How much force would you need to accelerate a 4 kg object from a standstill to 5 m/s^2

The charge on the sphere is found to be 1.5 x 10⁻¹⁵ C.

The proton is orbiting the surface of the charged sphere of radius 4.43 cm and the speed of the proton is 3.22 x 10⁵m/s. The charge on proton is 1.6 x 10⁻¹⁹ C and the mass of the proton is 1.67 x 10⁻²⁷ kg.

Now,

For revolving,

Electrostatic forces = Centripetal force

KQq/r² = Mv²/r

Here,

R is the radius of the orbit,

Q and q are the charges of the sphere and the proton,

M is the mass of the proton.

Putting values,

9 x 10⁹ x Q x 1.6 x 10⁻¹⁹/0.0443 = 1.67 x 10⁻²⁷ x 3.22 x 10⁵

Q = 1.5 x 10⁻¹⁵ C

So, the charge on the sphere is 1.5 x 10⁻¹⁵ C.

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The compression in the spring will be 4.9m

What is spring force?

The force needed to compress or extend a spring attached to an object is known as the spring force. A spring exerts an equal and opposite force on a body when the object exerts a force on it. It always acts to bring mass back to its equilibrium. Spring force exerted by the spring on the body is given by = where k is the spring constant of the spring x is the compression or extension caused in the spring. To find the x we can use this formula.

Now, according to the question we have

Spring constant=2000N/m

Mass attached to the spring=1000Kg

On substituting the values in the above formula, we get the compression as

F=kx

mg=kx

1000×9.8=2000×x

x=4.9m

Therefore, the compression in the spring is 4.9m

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He travels a distance of 300 m in that time interval.

We know that we can be able to obtain the time that he travelled if we use the formula that applies to the average speed. In this case we are told in  a time of 30 seconds, he increases his speed steadily from 8.3 m/s to 11.7 m/s.

Thus;

distance = Average speed/Time

Distance = (8.3 + 11.7/2) * 30

Distance = 300 m

We can see that he would move through a distance of well about 300m as the velocity is increasing as shown here.

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In warm air, sound travels more quickly than in cold air. Since the speed of sound is directly inversely proportional to the square root of the air's absolute temperature, the speed of sound rises with temperature.

Additionally, dry air travels faster than humid air for sound. The speed of sound is slightly affected by humidity, with sound traveling slightly slower in more humid air. This is due to the fact that airborne water vapor has the ability to slow down sound waves by absorbing some of their energy.

The amount of water vapor in the air is measured by humidity. At a given temperature, it is typically expressed as a percentage of the maximum amount of water vapor that the air can hold.

It is said that the air has a humidity of 100 percent when it is saturated. Any additional water vapor will condense into liquid or solid form (such as dew, fog, clouds, or precipitation) because the air cannot hold any more water vapor at this point. The air can hold more water vapor and is less likely to reach 100% humidity as the temperature rises.

Specific humidity or mixing ratio, which is the ratio of the mass of water vapor in the air to the mass of the air as a whole, is another way to measure humidity.

The weather and climate can be significantly affected by humidity. High humidity can cause clouds to form and precipitation to fall. It can also make the air feel hotter. Low humidity can make the air feel cooler, make it dry, and make wildfires more likely. The human body is also affected by humidity; low humidity can dry out the skin and nasal passages, while high humidity can make it difficult to cool down and can exacerbate respiratory issues.

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The radius of a planet is 7.01 times of earth's. The volume of the planet is 344.47 times bigger than the volume of earth.

Let's assume that the shape of both planets are perfect spheres. The volume of a sphere is given by:

V = 4/3 πr³

Where r is the radius.

Hence, the volume is directly proportional to r³, or:

V ∝ r³

Let:

r_p = radius of the planet

r_e = radius of earth

Then,

r_p = 7.01 r_e

Using direct proportionality:

V_p : V_e = r³_p :  r³_e

V_p : V_e = (7.01 r_e)³ :  r³_e

V_p : V_e = 344.47 : 1

V_p = 344.47 V_e

Therefore, the volume of the planet is 344.47 times bigger than earth's.

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The total number of charges moved to power up the light for 20 min is 3.75 x 10¹⁹

The voltage of the battery = 1.50 V
The power supplied by the battery = 0.45 W

The flashlight will glow for 20 min

The total number of charges moved during the flashing of the flashlight can be found using the formula,

              I = P/V
where I is the current

          P is the power

          V is the voltage supplied

We also know that,

            I = Q/t

Let us substitute this equation, with the above equation, and we get

           Q = Pt/V

Now, let us substitute the known values in the above equation, we get

           Q = 0.45 x 20 / 1.50

              = 9 / 1.50

              = 6 C

Then, the number of charges is

            n = Q/e

where e is the charge of an electron

            n = 6 / 1.6 x 10⁻¹⁹

               = 3.75 x 10¹⁹

Therefore, the number of charges moved is 3.75 x 10¹⁹

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By disassembling the circuit and connecting a "ammeter" in series (or in-line) with it, all of the electrons that are flowing through the circuit must also pass through the meter in order to measure current in the circuit.

