a 90.0-kg man is standing on a scale in an elevator that is accelerating upward at 2.00 m/s2. what will be the scale reading? a. 696 n ob. 788 n oc947 n od. 883 n oe. 1,060

Answer:

11 m/s?

Explanation:

The question is not clear, but I am assuming that it is asking for the velocity of a bus traveling for 220 meters in 20 seconds.

You are Given:

Displacement (d) : 220m (in this question, since there is no change in direction, the distance and displacement is the same)

Time (t) : 20 seconds

You want to Find:

Velocity: ???

Equation to use:

velocity = displacement/time

aka. v = d/t

Now just Solve:

v = d/t

v = 220m/20s

v = 11 m/s

The upward force exerted by the elevator floor on the passenger is 7.6 times mass of the passenger.

A force in physics is an effect that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given in question elevator accelerates downwards with an acceleration of 1.2 m/s². There is acceleration due to gravity working downward which is 9.8 m/s².

So, net acceleration due to gravity is given as 9.8 - 1.2 = 7.6 m/s²

The upward force exerted by the elevator floor on the passenger is mass times acceleration, 7.6 times mass of passenger.

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The answer is true about the cabins in commercial airliners that require pressurization.

Airplanes are pressurized because the air is very thin at the high altitude where they fly. The passenger jet has a cruising altitude of about 30,000 - 40,000 feet. At this altitude or height, humans can't breathe very well and our body gets less amount of oxygen. Most aircraft cabins are pressurized to an altitude about 8,000 feet. This is called cabin altitude. Aircraft pilots have access to the control's mode of a cabin pressure control system and if needed it can command the cabin to depressurize.

So we can conclude that cabins in commercial airliners require pressurization because of the greater pressure of the surrounding environment.

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a) The velocity of stone after 7 seconds is 1.62 m/sec.

b) The velocity of the stone after it has risen 25 m is  -[tex]\sqrt{17}[/tex]

a) h(t) = 10t - 0.83[tex]t^{2}[/tex]

   velocity = [tex]\frac{dh}{dt}[/tex](t) = 10 - 2*0.83*t

   [tex]\frac{dh}{dt}[/tex] (7) = 10 - 2*0.83*7

            = 1.62 m/sec

The stone after 7 seconds is 1.62 m/sec

b) h(t) = 25

    10t - 0.83[tex]t^{2}[/tex]  = 25

    t = 50/83 (10 + [tex]\sqrt{17}[/tex])

    [tex]\frac{dh}{dt}[/tex] = 10 - 2*0.83*(50/83)(10 + [tex]\sqrt{17}[/tex])

         = 10 - (10 + [tex]\sqrt{17}[/tex])

          = - [tex]\sqrt{17}[/tex] m/sec.

The stone after it has risen 25 m is  - [tex]\sqrt{17}[/tex] m/sec.

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Answer:

490.5

Explanation:

Force = Mass × Acceleration

Since, Weight is a force and 'g' is the acceleration due to the earth's gravity,

Weight = Mass × g

Weight = 50 kg × 9.81 m/s² = 490.5 kg-m/s² or 490.5 N

Flywheel's average angular acceleration is +0.42 radian per second square.

Angular acceleration is the rate of change of angular velocity and is denoted by "a".

Rate at which an object revolves or rotates about an axis is known as angular velocity and is denoted by "w".

Initial Angular velocity is denoted as w1 and final angular velocity is denoted as w2.

So, according to the equation of rotational motion,

w2= w1+at

Where t is the time

When we put the values given in this equation

=  +2.97= -6.75+ a×23.1

=  +2.97+6.75=a×23.1

=  9.72= 23.1×a

So, a= +0.42

Rate of change of angular velocity of flywheel is +0.42.

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Answer:

22.9 minutes

Explanation:

Distance = Speed x Time

We want the time to go 16 miles at 42 miles/hour (mph).

16 miles = (42 mph)*T

T = 16 miles/(42 miles/hr)

Time = 0.381 hours

(60 minutes/hour)*(.381 hours)= 22.9 minutes

(a)- The Inductance of the given coil is 6.10mH.

(b)- The rate of the current for which the coil will produce an emf of 70mV is 11.47 A/s

Solution: -

Given

Radius of the coil = 4.10cm

Number of turns of the coil = 480 Turns

Length of the coil = 25 cm

(a)

Inductance of the coil = µ * (N^2) * (A/L)

Inductance = 4π x 10^-7 * (480)^2 * π *( 0.041m)^2 /0.25m

Inductance = 1.256 x 10^-6 * (480)^2 * π  *(0.041)^2 /0.25m

Inductance= 1.52* 10^-3/0.25

Inductance= 6.10mH

(b)

Δi/Δt = emf/Inductance

Δi/Δt = 70 x10^-3/6.10mH

Δi/Δt= 11.47 A/s

Therefore the inductance of the coil is denoted as 6.10mH and the rate at which the current will flow the coil to give an emf of 70mV is 11.47 A/s.

