A 81.9 kg person stands on her toes. The surface area of her toes in contact with the ground is only 0.00210 m^2. How much pressure is exerted between her toes and the ground, IN ATMOSPHERES?

Answer: 4.6 years

Explanation:

According to Kepler’s Third Law of Planetary motion “The square of the orbital period [tex]T[/tex] of a planet is proportional to the cube of the semi-major axis [tex]a[/tex] (size) of its orbit”:

[tex]T^{2}\propto a^{3}[/tex] (1)  

However, if [tex]T[/tex] is measured in Earth years, and [tex]a[/tex] is measured in astronomical units (unit equivalent to the distance between the Sun and the Earth), equation (1) becomes:  

[tex]T^{2}=a^{3}[/tex] (2)  

Knowing [tex]a=2.768 AU[/tex] and isolating [tex]T[/tex] from (2):  

[tex]T=\sqrt{a^{3}}[/tex] (3)  

[tex]T=\sqrt{(2.768 AU)^{3}}[/tex] (4)  

Finally:  

[tex]T=4.6 years[/tex] This is Ceres' orbital period

Roller coasters convert potential energy into kinetic energy as they go downhill due to gravity which increases their speed. This kinetic energy is converted back into potential energy as they go uphill and slow down. This cycle continues until friction and air resistance slow the roller coaster down.

Roller coasters are an exciting way to experience the conversion of potential energy to kinetic energy and back again. Let's break down this concept in simpler terms.

1. The roller coaster car starts with a high potential energy at the starting point, usually at the top of a hill. The car gets this energy from the work done by the machines that lift it up to this starting height.

2. As the roller coaster starts to move down the slope, this potential energy begins to convert into kinetic energy. The potential energy decreases while the kinetic energy increases - this is due to the car's increased speed due to gravity pulling it downhill.

3. At the lowest point of the track, the car has the maximum kinetic energy and minimum potential energy.

4. When the car again starts to climb up another smaller hill, the kinetic energy is converted back into potential energy as the car slows down and gains height.

5. In a frictionless situation, this process would continue without end. However, in reality, some energy is lost due to friction and air resistance, and that's why roller coasters eventually come to a stop.

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The change in momentum is equal to 1.3928 kg.m/s².

The kinetic energy of the ball as it strikes the surface = 2.94 Joules

Given:

Mass of the ball = 100 g = 100 × 10⁻³ kg = m = 0.1 kg

Height from which ball falls = h = 3 m

Height to which the ball rebounds = h' = 2 m

g= acceleration due to gravity = g = 9.8 m/s²

1. A ball dropped from a height of 3 m, hits the horizontal surface and bounces back. This will cause a change in momentum.

The velocity of the ball before hitting the surface and after hitting the surface is different; causing a change in momentum (Δp).

Since momentum (p) = mass (m) × velocity (v) : [tex]p=m\times v[/tex]

Δp = [tex]m\times V_\ after[/tex] [tex]-\ m\times V_\ before[/tex] = [tex]m\times (V_\ after[/tex] [tex]\ -\ V_\ before[/tex] [tex])[/tex] ...........................(1)

Velocity (v) is given by [tex]v = \sqrt{2gh}[/tex]

[tex]V_\ before[/tex] = [tex]\sqrt{2\times g\times h} = \sqrt{2\times 9.8\times 3} = \sqrt{58.8} = 7.668\ m/s^2[/tex]

[tex]V_\ after[/tex] = [tex]\sqrt{2\times g\times h'} = \sqrt{2\times 9.8\times 2} = \sqrt{39.2} = 6.2609\ m/s^2[/tex]

[tex]V_\ before[/tex] is a decreasing quantity (Ball dropped from 3 m) until it becomes equal to [tex]V_\ after[/tex] and hence is a negative vector (negative in sign and opposite in direction to [tex]V_\ after[/tex].)

