A roller coaster cart of mass m= 230kg starts stationary at point A, where h1= 39.1 m and a whole later is at B, where h2=9.7m
The acceleration of gravity is 9.8 m/s^2.
What is the potential energy of the cart relative to the ground at A? (Answer in units of J)

What is the speed of the cart at B, ignoring the effect of friction? (Answer in units of m/s)

To find the answers learn collision and magnitude.

What is magnitude?

The most straightforward way to define magnitude is "distance or quantity." In either an absolute or relative sense, it displays the size or motion of an object. It serves as a way to convey the size or scope of something. The majority of the time, magnitude refers to a length or size.

What is collision?

Collision, also known as impact, is the sudden, violent coming together of two bodies in direct contact, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when coupled, or a falling object and a floor.

This is a completely inelastic collision , but Eq. 9−53 (V=m₁/m₁+m₂ V₁i)

is not easily applied since that equation is designed for use when the struck particle is initially stationary. To deal with this case (where particle 2 is already in motion), we return to the principle of momentum conservation:

m₁ V^→₁+m₂V^→₂=(m₁+m₂) V^→ ⇒  V^→ =2(4i-5j)+4(6i-2j)/2+4

(a) In unit -vector notation , then  V^→ =(2.67m/s)i+(-3.00m/s)j

(b) The magnitude of   V^→ is |V^→| =4.01m/s

(c) The direction of   V^→ is 48.4°c (measured clockwise, from the + x axis)

Therefore, unit -vector notation , then V^→ =(2.67m/s)i+(-3.00m/s)j, the magnitude of   V^→ is |V^→| =4.01m/s, the direction of   V^→ is 48.4°c (measured clockwise, from the + x axis)

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The density of a substance with a mass of 20. 0 g and a volume of 4. 0 ml is 5g/ml.

Density :

Density is calculated as:

Density = mass/volume

ρ = m/v

where,

ρ = density of the substance

m = mass of the substance

v = volume of the substance

ρ = m/v

ρ = 20.0/4.0

ρ = 5g/ml

so, density is 5g/ml.

The density of a substance with a mass of 20. 0 g and a volume of 4. 0 ml is 5g/ml.

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The equivalent formula for p = iv is the startfraction p over v endfraction = i

In physics, power measures the rate of transfer of electrical energy through a circuit per unit of time. It is denoted by P and is measured using the SI unit of power (watts or 1 joule/second). Electrical energy is usually supplied by batteries and produced by generators.

There are three types of power, true, reactive, and apparent, which are related in trigonometric form. This is called the power triangle. A power triangle that relates apparent power to active and reactive power. Power is measured in watts. One watt equals one joule per second.

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The magnitude of a single extra force necessary to keep the rod in its mechanical equilibrium is 20N in the same direction with the 5.0kg blocks' weight force.

A system is in the mechanical equilibrium when it is at rest and the resultant of the force working on the system is equal to zero (0) or no movement happen within the system.

Please take a look at the drawing below.

The existance of 2 blocks attached to each of the rod's ends are enable the rod to move in a circular form. Hence, we could conclude that both of the blocks are giving centripetal forces to the rod.

Centripetal force is the force that works in a system and make a system to move within the curved path. The direction of this force is always perpendicular to the system fixed center point.

On the case, the center point is the center of gravity of rod, where the weight force (W) working in the system. Assuming that the rod is a symetrical solid rod, hence the center point is exatcly at the middle of the rod.

Both of the blocks are giving weight forces to the system with their mass. However since they are differences on their mass, their weight forces are also working differently.

Both of the blocks are working to the system and moving the system into their respective direction, which are the opposite of each other.

Hence, we could conclude that we need to give extra force into one of the block's force direction to balance all the forces working in the system.

Because we want the system to be in its mechanical equilibrium, we have to use the First Law of Newton where the force resultant of the system must be equal to zero (0).

