A 10.0 gram moving at 400.0 m/s is brought to a stop in 3.00 cm in a block of wood. Find the force on the bullet, assuming that it is constant.

Answers

Answer 1
The work done to stop the bullet is equal to the variation of kinetic energy of the bullet:
[tex]W=K_f - K_i[/tex]
where Kf is the final kinetic energy of the bullet, while Ki is the initial kinetic energy.
The final kinetic energy is zero (because the final velocity of the bullet is zero), while its initial kinetic energy is
[tex]K_i = \frac{1}{2}mv_i^2 = \frac{1}{2}(0.010 kg)(400.0 m/s)^2 =800 J [/tex]
So, the work done to stop the bullet is
[tex]W=-K_i = -800 J[/tex]
with a negative sign because the direction of the force applied by the block of wood is opposite to the direction of motion of the bullet.

Now, we know that the work is the product between the force F and the distance d:
[tex]W=Fd[/tex]
Therefore, if we re-arrange the formula and we use d=3.00 cm=0.03 m, we can find the intensity of the force (neglecting the sign of the work):
[tex]F= \frac{W}{d}= \frac{800 J}{0.03 m}=2.67 \cdot 10^4 N[/tex]

Related Questions

A system has 410 J of potential energy and 80 J of kinetic energy. Then 90 J of the potential energy is converted into kinetic energy. How much work was done on the system?

Answers

90 J is your answer my good sir

When the distance between two charges is halved, the electrical force between them?

Answers

If the distance between two charges is halved, the electrical force between them increases by a factor 4.

In fact, the magnitude of the electric force between two charges is given by:
[tex]F= k \frac{q_1 q_2}{r^2} [/tex]
where
k is the Coulomb's constant
q1 and q2 are the two charges
r is the separation between the two charges

We see that the magnitude of the force F is inversely proportional to the square of the distance r. Therefore, if the radius is halved:
[tex]r'= \frac{r}{2} [/tex]
the magnitude of the force changes as follows:
[tex]F'=k \frac{q_1 q_2}{r'^2}=k \frac{q_1 q_2}{( \frac{r}{2})^2 }=k \frac{q_1 q_2}{ \frac{r^2}{4} } =4k \frac{q_1 q_2}{r^2}=4 F [/tex]
so, the force increases by a factor 4.
Final answer:

When the distance between two charges is halved, the electrical force between them quadruples.

Explanation:

When the distance between two charges is halved, the electrical force between them quadruples. This is because the electrical force between charges is inversely proportional to the square of the distance between them. So, if the distance is halved, the force becomes four times stronger.

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The orbit of the planets in our solar system is generally due to which characteristic of the Sun?
A) the Sun's large volume
B) the majority of the Sun is hydrogen
C) the Sun's strong gravitational field
D) the surface temperatures of the Sun are high

Answers

The answer to your question is C.  the Sun's strong gravitational field . This is correct because i took the test :D

According to Charles's Law, if the temperature of a gas increases, the volume __________.

A. increases
B. decreases
C. stays the same
D. increases, then decreases

Answers

The correct answer is

A. increases

In fact, Charles's Law states that when the pressure of a gas is kept constant, the absolute temperature of a gas and its volume are directly proportional:

[tex]V=kT[/tex]

where V is the volume and T is the absolute temperature, while k is a proportionality constant. Therefore, we see from the equation that if the temperature increases, the volume of the gas increases as well.

Final answer:

According to Charles's Law, if the temperature of a gas increases, the volume also increases, since they are directly proportional when pressure is held constant.

A is correct

Explanation:

According to Charles's Law, if the temperature of a gas increases, the volume increases. This is because Charles's Law states that the volume of a given amount of gas is directly proportional to its temperature on the Kelvin scale when the pressure is held constant. A useful visualization of this principle is to consider a balloon filled with air. If this balloon is put in a warmer environment, as the gas inside heats up, the balloon will expand.

If the temperature were to decrease, the opposite would happen: the volume of the gas would decrease, as seen when a balloon shrinks in a cooler environment. This relationship is quantitatively described by the formula V1/T1 = V2/T2, where V stands for volume and T stands for temperature in Kelvin. Therefore, if we increase the temperature of a gas (while keeping the pressure constant), we can expect its volume to increase correspondingly.

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The material or substance that a wave moves through is called a ____
. The medium affects the speed of the wave that passes through it. One factor that affects the speed of a wave is the ____
of medium. Some waves move faster in solids and some waves move faster in liquids and gases. Another factor that affects wave speed is the ____
of the medium.

Answers

Answer:

The material or substance that a wave moves through is called a MEDIUM. The medium affects the speed of the wave that passes through it. One factor that affects the speed of a wave is the TYPE of medium. Some waves move faster in solids and some waves move faster in liquids and gases. Another factor that affects wave speed is the TEMPERATURE of the medium.

Explanation:

As we know that the speed of the wave is given as

[tex]v = \sqrt{\frac{E}{\rho}}[/tex]

here we know that

E = elasticity of the medium

[tex]\rho [/tex] = density of the medium

So here we know that speed of the wave will change with the elasticity of the medium which meas it is the type of medium on which the speed of wave will depends upon.

Another we can say for liquid or gas we can say that

[tex]\frac{E}{\rho} = \frac{\gamma RT}{M}[/tex]

so speed will depends on the temperature of the medium

so here answers are

1)Medium

2)Type of medium,

3)Temperature

It should be noted that  material or substance that a wave moves through is called a medium.

It should be noted the the medium affects the speed of the wave that passes through it. One factor that affects the speed of a wave is the type of medium.

It should be noted that some waves move faster in solids and some waves move faster in liquids and gases. Another factor that affects wave speed is the  temperature of the medium.