[tex]V_\ before[/tex] = (-7.668 m/s²)

From (1), for m = 0.1 kg, Δp becomes;

Δp = [tex]m\times (V_\ after[/tex][tex]\ -\ V_\ before[/tex][tex])[/tex] =  [tex]0.1( 6.2609 - ( - 7.668)) = 0.1\times 13.9289 = 1.3928\ kg.m/s[/tex]

2. As a ball falls to the surface, its gravitational potential energy is transformed into kinetic energy. This kinetic energy keeps on increasing with increase in momentum until it strikes the surface.

K.E of ball just before it strikes the surface from 3 m height = [tex]K.E = mgh[/tex]

[tex]K.E = 0.1\times 9.8\times 3 = 2.94\ J[/tex]

the answer is attraction

Answer:

the answer is b.

Explanation:

cause i took the test

400 N

The weight of the man is evenly distributed on each scale

The man's total weight of 800-N, when distributed equally over two bathroom scales, will result in each scale reading 400-N.

The man's total weight is 800-N and he is standing on two scales, with his weight distributed evenly. This means each scale will bear half of the total weight. Therefore, the reading on each scale will be 800-N divided by 2. That calculation yields a result of 400-N per scale. So each bathroom scale will show a weight of 400-N, assuming the weight distribution remains equals.

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Answer:

It takes 58.8 seconds to swim the length of a olympic-sized pool.

Explanation:

Uniform Velocity Motion

It describes the situation when an object moves in such a way that it travels equal distances at equal times in the same direction. For example, if it travels x=50 m in t=10 seconds and later it travels x=200 m in t=40 seconds, its speed is constant and equal to v=5 m/s. The relation between the variables x,t, and v is

[tex]x=v.t[/tex]

We know a swimmer is traveling at a constant speed of 0.85 m/s. We are required to find how long would it take him to swim the length of an x=50-meter Olympic-sized pool.

From the above equation, we solve for t

[tex]\displaystyle t=\frac{x}{v}[/tex]

[tex]\displaystyle t=\frac{50\ m}{0.85\ m/s}[/tex]

[tex]\boxed{t=58.8\ s}[/tex]

It takes near 59 seconds to swim the length of a olympic-sized pool

A swimmer would take about 59 seconds to swim the length of a 50-meter Olympic-sized pool when traveling at a constant speed of 0.85 m/s.

The time it takes to cover a specific distance traveling at a constant speed can be calculated using the equation time = distance / speed.

In this question, the swimmer is traveling at a constant speed of 0.85 meters per second and the distance to be covered is a 50-meter Olympic-sized pool. To solve the problem we will use the equation stated above:

time = 50 m / 0.85 m/s = 58.82 seconds approximately.

So, at a constant speed of 0.85 m/s, it would take a swimmer about 59 seconds to swim the length of a 50-meter pool.

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the effect of pressure on surface tension can be attributed in part to absorption of gas at the surface of the liquid and in part to an intrinsic decrease in density of the liquid in the neighborhood of the surface.

In the case of liquids , Owing to contact forces between the edge of the surface and the vessel, the surface acquires a curvature, and if the liquid rises up at the edges where it meets the vessel, the pressure will be less in the liquid than in the air, for points just below and just above the surface. The vessel exerts an upward force on the liquid. This is simply a matter of looking at the directions of forces acting, knowing that the surface is under tension.

The initial velocity is [tex]6.7 m/s[/tex]

Explanation:

The motion of the ball is a projectile motion, therefore it consists of two independent motions:  

- A uniform motion (constant velocity) along the horizontal direction  

- A uniformly accelerated motion, with constant acceleration (acceleration of gravity) in the downward direction  

In this problem, we just need to analyze the horizontal motion: the horizontal velocity is constant, therefore the horizontal distance travelled is given by

[tex]x=v_x t[/tex]

where

[tex]v_x[/tex] is the horizontal velocity

t is the time of flight

Here we have:

t = 0.45 s

x = 3.0 m

And so solving for [tex]v_x[/tex], we find

[tex]v_x = \frac{3.0}{0.45}=6.7 m/s[/tex]

And since the ball was initially projected horizontally, this is also the initial velocity.

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The initial velocity of the ball is 6.67 m/s.