We could write the equation for this system:

∑F = 0

Fs1 - Fs2 + Fs3= 0

(W1 × 1) - (W2 × 1) + (F3 × 1) = 0

(7×10×1) - (5×10×1) + F3 =0

70 - 50 + F3 = 0

F3 = - 20N

Hence, we need to give an extra 20N force in the same direction with the 5.0kg blocks' weight force to make system reaches its mechanical equilibrium.

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Here is your Answer:-

If the distance separating the objects is tripled, then what is the new force? Explanation: -The electrostatic force is inversely related to the square of the separation distance. So if d is three times larger, then F is nine times smaller – that is, one-ninth the original value.

Answer:

Explanation:

Given:

r₂ = 3·r₁

________

F₂ / F₁ - ?

According to Coulomb's law:

F₁ = k·q₁·q₂ / r₁²

F₂ = k·q₁·q₂ / r₂²

F₂ / F₁  = (r₁ / r₂)²

F₂ / F₁  = ( r₁ / (3·r₁)² = (1 / 3)² = 1 / 9

Strength will decrease by 9 times

Compared to the initial velocity, the velocity of the ball at the maximum height is zero m/s.

We know that in the gravitational field, there is a force that acts to either accelerate or decelerate a body. If the body is accelerated, then the object must be moving in the same direction as gravity, that is, the object is moving downwards.

If the object is decelerated then the object is moving in a direction that is opposite to gravity, then the motion of the object must be slowed down continuously until the object is gradually brought to a stop.

When we through a ball upwards at a given speed, the speed of the ball would continue to decrease until  the ball would eventually attain a minimum speed of zero at the maximum height.

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Electrons are expelled from a metal surface when monochromatic light strikes it. The ejection rate would drop as the light intensity rises. The rate of ejection will rise.

Single-wavelength monochromatic lights have the prefix mono for one and the suffix chroma for color. Monochromatic light is defined as visible light with a constrained range of wavelengths. It has a wavelength that is contained in a small wavelength range.

Since all black and white or grayscale images are composed of different tones of the same color—black—they are all monochrome. However, not all monochromatic images are grayscale since they can be created in any color. Even though an image is entirely composed of yellow tones, it is still regarded as monochromatic.

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The present value of an ordinary annuity $3000  per semiannual period for 6 years at 11% interest rate is  $25,855.55

The present value of an ordinary annuity is given by:

P = PMT x [1 - (1 + r)⁻ⁿ] / r

Where:

P = present value

PMT = amount of annuity payment per period

r = interest rate per period

n = number of periods

Since it is semiannually compounded, the number of periods per year = 2. Therefore,

r = 11%/2 = 0.055

n = 2 x 6 years = 12

PMT = 3000

Hence,

P = 3000 x [1 - (1 + 0.055)⁻¹²] / 0.055

P =  25,855.55

Hence, the present value is  $25,855.55

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2P1 means the faster crane have double power compared to the first crane between two construction cranes are each able to lift a maximum load of 10000 n to a height of 150 m.

Maximum load means the weight of the load declared permissible by the competent authority of the country of registration of the vehicle; "Permissible maximum weight " of a vehicle means the weight of the vehicle and its maximum load when the vehicle is ready for the road.

A crane is a type of machine, generally equipped with a hoist rope, wire ropes or chains, and sheaves, that can be used both to lift and lower materials and to move them horizontally.

work done by p1 = m*g*h

= 2*10^4*100

power p1 = 2*10^6 /t

power p2 = 2*10^6 /(t/3)

=3(2*10^6/t) = 3p1

s0, faster crane have (3p1-p1) = 2p1

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Answer:

Because in mirror we can see our face and our getup in daily life.

Answer:

because as we know plane mirror as concave mirror ,when person keeps his/her face between focus and the pole of the mirror it forms virtual image of his/her face

which is enlarged

r_{cm} = 4.67 10⁶ m. We see that none of the answers is correct, the closest is the third, but the center of mass is within the radius of the Earth.

