A(n) 27.4 g bullet is shot into a(n) 5799 g wooden block standing on a frictionless surface. The block, with the bullet in it, acquires a speed of 1.4 m/s. Calculate the speed of the bullet before striking the block. Answer in units of m/s.

The law of conservation of energy states that energy is always conserved, and cannot be destroyed.

At the top of the hill, the ball is at the maximum height. Because the equation for gravitational potential energy is (\(U_{g}\) = mgH), we can safely conclude that the GPE at A, the top of the hill, is the greatest in all 4 options.

Now, what about Kinetic Energy? Recall the law of conservation of energy. At the point where Gravitational Potential Energy is the lowest, Kinetic Energy will be the highest. Total energy is always conserved, and so it is logical that KE will increase to compensate for GPE decreasing. Therefore, we know that at point C, the ball will have the greatest Kinetic Energy. Because this point is the lowest point in the hill, the ball will have the lowest possible GPE and therefore the largest possible KE out of the 4 options.

4. A

5. C

If you're still confused or would like me to explain this further, just ask!

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Hello,

A roller coaster is moving 10 m/s and a mass of 7 kg. The roller coaster has kinetic  energy.

✔ We have : Ek = 1/2m x v²; with Ek in J, m in kg and v in m/s

A star whose apparent brightness is 10⁻⁶ times that of a first magnitude star would have a magnitude of 16.

To find the magnitude of a star whose apparent brightness is 10⁻⁶ times that of a first magnitude star, we need to understand the magnitude scale and use the formula for the difference in magnitudes.

The magnitude scale is a logarithmic scale used to measure the brightness of celestial objects, including stars. The lower the magnitude, the brighter the object. A first magnitude star is a reference point on the scale, and its brightness is used to compare with other stars.

The formula for the difference in magnitudes (Δm) between two objects is:

Δm = -2.5 * log10 (brightness ratio)

In this case, the brightness ratio is given as 10⁻⁶. So, we can plug this into the formula:

Δm = -2.5 * log10(10⁻⁶)

Δm = -2.5 * (-6)

Δm = 15

The difference in magnitudes between the star in question and a first magnitude star is 15. Since the star in question is less bright than a first magnitude star, we add this difference to the magnitude of a first magnitude star:

magnitude = 1 + 15 = 16

Therefore, a star whose apparent brightness is 10⁻⁶ times that of a first magnitude star would have a magnitude of 16.

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Answer:

I would think B for the answer

Answer:

B

Explanation:

The potential energy of Nan suitcase of mass 14 kg is 54.88 J.

Potential energy is the energy of a body due to its position in the gravitational field.

To calculate the potential energy, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the potential energy is 54.88 J.

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Graph C represents the motion of an object moving with a constant speed.

Graphs represent the relationship between an object's position (coordinate) and time. To determine which graph represents constant speed, we need to understand the characteristics of constant speed motion. When an object moves with a constant speed, it covers equal distances in equal intervals of time.

In other words, its position changes at a steady rate. Graph C, which depicts a straight line with a constant positive slope, indicates that the object is moving with a constant speed. The slope of the line represents the rate of change in position per unit time, which remains constant throughout. Thus, the object is moving with a consistent speed, neither speeding up nor slowing down.

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The kinetic energy of Shawn, if the he has a mass of 43. 8 kg is 14.18 J.

This is the energy of a body due to its motion.

To calculate Shawn's kinetic energy, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, Shawn's kinetic energy is 14.18 J.

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To learn the equilibrium and temperature.

What is equilibrium?

When Newton's first law is true, the equilibrium state of an object is present. When all external forces (including moments) operating on an object in a reference coordinate system are equal, the object is said to be in equilibrium. The net effect of all external forces and moments acting on this object is zero as a result.

What is temperatue?

Temperature is a unit of measurement that can be expressed on a variety of scales, including Fahrenheit and Celsius. Temperature shows the direction of the spontaneous movement of heat energy, i.e., from a hotter body (one with a higher temperature) to a colder body (one with a lower temperature).

