both magnitude and direction. Weight force acts in the downward direction of the Earth's gravitational field and its direction is always towards the center of the Earth. Weight force is important in determining the motion of objects and bodies, and is one of the most important fundamental forces in physics.

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Ben's power is 871W

What is the short definition of power?

Power can be defined as the amount of work completed in a given amount of time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power. Horsepower, or roughly 745.7 watts, is a unit of measurement used to describe the power of machinery and motor vehicles.

We could determine Ben's power rating if this were the case. Ben must presumably push down on the stairs with an 800-Newton force in order to raise his body. Ben's body would be pushed upward by the stairs in this way with just enough force to raise him up the stairs. Ben's power rating might be calculated using these two estimations, as illustrated below.

Power = work done / time

Power = 784*2/ 1.8

         P= 871W

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(a) The angle of the hill is 40⁰

(b) The vertical of Jill's velocity is 1.93 m/s.

The angle of the hill is calculated by applying the following kinematic equation as shown below.

Vₓ = V cosθ

where;

cosθ = Vₓ / V

θ  = arc cos (Vₓ / V)

θ  = arc cos (2.3 / 3)

θ  = 40⁰

The vertical component of the velocity is calculated as follows;

Vy = 3 m/s  x  sin (40)

Vy = 1.93 m/s

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When the graph of distance travelled with time is not straight, it implies that the acceleration is constant.

The acceleration of an object is the rate of change of velocity with time.

Mathematically, the formula for the acceleration of an object is given as;

a = Δv / Δt

where;

The slope of velocity time graph is acceleration. This implies that acceleration increases with increase in velocity of an object.

However, if the graph of the distance travelled by an object with time is straight, it implies that the velocity is not uniform.

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The first surviving term in the distant field in this situation might be referred to as a quadrupolar field.

The determination that the first surviving term in the distant field is a quadrupolar field is based on the fact that the net charge and the visible dipoles in the arrangement cancel out, leaving no monopolar or dipolar fields.

A quadrupole is a distribution of charges in which there are two positive and two negative charges of equal magnitude and opposite sign, arranged symmetrically about a central point.

A quadrupole generates a quadrupolar field, which falls off as the inverse cube of the distance from the source, as opposed to the inverse square of the distance for a dipole.

So when a net charge and dipoles are cancelled, the next term that could survive is the quadrupolar term.

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The glass bead has a 0.001 m radius. The distance between the first and second points from the bead's center is 0.003 and 0.005 meters, respectively.

The radius of a circular is the distance a circle's center from any point along its perimeter. Usually, "R" or "r" is used to indicate it.

A radius is indeed a line segment that has one endpoint in the circle's center and the other terminus on the circumference of the circle. Circle's diameter equals the radius The diameter of a circle is a line segment that has its ends on the circle and passes through its center. Radius x 2 equals the diameter.

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Formula for period:

[tex]T=\dfrac{1}{f}[/tex]

period(measured in seconds) = 1 / frequency(measured in hertz)

__________________________________________________________

Given:

[tex]f=77,621Hz[/tex]

[tex]T=?[/tex]

__________________________________________________________

Finding period:

[tex]T=\dfrac{1}{f}[/tex]

[tex]T=\dfrac{1}{77,621}[/tex]

__________________________________________________________

Answer:

[tex]\fbox{T = 0.0000129}[/tex]

To illustrate how technology keeps people from experiencing significant events firsthand, consider Nate Beeler's editorial comic Total Eclipse 2017.

Cartoon editorials share this educational goal with prose editorials. They are created with the intention of getting readers to reflect on contemporary political concerns. A reader-friendly visual and linguistic language is required for editorial cartoons.

someone's opinion or point of view on something. How might a political cartoonist's point of view be impacted. The point of view of a cartoonist will direct their work. The opinions of others may be taken into consideration by cartoonists, or they may solely express their own opinions.

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The balloon needs to be charged with a minimum of 1.3 x 10-10 Coulombs for it to adhere to the wall.

To find the minimum amount of charge required on the balloon for it to stick to the wall, we can use the following equation:

Friction force = friction coefficient x normal force

The electrical attraction between the charged balloon and the molecules of the wall, which cause an equal but opposing charged polarization, produces the normal force and may be computed as follows:

Normal force = k x q1 x q2 / r^2

where k is Coulomb's constant, q1 and q2 are the charges on the balloon and the wall's molecules, respectively, and r is the average distance between the opposite charges.

The gravitational force acting on the balloon is given by:

Fg = m x g

Since the downward gravitational force is balanced by the upward static friction force, we can set the gravitational force equal to the friction force:

m x g = friction coefficient x k x q1 x q2 / r^2

Solving for q1, the charge on the balloon, we have:

q1 = (m x g x r^2) / (friction coefficient x k x q2)

Given that the mass of the balloon is 1.4 g, coefficient of static friction with the wall is 0.73, the average distance between the opposite charges is 0.75mm, and Coulomb's constant is 910^9 Nm^2/C^2.

q1 = (1.4 x 9.8 x (0.75 x 10^-3)^2) / (0.73 x 9 x 10^9)

The minimum amount of charge required on the balloon in order for it to stick to the wall is 1.3*10^-10 Coulombs

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Answer:

I think the answer you're looking for is particulate matter.

Explanation:

The time taken by the car to overtake the the truck is found to be 10 seconds.

The car starts from rest and accelerate at the rate of 3m/s². The truck passes the car on the spotlight and it is travelling at a speed of 15m/s.

We know,

S = ut + 1/2at²

Where,

u is initial speed,

tis the time,

a is acceleration.

Also,

constant speed = dstance/time.

To overtake,

Distance covered by car = distance covered by the truck

So,

1/2at² = 15t

1/2at = 15

Putting a =3m/s²

1/2(3)t = 15

t = 10 seconds.

So, the time taken by the car to overtake is 10 seconds.

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The magnitude of the electric force on the electron is 2360 N and it points due east.

Electric force is an attractive or repulsive force between two particles that have an electric charge. This force is generated when two charged particles interact due to their charges. The strength of the electric force depends on how much charge each particle has, as well as their distance from each other. Electric forces are responsible for phenomena such as static electricity and lightning, and they can also be used to power electric motors and other devices.

This is because an electric field exerts a force on a charged particle in the direction that is opposite to the direction of the field. Since the electric field points due east, then the force on the electron will point due west.

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So the net force acting on the tanker is: F_net = sqrt(Fx^2 + Fy^2) = 2.4 x 10^4 N And the acceleration of the tanker is: a = F_net / m = 2.4 x 10^4 N / 3.3 x 10^7 kg = 7.27 x 10^-4 m/s^2.

How to calculate net force and acceleration?

To find the acceleration of the tanker using vector methods, we can use the following equation:

F_net = ma

where F_net is the net force acting on the tanker, m is the mass of the tanker, and a is the acceleration of the tanker.

In this case, the two tugboats are pulling in opposite directions, so we need to find the vector sum of their forces to find the net force acting on the tanker.

Using the component method, we can find that the x-component of the net force is:

Fx = 2.4 x 10^4 N * cos(16) - 2.4 x 10^4 N * cos(9) = -2.4 x 10^4 N

and the y-component of the net force is:

Fy = 2.4 x 10^4 N * sin(16) + 2.4 x 10^4 N * sin(9) = 0 N

So the net force acting on the tanker is:

F_net = sqrt(Fx^2 + Fy^2) = 2.4 x 10^4 N

And the acceleration of the tanker is:

a = F_net / m = 2.4 x 10^4 N / 3.3 x 10^7 kg = 7.27 x 10^-4 m/s^2

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Dust particles can acquire a charge through a process called triboelectrification, which occurs when two materials rub against each other, transferring electrons from one material to the other.

Triboelectrification is the phenomenon in which a charge is generated through the contact and separation of two materials. It is also known as "friction electrification" or "contact electrification".

When dust particles rub against a piece of paper, transferring electrons from the dust particles to the paper and giving the dust particles a negative charge. Once the dust particles have acquired a charge, they can be attracted to a charged object, such as a piece of paper, through Coulomb's law, which states that objects with opposite charges will experience an attractive force.

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