The definition of the center of mass is

  rcm= 1 / M ∑ rimi

where mi represents each body's location and M represents its total mass

We must choose a reference system for the calculation, and we will do it with the Earth's centre as its origin. The information we have is

Mass of the Earth Me = 5.98 1024 kg

Moon mass m = 7.36 1022 kg

Earth to Moon Distance r = 3.84 108 m

Let's apply this to our case

     r_{cm} = 1 / (Me + m) (Me 0 + m R)

     r_{cm} = 1 / (598 +7.36) 10²² (0 + 7.36 10²² 3.84 10⁸)

    r_{cm} = 4.67 10⁶ m

We can see that this distance is less than the radius of the Earth

We see that none of the answers is correct, the closest is the third, but the center of mass is within the radius of the Earth.

The unique point at the centre of a spatial distribution of mass is known as the centre of mass, and it has the property that the sum of the weighted position vectors around it is zero. The centre of mass is the average location of a distribution of mass in space, to use an analogy from statistics.

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There solar and lunar eclipses aren't every month  because the Moon’s orbit is tilted with respect to Earth’s orbit.

When the moon passes between the sun and the Earth, a solar eclipse occurs. As a result, the moon creates a shadow on the Earth by preventing the sun's light from reaching its surface. This takes place in new moon. Up to five solar eclipses can be seen annually.

When Earth passes between the sun and the moon, a lunar eclipse occurs. As a result, the Earth's shadow falls over the moon, preventing the moon from receiving light from the sun. It happens on a full moon day. Up to three lunar eclipses can be seen annually.

The plane of the Moon's orbit around the Earth is tilted by around 5.15° in relation to the plane of the Earth's orbit around the Sun. That's way,  there aren't solar and lunar eclipses every month.

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A super giant black hole is located at the center of our galaxy and the earth is located around 2,000 light years from this point.

Our galaxy is called milky way galaxy including solar system, planets and giant balls of gases.

When observed from earth it looks like hazy spectrum of light emitted by the billions of stars present in the galaxy.

However, at the center of our galaxy, there is a giant super giant black hole which is just 2,000 light years away from the earth.

New scientific evidence shows that the black hole sits around 25,800 light-years from the planet earth.

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The weight or force due to gravity  (Fg) is equal to the sum of the tensions in both wires.

A force is an effect that can alter an object's motion according to physics. 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.

Frictional force allows the ball to stay in the hand while muscular force is employed to stop the motion of the ball during catching. Throughout this activity, the Earth's gravitational pull on the ball is constant.

The weight or force due to gravity  (Fg) is equal to the sum of the tensions in both wires.

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Answer:

Mushroom are healthy and they are good your body and energy and other very important health proteins and stuff but it shouldn't only focus on mushrooms because they won't help you survive for your whole life.

Answer:

-4

Explanation:

formula for acceleration is

[tex] a = \frac{vf - vi}{t} [/tex]

vf as in final velocity

vi as in initial velocity

t as in time

the initial velocity is 0 m/s and the final velocity is 0 m/s because the train comes to a stop. the time is 10 s.

the answer is negative because the train is slowing down

The work done by static friction is zero.

Friction is nothing but a opposing force applied in the opposite direction of the force applied.

Also workdone is also a result of the force applied and the distance object has moved.

In this question the car turns a quarter circle ccw , so the static friction can be balanced by the centripetal force. but workdone will be

W = F * d cos Ф

where d is the distance and Ф is the angle between force and motion. In this case, since force and motion are perpendicular so Ф will be 90 degree.

so,

W = F * d * cos90

since cos90 = 0

so W = 0

Hence the workdone will be zero.

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After 45 hours, the plant's height is 2.25 cm.

The bamboo plant is 2.1 cm tall after 40 hours.

The bamboo plant has grown to a height of 2.4 cm after 50 hours.

Bamboo plant height after 45 hours =?

40 and 50 hours are separated by 2.4 to 2.1 cm.

= 0.3 cm

50 divided by 40 equals 45.

The height will therefore increase by 0.3/2 = 0.15 cm after 45 hours.