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When a panther appears and attempts to eat the monkey, the monkey performs 3740 J of work to increase its speed.

Work in physics is the energy transferred to or from an object by applying force along a displacement. In its most basic form, work equals the product of force strength and distance traveled for a constant force aligned with the direction of motion. Work is the transfer of energy caused by a force acting on an object as it moves. The work done by a force on an object is calculated as the product of the magnitude of the force multiplied by the magnitude of the displacement multiplied by the cosine of the angle between them.

Here,

W=1/2mv1²-1/2mv2²

=1/2*40(14²-3²)

=3740 J

The monkey does 3740 J of work of increase its speed when a panther appears and tries to eat the monkey.

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Answer:

Object 1 has more surface area than Object 2.

Explanation:

Even if both objects are falling at the same rate due to gravity, air will usually always mess with the 'speed' of an object (I hope that makes sense, I'm not the best at explaining things but Object 1 has more surface area than Object 2 IS correct).

Because of this, regardless of their mass, all objects descend in free fall at the same speed.

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The net acceleration working on the rock is 56.9 m/s² in upward direction, if the mass of the rock is 7.45 kg and the force applied on it is 497 N.

The upward force applied on the rock, F = 497 N

Mass of the rock, M = 7.45 kg

Acceleration due to gravity, g = 9.81 m/s²

We know force = Mass × Acceleration

Acceleration produced in the rock due to the force applied, a = 497/7.45

= 66.71 m/s²

Acceleration due to gravity is working downward, so net acceleration working on the rock, = 66.71 - 9.81 = 56.9 m/s²

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The bullet goes up to the height of 1074.6 m, and its initial velocity was 145.2 m/s,  If the bullet takes 14.8 sec to reach its peak.

Time taken by the bullet to reach its peak, t = 14.8 sec

Velocity after 14.8 sec, v = 0

Let the initial velocity, = u

Acceleration working on the bullet, a = -g = -9.81 m/s²

By the first equation of motion,

v = u + at

0 = u - 9.81 × 14.8

u = 145.2 m/s

Let the highest peak reach by the bullet is h meter, then by using the second equation of motion,

h = ut + 0.5at²

h = (145.2 × 14.8) + 0.5(-9.81)(14.8)²

h = 1074.6 m

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The equator is characterized by relatively  low atmospheric pressure aloft.

The equator is a large circle that surrounds Earth and sits on a plane perpendicular to its axis, everywhere being equally far from the geographic poles.

This geographic, or terrestrial, Equator separates Earth's Northern and Southern hemispheres and serves as the fictitious reference line on the planet's surface from which latitude is calculated; in other words, it is the line at latitude 0°.

In hotter equatorial regions, the air above expands, gets less dense, and rises. At this latitude, this causes a low pressure band to form.

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The charge on the inner surface of the sphere is +2nC because the charge on the interior cavity is 2.0nC.

A law that connects the distribution of electric charge to the resulting electric field is known as Gauss's law, commonly referred to as Gauss' flux theorem.

In its integral form, it asserts that the flux of the electric field out of any closed surface, regardless of how that charge is distributed, is proportional to the electric charge enclosed by the surface. In situations where symmetry requires uniformity of the field, it may be possible to determine the electric field throughout a surface encompassing any charge distribution despite the fact that the law alone is insufficient to do so.

When there is no such symmetry, Gauss's law, which states that the electric field divergence is proportional to the local density of charge, can be applied in its differential version.

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No, we are unable to estimate the austonian's height using this information.

Its Austonian height makes it the second-tallest structure in Texas, behind The Independent, and the second-tallest all-residential structure in North America, west of the Mississippi River.

The second-tallest structure in Austin is the Austinian, which has a connection to an external site. According to a tale, if you drop a rock from the top of a building on a chilly January morning, you will hear the sound of its hit seconds later.

The 58-story Independent, which is 690 feet (210 m) tall and has 58 stories, is the tallest finished structure in the American city of Austin, Texas. After Houston and Dallas, it is the tallest skyscraper in Texas and the tallest all-residential tower west of the Mississippi River. It was completed in 2019.

height of austonian = 16[tex]t^{2}[/tex].

t = [tex]\sqrt{H}[/tex]/4.

