A 60 kg person runs with a velocity of 4 m/s and jumps onto a 5 kg skateboard and rolls away. What is the final velocity of the person on the skateboard?
(round your answer to the nearest tenth)

The three formulas for velocity are: v = u + at ; v² = u² + 2as. ; and s = ut + ½at².

The term "velocity" refers to the rate and direction of motion and is measured using a vector scale. Simply said, velocity is the speed with which an object moves in a single direction.

There are three equations of velocity, also called the laws of constant acceleration, that apply when the acceleration is uniform. As a result, variables such as displacement (s), velocity (initial and final), time (t), and acceleration can be calculated using the provided equations (a). Because of this, they can only be used in situations where the acceleration is constant and the motion is linear. The three equations are: v = u + at ; v² = u² + 2as. ; and s = ut + ½at².

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The system of equations that can be used to represent the radius of the mass of the cylinder is 11,000 grams is m = M(r) × π × r².

We can calculate the radius of the cylinder using the formula for cylinder volume. Cylinder radii (r) = √(V / π × h), where V denotes a cylinder's volume, h denotes its height, and (Pi) denotes a mathematical constant with a roughly 3.14 value.

The radius of a barium cylinder with a height of 2 inches determines the mass of the cylinder, according to the function M(r) = 7.18872.

The following formula determines the cylinder's mass,
m = M(r) × π × r²

Substitute, the given terms

11000 = 7.18872 × 3.14 × r²

r = 22.06 inches.

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Complete question is " The mass of a cylinder made of barium with a height of 2 inches depends on the radius of the cylinder as defined by the

function M(r) = 7.18872.

Which system of equations and solution can be used to represent the radius if the mass of the cylinder is 11,000 grams?

Round to the nearest hundredth of an inch".

Answer:

It is C on edge

Explanation:

Took the test and got it right R = 22.07

Light will reflect at the same angle off a smooth surface as when it first touches it. The direction of reflected light beams for a flat surface is the same. Specular reflection is what is happening here.

When light reflects off of a surface, it happens. Light will reflect at the same angle it was incident upon if the surface is glossy and smooth.

A smooth polished surface is what is referred to as a reflection when a light ray strikes it and bounces back. Surface reflection occurs when a light beam hits it and then leaves it.

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Answer: The part of color that's reflected is the red that bounces off the paper.

Hope this helps you!!!

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The wavelength of the light beam having a frequency of 6 × 1017 hz is 0.05 nm.

To calculate the wavelength of a light beam, we can use the formula:

λ = c/f

Where λ is the wavelength, c is the speed of light and f is the frequency of the light.

The speed of light is approximately 3 x 10^8 m/s, we can use this value to find the wavelength.

λ = c/f

λ = (3 x 10^8 m/s) / (6 x 10^17 Hz)

λ = 0.05 nm

So the wavelength of the light beam is 0.05 nm.

It's important to mention that the wavelength is inversely proportional to the frequency, meaning if the frequency is high the wavelength is short and if the frequency is low the wavelength is long.

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A amplitude is a measure of the energy in a wave. The greater the waves amplitude, the more energy it has.

Amplitude is a measure of the energy or intensity of a wave. In physics, it is defined as the maximum deviation of a wave from its average position or equilibrium state.

In the context of sound waves, amplitude refers to the loudness of a sound. A sound with a high amplitude is louder than a sound with a low amplitude.

In the context of light waves, amplitude refers to the brightness of a light. A light with a high amplitude is brighter than a light with a low amplitude.

In the context of mechanical waves, amplitude refers to the maximum displacement of a point on the wave from its rest position.

In summary, amplitude is a measure of the energy or intensity of a wave and is represented by the maximum deviation of a wave from its average or equilibrium position.

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Finding the lever arms to the point of application of the force and multiplying it yields the amount of the a torque about just a fixed axis.

Finding the moment arm and multiplying it by the applied force is a useful approach to ascertain the torque's magnitude. The distance that separates the rotational axis from the force's direction of action is known as the lever arm. and the torque has a magnitude of N m.

Each force will then result in a torque. The total of the various torques is the net torque. Translational equilibrium, in which the sum of the forces is equal to zero, is equivalent to rotational equilibrium. The total torques are equal to zero in rotational equilibrium.

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How to Calculate a Vector's Magnitude and Direction from its Components.

Step 1: Use the equation A=√A2x+A2y A = A x 2 + A y 2 to calculate the magnitude of the vector.

Step 2: Use the equation Θ=tan−1(AyAx) Θ = tan − 1 ⁡ ( A y A x ) to calculate the direction of the vector.

As we know, the vector is an object which has both the magnitude as well as direction. To find the magnitude of a vector, we need to calculate the length of the vector. Quantities such as velocity, displacement, force, momentum, etc. are vector quantities. But speed, mass, distance, volume, temperature, etc. are scalar quantities. The scalar has the only magnitude, whereas the vectors have both magnitude and direction.

The magnitude of a vector formula is used to calculate the length for a given vector (say v) and is denoted as |v|. So basically, this quantity is the length between the initial point and endpoint of the vector. To calculate the magnitude of the vector, we use the distance formula.

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Answer:

The amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. This means that the car was lifted to a height of 3,000m. It is important to note that this is an approximate value as the actual height could be different due to factors such as air resistance and efficiency of the crane.

Explanation:

The amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. To determine the height to which the car was lifted, we need to use the equation of work done (W) which is equal to the force applied (F) multiplied by the distance moved (d). Work done here is equal to 3MJ, force applied is equal to the mass of the car (10,000 kg) multiplied by the gravitational acceleration (10m/s2). Therefore, the equation to determine the distance moved (d) is:

W = Fd

3MJ = (10,000kg)(10m/s2)d

d = 3MJ/(10,000kg)(10m/s2)

d = 3,000m

This means that the car was lifted to a height of 3,000m. It is important to note that this is an approximate value as the actual height could be slightly different due to various factors such as air resistance and the efficiency of the crane.

To understand how this calculation was made, it is important to understand the concept of work. Work is defined as the product of force and the distance moved in the direction of the force. In this case, the force is the gravitational force acting on the car which is equal to the mass of the car multiplied by the gravitational acceleration (10m/s2). The distance moved is in the direction of the gravitational force which is upwards.

The next step is to calculate the work done by the crane in lifting the car. Work done is equal to the force applied multiplied by the distance moved. Here, the force applied is the mass of the car (10,000 kg) multiplied by gravitational acceleration (10m/s2) and the distance moved is the height to which the car was lifted. From the equation of work done, we can calculate the distance moved (d) which is equal to the work done (3MJ) divided by the force applied (10,000kg)(10m/s2). This gives us a value of 3,000m for the distance moved, which is the height to which the car was lifted.

In conclusion, the amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. This means that the car was lifted to a height of 3,000m. It is important to note that this is an approximate value as the actual height could be slightly different due to various factors such as air resistance and the efficiency of the crane.

The height of the car is lifted is 3,000m.

Work done by a force is defined as the product of the displacement and the component of the applied force on the object in the direction of displacement. When we push a block with some force, the body moves with some acceleration, work is done.

Work done can be calculated with this equation:

Work = Force x Distance.

The SI unit for work is the Newton meter (N m).

The amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. To determine the height to which the car was raised, we need to use the equation for work done (W), which is equal to the force applied (F) multiplied by the distance moved (d). Here the work done is equal to 3MJ, the force applied is equal to the mass of the car (10,000 kg) multiplied by the acceleration due to gravity is [tex]10m/s^2[/tex]

W = Fd

3MJ = (10,000)(10)d

d = 3/(10,000)(10)

d = 3,000m

Thus, the height of the car is lifted is 3,000m.

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Heat received by cold water equals heat lost by hot water. 60°C is the ultimate temperature.

An evaluation of an object or substance's warmth or coolness in relation to a reference value.

a measurement of how much heat is required to raise the temperature of a material by one degree Celsius for every gramme.

The unit of measurement for specific heat is Joules per gramme per degree Celsius (J/g °C).

Let c represent the water's specific heat.

based on the calorimetry concept.

Heat received by cold water equals heat lost by hot water.

200 * c * (80 - T) = 100 * c * (T - 20) (T - 20)

∴ 200c (80-T) = 100c(T-20) (T-20)

∴2 (80-T) = T - 20

∴160-2T=T-20

∴ 160+20 = T +2T

∴180 = 3T

∴T = 60 C.

