What is the initial speed of a shopping cart if it ends up going 20 m/s in 4 seconds, and has an acceleration of 2 m/s^2?

Answer:

c. Free body diagram

Explanation:

Free-body diagrams are diagrams used to show the relative magnitude and direction of all forces acting upon an object in a given situation.

Answer:

250N

Explanation:

weight of object - air resistance= net force

weight=mg

=30×10

=300N

air resistance =50

300-50=250

Insulators can by charged only by friction.

An electrical insulator is a cloth wherein electric powered modern-day does no longer drift freely. The atoms of the insulator have tightly certain electrons which can not quite simply move. Other substances—semiconductors and conductors—conduct electric modern greater effortlessly.

Insulators are used in electric system to help and separate electrical conductors with out allowing current thru themselves. An insulating material utilized in bulk to wrap electrical cables or other gadget is known as insulation. The time period insulator is likewise used greater specially to consult insulating supports used  to utility poles and transmission towers.to attach electric powered strength distribution or transmission lines

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The velocity of sound in helium gas is 968 m/s if the spacing between resonances is 110cm.

We have to go from antinode to antinode. In an air column, the spacing between resonance is wavelength /2 as we have to go from antinode to antinode.

wavelength = 220 cm = 2.2m

As we know the velocity formula

Then Velocity = f * λ

Where f is the frequency and λ is the wavelength.

So Velocity of wave = 440 * 2.2 = 968m/s

Hence, the velocity of sound in helium gas is 968 m/s if the spacing between resonances is 110cm.

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It is typical for people in hypnotic trances to temporarily begin speaking languages they do not know .

Option a is correct

Although hypnosis is frequently described as a sleep-like condition, it is actually better described as a state of sharpened focus, increased suggestibility, and vivid fantasies. People who are hypnotized frequently appear tired and disoriented, yet they are actually hyperaware.

Our brain waves must slow down in order to enter a trance. Throughout the course of the day, people alternate between several brain wave states. Different stages of the brain wave include sleeping, daydreaming, and being fully alert and focused.

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electric force would a proton experience at the same point is .156 × 10⁻¹⁹ N/C.

Electric field :

The electric field is the amount of electric force per charge, and the electric force on a charge at a given point in space is the amount of charge multiplied by the electric field at that location.

E = F/q

where,

E = electric field

F = force

q = charge

A force experienced by an alpha particle = 0.250N

E = F/q

E =  0.250 /1.6 × 10⁻¹⁹

E = 0.156 × 10⁻¹⁹ N/C

electric force would a proton experience at the same point is .156 × 10⁻¹⁹ N/C.

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An inelastic collision between two objects is characterized by the fact that a) the total momentum of the system is conserved. Choice A is correct

Inelastic collisions are the collisions in which the kinetic energy is lost. The momentum of the system is conserved in inelastic collisions, but kinetic energy is not. This is because some of the kinetic energy was transferred to another.

Suppose two similar cars are approaching. They collide, but the sled is equipped with a magnetic clutch so that when they collide they combine into a single agglomerate. This type of collision is completely inelastic as the maximum possible kinetic energy is lost. This does not mean that the final kinetic energy of the system is necessarily zero. Momentum is not yet maintained.

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A description of Benson's real-life problem that has to be solved is below:

Benson, a final year medical student shared a reflection of his past problems before gaining admission into the higher institution.

I have cried countless times as a result of my failures in the past. Sometimes when I was still in my high school, I was too overconfident in myself as to the level of my intelligence in class. This continued to the extent at which I stopped attending classes and at the end all these, I was shocked to receive the news that I had failed GSCE results.

I was mocked by all and sundry and humiliated. I repeated this exams for 5 years. Solving this problem made me remain on a fixed point and became a tool of fixation of failure to myself and those that were following my footsteps back in highschool.

Thank goodness for my father who stood by me in all my trials and injected me with alot of belief perseverance that I will come out of this problem and live my dream of becoming a medical doctor. Finally, I conquered the situation after many years and later continue my pursuit to apply for medicine and surgery in higher institution.

So therefore, it can be deduced from all said and done above that: you are what has happened to you. Take responsibility for your problems.

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The speed of Mike and his bike before hitting the ramp is 4.48 m/s.

The acceleration of Michael and his bike is determined by applying Newton's second law of motion as follows.

According this law, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

a = F/m

where;

a = (456) / (136)

a = 3.35 m/s²

The speed of Mike and his bike before hitting the ramp is calculated as follows;

v² = u²  + 2as

where;

v² = 0 + 2(3.35)(3)

v² = 20.1

v = √20.1

v = 4.48 m/s

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Answer:372

Explanation:

Answer:

Explanation:

is there a diagram of the question?

The parallel component of the total weight is 320 N and the perpendicular component of the total weight is 554.3 N.

The components of the total weight of the builder and the new roof tile which may be of two types, i.e. parallel components or perpendicular components.

The parallel component and new roof tiles can be calculated as;

Fn ( parallel ) =  W sin ( θ )

where;

W is the total weight

θ is the slope or angle of inclination of the total weight

So,

Fn ( parallel ) =  640 sin ( 30 )

Fn ( parallel ) = 320 N

The perpendicular component and new roof tiles is calculated as follows;

Fn ( parallel ) =  W cos ( θ )

where;

W is the total weight

θ is the slope or angle of inclination of the total weight

So,

Fn ( perpendicular ) =  640 cos ( 30 )

Fn ( perpendicular ) = 554.3 N

Thus, the parallel component of the total weight is 320 N and the perpendicular component of the total weight is 554.3 N.

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Your question is incomplete, most probably the complete question is :

The weight of the builder and new roof tiles is 640 N. The slope is at 30 degrees on the given diagram. Draw a diagram to calculate the components of the total weight parallel and perpendicular to the slope of the roof.

Answer:

11.56 m/s

Explanation:

The momentum of the ball is transferred into the pin so the transfer of momentum has the formula, m1*v1 = m2 * v2

substituting the values,

5.1 * 3.40 = 1.5 * V2

17.34 = 1.5 * V2

V2 = 17.24 / 1.5

V2 = 11.56 m/s

If the power is quadrupled, The amplitude changes by factor of 2 means double.

The greatest displacement or distance moved by a point on a vibrating body or wave from its equilibrium position. It is one-half of the length of the vibration path.

Given,

If the amount of power applied to the string is quadrupled.

The power transmitted by a sinusoidal wave on a stretched string formula is,

P=[tex]1/2[/tex](μω²A²v)

Where μ mass per unit length

ω=angular speed

A= amplitude  

v=wave speed  

P=power delivered.

We only need two terms in this case: power and amplitude.

P∝ A²

For our problem, all other quantities are constant.,

A= k √P

Where k= constant

Power is quadrupled here, which means four times.,

A=√4P

A=2√P

Changing the amplitude by a factor of two means doubling.

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The speed of the ball is 192m/s. The long of the ball is 2.85s.The height of the ball is 2.13m.

A)The speeds at these points are equal since the starting position and the point at which it touches the ground have the same elevation. Solving the product of the horizontal and vertical velocities yields the final speed. Which is

vf=√(V[tex]ox[/tex])²+(V[tex]oy[/tex])²

vf=√(23m/s)²+(14m/s)²

vf=192m/s

B)Take into account the starting point and the highest point, respectively.

We are aware that the vertical velocity is zero at the highest point. Additionally, we are aware that the duration of the flight from start to finish is twice as long.

So, we'll apply the formula t=v[tex]f[/tex]-v[tex]o[/tex]/a

   t=2(v[tex]top[/tex]-v[tex]o[/tex])/a

    t=2(0m/s-14m/s)/-9.81m/s

t=2.85s

C)Using the formula, the highest height that can be reached can be determined.(v[tex]f[/tex])²=(v[tex]0[/tex])²+2ay

This is how the maximum height is determined:

                    (v[tex]f)[/tex]²=(v[tex]0)[/tex]²+2ay

                    y[tex]max[/tex]=(v[tex]top[/tex])²-(v[tex]o[/tex])²÷2a

    y[tex]max[/tex]=(0m/s)²-(14m/s)²÷2(-9.81m/s)²

            =2.13m

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Acceleration: 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.

Three different accelerated motion types exist: average acceleration, non-uniform acceleration, and uniform acceleration.

a = F / m

1 N = 1 kg•m/s²

F = ma; where F = force in newtons (N), m = mass in kg, and a = acceleration in m/s².