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Answer: (D.) It does not include object with different masses

Explanation:

It does not include objects with different masses. Therefore, option D is correct.

The force that pulls items toward the center of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity. A universal, non-contact force, gravity. The gravitational pull of the Earth keeps everything on its surface.

All objects with mass, including our Earth, really bend and curve spacetime, which is what causes gravity to pull you toward the ground. What you experience as gravity is that curvature. If things of different masses are dropped from the same height, they will still impact the ground at the same time because Earth provides everything with the exact same acceleration.

One thing that is wrong about Marcus' experiment is that it does not include objects with different masses. Therefore, option D is correct.

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The b-k colour of a galaxy is a measure of the difference in brightness between the galaxy at blue (b) wavelengths and infrared (k) wavelengths. If the luminosity of the galaxy at blue wavelengths rises by a factor of 100, without any change in the luminosity at k wavelengths, the new b-k colour will be different.

We can use the following equation to calculate the new b-k colour:

b-k = -2.5 * log(Lb/Lk)

Where Lb and Lk are the luminosity of the galaxy at blue and infrared wavelengths, respectively.

Given that the luminosity at blue wavelengths has increased by a factor of 100 and the luminosity at k wavelengths has remained unchanged, the new b-k colour can be calculated as:

b-k = -2.5 * log(100*Lb/Lk) = -2.5 * log(100) + b-k = -2.5 * 2 + 3.2 = -0.8 + 3.2 = 2.4

Therefore, the new b-k colour of the galaxy is 2.4 magnitudes.

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The magnitude of the charge with a smaller magnitude is 2.42 × 10⁴ Coulomb. The result is obtained by using the formula for electrostatic force.

The formula for electrostatic force is

F = kq₁q₂/r²

Where

Two point charges are separated.

We have

Find  the smaller magnitude of the charge!

The smaller magnitude of the charge is q₂.

We use the formula above to find q₂.

F = kq₁q₂/r²

85 = (9×10⁹)2q₂q₂/(0.6)²

85 = (18×10⁹)q₂²/0.36

q₂² = (18×10⁹)/(85×0.36)

q₂² = (18×10⁹)/30.6

q₂² = 5.88 × 10⁸

q₂ = √(5.88 × 10⁸)

q₂ = 2.42 × 10⁴ Coulomb

Hence, the smaller magnitude of the charge is 2.42 × 10⁴ Coulomb.

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In a downward direction, the magnitude of the acceleration is negative and velocity is zero.

Here,

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The energy of the first sound is 6.81 times bigger than the energy of the second sound, or 6.81 times stronger than the intensity of another sound.

Its intensity is the term used to describe how loud a sound is to an individual. Loudness cannot be quantified objectively since everyone perceives loudness differently. Following is a description of the relative characteristics of the acoustic signal, audio intensity, and sound intensity. The kinetic energy of the mass of air is created by the combination of the source's increasing amplitude and the vibrating surface.

The formula for sound intensity is acoustic power divided by the normal area to the propagation direction.

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The potential difference between the plates is 2156V Plate B has the higher potential because the electron moves from A to B as it acquire its own kinetic energy.

Given kinetic energy of electron (KE) = 3.45×10^−16 J

The electron is accelerated from plate A to plate B by an electric field.

We know kinetic energy = charge of electron x potential difference.

So, KE = -qV where q = 1.6 x 10^-19C which is charge of electron.

-3.45×10^−16 = -1.6 x 10^-19 x V

V = 3.45×10^−16/1.6 x 10^-19 =  2156V

Sine the potential difference is positive we can say that plate B has higher potential that plate A.

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Therefore, the highest fluid index of refraction at which we can still produce entire internal reflection is 1.34.

A wave bends when it reaches a medium with a different speed, which is known as refraction. When light travels through a slow medium after traveling through a fast medium, the light ray is bent in the direction of the boundary between the two media.

When light travels from one material to another and changes direction or bends, this is known as refraction. When light strikes water, for instance, it refracts after passing through the air. This may cause a straw in a glass of water to seem twisted at the surface.

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The kinetic energy of this vehicle is 605.835 KJ when its mass is 1687 kg and traveling at speed of 96.6 km/h.

Given,

mass of the car, m = 1687 kg

speed, v = 96.6 km/h

we know that, Kinetic energy

KE = 1/2 mv²

But we need KE in Joule or KJ

so first we convert km/h to m/s

v = 96.6 km/h = 96.6 x (1000/3600) m/s

v = 26.8 m/s

Now,

KE = 1/2 x 1687 x (26.8)²

or KE = 605835.44 Joule = 605835.44 x 10⁻³ Kilojoule

or KE = 605.835 KJ

Therefore, the kinetic energy of this vehicle is 605.835 KJ when its mass is 1687 kg and traveling at speed of 96.6 km/h.

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The magnitude of the acceleration due to gravity near the surface of Mars is[tex]2*d / 4.41s^2[/tex].

To calculate the acceleration due to gravity near the surface of Mars, we can use the equation:

d = 1/2 * a * t^2

Where d is the distance fallen, a is the acceleration due to gravity, and t is the time taken to fall.

We know that on Earth, the marker took 1.3s to fall to the ground and on Mars it took 2.1s. We also know that the distance fallen is the same on both planets, since the marker was dropped from the same height. Therefore, we can set the distance fallen equal on both planets and use the equations above to solve for the acceleration due to gravity on Mars:

d = 1/2 * a_Earth * (1.3s)^2 = 1/2 * a_Mars * (2.1s)^2

a_Mars = 2d / (2.1s)^2

a_Mars = 2d / (4.41s^2)

Where d is the distance fallen and a_Earth = 9.8 m/s^2 is acceleration due to gravity on Earth.

Therefore, the magnitude of the acceleration due to gravity near the surface of Mars is [tex]2*d / 4.41s^2[/tex]

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To control a camera on the moon to perfectly follow the lunar lander as it descended from the surface, engineers used a combination of tracking systems and software.

First, they used a tracking camera to monitor the descent of the lander. This camera was mounted in a fixed position, and was able to track the movement of the lander in real-time.

Additionally, engineers used software to calculate the exact trajectory of the lander and to calculate the corresponding camera movements. This allowed the camera to perfectly follow the lunar lander as it descended from the surface.

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The net charge on the pith ball in coulombs when the number of electrons is specified is calculated to be 2.96 × 10⁻² C.

Given that, number of electrons = 1.85 × 10¹⁷

We know the charge on electron as, e = 1.6 × 10⁻¹⁹ C

The relation between charge and number of electrons is known to be,

Q = n e

where, Q is charge

n is number of electrons

e is charge on electron

After putting the values into the equation above, we have,

Q = 1.85 × 10¹⁷ × 1.6 × 10⁻¹⁹ = 2.96 × 10⁻² C

Thus, the net charge is calculated to be 2.96 × 10⁻² C.

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The "Load Capacity" of a jack refers to the greatest weight it can support. Maximum weight of cargo that has been authorised by the country where the vehicle was registered.

We can determine the necessary minimum capacity for a trailer jack by analysing the concentration of loads in a typical trailer.

Thus, the "Load Capacity" of a jack refers to the greatest weight it can support.

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The work done by the man in lifting his body is 493.92J.

What is work done?

When an object is moved over a specific distance by an external force, the quantity of energy transferred to it is called work. The quantity of energy transmitted to an object through work is referred to as the work done on the thing. Since the man raises his body a vertical distance of 0.63m to go from stage 1 to stage 2 he is doing work against gravity. So, the work done in this case is given by W=mgh where m is the mass of the body, g is the acceleration due to gravity and h is the height raised by the body.

Now, according to the question

Mass of the man=80Kg

Height raised by the man=0.63m

Acceleration due to gravity=9.8

On substituting the values in the given formula, we get the work done as

W=80×9.8×0.63

W=493.92J

Therefore, the work done by the man is 493.92J.

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The time spent in the air by the rock is 4.2 seconds.

The range of the of the rock's motion is 88.2 m.

The time spent in the air by the rock is its time of motion and it is calculated as follows;

t = √ ( 2h / g )

where;

t = √ ( 2 x 85 / 9.8 )

t = 4.2 seconds

The range of the of the rock's motion is calculated as follows;

x = vt

x = 21 m/s  x 4.2 s

x = 88.2 m

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The gas can be heated at constant pressure if a piston moves outward to let the gas expand as it's heated. Alternatively, the gas can be heated at constant .

Define constant pressure?

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The net force applied by to the box is 6264.2 N, if the mass of the box is 50.0 kg and it comes to rest in 0.05 second.

Free fall height of the box, h = 2.0 m

Free fall velocity of the box just before touching the ground, v = √(2gh)

= √(2×9.81×2) = 6.264 m/s

Final velocity or the box after 0.05 sec, = 0

Time to stop, t = 0.05 sec

We know that the applied force is equal to the rate of change of momentum.

F = m(v-u)/t

F = 50 × (6.264-0)/0.05 = 6264.2

So, F = 6264.2 N

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