Their temperatures must be equal if two bodies are in thermal equilibrium.

As for coldness or warmth, we generally observe that metals feel colder while non metallic objects don't (i.e. comparatively they feel warmer than metals). This is due to the fact that metals are good conductor of heat. So when we touch a metallic body, heat flows from our body and is transferred to other points of the metal object. Since our body loses heat, we feel cold. In non metals, this conduction of heat from point of contact to other locations does not happen.

Therefore, the amount of heat loss from our body is much smaller. So we don't feel that cold.

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Answer: Choice A)

Explanation:

The combination of a wire coil and a core would make the weakest electromagnet 20 coils of insulated wire around a hollow cardboard core. Thus, option B is correct.

Electromagnet is a type of magnet that produces its magnetic field when an electric field is applied across the material. The electromagnet is the temporary magnet as it acquires the magnetic properties when the electric current passes through it. When there is no electric current, its magnetic properties disappear.

Electromagnet consists of a wire wound on the coil and the current passes through the wire. The wire wound on the coil is mostly a ferromagnetic material like iron and the coil is a soft iron core. In an electromagnet, the magnetic field depends on the number of turns of the coil and the current flows through it.

From the given, steel core is wounded with wire it makes a strong electromagnet depending on the number of turns of the coil. The cardboard core is not a ferromagnetic material and hence, a small number of turns over the cardboard forms the weakest electromagnet.

Hence, the ideal solution is option B)20 coils of insulated wire around a hollow cardboard core.

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The homogeneity of Einstein’s mass-energy relation  E = mc² can be proved by maxwell’s equation of electromagnetism.

According to maxwell’s equation of electromagnetism, light travels at a speed (c) of 3 x \(10^8\) m/s.

The momentum(p) of electromagnetic waves is proportional to the energy(E).

So, we can write it as

p = E / c                       -(i)

By cross multiplication

E = pc                          -(ii)

As we know

From newton’s second law, momentum (p) is the product of mass (m) and velocity (v)

p = mv                          -(iii)

since light travels with a speed (c) of 3 x 10^8 m/s

p = mc                         -(iv)

From the equations (ii) and (iv)

E / c = mc

Hence,

E = mc²

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Ferromagnetic materials can be magnetized more easily than other materials due to their ability to have their magnetic domains aligned. This property allows for a stronger and more pronounced magnetic effect compared to non-ferromagnetic materials.

Ferromagnetic materials, such as iron, nickel, and cobalt, have a unique property called ferromagnetism, which allows them to exhibit strong magnetic behavior. One of the key factors contributing to this property is the presence of magnetic domains within the material. Magnetic domains are regions within the material where the magnetic moments of individual atoms align in the same direction.

In the absence of an external magnetic field, the magnetic domains in ferromagnetic materials are randomly oriented, resulting in a net magnetic field of zero. However, when an external magnetic field is

applied, the domains can align in the direction of the field, resulting in a magnetized state.

What sets ferromagnetic materials apart from other materials is their ability to have their magnetic domains easily aligned. This means that the material can be magnetized more easily and exhibit a stronger magnetic effect. Once the external magnetic field is removed, the ferromagnetic material retains some degree of magnetization due to the aligned domains.

This characteristic of ferromagnetic materials makes them highly useful in various applications, including electromagnets, transformers, and magnetic storage devices.

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the voltage drop across the 202 resistor is 40 V. Hence option C is correct.

According to voltage divider rule

voltage across 20Ω resistor is

V = Vc R2/Rs

V = 120 (20/60) = 40 V

A straightforward circuit known as a voltage divider divides a high voltage into two smaller ones. We can produce an output voltage that is a small fraction of the input voltage using simply two series resistors and an input voltage. One of the most basic electrical circuits is the voltage divider. Learning about voltage dividers would be like learning how to spell cat if learning about Ohm's law was like learning the ABCs.

Hence option C is correct.

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Answer:

b

Explanation:

because a quark have many kinds of flavor

Answer:

\(\Large \text{A}\)

Explanation:

Flavor is the name given by scientists which refers to the type of quark.

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The vector sum of the two forces is 20  and the magnitude of the resultant is 20 towards positive x-axis.

A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.

If no vector can be written as a linear combination of the others, a set of vectors is said to be linearly independent.

The vector representation for the forces F and F are:

\(\rm \vec F_1 = 20 COS 60^0 \vec i + 20 SIN 60^0 \vec j\\\\ F_1 =20 \times \frac{1}{2} \vec i+20 \times \frac{\sqrt{3} }{2} \vec j \\\\ \vec F_1 = 10 \vec i+ 10 \sqrt{3} \vec J\)

\(\rm F_2 = 20 cos 60^0 \vec i+20 sin(-60) \vec j \\\\ F_2 = 20 \times \frac{1}{2} \times \vec i+20 \times \frac{\sqrt{3} }{2} \vec j \\\\ \vec F_2 = 10 \vec I -10\sqrt{3} \vec J\)

The vector sum of the two forces are;

\(\rm \vec R = \vec F_1+\vec F_2\\\\ \vec R = 10 \vec i+ 10 \sqrt{3} \vec J+10 \vec i-10\sqrt{3} \vec J\\\\ \vec R =20 i\)

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Atom A and atom C are the same element.

The buoyant force acting on the bag would be less than before, causing it to sink and fall faster.

Buoyancy or a buoyant force can be defined as the tendency of the fluid to exert an upward force on an item, which is totally or partially immersed in a fluid. Newton is the SI unit for buoyant force.

Upthrust is another name for this upward thrust. A body submerged partially or completely in a fluid appears to shed weight, or to be lighter, due to the buoyant force. Buoyant force is also known as upthrust as a result.

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When two things of differing temperatures come into contact, energy transfers from the hot (higher temperature) item to a cool (lower temperature) item until both objects achieve the same temperature.

The atoms and molecules in the system with the lower temperature are not vibrating because of their lower temperature. Hence, the moving atoms of a hotter system will collide with molecules and atoms of the cooler system, transferring the energy obtained from the hotter system.

When iron is heated inside a furnaces, the colour of a iron initially changes to a dull red, then brightens as the temperature rises, turning red, orange, yellow, gradually white, and eventually blue at the high temperatures.

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The rotational kinetic energy of a flywheel increases by 80% when its rotational speed increases by 40%. This is because the rotational kinetic energy of a flywheel is directly proportional to the square of its angular velocity.

The rotational speed of a flywheel increases by 40%. The percentage increase in its rotational kinetic energy is approximately 96.8%. Suppose the initial rotational speed of the flywheel is n1 and the initial rotational kinetic energy is K.E.1. After the speed of the flywheel is increased by 40 percent, the new speed is n2 = n1 + 0.4n1 = 1.4n1.

Then the new kinetic energy K.E.2 of the flywheel is given by K.E.2 = (1/2)I(n2^2)where I is the moment of inertia of the flywheel.Since n2 = 1.4n1, we have \(K.E.2 = (1/2)I(1.96n1^2) = 0.98I(n1^2).\).

Therefore, the percentage increase in the rotational kinetic energy of the flywheel is approximately 96.8%.