Known and Unknown

F = 3000 N = 3000kg•m/s²

m = 1200 kg

a = F/m

a = (3000 kg•m/s²)/(1200 kg)

Kilograms cancel.a =  2.5m/s²

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The final velocity (in m/s) of a hoop that rolls without slipping down a 5.00-m-high hill, starting from rest will be 31.30 m/s

given

initial velocity = 0

displacement = s = 50 m

using kinematics equation

2as = [tex]v^{2} - u^{2}[/tex]

2* (g) * s = [tex]v^{2}[/tex] - 0

[tex]v^{2}[/tex]  = 2 * (9.8) * 50

v = 31.30 m/s

The final velocity will be v = 31.30 m/s

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It is a diagram with the parts of the rainforest labeled

The magnitude of the magnetic field of the wave at this same point in space and instant in time is 1.67 × 10 ⁻⁸ T

The direction of the electric field is pointing in the positive x direction and the direction of propagation of the wave is in the positive z direction. Therefore, the direction of the magnetic field is in the positive y direction. Because in an electromagnetic wave, the direction of the electric field, the direction of wave propagation, and the magnetic field all lie perpendicular to each other.

According with the right-hand rule, the thumb points within the route of the current, the hands factor inside the course of the magnetic subject, and the resulting pressure at the charge points outwards from the palm. The pressure on a negatively charged particle is inside the opposite path.

Calculation:-

B₀ = E₀/c

   = 5 / 3 × 10⁸

The magnitude of the magnetic field is equal to = 1.67 × 10 ⁻⁸ T

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The angle of incline of the plane is 65.9°.

A basic device called an inclined plane with a sloping surface is used to lift heavy objects. Even after accounting for friction, the force needed to lift an object up an incline is less than the weight being raised. The needed force approaches the real weight closer with a greater slope or gradient.

m = 5000 kg

F =force by air

Diameter of circle

D = 1000m

R = D/₂ = radius of circle

Fcosθ =mg----1

Fsinθ = mw² R

Fsinθ = mw² R---2

from 1 and 2 ( divide 2 by 1)

tanθ = w² R/g = 4 πR/T²g

tanθ = 4 π 500/30²×9.8

tanθ = 29.236

θ = tan⁻¹(29.236) = 65.9°.

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Answer: As soon as it leaves the barrel.

Explanation:

A bullet fired from a rifle begins to fall immediately upon leaving the barrel. Despite its initial forward momentum, the bullet is subject to the force of gravity.

The gravitational force acts vertically downward and causes the bullet to accelerate downward due to its free fall. However, due to its initial high velocity, the bullet's downward acceleration is minimal compared to its forward motion. As a result, the bullet follows a curved trajectory known as a ballistic trajectory.

Over time, the effects of gravity become more significant, causing the bullet to gradually descend and eventually hit the ground, following a parabolic path.

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it's 115/6 which is 19.1667

Explanation:

The weight would be 115/6 because the moon has one sixth of the gravity on earth so the weight would be on sixth of that on earth.

The baseball will require longer time and the bowling ball will require  more effort to be stopped.

The bowling ball and baseball is moving with same momentum.

Let us say the momentum of the bowling ball is MV and the momentum of the baseball is mv.

According to second law of newton,

F = ΔMV/Δt

F = MΔv/Δt

So, the force is directly proportional to the speed of the object.

The speed of the bowling ball will be less than that of the baseball because the mass of the bowling ball is more and the mass of the baseball is less.

So, a greater force will be required to stop the baseball ball,

F = mΔv/Δt

v is more and the contact period Δt of the transfer of momentum is less so baseball will require longer time and a grater force will be required to stop the bowling ball because the speed is less.

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The frequency of the given mass is 0.31Hz.

Frequency:

the term frequency refers to the number of waves that pass a fixed point in unit time. It also describes the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.

Here we have to find the frequency.

Formula to find the frequency:

f = ω /2π

ω = [tex]\sqrt{\frac{k}{M} }[/tex]

   = [tex]\sqrt{\frac{190}{50} }[/tex]

    = 1.95

Now putting the values we have

f = 1.95/ 2π

  = 0.31 Hz

Therefore the frequency is 0.31Hz.

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The time taken for the train of mass 1.4 107 kg to reach the speed of 60 km/h is  362.39 seconds

Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.

Calculation:-

mass of the train = 1.4 × 10⁷ kg

constant force F = 6.5  × 10⁵ N

Using Newton's second law

F = ma

a = F/m

  = 6.5  × 10⁵ N /1.4 × 10⁷ kg

  =  0.046 m/s²

This acceleration accelerates from

initial velocity u = 0

Final velocity v = 60 km/hr = 16.67 m/s

Using,

V = U + at

t = V - U/a

 = 16.67 / 0.046

 =  362.39 seconds

Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.

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Explanation:

done with the meeting today so I m ready for bed k tai you

Answer:

Explanation:

Dx = 85 +  45·cos 30° = 85 + 45·(√3 / 2) ≈ 124 m

Dy = 45·sin 30° = 45·(1/2) = 22.5 m

D = √ (Dx² + Dy²) = √ (124² + 22.5²) ≈ 126 m

The magnitude of the net force on the proton is 0.

An object with zero net force will either remain stationary if initially stationary or maintain a constant velocity.

Fₙ = F₁ - F₂

Fₙ = Net force

F₁  and F₂ are applied forces

Now, F = ma

0 = ma

a = 0

Since acceleration is zero this implies that the object is moving with a constant velocity.

For the given case,

The proton is moving with a constant velocity along the y direction, which means the acceleration is zero. So, the net force is:

Fₙ = ma

Fₙ = m × 0

Fₙ = 0

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The arrow leaves the bow at a speed of 40.47 m/s.

When the arrow is released from its bow, the arrow will move and accelerate. Newton's second law of motion applies to the arrow. The formula F = ma

[tex]a \:=\: \frac{F}{m}[/tex]

[tex]a \:=\: \frac{89.0}{0.0850}[/tex]

a = 1,047.059 m/s²

When the object has acceleration, the object will move in a non-uniform motion. The formula

v² = u² + 2ad

v² = 0² + (2×1,047.059×0.782)

v² = 1,637.6

[tex]v_t \:=\: \sqrt{1,637.6}[/tex]

[tex]v_t[/tex] = 40.47 m/s

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The field magnitude required to divert the beam away from the screen is 3.1588 × [tex]10^{-4}[/tex].

A magnetic force is applied to a charged particle when it enters a magnetic field. This force's strength is determined by the particle's speed, magnetic field, and charge density. Fleming's Left Hand Rule determines the force's direction. The component of the velocity transverse to the magnetic field provides the required centripetal force if the charged object arrives at an angle.

V = 55.0 kV

d = 1.00cm

Tan∅ = ((1 ÷ 2) × 60) ÷ 6.0 = 5

∅ = 26.6°

Sin∅ = 1 ÷ R

R = 1 ÷ Sin(26.6°)

R = 1 ÷ 0.44

R = 2.27

Total work completed equals Kinectic Energy change

1 ÷ 2 mv² = qΔV

0.5 × 9.1 × [tex]10^{-31}[/tex] × v² = 1.6 × [tex]10^{-19}[/tex] × 55.0 × [tex]10^{3}[/tex]

v² = (8.8 × [tex]10^{-15}[/tex]) ÷ (4.55 × [tex]10^{-31}[/tex])

v² = 1.93 × [tex]10^{16}[/tex]

v = √1.93 × [tex]10^{16}[/tex]

v = 138924439

v = 1.3 × [tex]10^8[/tex]

The magnetic force produces the centripetal force.

qvB = mv² ÷ R

B = (mv ÷ qR)

B = (9.1 × [tex]10^{-31}[/tex] × 1.3 × [tex]10^8[/tex]) ÷ (1.6 × [tex]10^{-19}[/tex] × 2.27)

B = (11.83 × [tex]10^{-23}[/tex]) ÷ (3.745 × [tex]10^{-19}[/tex])

B = 3.1588 × [tex]10^{-4}[/tex]

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The voltage and current are related is to resistive circuit.

What is resistive circuit?

In a fully resistive circuit, current and voltage are in phase, and the power factor is 1. In a circuit where the current lags the voltage by 90 degrees, the power factor is zero trailing. The current leads the voltage in a completely capacitive circuit by 90 degrees, and the power factor is zero.

What is the relationship between the phases of voltage and current?

Current and voltage in a pure resistive circuit are in phase with one another. Thus, the peak values of both the current and the voltage will occur simultaneously.

Therefore, the phase angle between the voltage and the current is, capacitive circuit by 90 degrees, and the power factor is zero.

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