Height at 45 hours is equal to 2.25cm (2.1 + 0.15cm).

As a result, the plant is 2.25 cm tall after 45 hours.

1.5 in. per hour

Some bamboo species have been known to grow up to 2.91 feet every day, or 1.5 inches per hour, according to Guinness World Records! .

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The rotational inertia of a merry-go-round connects the torque produced by one to the angular acceleration that results.

Any item with the ability to rotate possesses rotational inertia. It is a scalar value that indicates how challenging it is to alter the object's rotational speed around a specific rotational axis. Similar to the role that mass plays in linear mechanics, rotational inertia plays in rotational mechanics.

Rotational inertia, also referred to as the inertia moment is the resistance of an item to a change in rotation. Rotational inertia can be felt and seen in many commonplace situations, such as when using a heavy baseball bat or pushing a large group of people on the a merry-go-round.

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The undamped natural frequency, the damping ratio and the damped natural frequency are 3.162 rad / s, 0.211 and 3.098 rad / s respectively.

ωn = √ ( k / m )

ζ = c / 2 √ k m

ωn = Undamped natural frequency

k = Stiffness

m = Mass

ζ = Damping ratio

c = Damping co-efficient

m = 150 kg

k = 1500 N / m

c = 200 kg / s

ωn = √ ( 1500 / 150 )

ωn = 3.162 rad / s

ζ = 200 / 2 √ ( 1500 * 150 )

ζ = 0.211

Since ζ < 1,  the system is underdamped and the solution will oscillate.

ωd = ωn √ ( 1 - ζ² )

ωd = Damped natural frequency

ωd = 3.162 √ ( 1 - 0.211² )

ωd = 3.162 √ 0.96

ωd = 3.162 * 0.98

ωd = 3.098 rad / s

Therefore,

The given question is incomplete. The complete question is:

A spring-mass-damper system has mass of 150 kg, stiffness of 1500 N/m and damping coefficient of 200 kg/s. Calculate the undamped natural frequency, the damping ratio and the damped natural frequency. Is the system overdamped, underdamped or critically damped? Does the solution oscillate?

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Using the concepts of centripetal force, we got that  6.4m/sec² is the acceleration for  a greyhound who can run around these turns in the typical greyhound track  has turns that are 45 m diameter semicircles.

We are having some quantities:

Diameter of the semicircle, d = 45 m

Radius of the semicircle, r = 22.5 m      

Speed of greyhound, v = 12 m/s

The greyhound is moving under the action of centripetal acceleration. Its formula is given by :

a=(v²)/r

where v is the velocity of moving object and r the radius of the semicircle.

Putting the values, we get

=>a=[(12)×(12)]/22.5

=>a=[144/22.5]

=>a=6.4m/sec²

Hence, the racing greyhounds are capable of rounding corners at very high speeds. a typical greyhound track has turns that are 45 m diameter semicircles. a greyhound can run around these turns at a constant speed of 12 m/s, the acceleration in units of 6.4m/sec².

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Men felt they had fewer women and children because they thought they could rule the world because of their gender, so they had to abuse them.

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150 Newton is the centripetal force, when a 60.-kilogram car travels clockwise in a horizontal circle of radius 10. meters at 5.0 meters per second.

centripetal force F=mv²/r

m=60 kg

v=5 m/s

r= 10 m

F=mv²/r

F=60×5×5÷10

F=150 N

Any movement along a curved path accelerates, making applying force to the path's center of curvature necessary. This force is known as centripetal, which means "center seeking."

According to the Centripetal Force Formula, the centripetal force is equal to the product of the radius (in meters) and the square of the tangential velocity (in meters per second) (in meters). With a doubling of tangential velocity, this formula predicts that the centripetal force will also double.

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The minimum radius of the plane's path found using the expression of centripetal acceleration is 179.24 m

What is centripetal acceleration?

When an object moves in uniform circular motion, it will experience an acceleration. This acceleration is of the type that changes its direction, rather than its speed. We call this type of acceleration, centripetal acceleration.