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Answer:

Jo

Explanation:

irradiating food doesn't make it radioactive (that's contamination) and beta particles are stopped by aluminium foil or thin metals, so it may not pass through thick packaging (usually gamma is used to irradiate foods as it can pass through the packaging)

The acceleration of the sliding block, given that it has a velocity of 6.45 m/s after 1.30 s is 3.72 m/s²

First, we shall list out the given parameters from the question. Details below:

The acceleration of the sliding block can be obtained as follow:

v = u + at

6.45 = 1.61 + (a × 1.3)

6.45 = 1.61 + 1.3a

Collect like terms

6.45 - 1.61 = 1.3a

4.84 = 1.3a

Divide both sides by 1.3

a = 4.84 / 1.3

= 3.72 m/s²

Thus, the acceleration of the sliding block is 3.72 m/s²

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Complete question:

The initial velocity of a 2. 14 kg block sliding down a frictionless inclined plane is found to be 1.61 m/s. Then 1.30 s later, it has a velocity of 6.45 m/s. What is the acceleration of the sliding block?

mass of an object is always constant

weight is a force, \(W=mg\) where $g$ is acceleration due to gravity.

Weight on earth is , $900=m\cdot 10 \implies m=90$ kg

weight on moon is $150=90\times g_{\text{moon}} \implies g=\frac{5}{3}$

Answer:

Isotopes

Explanation:

Answer:

This question is incomplete, as it lacks options. The options are:

A. chemical energy is the same and additional energy is produced as heat and light.

B. chemical energy is more than the amount of heat and light

C. the amount of chemical energy is less than the amount of heat and light energy

D. the amount of chemical energy equals the amount of heat and light energy.

The answer is D

Explanation:

According to the first law of thermodynamics, which is the LAW OF CONSERVATION OF ENERGY, energy is neither created nor destroyed but can only be changed from one form to another. This law states that no energy in a system is lost, hence, the input energy must be equal to the output energy.

When a log of wood is burnt, the chemical energy stored in it is converted to heat energy and light energy. Based on the law of conservation of energy, the amount of chemical energy present in the log before the burning process must equal the amount of light and heat energy it changed to after the burning process.

That is, chemical energy = light energy + heat energy.

A horizontal floor is the resting place for a 50 kg crate. The static friction coefficient between the floor and the crate is 0.75. Kinetic friction has a coefficient of 0.60. The minimum horizontal force required to start the crate moving is 367.5 N

To find the minimum horizontal force required to start the crate moving across the floor, we need to consider the static friction between the crate and the floor. The formula to calculate the maximum static friction is  Fs = μs × N

where Fs is the maximum static friction, μs is the coefficient of static friction, and N is the normal force.

The normal force N is equal to the weight of the crate, which is given by:

N = m × g

where m is the mass of the crate and g is the acceleration due to gravity.

Substituting the values, we have:

N = 50 kg × 9.8 m/s² = 490 N

Now we can calculate the maximum static friction:

Fs = 0.75 × 490 N = 367.5 N

Therefore, the minimum horizontal force required to start the crate moving is 367.5 N (magnitude only).

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The source of potential difference in an operating electrical circuit is typically a battery or generator.

The battery generates a voltage difference between its positive and negative terminals, creating an electric field that drives the flow of charge through the circuit. Voltmeters are used to measure the potential difference across components in the circuit, while ammeters are used to measure the current flowing through the circuit. Resistors are components that oppose the flow of current, causing a drop in potential difference across them.

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A lower condensation temperature for hydrogen compounds would have resulted in a substantially different solar system, with fewer rocky planets and an altered composition of the gas giants.

If hydrogen compounds in the solar nebula could only condense at temperatures below 50 K, it would have had a significant impact on the formation and composition of the solar system. Firstly, the overall composition of the planets and other celestial bodies would have been different.

The inner planets, including Earth, consist of rock and metal, which would not have formed without the higher temperatures required for condensation. Instead, the solar system would have been composed mainly of gas and ice.

Additionally, the formation of the gas giants, including Jupiter and Saturn, would have been different. These planets are composed mainly of hydrogen, helium, and other gases, but they also have icy cores. If hydrogens compounds only condensed at temperatures below 50 K, it is likely that their cores would have been larger and composed mainly of ice rather than gas.

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Answer:

733.9× 2.4

1761.36

Explanation:

The airplane refuels between city A and continues on to city B. It travels at an average speed of 733.9km/h. If the trip takes 2.4 hours, what is the flight distance between city A and city B?