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The initial energy was lost in collision of a 2350 kg shark moves upward toward a 195 kg fish that is at rest and swallows it whole = 95.33 Joules.

Perfectly inelastic collisions, in contrast to elastic collisions, conserve momentum but not energy. The kinetic energy carried by the moving objects is not always conserved, even though the system's overall energy is always constant. Energy lost to the environment and converted into other forms, such heat, during an inelastic collision.

To determine the energy lost in collision, use the equation:

E = ½ (m1m2) / (m1 + m2) x v²

Where:

m 1 = mass of the object 1

m 2 = mass of the object 2

v 1 = velocity /speed of the object 1

v 2 = velocity / speed of the object 2

v 1 = v2

Hence,

E = ½ (2350 x 195) / (2350 + 195)

= ½ (485250) / (2545)

= 95.33 Joules.

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Answer:Therefore, the speed of the object that has 9000 J of kinetic energy and a mass of 35 kg is 22.68 m/s.

Explanation:

An object has 9000 J of kinetic energy and a mass of 35 kg. What is the object's speed?

Data:

Ec = kinetic energy = 9000 J

m = mass = 35 kg

V = speed = ?

The formula of potential energy;

Where

We clear for speed, substitute data and solve:

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{Ec=\frac{m*v^2}{2} \iff \ V=\sqrt{\frac{2*E_c}{m} } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\sqrt{\frac{2*9000 \ J}{35 \ kg} } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\sqrt{\frac{18000 \ J}{35 \ kg} } } \end{gathered}$}}[/tex]

Before continuing to answer, we work with the units, which in this case is Joules.

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\sqrt{\frac{18000 \ N*m}{35 \ kg} } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\sqrt{\frac{18000 \ \not{kg}*\dfrac{m}{s^2} *m}{35 \not{kg}} } \iff V=\sqrt{\frac{1800 \ \dfrac{m}{s^2} *m}{35} } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\sqrt{\frac{18000 \ \dfrac{m^2}{s^2} }{35 \ } } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\sqrt{514.2857142857142857 \ \frac{m^2}{s^2} } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\sqrt{514.286 \ \frac{m^2}{s^2} } } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=22.6778746799606422=22.6778 \ m/s } \end{gathered}$}}[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V \approx22.68 \ m/s } \end{gathered}$}}[/tex]

Therefore, the speed of the object that has 9000 J of kinetic energy and a mass of 35 kg is 22.68 m/s.

Answer:

The distance = 14.7 m ( approx 15m)

Explanation:

Hopefully everything is clear for you!

the magnitudes of the individual rotational torque about a given axis, and the net torque the about axis seems to be the sum of the different torques: →τnet=∑i|→τi|.equilibrium

An object may be under the influence of many forces, each of which may act at a different position on the item. Each force will then result in a torque. The total of the various torques is the net torque.

When an object is in static equilibrium, the resultant force and force exerted on it are both equal to zero. The force acting on an item is determined by multiplying its mass by its rate of acceleration.

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The distance between the pivoting force and the resisting force is 1.2. Resistance is the capacity of a substance to block the movement of electrical current.

Resistance measures how easily energy will flow throughout a circuit by using the ohm () as the unit. Current increases when resistance decreases, and decreases when resistance increases. Resistance is important to ensure that water flows through circuits at the correct rate.

As resistance rises, the amount of current that flows diminishes. One of the causes, if abnormally high, could be conductivity damage from corrosion burning. Since all semiconductors emit some heat, temperature rise is a frequent issue connected to resistance.

15*4 = 50x

60 = 50x

1.2 = x

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Uranium contains almost 16,000 times as much energy per unit weight as coal, hence the statement that only 0.7% of uranium can fission with a single, low-energy neutron is true.

Does uranium possess a lot of energy?

An plentiful metal with a lot of energy is uranium: One ton of coal, 149 gallons of oil, or 17,000 cubic feet of natural gas are all equivalent in terms of energy production to one uranium fuel pellet.

Other than uranium, what has higher energy?

In a liquid fluoride thorium reactor, it is thought that one ton of thorium may generate as much energy as 35 tons of uranium. A well-functioning reprocessing reactor can use 99% of its thorium fuel, compared to conventional reactors that use less than 1% uranium.

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The amount of moles is equal to 10/294 or 0.034 moles. [tex]C_{14} H_{18} N_{2}O_{5}[/tex] is the chemical formula for aspartame.

By multiplying the aspartame's molecular weight (294.31 g/mol) by its mass (10 g) and then dividing by the molar mass, one can get the number of moles of molecules contained in a unit of aspartame (C14H18N2O5) of 10 g. As a result, there are 0. 033999 moles in 10 grammes of aspartame.

Thus, the mass of 6.022 1023 of a substance's atoms, molecules, or formula units is its molar mass, which is measured in grammes per mole. The amount of grammes in 1 mole is always the same in each instance.

Aspartame Molecular mass = ( 12 * 14 ) + ( 1 * 18 ) + ( 14 * 2 ) + ( 16 * 5 ) = 294

moles = m/M

moles = 10/294

moles = 0.034

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The mechanical advantage should be 0.4 ( less than 1).

                   MA = Output force / Input force

length:

                   MA = Length of input arm / Length of output arm

                    MA = ramp length / ramp height.

A ramp makes it possible to move a heavy load to a new height using less force (but over a longer distance).

So, In this case, MA = 0.4/1 = 0.4.

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A counterclockwise spin in figure skating is known as a "backspin" or "backward spin."

It isn't always special whether the figure skater is capable of keep control for the duration of the spin. It'd depend upon the skater's skill stage and the precise conditions of the spin. Factors inclusive of the skater's balance, pace, and technique can all play a function in figuring out if they're able to keep manage. Moreover, the surface of the ice and any distractions within the environment might also affect the skater's ability to maintain manipulate. Average, the capacity to keep manipulate in the course of a spin can range significantly depending at the individual skater and the unique situations of the spin.

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The momentum of one of the balls before the collision is 4.5 kg*m/s. The principle of conservation of momentum states that in an isolated system, the total momentum before a collision is equal to the total momentum after the collision.

If two objects are moving toward each other, then their relative velocity is twice the velocity of one object. Given that the total mass of the two bowling balls is 3 kg and the velocity of one of the balls before the collision is 3 m/s, we can use the equation of momentum p=mv to find the momentum of one of the balls.

p = mv

The momentum of one of the balls before the collision is p1 = m1*v1, where m1 is the mass of one of the balls and v1 is the velocity of one of the balls before the collision.

Given that the mass of one of the balls is 3 kg/2 = 1.5 kg.

p1 = (1.5 kg)(3 m/s) = 4.5 kg*m/s

Therefore, the momentum of one of the balls before the collision is 4.5 kg*m/s

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if a rock is hurled straight up from the earth's surface. The potential energy grows as the kinetic energy drops.

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The object has mgh total energy. Its kinetic energy will be converted into potential energy as it descends. The kinetic energy is equal to 1/2*m*v^2, where v is the object's instantaneous velocity.

The potential energy would diminish as the object continued to fall, while the kinetic energy would rise. PE = KE with v = 4.6 m/sec Between the beginning point and the lowest point of the fall, the height is always the vertical distance (and not necessarily the entire distance the body may go).

Almost all mechanical processes involve the transfer of energy between its kinetic and potential forms as well as work. Potential energy is released into the environment as kinetic energy when elastic or other forces, among others, cause it to move.

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A solenoid is the device that converts electrical energy into linear mechanical force.

Solenoid. a substantial length of electrically current-carrying insulation wire. Where solenoids are used Many devices require the production of a powerful magnetic field. Putting it another way, a solenoid turns electrical energy into mechanical work. Copper wire is tightly wound in numerous turns to create the coil. This wire produces a powerful magnetic field or flux when an electrical current runs through it.

Any object that produces a magnetic field is referred to as a magnet. This undetectable magnetic field, which also attracts or repels other magnets, is what makes a magnet stand out from other ferromagnetic materials such as iron, steel, nickel, cobalt, etc.

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If you have the other values, use the momentum equation p = m•v to determine an object's momentum or velocity.

When the momentum of each automobile is known, the after-collision velocity may be calculated by dividing the momentum by the mass (v=p/m). We can predict some things about the relative velocities before and after the impact if kinetic energy and momentum are conserved. Both before and after the impact, the relative velocity's magnitude is the same.

The impact velocity is calculated using the formula below. Take the square root of the result to determine the impact velocity by multiplying the height by the acceleration caused by gravity twice.

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A high-pressure system at the surface is created with sinking air.

High-pressure weather systems are also referred to as anticyclones that have higher atmospheric pressure at their center than the areas around them, resulting in cold air to be sinking. As the cold air sinks, it warms. It means that air can hold more water, so as a result no clouds or rain are formed.

So high-pressure weather system is associated with sinking air; on the other hand, a low-pressure weather system is associated with rising air.

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Recreational vessels approaching a U.S. naval vessel must slow to a minimum speed at a distance of 500 yards or more from the U.S. naval vessel.

This requirement is outlined in the U.S. Code of Federal Regulations (CFR) 33 § 81.15, which states that all vessels must "proceed at a safe speed" and "maintain a proper lookout" when approaching or passing a naval vessel.

In addition to slowing to minimum speed, recreational vessels must also follow other safety measures when approaching a U.S. naval vessel.

These include staying clear of the vessel's intended course and not impeding its progress, as well as following any signaling or other instructions given by the naval vessel.

Failure to comply with these regulations can result in fines or other penalties.

In conclusion, recreational vessels approaching a U.S. naval vessel must slow to a minimum speed at a distance of 500 yards or more, and follow other safety measures as outlined in the U.S. Code of Federal Regulations to ensure the safety of all vessels involved.

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The velocity of the block at 3.40 m from the top of the slope is 2.687 m/s.

Acceleration is the rate of change of velocity. Acceleration usually implies a change in velocity, but not always. If an object is moving in a circular orbit with constant velocity, it is still accelerating because the direction of its velocity is changing.

The acceleration of the block is m/s2

By the equation of motion,

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

3.82 = [tex]2*a*6.8[/tex]

=> 1a = 3.8²/6.8

Let v be the velocity 3.4 m from the vertex, then v2 = 2a3.4 = (3.8^2 /6.8)*3.4 = 3.8² /2

v = 3.8/√2 = 2.687

Velocity is 2.687 m/s. The velocity of the block at 3.40 m from the top of the slope is 2.687 m/s.

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       Alternating current supplied to the loudspeaker creates sound waves in the following way:

         A current in the coil creates a magnetic field around it. The magnetic field interacts with the permanent magnet generating a force, which pushes the cone outwards. The current changes direction.

  A change in the magnetic field through a coil can induce a potential difference across it which drives a current. The voltage and current changes in a transformer can be calculated, as power transfer is constant.

The motor effect is used inside headphones, which contain small loudspeakers. In these devices, variations in an electric current cause variations in the magnetic field produced by an electromagnet. This causes a cone to move, which creates pressure variations in the air and forms sound waves.

The end of the speaker cone is surrounded by a permanent magnet. A coil of wire which carries electrical signals is wrapped around the end of the cone. The movement generated causes the cone to vibrate.

The alternating current supplied to the loudspeaker creates sound waves in the following way:

    6.    Repeatedly alternating the current direction makes the converts vibrate in and out.  

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Explanation:

x=(80²-0²)/2×4

x=6400/8

x=800m

The primary component of the cemented slab in their home would be calcite minerals.

The mineral calcite is widespread and abundant in nature. Due to its abundance, the substance has no inherent value. However, due to its flawless cleavage in three directions, travertine ranks among the hardest minerals to cut. Accordingly, the majority of the cost of prismatic stone lies in the work of cutting.

Calcite crystals come in a wide range of sizes and shapes. They come in practically every color. Travertine is either colorless, very pale, or white in its purest form. The property of circularly polarized light, or the double diffraction of light, can be seen in crystals.

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Shear force times the parallel distance equals the bending moment. Since the distance has always been zero at support, the BM of a just supported beam will also be zero.

The metre is the SI unit of length (m). Centimeters (cm) can be used to measure short distances, whereas kilometres can be used to measure great distances (km). For instance, you might calculate the kilometres between your home and school and the centimetres between the bottom and top of a piece of paper as examples.

In the International Measurement system, a metre is the unit of distance. It's interesting to note that by utilising this as the basic unit and a few calculations, a variety of different derived units or quantities, including volume, area,

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