If a chimpanzee were to throw darts at a Periodic Table, he would most likely hit an

element with which of the following characteristics:
a) a naturally radioactive element
b) a solid at room temperature
c) a gas at room temperature
d) a liquid at room temperature

Important Formulas:

[tex]F=ma[/tex]

Force = mass(measured in kg) * acceleration(measured in m/s^2)

__________________________________________________________

Given:

[tex]m=120kg[/tex]

[tex]F=14,000N[/tex]

[tex]a=?[/tex]

__________________________________________________________

Rearrange formula:

[tex]F=ma[/tex]

[tex]\dfrac{F}{m} =\dfrac{ma}{m}[/tex]

[tex]a=\dfrac{F}{m}[/tex]

__________________________________________________________

[tex]a=\dfrac{14,000}{120}[/tex]

[tex]\fbox{a = 116.67 m/s squared}[/tex]

A 120 kg elevator is supported by a cable in which the maximum safe tension is, 14000 N. The upward acceleration of the elevator is 116. 67 m/s².

Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.

This is the formula to calculate the force.

F = ma

we can modify this, a = F/m

Force = mass(measured in kg) x acceleration(measured in m/s²)

Given, mass = 120 kg

Force = 14000 N

Acceleration

Putting the values in the equation

a = F/m

a =  14000 / 120 = 116. 67 m/s²

Therefore, the upward acceleration of the elevator is 116. 67 m/s².

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Required the moment of inertia of the merry go round.

a. I = 12 MR2 is the formula for the merry-go-moment round's of inertia.

I = ½ * 231 * (1.3 * 1.3)

I = 195.195 kgm2

b. The boy's angular speed is specified as = v/R = 2.5/1.3 = 1.92 rad/s.

c. I' = I + mR2 is the formula for the merry-go-moment round's of inertia following the boy's jump on it.

I’ = 195.195 + 48 * (1.3 * 1.3)

I’ = 276.315 kg/m2

The conservation of angular momentum principle determines the merry-go-angular round's speed. As a result, I (0) + m R = 'I' and = (48 * 1.92* 1.3) / 276.315 = 0.433 rad/s

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Heat transferred in the three steps is Conduction in Step 1 and radiation in Steps 2 and 3.

Conduction. The substance itself does not flow when heat is transported through conduction; instead, heat is internally transferred by the vibrations of atoms and molecules. Metals are typically excellent heat conductors because they can also carry electrons, which can carry heat.

In contrast to atoms, unbound electrons exist in metals. These electrons are free to roam the metal, interacting with the metal atoms and effectively transferring heat to them through collisions. Due of this, metals are generally superior heat conductors than other types of materials.

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The piston's position is given as x = 4.33 cm, piston's velocity is given as v = -5 cm/s and piston's acceleration a = -17.3 m/s².

Given that, piston oscillates with simple harmonic motion so that its position varies according to the expression x = 5 cos( 2t + π/6 ), where x is in centimetres and t is in seconds.

The equation for piston's position is given as

x = 5 cm cos( 2t + π/6 )

At t = 0, x = 5 cos( π/6 ) = 4.33 cm

To find out piston's velocity, we have to differentiate the equation for position with respect to time.

v = dx/dt = -(10 cm/s) sin(2t + π/6)

At t = 0, v = -5 cm/s

To find out piston's acceleration, we have to differentiate the equation for velocity with respect to time.

a = dv/dt = -(20 cm/s²) cos (2t + π/6)

At t = 0, a = -17.3 cm/s²

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The loss of energy in the form of heat, light,  sound and material distortions 4014 joule.

Energy cannot be created or destroyed, according to the rule of conservation of energy. However, it is capable of change from one form to another. An isolated system's total energy is constant regardless of the types of energy present.

The law of energy conservation is adhered to by all energy forms. The law of conservation of energy essentially says that all energy is conserved in closed systems, or systems that are isolated from their surroundings.

The kinetic energy of the ball = 1/2×0.0109×863² joule = 4058 joule.

The kinetic energy of the block after the inelastic collision

= 1/2(1 + 0.0109)(0.0109×863/1.0109)² joule.

= 43.77 joule.

Hence, loss of energy in the form of heat, light,  sound and material distortions = 4058 joule - 43.77 joule = 4014 joule.

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Answer:

10 Newtons.

Explanation:

F=MA

F=(5kg)(2 m/s^2)

10 N

Answer:  (see answers below)

Explanation:

Fnet x = 71.6 - 228.2 = -156.6 N (left)

Fnet y = 457.7 - 232 = 225.7 N (up)

R = [tex]\sqrt{-156.6^{2} + 225.7^{2} }[/tex] = [tex]\sqrt{75464}[/tex] = 274.7 N

Angle of R = 180 - (tan-1)[tex]\frac{225.7}{156.6}[/tex] = 180 - 55.2 = 124.8°

Answer:

Mercury, Venus, Earth, Mars

16.14° is the angle of refraction of the light when it leaves the glass.

Snell's law states that the angle of refraction, θr, is proportional to the angle of incidence, θi and the ratio of the refractive indices of the two media that comprise the interface. The angle θr=θi and no refraction occur when the mediums have equal refractive indices.

Given that,

The glass has an index of refraction (n₁) = 1.52

Air has an index of refraction (n₂) = 1.000293.

According to Snell's law:

n₂/n₁ = sin θ₁ / sin θ₂

or, 1.000293 / 1.52 = sin θ₁ / sin (25°)

or, 0.6581 = sin θ₁ / 0.42262

or, 0.2781 = sin θ₁

or, θ₁ = sin⁻¹ (0.2781)

or, θ₁ = 16.15°

So, 16.15° is the angle of refraction of the light when it leaves the glass.

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The supplied statement implies that the system is not being torqued externally.

The six primary forms of energy are biological, galvanic, radiative, muscular, thermal, the nuclear fuel. Other research may focus on other kinds of electrolytic, acoustic, electromagnetic, and others.

Despite being a basic human requirement, energy plays a significant role in our daily lives. Energy not only heats but also cools the structures that humans have built. You require energy in order to lift your finger, get out of mattress, or even just walk along the main walkway.

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The difference between the two plot is shown clearly by the distance between the two waves.

Wave is defined as a disruption in an energy-conducting medium without a net movement of particles. Wind is the most frequent cause of waves. Wind-driven waves, sometimes referred to as surface waves, are created by friction between the wind and the water's surface.

The two difference between the two plot are the first is the difference between the distance of two crust and trough between the wave in the plot. The second difference is that the first plot is between displacement and distance from the source and the second graph is plot between displacement and time.

Thus, the difference between the two plot is shown clearly by the distance between the two waves.

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The ball will be moving at a speed of 10m/s when it's at position C.

Using first equation of motion

v=u-at

where

v is final speed

u is initial speed

a is acceleration (here a will be replaced with g as the motion is vertical)

t is time

u = 30m/s

v = 10 m/s

g = -10m/s

By substituting the values ,

10=30 - gr ( taking g as 10)

10t=20

t= 2s

It was given at each position is at the interval of one second each, so the body will be at position C when going upwards at a speed of 10m/s.

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Answer:The key results explains how you achieve a certain goal. They have to be quantitative, but always measurable in terms of their progress.

Explanation:

Answer:

acceleration

hope this helps ;>

Answer: Since the train travels with a constant speed, it does not experience any acceleration. The magnitude of the train's acceleration is 0 m/s^2.

The distance the train travels during this time can be calculated using the formula d = vt, where d is the distance, v is the velocity, and t is the time. Plugging in the values given, we have:

d = 20.0 m/s * 8.00 s = <<20*8=160>>160 m

Therefore, the train traveled a distance of 160 meters during this time.

Modular floor panels that rest on pedestals or stringers make up most access flooring systems. Typically, panel dimensions start at 24 by 24 inches square with same distance.

Their dimensions are constant; a raised floor panel is typically 600 mm by 600 mm. A standard access flooring panel in the USA is slightly larger, measuring 24" x 24". (around 610mm). A brand-new and cutting-edge patented solution that comprises of a polished concrete floor panel system that is intended to be put on to a new or retrofit building project is available. The imperfections and traits of a normal polished concrete floor are evident in this appealing, authentic concrete surface. The longest dimension of an object in geometric terms is its distance. International System of Quantities.

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The drawing forces will be the same because the drawing process can be thought of as a series of incremental reductions taking place in a single die.

The pull on the exit section and the friction forces acting along the tube-mandrel interface transmit draw force to the metal. The drawing forces will be the same unless the surface of the rod changes due to external effects such as the environment or additional lubrication while it is between the two dies. There is also increased reduction on a single die.

Ideally, a die can cut into several segments and make it a tandem process. Also, in a tandem operation, the front tension of one segment becomes the back tension of another.

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Due to traveling in a spacecraft in outer space in a straight line at a constant speed of 0.850c, an astronaut experiences:  she would feel heavier, her heart rate would change, some of the dimensions of her spacecraft would be shorter.

The theory of special relativity explains how speed affects space, time, and mass. Small amounts of mass (m) can be interchangeable with large amounts of energy (E), as defined by the classic equation E = mc^2, according to the theory, which offers a means for the speed of light to define the link between energy and matter.

When talking about extremely high energy, incredibly fast speeds, and astronomical distances without the difficulties of gravity, special relativity is typically employed.

The mass of an object and the energy needed to move it both grow unlimited as it gets closer to the speed of light. This implies that no substance can move more quickly than light does.

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Answer:

The period of a simple pendulum is the time it takes for the pendulum to complete one full swing. This is equal to the reciprocal of the frequency, which means that if the frequency of a simple pendulum is 0.263 Hz, its period would be 1/0.263 = 3.80 seconds. This is the time it would take for the pendulum to swing back and forth once at the same location on the Earth's surface.

Explanation:

Nitrogen belong to the group 15/5a period 3. It is also  Known as pnictogen family .

Any chemical element in group 15 of the periodic table is a pnictogen. Group 15 is often referred to as the nitrogen family or group. Nitrogen, phosphorus, arsenic, antimony, bismuth, and moscovium make up group 15.

A row of chemical elements makes up a period in the periodic table.

In the periodic chart of chemical elements, a group is a column of elements.

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Statement A. The sun is located at one focus is true about the foci of a planet in an elliptical orbit (option A).

An elliptical orbit can be defined as any movement of a celestial body in which the attained object (for example a planet around its star) moves in an eccentric manner or oval-shaped way, which is a feature of the planets in the solar systems including the Earth planet.

The movement of a planet in an elliptical orbit is called an ellipse, while two points that are selected chosen at the start site are known as foci in such orbits.

Therefore, with this data, we can see that an elliptical orbit is an excentric movement of a celestial body such as the earth's planet around the sun, and foci are called to fixed points located inside this orbit.

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Each point is at 1-sec time interval, So velocity will be 20 m/s downward at point F.

Kinematics is a branch of classical mechanics that studies the motion of points, objects, and groups of things without addressing the causes of motion. Kinematics is derived from the Greek word "kinesis," which means "motion."

Kinematic equations are a collection of equations that explain an object's motion with constant acceleration. Integrals, rates of change, and derivatives must be understood in order to solve kinematics problems.

Given that Initial speed of ball = V₁= 30 m/s at point A

Now V₂ = -20 m/s [(-)ve sign since final velocity is downward]

a = acceleration due to gravity = - 10 m/s², So

Using 1st kinematic equation:

V₂ = V₁ + a × t

t = (V₂ - V₁)/a

t = [(-20) -30] / (-10) = 5 sec

So velocity of ball will be 20 m/s in downward direction after 5 sec.

Since each point is at 1-sec time interval, So velocity will be 20 m/s downward at point F.

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True. When a voltage source is connected to a capacitor, it causes a redistribution of electrons within the capacitor. The voltage source drives the flow of electrons from one plate of the capacitor to the other, causing a separation of charge between the plates. This separation of charge is what gives rise to the electrical potential energy stored in the capacitor.

When charging a capacitor, the voltage source drives the flow of electrons from the negative terminal to the positive terminal. This flow of electrons is opposed by the capacitor, which acts like a resistor to the flow of current. As a result, the capacitor begins to charge up and the voltage across the capacitor increases until it reaches the voltage of the voltage source. At this point, the capacitor is fully charged and the flow of current stops. The charge on the capacitor can then be used to power an electrical circuit or to store electrical energy for later use.

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In this case, the magnitude of the momentum of vehicle 2 is greater than the vehicle 1.

What is momentum?

In Newtonian mechanics, an object's mass and velocity are combined to form momentum, more precisely linear momentum or translational momentum. It has both a magnitude and a direction, making it a vector quantity.

The kilogramme metre per second (kg m/s), or newton-second in the International System of Units (SI), is the unit used to measure momentum.

The rate of change of a body's momentum is equal to the net force exerted on it, according to Newton's second law of motion. Although momentum varies depending on the frame of reference, it is a conserved quantity in any inertial frame, which means that if a closed system is not impacted by outside forces.

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The speed of the car at point A is 16 m / s, and the velocity at point B is 24.83 m / s.

Speed is the measure of how quickly a moving object changes its distance traveled. It follows that since speed is a scalar, it is a measurement with a magnitude but no direction.

Something that moves quickly and at a high speed, covering a lot of distance quickly. An object moving slowly at a low speed, on the other hand, travels a comparatively short distance in the same amount of time. A thing moving at zero speed doesn't move at all.

Given:

The mass of the car, [tex]m = 826\ kg[/tex],

The initial speed, [tex]u = 16\ m/s[/tex]

(a)  The Potential energy [tex](P)[/tex] at point A is the same as the initial because the height of the car is the same.

So, the velocity at point A = 16.0 m/s

(b) Calculate the total energy at the point [tex]E_A = mgh + (1/2)m\times v_A^2 = 833\times 9.81\times 43 + 0.5\times 833\times 16^2[/tex]

[tex]E_A = 432408.39 J[/tex]

And total energy at point [tex]E_B = mgh/2 + (1/2)m\times v(B)^2 = 833\times 9.81\times 43/2 + 0.5\times 833\times v_B^2[/tex] = [tex]E_B =175692.20 + 416.5\times v_B^2[/tex]

Solve the equations,

[tex]432408.39 = 175692.20 + 416.5\times v_B^2[/tex]

[tex]v_B = 24.83 m/s.[/tex]

Therefore, the speed of the car at point A is 16 m / s, and the velocity at point B is 24.83 m / s.

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Venus has the longest time from sunrise to sunset, if a measuring instrument is placed at the planet's equator, so option 2 is correct.

A planet is a celestial body that revolves around the Sun, has enough mass to overcome rigid body forces and take on a hydrostatic stability shape (nearly round), and has cleared the area in and around its orbit.

The diurnal cycle on Mars is remarkably similar to that on Earth. 24 hours, 37 minutes, and 22 seconds comprise its sidereal day, whereas 24 hours, 39 minutes, and 35 seconds add up to its solar day. Thus, a Martian day (known as "sol") is about 40 minutes longer than an Earthly day.

Venus rotates once every 243 days on Earth. The day on Venus is longer than its orbit.

The smallest and nearest planet to the Sun in the Solar System is Mercury. It is the Sun's planet with the shortest orbital period, taking 87.97 Earth days.

Therefore, Venus has the longest time from sunrise to sunset, if a measuring instrument is placed at the planet's equator.

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At a distance r from a charge e on a particle of mass m the electric field value is  8.9876 × 10⁹ N·m²/C². Divide the magnitude of the charge by the square of the distance of the charge from the point. Multiply the value from step 1 with Coulomb's constant.

Magnitude can be defined as the maximum extent of size and the direction of an object.

It is used as a common factor in vector and scalar quantities, as we know scalar quantities are those quantities that have magnitude only and vector quantities are those quantities have both magnitude and direction.

There are different ways where magnitude is used Magnitude of earthquake,  charge on an electron, force, displacement, Magnitude of gravitational force

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The maximum height reached while running is calculated to be 0.75m.

The formula for the maximum height of the projectile motion is given by

H = u² (sin θ)²/2g

where, θ is the angle made with the horizontal

H is the maximum height reached

g is the acceleration due to gravity

u is the initial velocity

Given that, u = 6 m/s

g = 10 m/s²

θ = 40°

Substituting the above values, we have,

H = u² (sin θ)²/2g = 6² * (sin 40°)² / 2 * 10 = 36* 0.414/20 = 0.75 m

Thus, the maximum height reached while running is 0.75m.

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On the celestial sphere, a large circle contains all of the Milky Way's stars. This enormous circle is known as the milky circle. The Milky Way Galaxy is a massive spiral structure with several hundred billion stars, including the sun.

The Milky Way galaxy, which contains our solar system, gets its name from how it appears in the night sky from Earth: a hazy strip of light made up of stars that are too close together to be seen separately.

An astronomical object known as a star is made up of a bright plasma spheroid that is held together by gravity. The Sun is the star that is closest to Earth. Other stars are also visible at night with the unaided eye, but because of their great distances from Earth, they appear as stationary points of light.

Hence, On the celestial sphere, a large circle contains all of the Milky Way's stars. This enormous circle is known as the milky circle. The Milky Way Galaxy is a massive spiral structure with several hundred billion stars, including the sun.

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Answer: The third law.

Explanation: