a 40-kg crate is being lowered with a downward acceleration is 2.0 m/s 2 by means of a rope. (a) what is the magnitude of the force exerted by the rope on the crate? (b) what would be the magnitude of the force exerted by the rope if the crate were being raised with an acceleration of 2.0 m/s 2?

The answer is 82.32N

The difference in the tension between the lowest and highest points on the circle is solved here below.

Force is to be known for this problem.

What is force?

In physics, force is the push or pull that an object feels when its mass causes it to change its velocity. An external force has the ability to change a body's resting or moving state. It moves and has a size.

What constitutes speed?

the speed at which the position of an object is shifting, in any direction. Speed is defined as the product of the distance traveled and the time needed to cover that distance. Since speed simply has a focus and no magnitude, it is a scalar number.

2T cos∅ =μg

⇒ if weight (μg)

rises

⇒∅ increases

⇒ cos∅ decreases

⇒T increases

⇒F will also increases

But ∴ Cos 90° = u

⇒ not possible.

Therefore, the force is to be needed.

Learn more about force from the given link.

https://brainly.com/question/388851

#SPJ4

Astronomers can study how clusters of stars and gas move around the galactic center in nearby galaxies and use those movements to calculate the mass of the central black hole.

By monitoring the star motions in the galaxy's center, Webb will calculate the black hole's mass. Astronomers will calculate the mass of that black hole using NASA's James Webb Space Telescope. The outcome may appear to be unimportant, but a black hole's mass controls how it feeds and interacts with its surroundings.

Black holes are discovered when nearby material, such as gas, is pulled by gravity into a disk around the black hole. The gas molecules in the disk of the black hole are spinning so quickly that they heat up and release X-rays. From Earth, one can observe these X-rays.

To know more about  galaxies visit:

https://brainly.com/question/24836631

#SPJ4

A 1,400 kg airplane encounters a 200 newton headwind that slows it down. if the airplane was originally traveling 230 m/s .  It take 12 minutes for the headwind to slow the airplane to 120 m/s

Force = mass * acceleration

- 200 N = 1400 * ( change in speed / time interval )

- 200= 1400 * (120 - 230 / time )

-200 = 1400 * ( -110 / time )

time = 770 seconds = 12 minutes

It take 12 minutes for the headwind to slow the airplane to 120 m/s

To learn more about force here :

https://brainly.com/question/7362815

#SPJ4

The rms voltage will be 82.7 v

"RMS" stands for Root Mean Square and is a way of describing the amount of AC voltage or current in terms that are functionally equivalent to DC. For example, 10 Volts AC RMS is the amount of voltage that will produce the same amount of heat dissipation in a given value resistor as a 10 Volts DC power supply.

The root mean square (rms) voltage of a sinusoidal source of emf (Vrms) is used to characterize the source. It is the square root of the square of the time-averaged voltage. The value of Vrms is v₀/√2 or equivalently 0.707 v₀

For the given question:

At the same time interval same heat is produced. Therefore, power in both DC and AC will also be same.

So the rms voltage will be:

= 117.0/√2

= 117.0 × 0.7071

= 82.7 v

To know more about rms voltage visit:

https://brainly.com/question/11627481

#SPJ4

The T.A.R.D.I.S. travels 5026.6 m while slowing down.

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second

Initial speed of the Doctor; u = 406.36 m/s .

Final speed of the Doctor; v = 1035.99 m/s.

Time taken =  6.97 s.

So, average speed = ( initial speed + final speed)/2

= (406.36 + 1035.99)/2 m/s.

= 721.175 m/s.

Hence,  the T.A.R.D.I.S. travels while slowing down = average  speed × time

= 721.175 m/s × 6.97 s.

= 5026.6 m.

Hence,  the T.A.R.D.I.S. travels 5026.6 m while slowing down.

Learn more about speed here:

https://brainly.com/question/28224010

#SPJ1

Answer:

1.785  m

Explanation:

Without the worker the scaffolding produces 300N tension in each rope

  if worker is in the middle, each rope will support 1/2 of worker's weight (325 N)    for a total of 625 N <==== so worker will be pretty close to middle for tension of 660 N

 Need 360 N   in addition to 300N board

       360 * x   =  290 ( 4-x)    

           x = 1.785 meters from an end

    Well ....that is kinda the 'intuitive approach'.....maybe this way will be more clear:

The moments around one end have to be = 0 or the plank will move

  from the left end moments:

        600 ( 2.000) + 650 ( x)  = 660 (4.000)

            x = 2.215 m from left end    or    1.785 m from R end  (that has the 660 N tension)

magnetic field caused by the combination of wires to cancel out, the current will flow in a direction . The current will therefore move in the other direction,. The outside wire is experiencing a 15.83 A current.

The electric current formula, I=V/R, can be used to determine how much current is flowing. The "current equation," as it is commonly known, is derived from Ohm's Law. The variable "I" denotes current, "V" denotes voltage, and "R" denotes resistance.

Electron movement is referred to as electron current. The positive terminal receives electrons that are released by the negative terminal. Traditional current, usually referred to as just current, exhibits behavior consistent with positive charge carriers being the source of current flow. A positive terminal receives normal current, which then travels to a negative terminal.

To know more about current visit:

https://brainly.com/question/3110787

#SPJ4

According to Newton’s first law of motion, we reasonably expect a stationary object will remain at rest or a moving object will have a uniform motion (have constant velocity) in a straight line.

Newton's first law of motion states, if there are no actions of an external force or forces, that are balanced, every object will remain at rest or in uniform motion in a straight line path. The formula ∑F = 0 with ∑F the external forces.

This law call law of inertia. Example

Learn more about Newton's first law here: https://brainly.com/question/10454047

#SPJ4

Amplitude modulated (AM radio) carrier frequencies lie in the frequency range 535 to 1605 kHz. Carrier frequencies from 540 to 1600 kHz are assigned in 10 kHz increments.

So for the maximum wavelength, the speed of light divided by the minimum frequency of FM, which is 88 megahertz, is 3.41 meters. The minimum wavelength is 10 to the power of 8 meters divided by 108 megahertz. Therefore, FM wavelengths are between 2.78 meters and 3.41 meters. Since they are electromagnetic waves, they travel at the speed of light and their wavelength is given by the relationship ν = c/λ. where c is the speed of light. The wavelength of a 1,000 kHz radio wave is (2.998 × 108 m/s)/(1.000 × 106/s) = 299.8 m.

Learn more about wavelength here-

https://brainly.com/question/13533093

#SPJ4

Robin started at point a. she walked 4m south, then 8m east, then 4m north, then 8m west so that she was back at point a. if her walk took 5 minutes her velocity in meters per minute is 0.96.

Displacement = distance / time = 24m/5 = 4.8

Velocity = displacement / Time = 4.8/5 = 0.96m/min

Its scientific definition and velocity are presumably similar. You are aware that a significant displacement over a short period of time indicates a large velocity, and that velocity has measures of distance / time, like miles/hour or kilometers/hour.

The change in position divided by the distance travelled is the definition of average velocity. However, the average speed of an object tells us nothing about what happens to it between the starting and finishing points. For instance, average velocity does not allow us to determine whether a passenger in an airplane briefly stops or reverses before relocating to the rear of the aircraft. We must consider shorter distances travelled over shorter times in order to obtain more information.

Learn more about Velocity here:

https://brainly.com/question/18084516

#SPJ4

If a ball is tossed horizontal at a speed of 7.9 m/s, it will travel 4.8 meters (horizontally).

Teenagers, young adults, and others take various stimulant medications collectively referred to as "speed" to feel more focused and alert, as well as occasionally to get high. Additionally, some people take various forms or speed to suppress their appetite.

Relativistic speed is the rate at which relativity effects matter for the desired level of measurement precision of the phenomenon being examined. Relativistic effects are the differences between values calculated using models that take relativity into account and those that do not.

To know more about relativistic speed visit:

https://brainly.com/question/28224010

#SPJ13

Acceleration : a. F=ma, mg cos(90°-θ)= ma, g cos (90°-θ)= a, g sin(θ) = a, g sin(30°)= a

b. v= u+(a*t), u=0, v= (a*t), v= ( g sin(30°) * 15 ).

What is Acceleration?

If an object's velocity changes, it is said to have been accelerated. An object's velocity can change depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, and a car stopped at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both.

Therefore, the acceleration and velocity are solve.
To learn more about this click on the link
https://brainly.com/question/605631
#SPJ13

Using Ohm's Law and the power formula, V² / R is derived.

Simple harmonic motion is a particular kind of periodic motion in which the restoring force on the moving item is directly proportionate to the size of the displacement and acts in the direction of the object's equilibrium position. The force driving the movement is always pointed in the direction of the equilibrium position and is inversely proportional to the separation from it. F = kx, where F is the force, x is the displacement, and k is a constant, is what this means. Hooke's law is the name of this relationship. This varying acceleration, which is always pointed in the direction of the equilibrium position and is proportionate to the displacement from the equilibrium position, is what distinguishes simple harmonic motion.

Power(P) = Potential difference (V) × Current (I)

So

Now by ohm's law

I =V/R

On substituting the value of current in the equation

P=VI

We get

P= V × V/R

P=V² / R

To know more about Simple Harmonic Motion, visit:

https://brainly.com/question/14586609

#SPJ1

the required equation for centripetal force is F = k m¹ v¹ r⁻¹.

A particle traveling uniformly in a circle experiences a centripetal force, F, which is dependent on the mass (m), velocity (v), and radius (r) of the circle.

the F formula using the dimensions method is

Suppose F = k mᵃvᵇrⁿ. (i)

Where a, b, and n are the respective powers of m, v, and r and k is the dimensionless constant of proportionality.

Upon putting the measurements of various amounts in (i)

we get

[M¹L¹T‐²] = Mᵃ[LT‐¹]ᵇ Lⁿ

=> [M¹L¹T‐²] = Mᵃ Lᵇ Lⁿ T⁻ᵇ

=> [M¹L¹T-²] = Mᵃ Lᵇ⁺ⁿ T⁻ᵇ

on comparing both sides we get

a = 1

b+n = 1

-b = -2 => b = 2

Then n = -1

Onputting these values in (i),

we get

F = k m¹ v¹ r⁻¹

Or

F=k(mv²)/r

This is the required equation for centripetal force.

Learn more about centripetal force here:

https://brainly.com/question/14021112

#SPJ1

an advantage that liquid water has as a biological solvent compared to other alternatives IS, when it freezes it becomes less dense. it is a liquid over a wide temperature range and remains liquid at higher temperatures. It is able to dissolve many things

A solvent is a molecule that has the ability to dissolve other molecules, known as solutes. A solvent can be solid, liquid or gas. The molecules of the solvent work to put the solute molecules apart. Eventually, the molecules of solute become evenly distributed in throughout the solvent. This homogenous mixture is perfectly even, and cannot be separated physically. Heat or another chemical process must be applied to the solution to separate the solvent and solute.

Molecules in general have two classes, polar and nonpolar. Polar molecules have separated electrical charges on different sides of the molecule. Nonpolar molecules, while they can fluctuate in charge, do not carry a static charge. Both es of molecules can act as solvents, as described below.

learn more about biological solvent:https://brainly.com/question/5010130

#SPJ4

Mv is equal to m - 2.5 log(d/10)2. There is a minus sign in the expression because stars distant than 10 pc have Mv that is more negative than m. Make careful you provide the star's given distance in parsecs (1 pc = 3.26 ly = 206265 AU) if you use this formula.

The moon can appear to be nearly -13 magnitude bright, the moon can appear to be -6 magnitude bright, and stars can get as bright as nearly -1.5 magnitude.

The star's actual magnitude is determined by subtracting its apparent magnitude by five times the trigonometric parallax of its distance from the star.

First-magnitude stars have apparent magnitudes less than +1.50, making them the brightest stars in the night sky. In the first century B.C., Hipparchus invented the magnitude scale. He assigned first magnitude to the 20 brightest stars and sixth magnitude to the stars that are faint enough to be seen with the unaided eye.

To know more about star's average absolute magnitude, click on the link below:

https://brainly.com/question/29352099

#SPJ4

The helium-stuffed ball is surely transferring against the direction of what looks like gravity.

The equal thing that it does while you're not in an accelerating body. It does that for the equal motive: buoyancy because of being lighter than air. The air inside the vehicle has a higher density inside the back of the car than it does inside the front. this means that the net pressure on the balloon due to collisions with the air will be in the ahead path.

The balloon does the other to something your body could do. for that reason, if the car comes to rest the balloon moves toward the return. The secret is that the balloon is filled with helium (He) and you are made of stuff a great deal heavier than air.

Learn more about acceleration here:- https://brainly.com/question/29110429

#SPJ4

One watermelon cracked on the pavement while the other one is intact when dropped on the grass lawn because of the momentum transfer.

A wave contains momentum and could be a vectorial amount. The contrast between the momentum of the scattered wave to the occurrence wave is called momentum transfer.

In Newtonian mechanics, energy (more particularly straight energy or translational momentum) is the item of the mass and speed of a question.

It may be a vector amount, having a size and a course. If m is an object's mass and v is its speed (moreover a vector amount).

In the Universal Framework of Units (SI), the unit of estimation of energy is the kilogram meter per moment (kg⋅m/s), which is identical to the newton-second.

When an object hits the ground, the energy exchanged from the protest to the ground indeed is its momentum transfer.

Learn more about momentum transfer in dropping objects at

https://brainly.com/question/24030570

#SPJ4

Solar energy is defined as the conversion of energy that is present in the sun and is one of the renewable energies.

Solar energy can be divided into two categories depending on how it is converted and the type of energy it is converted into.

To know more about Solar energy,

https://brainly.com/question/28302617

#SPJ4

The initial speed of the block is 0.648 m/s

Define distance?

Distance is a quantitative or qualitative measurement of the distance between two objects or places. Distance can refer to a physical length or an estimation based on other factors in physics or common use (e.g. "two counties over"). Because spatial cognition is a rich source of conceptual metaphors in human thought, the term is also used metaphorically to mean an estimation of the amount of difference between two similar objects (such as statistical distance between probability distributions or edit distance among strings of text) or a degree of separation (as exemplified by distance between people in a social network). The concept of a metric space is used to codify most such conceptions of distance, both physical and metaphorical.

Given;

mass of block, m = 15 kg

force constant k = 3600 N/m

compression , x = 0.052 m

kinetic energy = elastic potential

¹/₂mv² = ¹/₂kx²

mv²  = kx²

v=√Kx^2/m

where;

v=initial speed of the block

x=compression of the spring

v=√3600 x (0.052)^2/15

v=0.648m/s

the initial speed of the block was 0.648 m/s

To learn more about distance follow the given link: https://brainly.com/question/11400512

#SPJ4

The object's kinetic energy is proportional to its mass.

By doubling the mass kinetic energy the roller coaster car's kinetic energy is also doubled.

In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a given velocity. Unless the body's speed changes, it retains its kinetic energy after gaining it during acceleration. The body does the same amount of work when slowing down from its current speed to rest. Formally, kinetic energy is any term in a system's Lagrangian that includes a time derivative.

Gottfried Leibniz and Johann Bernoulli established the principle in classical mechanics that by describing kinetic energy as the living force, vis viva. The Netherlands' Willem's Gravesande provided experimental evidence of this relationship.

To know more about kinetic energy, visit:

https://brainly.com/question/26472013

#SPJ4

The power that firefighter needed to reach the top of the building in 55s is equal to  463.3 Watts.

Power can be described as the rate of doing work and is also defined as the work done in unit time. The S.I. unit of power is Joule/second or Watt (W). The mathematical expression for power is mentioned below.

Power = work/ time

P = W/ t

Given, the height of the building, h = 20 m

The total mass of the firefighter and backpack, m =  85 + 45 = 130 Kg

The time taken to reach the top, t = 55 sec

The power that will be needed can be determined as:

[tex]{\displaystyle {P = \frac{m\times g\times h}{t}[/tex]

[tex]{\displaystyle {P = \frac{130\times 9.8\times 20}{55}[/tex]

P = 463.3 Watt

Therefore, with the power of 463.3 Watts, a firefighter will reach the top in 55s.

Learn more about power, here:

brainly.com/question/14070854

#SPJ1

The distance the barrel sinks (in cm) after this additional weight is added is  108.6 cm

An object floats when the weight pressure on the object is balanced by the upward push of the water at the object. The upwards push of the water will increase with the extent of the item this is below water; it isn't tormented by the intensity of the water or the quantity of water.

Calculation:-

m = 30 kg

Fb ----- Bouyance force = ρgVd

Vd = volume  inside water

Fb = mg

 ρ v ₓ g = mg

1000 ×π/4 (0.9)²X₁ = m ---------------(1)

V = π/4(0.9)²X₁

After the person has stepped

Fb = ( 70 × 9.8 + 30 × 9.8)

1000 × π//4 (0.9)² × X₂ = 100 ------ (2)

(2) -(1)

 1000 × π/4*(0.9)² × (X₂ - X₁) = 1-- - 30

  (X₂ - X₁) = 1.086 m

Therefore the distance the barrel shrinks = 108.6 cm

Learn more about floating here:-https://brainly.com/question/1030329

#SPJ4

The system's internal energy change (E) must equal the sum of the heat transferred (q) and the work performed (w), as stated in the first law of thermodynamics: E = q + w..

Work and heat do not have a state function.

The first law of thermodynamics states that the change in a system's internal energy is equal to the total of heat and work.

ΔU = w+q

ΔU = modification of internal energy

q= heat

W= work

ΔU=qv

Accordingly, qv is a state function in this scenario since qv stands for q measured at constant volume.

additional circumstance steady pressure

W = pΔV

Work on the environment (expanding) or the surrounds is working on the system (compressing), which results in a new state function called ΔH and a change in enthalpy.

Heat is a change in energy rather than a quantity of energy that is contained because heat q is the amount of thermal energy that enters or exits the system throughout a process.

Work is another phrase for an energy transformation. the environment's good influence on the system or the environment's detrimental influence on the system ( negative)

The path functions q and w

However, q+w combined is a state function.

To know more about sum of heat and work, click on the link below:

https://brainly.com/question/8828503

#SPJ4

The speed of the longitudinal wave is given or computed as 1.584 or approximately 1.6m/s.

A wave is a propagating dynamic disturbance of one or more variables in physics, mathematics, and related sciences. Periodic waves occur when values oscillate repeatedly about an equilibrium value at a certain frequency.

Longitudinal waves are those in which the medium's vibration is parallel to the wave's travel direction and the medium's displacement is parallel to the wave's propagation direction.

A longitudinal wave is an example of one. P-waves of ultrasonography from earthquakes

Compression, rarefaction, wavelength, amplitude, period, and frequency are all important characteristics of a longitudinal wave.

To estimate the above answer multiply wavelength and frequency to get the speed of a wave.

That is:

2.4 x 0.66

= 1.584

If the frequency is not given, one can divide 6 crests by 9.1 seconds to determine the frequency.

Learn more about longitudinal  waves:
https://brainly.com/question/2463407
#SPJ1

Answer:

100

Explanation:

The smaller pebble leaves the slingshot with a speed of 500 m/s.The mass of the larger pebble 25 times more mass compare to that of the smaller pebble.

In Both the cases work done by the elastic band is same i.e

WLarger  = WSmaller

(1/2)MLargerVLarger2 = (1/2)MSmallerVSmaller2

MLarger/MSmaller = (VSmaller/VLarger)2

MLarger/MSmaller =(500/100)2 =25

Teenagers, young adults, and others utilise various stimulant medications collectively referred to as "speed" to feel more focused and alert, and occasionally to get euphoric. Additionally, some people take various forms of speed to suppress their appetite. You lack brute force, intimidation, and might without speed. Simply for show and to assist friends who are moving large pieces of furniture, they are useless. The good news is that speed can be improved with the right physical preparation. The velocity of a body or object determines the direction of its motion. Speed is often measured as a scalar value. The most basic definition of a vector quantity is velocity. It gauges the rate at which a distance varies. It relates to the speed at which displacement is altering. Its velocity is the speed at which something is travelling in a particular direction.

Learn more about speed here:

https://brainly.com/question/28224010

#SPJ4

Explanation

a) The velocity will never be zero. The velocity at the highest point of the projectile will be the smallest, equal to the horizontal component of the initial velocity.

b) The velocity will be zero when the kinetic energy is zero. When kinetic energy is at its lowest, potential energy is at its highest. Because potential energy is greatest at the highest point, velocity is greatest at the highest point.

c) Because a constant force of gravity acts on the projectile at all times, velocity will never be the same as initial velocity.

d) When the bullet bounces back and strikes the ground, the speed equals the initial speed (at t = 0), because the height is zero and the kinetic energy is equal to the initial energy.

To learn more about velocity, refer to

https://brainly.com/question/24681896

#SPJ4