The centripetal acceleration is given by.

a = v^2/r

Where a= centripetal acceleration

           v = velocity

           R = radius

In the given question we are given,

v = 105 m/s/s

a = 6.27 times free-fall acceleration

  = 6.27 x 9.81 m/s/s

Obtaining the expression for the radius.

 a = v^2/r

  r = v^2/a

    = 105 x 105/ 9.81 x 6.27

    = 179.24 m

Hence, the minimum radius of the plane's path is 179.24 m

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The string when the ball passes through its lowest position is 5N.

Solution:

Tension on the ball, T = mg

T = 0.5*9.8 = 4.9

Approximately equal to 5N.

At the highest point, there is less weight more centrifugal force, and no tension. So the stress at the bottom point is 6 mg which is zero as described for the top point. The rope tension is always directed toward the center of the circle. The following means that tension is up while gravity is down. Zero voltage is loose.

Strings and ropes are often idealized as having length but no mass and no cross-section. Most players are familiar with the general principle that less tension means more power, and more tension means more control. Strings with lower tension stretch more on impact and store more energy. When the ball bounces off the racquet it returns more energy and launches it at a higher velocity.

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The average velocity of April, knowing that she runs leftward 100 m to her horse then she rides 500 m to her truck then she drives 1000 m in a total time of 120 s is 13.33 m/s

We know that average velocity is the total displacement travelled divided by the total time. This can be written as:

Average velocity = Total displacement / total time

With the above information, we'll begin our calculation by obtaining the total displacement. This is illustrated below:

Total displacement = 100 + 500 + 1000

Total displacement = 1600 m

Finally, we shall determin the average velocity. This is shown below:

Average velocity = Total displacement / total time

Average velocity = 1600 / 120

Average velocity = 13.33 m/s

Thus, the average velocity is 13.33 m/s

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Current is known as the rate of flow of charges that is electrons. While the electrons move through the wire, the number of positive charges is equal to the number of negative charges formed due to motion. Therefore, a wire carrying is normally charged neutral.

An electric current is a circulation of charged particles, consisting of electrons or ions, moving through an electrical conductor or space. it's miles measured because of the net fee of going with the flow of electric price via a floor or right into a controlled quantity. The moving debris is referred to as charge companies, which may be one of the numerous forms of particles, depending on the conductor. In electric-powered circuits, the rate providers are frequently electrons moving through a twine. In semiconductors, they may be electrons or holes. In an electrolyte the rate providers are ions, at the same time in plasma, ionized gasoline, they're ions and electrons.  

The SI unit of electrical modern-day is the ampere or amp, which is the waft of electrical fee across a surface at the charge of one coulomb in keeping with the second.  

The ampere (image: A) is an SI base unit. electric modern-day is measured by the usage of a tool called an ammeter. electric powered currents create magnetic fields, that are used in cars, generators, inductors, and transformers. In everyday conductors, they motivate Joule heating, which creates light in incandescent light bulbs. Time-varying currents emit electromagnetic waves, that are used in telecommunications to broadcast facts.

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In 1964 Gell Mann and Zweig introduced a baryonic triplet consisting of three hypothetical particles that are termed as Quarks.

The quark model is able to explain many features of elementary particles and gives a good insight into the structure of baryons and mesons.

Quarks are the fermions as the basic building block if we use fermions then we can get fermions and bosons. These bosons are assumed as antiquark pairs.

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The bend in the wave that formed when a wave moves into the shallower water so it will interact with the seafloor and slowing down is called wave refraction.

Refraction is the bending of a wave-front because it voyages at distinctive speeds over water of distinctive profundities. When distinctive parts of the same wave-front travel at diverse speeds, the wave twists towards the slower portion. The shallower the water, the slower the wave; hence the wave twists towards the shallower water.

Refraction can also be interpreted as the change of direction that a light beam encounters when passing from a straightforward medium (water, glass, discuss) to another where the speed of engendering of the wave is diverse.

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Answer:

help!!

Explanation: