Newtons Second Law

An elevator is moving up at a constant velocity of 2.5 m/s, The passenger has a mass of 85kg.
a. Construct a free body diagram for the passenger.
b. Calculate the force the floor exerts on the passenger.

The elevator now accelerates upward at 2.0 m/s^2.
a. What additional force is needed to accelerate the passenger at that acceleration? what is the direction of this force?
b. Construct a free body diagram for the passenger

Upon reaching the top of the building, the elevator accelerates downward at 3.0 m/s^2.
a. how much net force is needed to accelerate the passenger at 3.0 m/s^2? What does this do to the normal force?
b. Construct a free body diagram for the passenger, with the magnitude of each force labeled.
While descending in the elevator, the cable suddenly breaks. How big is the force on the passenger by the floor? Explain your answer.

Answer:

72kJ

Explanation:

The formula of kinetic energy is as said:

\(KE = \frac{1}{2} mv\) or, \(K = \frac{p^{2} }{2m}\) where \(P = m * v\)

Given that m = 1,000kg and v = 12,000kg, we have:

K = (12,000)² / 2(1,000)

K = 72,000 J or, K = 72 kJ.

Answer:

Recycled answer from jaskhanna07343

Explanation:

Water does not wet waxed surfaces because the cohesive forces within the drops are stronger than the adhesive forces between the drops and the wax. Water wets glass and spreads out on it because the adhesive forces between the liquid and the glass are stronger than the cohesive forces within the water

Answer:

2480km

Explanation:

Answer:

8 m/s²

Explanation:

Centripetal acceleration formula:

As you can see, the mass of the yo-yo is not relevant to this problem.

We are given that the velocity of the yo-yo is 4 m/s.

The radius of the circle formed by the yo-yo on a 2-meter long string is 2 meters.

Substitute these known values into the equation.

The centripetal acceleration of the yo-yo is 8 m/s².

The formula for horizontal distance is x = Vx * t, where t is the time. The formula for vertical distance from the ground is y = h + Vy * t - g * t2 / 2, where g is the acceleration of gravity.

What is the free fall equation?

Where g is the acceleration of gravity, vf is equal to g * t. On Earth, the value of g is 9.8 m/s/s. The velocity of the object after being dropped from rest for any given period of time can be calculated using the aforementioned equation.

How is height determined?

At the spot where the ruler, book, or other flat object meets your head, lightly mark the wall with a pencil. Measure the distance from the floor to the mark on the wall using a tape measure, preferably one made of metal that will stay straight.

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Answer:

\(mgh = \frac{1}{2} m {v}^{2} \\ v = \sqrt{2gh} \\ = \sqrt{2 \times 9.8 \times 10} \: m. {s}^{ - 1} \)

The time between retrogrades as viewed from Earth is longer than the orbital period of the planet.

The time it takes for a planet to complete one orbit around the Sun is its orbital period. In this case, the planet takes 0.8 years to complete one orbit. However, the time between retrogrades, which is the period between two consecutive retrograde motions of the planet as viewed from Earth, is longer than the orbital period.

When observing a planet from Earth, retrograde motion occurs when the planet appears to move backward in its orbit relative to the fixed stars. Retrogrades happen as a result of the difference in orbital speeds and the relative positions of Earth and the planet.

Due to these factors, the time it takes for the planet to return to the same apparent position as seen from Earth, including the retrograde motion, is longer than its orbital period.

The specific time between retrogrades can vary depending on the relative positions of Earth, the planet, and the Sun. The retrograde periods for different planets can range from a few weeks to several months, but it is always longer than the planet's orbital period.

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Answer:

A. 45 degrees

Explanation:

Answer:

A. 45 degrees

Explanation:

A projectile travels the farthest when it is launched at an angle of 45 degrees.

The maximum range is 45 degrees, ignoring air resistance.

sin(2θ) = 1

∴ 2θ = π/2.

(2θ)/2 = (π/2)/2

θ = π/4

π/4 or 45°

The ranking of the buoyant forces on the weighted balloon in water, from greatest to least, is as follows:

c. Pushed 2 m beneath the surface (highest buoyant force)

b. Pushed 1 m beneath the surface

a. Barely floating with its top at the surface (lowest buoyant force)

Let's consider the scenarios mentioned and rank the buoyant forces on a weighted balloon in water from greatest to least:

a. Barely floating with its top at the surface:

In this scenario, the balloon is floating at the water's surface, with only a small portion of the balloon submerged. The buoyant force is equal to the weight of the water displaced by the submerged portion of the balloon, which is relatively small. The top part of the balloon is exposed to air, so it doesn't contribute to buoyancy. The buoyant force in this case is relatively low.

b. Pushed 1 m beneath the surface:

When the balloon is pushed 1 meter beneath the surface, more of the balloon becomes submerged. As the depth increases, the volume of water displaced by the balloon also increases. The buoyant force on the balloon becomes greater than in scenario (a), as a larger volume of water is displaced by the balloon. Therefore, the buoyant force in this case is higher than in scenario (a).

c. Pushed 2 m beneath the surface:

When the balloon is pushed 2 meters beneath the surface, even more of the balloon becomes submerged, displacing an even larger volume of water. The buoyant force further increases compared to scenarios (a) and (b) because a greater volume of water is displaced by the balloon. Therefore, the buoyant force in this case is the highest among the three scenarios.

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The resultant vector of 1. 130N and 2.  155 N respectively.

A resultant vector is described as a single vector that produces the identical effect as is produced through a number of vectors collectively.

1. 100 N, 37° east of north + 100 N 60°North -west

Let Force₁ = 100 N sin37°

                  = 100 N × 4/5

                  = 80 N North

      Force₂ = 100 N cos 60°

                  = 100 N × 1/2

                  = 50 N

Now, the angle between F₁ and F₂ is 0

Resultant force = \(\sqrt {F₁^{2} +\sqrt F₂^{2} + 2abcos°}\)

                         = \(\sqrt{(80)^{2} +(50)^{2}+2*80*50}\)

                        = \(\sqrt{6400+2500+8000}\)

                        = \(\sqrt{16900}\)

                         = 130N

2.  100N, 37° west of north + 50N,53° east of north

   Force₁ = 100N, 37° west of north

                =100N cos 37°

               = 100N × 5/4

               = 125 N north

  Force₂ =  50N,53° east of north

               = 50N cos 53°

                = 50N × 3/5

                = 30N

The angle between F₁ and F₂ is 0°

Resultant force = \(\sqrt {F₁^{2} +\sqrt F₂^{2} + 2abcos°}\)

                           = \(\sqrt{(125)^{2} +(30)^{2}+2*125*30}\)

                         = \(\sqrt{15625+900+7500}\)

                        = \(\sqrt{24025}\)

                         = 155 N

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On a wall 1.47 m away from the grating, the central and first-order principal maxima are separated by 0.562 m. The laser light's wavelength is 674 nm.

The principal maxima are defined by dsinθ=mλ, where m=0,1,2,…

For m=1,λ=dsinθ

The angle between the central maximum (m=0) and the first order maxima (m=1) in this case is called. The value of can be calculated using the data provided on the separation between maxima and the grating-to-screen distance:

tanθ= 0.562/1.47m =0.382

So θ=22.457°

 and sinθ=0.382

The distance between grating "slits" equals the reciprocal of the number of grating lines per centimeter

d= 1/5660 cm⁻¹ = 0.0001766784=1.766*10³ nm

The wavelength is λ=dsinθ=(1.766*10³nm)(0.382)=674nm

A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in metres (m), centimeters (cm), or millimeters (mm) (mm). It is more common to specify the wavelength in nanometers (nm), which are units of 10-9 m, or angstroms (), which are units of 10-10 m, for infrared (IR), visible light (VL), ultraviolet (UV), and gamma radiation ().

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It is true that the spongy bone is composed of osteocytes

The spongy bone is also called as cancellous bone or trabecular bone. It is commonly found in animals. It is porous and vascularized. It contains red bone marrow. It is commonly located at the end of a long bone and is surrounded by a compact bone.

The functions of spongy bone is as follows:

Therefore, it is true that the spongy bone is composed of osteocytes

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Evidence that Earth's magnetic field has undergone numerous reversals can be found in several geological records and observations. Some of the key sources of evidence include:

1. Magnetic Reversal Recorded in Rocks: The Earth's magnetic field leaves an imprint on rocks as they form or cool down. Certain rocks, such as volcanic rocks and sedimentary rocks containing magnetic minerals like magnetite, preserve the direction and intensity of the magnetic field at the time of their formation. By studying the magnetization of these rocks, scientists have identified instances where the magnetic field has reversed its polarity, with the north and south magnetic poles swapping places.

2. Oceanic Magnetic Stripes: As new oceanic crust is formed at mid-ocean ridges through volcanic activity, it records the prevailing magnetic field at the time. Basaltic rocks in the oceanic crust contain magnetic minerals that align with the Earth's magnetic field as they solidify. Over time, as new crust forms and spreads, symmetrical patterns of magnetic stripes are created on either side of mid-ocean ridges.

3. Magnetic Anomalies: By mapping the Earth's magnetic field using instruments like magnetometers, scientists have identified regions on the seafloor where the magnetic field strength deviates from the expected values. These magnetic anomalies correlate with the pattern of magnetic stripes and provide further evidence of past magnetic reversals.

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When thinking about ecosystems, the statement "energy cycles and material flows" is useful to know.

Ecosystems are composed of living organisms, such as plants and animals, as well as the non-living components of the environment, such as air, water, and minerals.

Energy and materials are essential for the survival of these organisms, and their cycling within the ecosystem is critical for maintaining the balance and health of the ecosystem.

Energy is captured by plants through photosynthesis, and this energy is then passed through the food chain as animals consume other organisms.

Material, such as nutrients, is also cycled through the ecosystem. Nutrients are absorbed by plants, and as these plants are consumed, the nutrients are passed along to other organisms.

Decomposers break down dead organisms and recycle their nutrients back into the ecosystem. These cycles of energy and materials ensure that the ecosystem remains healthy and balanced, and disruptions to these cycles can have serious consequences.

For example, if a species of plant is removed from an ecosystem, the animals that rely on that plant for food will suffer, and the ecosystem may become imbalanced.

Similarly, if pollutants are introduced into the ecosystem, they can disrupt the natural cycles of energy and materials, causing harm to the organisms that rely on these cycles for survival.

In conclusion, understanding the cycling of energy and materials within an ecosystem is essential for maintaining the balance and health of the ecosystem.

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Energy flows are the movement of energy through an ecosystem, while material flows are the movement of matter, such as carbon and nitrogen, through an ecosystem.

These two processes are interconnected and essential for the functioning of ecosystems. `Energy cycles are responsible for the transfer of energy from one organism to another within an ecosystem. This is achieved through processes such as photosynthesis, respiration, and decomposition. Material flows, on the other hand, involve the movement of nutrients and other essential elements through an ecosystem. This includes the cycling of water, carbon, and nitrogen, which are necessary for the growth and survival of living organisms.In conclusion, understanding energy cycles and material flows is critical to understanding the functioning of ecosystems. These processes are essential for the transfer of energy and nutrients through an ecosystem, and they play a crucial role in maintaining the delicate balance of life on Earth.

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Answer:

I = 16amp

Explanation:

Charge coulomb ( Q ) = It

Where I =current in ampere

t = time = 5 seconds

80 = I × 5

I = 80/5

I = 16amp

The current through the circuit will be I = 16amp

Answer:

223.25 \($\text{Jm}^{-1}\text{s}^{-1}^\circ\text{C}^{-1}$\)

Explanation:

The thermal conductivity of an object is defined as the measure or the ability of the object to transfer heat or conduct heat through its body.

In the context, the thermal conductivity of the material is given as

\($=129 \text{ Btu ft}^{-1}\text{h}^{-1}^\circ\text{F}^{-1}$\)

And it is given that :

1 Btu = 1055 J

1 ft = 0.3048 m

\($1^\circ F = \frac{5}{9}^\circ C$\)

We know that 1 h = 3600 s

So the thermal conductivity of the material in \($\text{Jm}^{-1}\text{s}^{-1}^\circ\text{C}^{-1}$\) is  :

Thermal conductivity :

\($=\frac{129 \text{ Btu}}{1 \text{ ft }\times \text{1 h}\times 1^\circ\text{F}}$\)

\($=\frac{129 \times 1055 \text{ J}}{0.3048 \text{ m} \ \times 3600 \text{ s}\ \times \frac{5}{9}^\circ \text{C}}$\)

=  223.25 \($\text{Jm}^{-1}\text{s}^{-1}^\circ\text{C}^{-1}$\)

According to Plumbing 101 principles governing blood flow through the vessels, the statement "Flow depends on pressure difference, but not the absolute pressure" is true.

In the context of Plumbing 101 principles, blood flow through the vessels can be understood by applying the laws of fluid dynamics. According to these principles, the statement that holds true is that flow depends on pressure difference, but not the absolute pressure.

Pressure difference refers to the variance in pressure between two points in a fluid system. In the case of blood flow, it refers to the pressure difference between the point of origin (such as the heart) and the destination point (such as organs or tissues). The pressure difference creates a driving force for blood to flow from higher pressure regions to lower pressure regions.

While the absolute pressure at the origin and destination points may affect the overall pressure difference, it does not directly impact the flow rate of blood. Flow is primarily determined by the pressure difference rather than the absolute pressure at the specific points. Other factors, such as the diameter of the vessel, viscosity of the blood, and the resistance offered by the vessel walls, also influence blood flow.

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Answer:

d = st

Explanation:

The d stands distance. The formula for speed = distance/ time.

Distance is speed times time, d= st. Distance can be measured in km or meter. Time can be measured into seconds or minute.

The SI unit of speed is m/s. It can also be expressed in different units such as m/s, km/ hr and miles/ hr.  The dimentional formula of speed is [ LT1 ]. Speed tells us how fast the body is moving.

The formula for speed is useful to find out the speed of different objects such as speed of car, bike, bus. etc.

Therefore, The d stands distance. The formula for speed = distance/ time.

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Ek=kinetic energy  (J)

m=mass of object (Kg)

v=speed of object  (m/s)

We have the following formula:

Ek=(1/2)mv²   ⇒ m=2(Ek)/v²

In this case:

m= mass of the child + mass of the bike

m=30 kg + m₁       (m₁=mass of the bike).

We would have to modify our formula like this:

m=2(Ek)/v²

m=30 kg + m₁

30 kg +m₁=2(Ek)/v²

m₁=2(Ek)/v²-30 kg

We have the following data:

v=0.6 m/s

Ek=12.4J

m=30 Kg + m₁

Therefore:

m₁=2(Ek)/v²  - 30 kg

m₁=2(12.4 J)/(0.6 m/s)²  - 30 kg

m₁=24.8 J/(0.36 m²/s²)  -30 kg

m₁=68.89 Kg - 30 kg

m₁=38.89 Kg

Answer: the mass of the bike is 38.89 Kg.

Answer:

Newtons/Coulomb

Explanation:

Electric field exerts a force on an electric charge.  So its unit is force divided by charge; i.e. Newtons/Coulomb

Answer:   Natural stone

Explanation:

Answer:

Natural stone

Explanation:

The most common natural stones used to make countertops include granite, marble, soapstone, and slate.

Answer:

B) the dramatic background picture that beautifies the graph

Explanation:

Chart junk is extra features that do not contribute to the data presented.

By substituting the expressions into Maxwell's equations and simplifying, we can obtain the following wave equations: k×B = -ωε₀E + iσE

Starting with Maxwell's equations in differential form:

Gauss's Law for electric fields:

∇⋅E = ρ/ε₀

Gauss's Law for magnetic fields:

∇⋅B = 0

Faraday's Law of electromagnetic induction:

∇×E = -∂B/∂t

Ampere's Law with Maxwell's addition:

∇×B = μ₀J + μ₀ε₀∂E/∂t

where E is the electric field, B is the magnetic field, ρ is the charge density, J is the current density, ε₀ is the permittivity of free space, μ₀ is the permeability of free space, and t represents time.

Assuming a plane wave propagating in the z-direction with angular frequency ω, we can express the fields as:

E = E₀e^(i(kz - ωt))

B = B₀e^(i(kz - ωt))

where E₀ and B₀ are the complex amplitudes of the electric and magnetic fields, respectively, and k is the wave vector.

By substituting these expressions into Maxwell's equations and simplifying, we can obtain the following wave equations:

(k⋅E) = 0

(k⋅B) = 0

k×E = ωμ₀B

k×B = -ωε₀E + iσE

where σ is the conductivity of the medium.

These wave equations describe the propagation of a plane wave in an extended medium with conductivity σ, permittivity ε, and permeability μ. The equations illustrate the interplay between the electric and magnetic fields, as well as their coupling through the conductivity and permittivity of the medium.

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Answer:

idont know but it probably changed wen he tell um to

Answer:

It controls the amount of current.

Explanation:

A resistor helps control and maintain the circuit which is it's main function.

The distance between the two charges is 3.12 m.

The distance between the two charges is determined by applying Coulomb's law of electrostatic force.

F = kq₁q₂ / r²

where;

The distance between the two charges is calculated as;

r² = kq₁q₂  / F

r = √ ( kq₁q₂  / F )

r = √ ( 9 x 10⁹ x 40 x 10⁻⁶ x 108 x 10⁻⁶ / 4 )

r = 3.12 m

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Answer:

i) Power = Force * Velocity = 1100 * 15 = 16500 W = 16.5 kW(ii)  Find the value of k first: F = 400 + k(15^2)                                              k = 28/9    F = 400 +(28/9)(30^2) = 320

Explanation:

Answer:1.03 g/cm³

Explanation:To find the density of milk, we need to divide the mass of the milk by its volume.

Given:

Mass of milk = 51.5 g

Volume of milk = 50 cm³

Density = Mass / Volume

Density = 51.5 g / 50 cm³

Density = 1.03 g/cm³

formula for density is d = M/V, where d is density, M is mass, and V is volume, hence if M = 51.5 g and V = 50 cm³

\(d = \frac{m}{v} \\ d = \frac{51.5}{50} = 1.03 \frac{g}{cm³} \)

Answer:

a cell and connector ( wire)

Explanation:

types of circuit are

I. open

Ii. closed

The landscaper uses 75.00 joules of work to move the lawn mower.

Work is the product of force and displacement, in the direction of the force.

Given that the landscaper uses a force of 15.00 N to push a lawn mower, the amount of work done depends on the distance the mower is pushed.

If we assume that the mower is pushed a distance of 5 meters, the work done can be calculated as follows:

Work = force x distance x cos(theta)

where theta is the angle between the force and the direction of displacement, which we assume to be zero degrees in this case. Therefore, the work done can be calculated as:

Work = 15.00 N x 5 m x cos(0) = 75.00 J

Therefore, the landscaper uses 75.00 joules of work to move the lawn mower.

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