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Answer: 12

Explanation:

The resultant vector is  12 unit.

When two vectors point in the same direction, their sum is equal to the total of their respective magnitudes pointing in the same direction.

When two vectors are pointed in opposite directions, the resultant vector is pointed in the direction of the larger vector and is equal to the difference between their magnitudes.

Here, one vector of 15 unit is acting to the left and another vector of 3 unit acting rightwards. As they are acting in opposite direction, vector summation of two vector will be equal to the value of subs traction of their magnitude.

So, Resultant vector= 15 unit + (-3 unit)

= 15 unit - 3 unit

= 12 unit.

Hence, the resultant vector will be 12 unit.

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To find the resultant force we will first find the component force of the forces given, to do this, we need to remember that any vector can be express in component form by:

For force u we notice that its magnitude is 280 N and its angle is zero, then we have:

For force v we know that its magnitude is 135 N and its angle is 45°, then we have:

Now that we have both vectors in component form we add them to get the resultant in component form:

Once we have the resultant force in component form we can find its magnitude and direction if we remember that they are given by:

Plugging the values we found for the components we have:

and

Therefore, the magnitude of the resultant force is 387.41 N and the direction is 14.27°

The equation for a machine's efficiency is Efficiency = Output energy / Input energy * 100

Efficiency = ( Output energy / Input energy ) * 100

The efficiency of an ideal machine is 100% where Output energy is equal to  Input energy. The efficiency cannot be greater than 100% in any machine. Because work done by the machine cannot be more than the work done on the machine.

The efficiency of a machine in real world is always less than 1 because some of the input energy is lost as friction or heat in any type of machine. So the ideal machine is possible in real world applications.

Therefore, the equation for a machine's efficiency is Efficiency = Output energy / Input energy * 100

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Answer:

The maximum amount of kinetic energy the skateboarder can have is entirely dependent on the amount of potential energy of the system.

Explanation:

As the skateboarder moves, her potential energy is converted to kinetic energy (KE), or the energy of motion as her position changes along the track and the velocity changes.

Answer:

Explanation:

Kinetic energy turned into internal energy.

Potential energy has not changed.

Mechanical advantage is a measure of the ratio of the output force produced to the input force applied in a system, mainly in the case of simple machines, such as levers and pulleys. It is a dimensionless quantity.

From the definition, the mechanical advantage of a simple machine is inversely proportional to the input force applied on the system. So, an increase in this force decreases the mechanical advantage of a simple machine.

For example, the mechanical advantage of a lever can be decreased by increasing the force on load arm or by reducing the force on the effort arm.

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It tells us that a toy has a mass of 3.0 kg, with a speed of 4.0 m/s.

We apply the following formula:

Ec = m * v²/2

We replace data and solve:

Ec = 3.0 kg* (4.0 m/s)²

Ec = 3.0 kg* 16 m²/s²/2

Ec = 48 kg * m²/s²/2

Ec = 24 kg * m²/s²

Ec = 24 N * m ========> Joules units

Ec = 24 J

Answer:

x=3

-9x+4= -8-5x

+5x +5x

-4x+4= -8

-4 -4

-4x= -12

/-4. /-4

x=3

The reference frame in which the bat is at rest immediately before the collision is the reference frame in which translational (nonconvertible) kinetic energy is greater.

As translational (nonconvertible) kinetic energy is greater when the bat is at rest because when it will be at rest the mass will be more. The translational dynamic energy of a body is rise to one-half the item of its mass and the square of its speed.

The translational kinetic energy depends on movement through space, and for an inflexible body of consistent mass, it rises to the item of half the mass times the square of the speed.

The movement of an unreservedly falling body could be a translational active vitality. Kinetic rangy at a pivoting fan is rotational kinetic energy.

In material science, the dynamic energy of a protest is the vitality that it has due to its movement. It is characterized as the work required to quicken a body of a given mass from rest to its expressed speed.

Having picked up this vitality amid its speeding up, the body keeps up this motor vitality unless its speed changes. The same sum of work is done by the body when decelerating from its current speed to a state of rest.

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The momentum of an 7.2 kg bowling ball rolling at 3 m/s is 21.6 kgm/s.

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A.

Smooth-skinned earthworms have a body made up of numerous tiny segments. The lines designating the segments are visible on the body. Each segment possesses tiny, stiff hairs that aid in the worm's movement; occasionally, the hairs are difficult to perceive. They lack a skeleton yet have a large number of muscles.

B.

Because they lack lungs, earthworms breathe through their skin. For dissolved oxygen to enter their bloodstream, their skin must be damp. The mucus-coated skin of earthworms makes them dependent on a wet, moist environment to survive.

C.

The earthworm's characteristic crawling movement is caused by the action of muscles in the body wall. These lengthen and shorten the body in wavelike motions. Four pairs of tiny hard bristles on each segment help the worm grip the ground and hold onto the side of the burrow.

D.

Blackbirds, robins, and song thrushes are ground feeders, and for them, a worm is the only food that compares to it in taste. Large eyes and powerful bills let all of them to see in the early morning light, when earthworms are most active close to the surface. Their strong bills also allow them to pull struggling earthworms from the soil.

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The total displacement would be 110m.

The total distance is 50 m + 30 m + 30 m = 110 m. The displacement is the shortest route from the starting point. It is solved using vectors.

What is Displacement?
Displacement is a vector quantity which depends on the direction of motion but distance is a scalar quantity which just sums up all the given quantity values. The displacement is simply the difference between the locations of the two markers and is unrelated to the route used to get there. It is a vector quantity that has a direction and magnitude.

Hence, the total displacement if you walk 30m East and 50m North would be 110m.

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Answer:

58.31 meters northeast

Explanation:

The displacement can be modeled into the vector equation of [tex]\displaystyle{\vec s = 30\hat x + 50\hat y}[/tex]. We can find the magnitude of displacement by applying Pythagoras Theorem. Suppose we have a two-dimensional vector equation [tex]\displaystyle{\vec v = a\hat x + b\hat y}[/tex] then the magnitude of vector is [tex]\displaystyle{|\vec v\, | = \sqrt{a^2+b^2}}[/tex].

Therefore, the magnitude of displacement is:

[tex]\displaystyle{|\vec s\, | = \sqrt{30^2+50^2}}\\\\\displaystyle{=\sqrt{900+2500}}\\\\\displaystyle{=\sqrt{3400}}\\\\\displaystyle{\approx 58.31 \ \sf m}[/tex]

Since 30 meters east and 50 meters north form northeast direction then the displacement is 58.31 meters northeast.

Italian astronomer, physicist, and engineer Galileo di Vincenzo Bonaiuti de' Galilei was sometimes referred to be a polymath.

Galileo asserted that the length of a pendulum affects how long it takes to swing through a full cycle.

A weight suspended from a pivot such that it can freely swing is called a pendulum. Gravity exerts a restoring force on a pendulum that causes it to accelerate back toward its equilibrium position when it is sideways from its resting position.

A pendulum is a tool for tracking periodic motion. It is made out of a string that is fastened to a sturdy structure. Typically, a pendulum swings from side to side when it is shifted through a tiny angle.

The length of the pendulum determines how long it takes for it to swing through one full cycle. The "period of the pendulum" is when things happen.

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The speed of the approaching smaller fish before lunch is 6m/s.

The entire distance that an object travels in a predetermined amount of time is the definition of speed.

Given that the speed v₁ of big fish is 1 m/s and mass m₁ is 6kg. The mass m₂ of small fish is 1 kg.

Both fish have linear momentum of,

p₁ = m₁v₁ + m₂v₂

Where,

p₁ is the initial linear momentum

v₂ is the speed of the small fish.

Since both fish are traveling in the same direction and v is their ultimate meeting velocity, the final linear momentum will be given as,

p₂ = (m₁ + m₂) v

Linear momentum is held constant hence,

p₁ = p₂

m₁v₁ + m₂v₂ = (m₁ + m₂) v

The fish's final speed will be zero because they stopped moving., so

m₁v₁ + m₂v₂ = 0

v₂ = - m₁v₁/m₂

v₂ = -6×1/1

v₂ = -6

The negative symbol indicates that the tiny fish are swimming against the current.

The speed of the approaching smaller fish before lunch is 6m/s.

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Given that, the soccer player makes a displacement r = 7.7 m from the goal.

The distance between this player and the second player is [tex]r_{y}[/tex], and the distance between the second player and the goal is [tex]r_{x}[/tex]. The angle made by the first player with the goal is θ = [tex]30^{0}[/tex] east of south.

The magnitudes of [tex]r_{x}[/tex] and  [tex]r_{y}[/tex] can be determined using the trigonometric rules.

r is the hypotenuse of the triangle formed (as shown in figure in the question), and [tex]r_{x}[/tex] is the side of triangle which is opposite to the angle θ = [tex]30^{0}[/tex]. So, [tex]r_{x}[/tex] = r sinθ = 7.7m × sin(30°) = 3.85 m.

[tex]r_{y}[/tex] is the side of triangle adjacent to the angle θ = [tex]30^{0}[/tex]. So, [tex]r_{y}[/tex] = r cosθ = 7.7m × cos(30°) = 5.445 m.

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Coherent light at this frequency passes through a single slit with an interval width equal to the effect of each of the following changes on the width of the central bright spot on the screen. reduce gap width

Two wave sources are coherent if they have the same frequency and waveform. Interference is an ideal property of waves that allows for fixed interference. The central bright band of the single slit diffraction pattern is generated by constructive interference from all secondary sources.

The width of the center band is inversely proportional to the slot width. Coherence is a fixed ratio between wave phases in a beam of radiation of one frequency. The wavelengths of two rays are coherent when the phase difference is constant. Inconsistent if there are random or changing phase relationships. When two waves are monochromatic and in phase, they are said to be coherent. A coherent source is one that generates those waves. With the help of these waves, you can study the properties of the light path. For this purpose, one beam is transmitted along the intended track, and the other is transmitted to the control test.

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The magnitude of the rod's angular momentum is 165.92 [tex]Kg m^{2} s^{-1}[/tex].

The moment of inertia for the rod through an axis 'perpendicular' to one of its ends is given by :

[tex]I=\frac{Ml^{2} }{3}[/tex]                 (where M = mass of rod , l = length of rod)

Now, the angular momentum of the rod is given by;

L= Iω

  = [tex]\frac{Ml^{2} }{3}[/tex]×ω

  =[tex]\frac{12.7Kg * (3.15 m^{2})}{3}[/tex]* [tex]3.95 rad s^{-1}[/tex]

  = 165.92 [tex]Kg m^{2} s^{-1}[/tex]

∴ The required angular momentum is: 165.92 [tex]Kg m^{2} s^{-1}[/tex]

As the rotating equivalent of linear momentum in physics, angular momentum (rarely a moment of momentum or rotational momentum) is used. It is a conserved quantity, meaning that in a closed system, the total angular momentum stays constant, making it a significant physical quantity. The magnitude and direction of angular momentum are both conserved. The conservation of angular momentum is responsible for the useful characteristics of bicycles, motorcycles, frisbee-lead bullets, and gyroscopes. Hurricanes develop spiral structures and neutron stars rotate rapidly due to the conservation of angular momentum. Conservation generally sets a limit on a system's potential motion but does not determine it in any way.

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The average tangential acceleration of the club during the downswing is 113.79 rad/s².

Centripetal acceleration is due to the change within the direction of tangential speed, whereas tangential acceleration is due to any trade inside the value of the tangential speed.

The tangential acceleration is while the rotational velocity adjustments, that is 0 for uniform circular motion. while vector speed adjustments path however not important. for this reason Tangential acceleration =zero. Angular acceleration is the trade in angular velocity divided by using time, whilst tangential acceleration is the change in linear speed divided through time.

given,

∆ ω = 33 rad/s

∆t = 0.29 sec

α = (change in ω)/(change in t)  

   α = 33 rad/s / 0.29 s = 113.79 rad/s²

tangential acceleration = r α = 1.88*113.79 = 213.93 m/s2

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The initial acceleration of the rocket at the given thrust is 1.3 m/s².

The initial acceleration of the rocket is determined by Newton's second law of motion. This law states that the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

where;

The initial lunch force = 1015 kN = 1,015,000 N

The mass of the rocket = 780 tonnes = 780,000 kg

a = F/m

a = (1,015,000) / (780,000)

a = 1.3 m/s²

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The magnitude of electromotive force is 232.5 volts.

We need to know about the electromotive force of induction to solve this problem. The emf induction appears when there is any change in magnetic flux. The magnitude of emf can be determined by

ε = N dΦ / dt

where N is coil turns, ε is electromotive force, dΦ is change in magnetic flux and dt is time interval.

From the question above, the parameters given are

N = 62

A/t = 0.25 m² / 0.1 s

t = 0.1 s

B = 1.5 T

By substituting the given parameters, we can calculate electromotive force

ε = N . dΦ / dt

ε = 62 . B . A / t

ε = 62 . 1.5 . 0.25 / 0.1

ε = 232.5 volts

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A student is pulling a wagon and records the force vs time values in the table, then the acceleration of the wagon would remain constant, therefore the correct answer is option D.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem if a student is pulling a wagon and records the force vs time values in the table,

As the Force of the pulling is constant and assuming the mass of the wagon to be constant the acceleration of the wagon would not change.

Thus, the correct answer is option D.

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The question is incomplete, the complete question is,

A student is pulling a wagon and records the force vs time values in the table, which of the following will also remain constant for the wagon

A. Displacement

B. velocity

C. Momentum

D. Acceleration

Given that the number of hailstones is n = 562

The mass of hailstone is m = 2 g = 0.002 kg

The speed of hailstone is v = 5.8 m/s

The time taken will be t = 92 s

The angle is

We have to calculate the force.

The force can be calculated by the formula

Substituting the values, the force will be