To determine the initial velocity of the ball, we need to use the horizontal motion equation, which states that the horizontal distance traveled equals the product of the initial velocity and the time of flight. In this case, the horizontal distance traveled is 3.0 m and the time of flight is 0.45 s. Rearranging the equation, we find that the initial velocity is equal to the horizontal distance divided by the time of flight.

Initial velocity = horizontal distance / time of flight = 3.0 m / 0.45 s = 6.67 m/s

Therefore, the initial velocity of the ball is 6.67 m/s.

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Answer:

Voltage describes the potential difference between the two ends of a conductor and thus , more the voltage , more will be the flow of current through the conductor ( more no of electrons and faster speed).

Explanation:

Voltage represents the potential difference between two ends of a conductor, and so the greater the voltage, the greater the current flow through the wire.

Ohm's law claims that the voltage across a conductor is directly proportional to the current flowing through it.

Ohm's law claims that the voltage across a conductor is directly proportional to the current flowing through it.

This current-voltage connection may be expressed mathematically as,

The Equation of Ohm's Law

V=IR

Voltage represents the potential difference between two ends of a conductor, and so the greater the voltage, the greater the current flow through the wire.

Hence, Voltage is described as the product of the current and the resistance.

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Answers:

a)The balloon is 68 m away of the radar station

b) The direction of the balloon is towards the radar station

Explanation:

We can solve this problem with the Doppler shift equation:

[tex]f'=\frac{V+V_{o}}{V-V_{s}} f[/tex]  (1)

Where:

[tex]f=250,000 Hz[/tex] is the actual frequency of the sound wave

[tex]f'=240,000 Hz[/tex] is the "observed" frequency

[tex]V=340 m/s[/tex] is the velocity of sound

[tex]V_{o}=0 m/s[/tex] is the velocity of the observer, which is stationary

[tex]V_{s}[/tex] is the velocity of the source, which is the balloon

Isolating [tex]V_{s}[/tex]:

[tex]V_{s}=\frac{V(f'-f)}{f'}[/tex]  (2)

[tex]V_{s}=\frac{340 m/s(240,000 Hz-250,000 Hz)}{240,000 Hz}[/tex]  (3)

[tex]V_{s}=-14.16 m/s[/tex] (4) This is the velocity of the balloon, note the negative sign indicates the direction of motion of the balloon: It is moving towards the radar station.

Now that we have the velocity of the balloon (hence its speed, the positive value) and the time ([tex]t=4.8 s[/tex]) given as data, we can find the distance:

[tex]d=V_{s}t[/tex] (5)

[tex]d=(14.16 m/s)(4.8 s)[/tex] (6)

Finally:

[tex]d=68 m[/tex] (8) This is the distance of the balloon from the radar station

The strength of the magnetic field is 0.089 T

Explanation:

The force caused by a magnetic field on a current-carrying wire is given by the equation

[tex]F=ILB sin \theta[/tex]

where

I is the current in the wire

L is the length of the wire

B is the strength of the magnetic field

[tex]\theta[/tex] is the angle between the direction of the field and the wire

In this problem, we have

L = 0.57 m

I = 9.7 A

F = 0.49 N

[tex]\theta=90^{\circ}[/tex] since the wire is perpendicular to the field

Solving for B, we find the strength of the field:

[tex]B=\frac{F}{ILsin \theta}=\frac{0.49}{(9.7)(0.57)(sin 90^{\circ})}=0.089 T[/tex]

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Answer:

food chain

Explanation:

The given flow chart or diagram represents a food chain . A food chain is the flow of energy from lower level organism to higher level organism.

In ecology, the food chain is the flow of substance and energy from one organism to another in the form of food. Due to the fact that most species consume more than one kind of animal or plant, food chains locally entangle to form a food web.

The main source of food are plants since they use photosynthesis to turn solar energy into food.A flesh-eating animal consumes a plant-eating species in a predator chain. A smaller organism in a parasite chain takes a portion of a larger host and may also become a parasite on itself.

Here, the phytoplanktons are eaten by shrimps and they are in turen eaten by salmon which is edible to humans. Hence, the diagram represents a food chain.

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Answer:

The amount of work done in order to lift the box is [tex]150\ Joule[/tex]

Explanation:

Given the weight of each box is [tex]100N[/tex]

And the man lifts boxes at a height of [tex]1.5m[/tex]

We need to find the amount of work done.

The amount of work done is the product of applied force [tex]F[/tex] that causes the displacement [tex]d[/tex].

In our problem force is [tex]100N[/tex] and displacement is  [tex]1.5m[/tex].

Now, work done

[tex]=force\times displacement\\=100\times1.5\\=150\ Joule[/tex]

So, the amount of work done in order to lift the box is [tex]150\ Joule[/tex]

Final answer:

The field of physical science mainly combines the subjects of Physics and Chemistry, with significant interdisciplinary overlap where these subjects connect with others like Biology and Earth Science. Chemistry, serving as the 'central science,' bridges various areas within the physical and life sciences.

Explanation:

The field of physical science primarily combines the subjects of Physics and Chemistry. Physical science is a broad term that encompasses various sciences dealing with inanimate natural objects and the laws that govern them. It is distinct from the life sciences (like Biology), which concern living organisms. In the interdisciplinary nature of scientific study, there is significant overlap among various fields; Chemistry is often termed the "central science" due to its integral role in connecting physical, earth, and life sciences. Fields such as biochemistry combine principles of Biology and Chemistry, while geophysics might combine Geology with Physics.

Earth Science and Chemistry also have significant overlap, for example in geochemistry. However, when referring specifically to the major branches that make up physical sciences, Physics and Chemistry are the core focus. Additionally, mathematics plays a crucial role across all scientific disciplines, as it provides the language in which scientific laws and phenomena are expressed. This interconnected nature of sciences leads to the creation of various interdisciplinary fields, illustrating the difficulty in drawing distinct boundaries between each scientific discipline.

The amount of  time the shot-put spent in the air before it hits the ground is 3 sec

given the data in the question;

A person throws a shot-put from height, initial height; s = 5ft

Initial vertical velocity or speed; v = 40 ft/s

Now, it is said that, vertical motion model is;

[tex]h = -16t^2 +vt + s[/tex]

so we substitute in the given values

[tex]h = -16t^2 + (40ft/s * t) + 5ft[/tex] --------------Let this be equation 1

To calculate the amount of  time the shot-put spent in the air before it hits the ground.

We say:  height; h = 0 i.e when the shot-put touches the ground, the height becomes zero.

so we substitute in h=0 in equation 1

[tex]0 = -16t^2 + (40ft/s * t) + 5ft[/tex]

we rearrange

[tex]16t^2 - 40t - 5 = 0[/tex]

To solve for "t", we use the quadratic equation

[tex]x = \frac{-b\±\sqrt{b^2-4ac} }{2a} \\[/tex]

as [tex]ax^2 +bx-c = 0[/tex], we take each value from its position and substitute into the quadratic equation

so

a = 16

b = -40

c = -5

so substitute

[tex]x = \frac{-(-40)\±\sqrt{(-40)^2 - (4*16*(-5)} }{2*16} \\\\x = \frac{40\±\sqrt{1600+320} }{32}[/tex]

[tex]x = \frac{40\±\sqrt{1920} }{32}\\so\\\\x = \frac{40+\sqrt{1920} }{32} or \frac{40-\sqrt{1920} }{32} \\\\x = 2.62\\or\\ x = -0.12\\[/tex]

we know that, time can not be negative,

Hence x = 2.62 ≈ 3 sec { nearest tenth }

Therefore, the amount of  time the shot-put spent in the air before it hits the ground is 3 sec

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The centripetal acceleration is 27.692 kg m / s^2.

The mass of the ball is 7.94 kg.

Explanation:

            centripetal force Fc = (mass * square of velocity) / radius

where m represents mass in kg

          v represents  velocity

          r represents radius in a meter.

                                                             = (6 * 6) / 1.3

                                                             = 27.692 kg m / s^2.

 The mass of the ball is found by using the centripetal force formula,

                                                      m = (F * r) / v^2

                                                          =  (220 * 1.3) / 36

                           mass of the ball  m = 7.94 kg.

North Pole and South Pole.

The second option G. Docs is a free, cloud-based word processor that allows you to create, edit, and collaborate in real-time with other users.

G. Docs is a web-based application offered by G.o.o.g.l.e within its suite of office tools. It allows users to create, edit, and store documents online, enabling real-time collaboration. Multiple users can simultaneously work on the same document, making it an excellent tool for collaborative projects. G. Docs automatically saves changes, reducing the risk of data loss, and offers seamless integration with G. Drive for easy storage and sharing of documents. The cloud-based nature of G. Docs eliminates the need for specific operating systems, making it accessible from various devices with internet connectivity.

In summary, the correct answer is G. Docs, a versatile cloud-based word processor that promotes efficient collaboration and accessibility across different platforms.

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Answer:

5A

Explanation:

In case 1, I = 10A, V = 150volt

Using Ohms law, V = IR

R = V/I = 150/10 = 15 ohms

Case 2, when R is double

R = 15 ohms

I = V/R = 150/30 = 5A

Answer:

5 A

Explanation:

The distance travelled in 5 seconds is 125 m

Explanation:

The motion of the skydiver is a free fall motion, since he is acted upon the force of gravity only. Therefore, it is a uniformly accelerated motion, with constant acceleration downward, and we can find the distance he travels by using the following suvat equation:

[tex]s=ut+\frac{1}{2}at^2[/tex]

where

s is the distance travelled

u is the initial velocity

t is the time

a is the acceleration

In this problem, we have:

u = 0 (the skydiver jumps from rest)

[tex]a=g=10 m/s^2[/tex] (acceleration of gravity)

And substituting

t = 5.0 s

we find the distance travelled:

[tex]s=0+\frac{1}{2}(10)(5)^2=125 m[/tex]

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Answer:

Humid air is lighter so it has lower pressure

Explanation:B.) humid air is lighter, so it has lower pressure

Explanation:

Humidity is related to air pressure in that, a humid air is lighter and it has very low pressure.

Air is heavier than water vapor.

   The main component of humid air is water vapor.

   Water vapor is mostly water in its gaseous form

   We know that for a single mole of water, the mass is 18g

   Air is a mixture of gases with Nitrogen gas dominating.

   A mole of nitrogen gas has a mass of 28g.

   We can see that air that is humid i.e contains more water vapor is lighter and it has a lower pressure.

6) True: the car is exerting an equal and opposite force on the truck

7) True: the astronaut can drift back by throwing the tool forward

8) True: the bug exerts an equal and opposite force on you

9) Second Law

Explanation:

6)

This problem can be solved by applying Newton's third law of motion, which states that:

"When an object A exerts a force (action) on another object B, then object B exerts an equal and opposite force (reaction) on object A"

In this problem, we can identify the car and the truck as object A and object B. Here we are told that the truck is exerting a force on the car: therefore, according to Newton's third law, the car is also exerting an equal and opposite force on the truck.

Therefore, the statement is true.

7)

This problem can be also solved by thinking in terms of the Newton's third law of motion.

In fact, at the beginning the astronaut is drifting away from the space station. When he throws away the tool, in the forward direction (away from the space station), he exerts a force on the tool: we can identify this force as the action force, and its direction is away from the space station.

As a result, according to Newton's third law, the tool will also exert a reaction force (equal and opposite) on the astronaut: therefore, the force exerted by the tool on the astronaut is toward the space station, and therefore the astronaut will be pushed back towards the station.

Therefore, the statement is true.

8)

Again, this problem can also be explained using Newton's third law.

In fact, the moment you step on the bug, your foot exerts a force (the action force) on the bug, pushing downward.

As a result, according to Newton's third law, the bug exerts back on you an equal and opposite force (upward). The reason you don't feel this force at all is that your mass is much larger than that of the bug, therefore your acceleration is negligible.

Therefore, the statement is true.

9)

This problem can be explained by using Newton's second law, which states that the net force acting on an object is equal to the product between its mass and its acceleration. Mathematically:

[tex]F=ma[/tex]

where

F is the net force

m is the mass

a is the acceleration

In this problem, the ball slows down as it crosses the field: this means that it has an acceleration (more precisely, a negative acceleration). According to the law, this means also that there is a net, unbalanced force acting on it, in the direction opposite to the motion of the ball. In fact, this force is the force of friction between the ball and the surface.

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It would have more kinetic energy at the start, resulting in greater potential energy at the bottom of the track.

Answer: Option A.

Explanation:

The car at the race track will accelerate at point X. It will have more kinetic energy at the start because the car is at the slope and with time it will result in greater potential energy at the bottom.

As we go down towards the bottom of the track, the kinetic energy will get converted into potential energy because here the body starts coming at rest and is not moving.

Answer:

yall its A

Explanation:

Explanation:

Factors affecting surface tension includes;

There are three factors that affect surface tension.

Temperature- the surface tension of a liquid decreases with increase in temperature.

Soluble impurities - the presence of soluble impurities may increase or decrease the surface tension.

Insoluble impurities- insoluble impurities decrease the surface tension.

Answer:

D: chromosomes fail to separate properly during meiosis

Explanation:

Answer:

B: it is the instantaneous speed of the bike rider.

Explanation:

keep it going....

Answer:

B It is the instantaneous speed of the bike rider.

Explanation:

I took  the test

Answer:

765,000 Joule

Explanation:

Principle of Conservation of Energy

The total energy in an isolated system cannot be created or destroyed, but transformed. Moving objects have kinetic energy, objects placed in some height above a reference level have gravitational potential energy. When they change their motion variables, one energy converts into the other, but if the numbers don't fit, we know there was some other type of energy acting into the system. The most common reason for energy 'losses' is the thermal energy, produced when objects move in rough surfaces or take friction from the air.

The 7,500 kg truck is originally traveling at 20 m/s to a certain height we'll set to 0. Thus, its total energy is  

[tex]\displaystyle E_1=\frac{mv^2}{2}[/tex]

[tex]\displaystyle E_1=\frac{7,500\ 20^2}{2}[/tex]

[tex]E_1=1,500,000\ Joule[/tex]

When it comes to a stop, its speed is 0 and its height is 10 m higher than before. It means all the kinetic energy was transformed into other types of energy. The gravitational potential energy is

[tex]U=mgh=(7,500)(9.8)(10)=735,000\ Joule[/tex]

Since this number is not equal to the previous value of the energy, the difference is due to thermal energy dissipated by friction

[tex]E_t=1,500,000\ Joule-735,000\ Joule=765,000\ Joule[/tex]

Explanation:

(a) The net force in the y direction is the sum of the individual forces.  Taking up to be +y:

∑F = Lift − Weight

∑F = 100,000 N − 75,000 N

∑F = 25,000 N

(b) Since the net force is not 0, the forces are unbalanced.

(c) Since the lift is greater than the weight, the plane will rise.

(d) The net force in the x direction is the sum of the individual forces.  Taking forward to be +x:

∑F = Thrust − Drag

∑F = 200,000 N − 23,000 N

∑F = 177,000 N

(e) Since the net force is not 0, the forces are unbalanced.

(f) Since the thrust is greater than the drag, the plane will accelerate.

There will be zero radioactive atoms left

Explanation:

The amount of radioactive atoms left of a radioactive sample after a certain time t is given by the equation

[tex]N(t) = N_0 (\frac{1}{2})^{-\frac{t}{\tau}}[/tex]

where

N(t) is the number of radioactive atoms left after time t

[tex]N_0[/tex] is the initial number of radioactive atoms

[tex]\tau[/tex] is the half-life of the sample

In this problem we have:

[tex]N_0 = 800[/tex] (initial number of radioactive atoms)

[tex]t=14 \tau[/tex] (we want to evaluate the number of atoms left after 14 half-lives)

Substituting, we find:

[tex]N(14\tau) = (800)(\frac{1}{2})^{-\frac{14\tau}{\tau}}=0.049[/tex]

This means that there will be zero atoms left, since atoms can't be split in fractional parts.

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