A wave can regarded as the disturbance, it can move through a medium and there are different medium for propagation

The speed of wave can be affected by temperature and some wave moves faster in solids and some waves move faster in liquids .

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Exposure to high energy electromagnetic radiation such as waves can cause cancer sterility and death

Answers

I dont know what it is you are asking but I can definitely say that this is true.

Answer:there’s a blank at “such as___waves”

Explanation:

I need the answer too

Type your answers here for questions 1-6.

1.
2.
3.
4.
5.
6.

Answers

1) Pulley
2) Ramp
3) Wedge
4) Screw
5) Wheel and Axle
6) Lever

Here you go!
1. pulley
2. inclined plane (ramp)
3. wedge + lever (axe handle as lever, chisel as wedge)
4. screw
5. wheel and axle
6. lever

Barometric pressure has been dropping all day. what weather conditions will most likely occur? calm weather stormy weather hot weather sunny weather

Answers

The correct answer is "stormy weather".

In fact, barometric low pressure is generally associated with rain, precipitations, or more in general with bad weather. On the contrary, high atmospheric pressure is usually associated with sunny weather.

Low barometric pressure all day indicates stormy weather condition.

Answer: B. Stormy weather

Explanation:

Barometric pressure is the pressure showed in a barometer which will be proportional to the atmospheric pressure.

When the pressure is low in the barometer that means there is origin of low pressure trough in long range of area.

The low pressure trough will increase warm air in the sea level leading to formation of storms in the sea which will lead to heavy rains or stormy weather like condition in the land area.

The diagram shows a coiled wire that carries an electrical current. What do the arrows represent?

Answers

The electric field? Sorry if it is incorrect.

How does the redshift of distant galaxies best support the big bang theory? It shows that the galaxies are becoming warmer. It shows that the galaxies are becoming larger. It shows that the galaxies are moving farther away. It shows that the galaxies are shrinking in size.

Answers

It shows that galaxies are moving further away

Answer:

It shows that the galaxies are moving farther away.

Explanation:

When light from the galaxies is shifted towards the longer wavelengths, it is called red shift. When light shifts towards the shorter wavelengths, it is called blue shift. Big bang theory states how the primordial universe started expanding from a hot and dense singularity, in the process of evolution of the universe.

The  universe is expanding always. Galaxies that are a part of the universe keep expanding and move farther away from each other. The galaxies that are very far off appear to  move much faster than the nearby galaxies.

What does the second law of thermodynamics say about entropy apex?

Answers

The Second Law of Thermodynamics specifies that in a spontaneous process, entropy either increases or remains constant, but never decreases, emphasizing the irreversible nature of physical processes. It also inherently defines heat transfer directionality, where heat flows from higher to lower temperatures, ultimately increasing entropy.

The Second Law of Thermodynamics asserts that the total entropy of a system in a spontaneous process either increases or remains the same; it does not decrease. In practical terms, this law shows that energy in the form of heat naturally flows from objects at a higher temperature to those at a lower temperature, contributing to an overall increase in entropy. This is because the quantity (Δ S = Q/T) reveals a higher change in entropy at lower temperatures. Thus, while the entropy of the hotter body decreases, the colder body experiences a greater increase in entropy, resulting in a net increase in the entropy of the system.

The second law is closely related to the concept of entropy itself. Entropy is a measure of disorder or randomness in a system, and by stating that entropy tends to increase, the Second Law acknowledges the irreversible nature of real-world processes. Although energy is conserved according to the First Law of Thermodynamics, entropy is not, signifying a fundamental difference in how these quantities behave in thermodynamics.

Implications at Absolute Zero

As for the behaviour of entropy at very low temperatures approaching zero (T→ 0), the second law does not specifically address this scenario, making it one of the interesting unanswered questions in thermodynamics.

The second law of thermodynamics states that the total entropy of a system either increases or remains constant in any spontaneous process; it never decreases. This means that heat transfers energy spontaneously from higher- to lower-temperature objects.

The second law of thermodynamics states that the total entropy of a system either increases or remains constant in any spontaneous process; it never decreases.

This implies that heat transfers energy spontaneously from higher- to lower-temperature objects, but never spontaneously in the reverse direction.In mathematical terms, for any reversible process, the change in entropy (ΔS) is given by ΔS = Q/T, where Q is the heat added to the system and T is the temperature. An important consequence of this law is that the entropy of the universe always increases over time, or remains constant in ideal cases where the system is in a steady state or is undergoing a reversible process.For example, when you place a hot object in contact with a cold one, heat will flow from the hot object to the cold one, increasing the total entropy of the system. The decrease in entropy of the hot object is less than the increase in entropy of the cold object, resulting in a net increase in entropy.

Thus, the second law of thermodynamics fundamentally outlines the direction of spontaneous processes and the inevitable increase in entropy, representing disorder or randomness, in isolated systems.

Two positions of the sun, moon, and Earth are described below: Position A: Moon is between the sun and Earth Position B: Moon and sun are at right angles to each other relative to Earth

Which statement is true regarding the type of tides that can occur?

A neap tide can occur for both positions A and position B.

A spring tide can occur for both positions A and position B.

A neap tide can occur for position A but not for position B.

A spring tide can occur for position A but not for position B.

Answers

Position A: Moon is between the sun and Earth
Position B: Moon and sun are at right angles to each other relative to Earth 

A spring tide can occur for position A but not for position B.

A spring tide can occur for position A but not for position B. This statement is true regarding the type of tides that can occur. Hence option D is correct.

What is spring tide and neap tides ?

A spring tide, sometimes referred to as a "King Tide," is the term used to describe the tide's springing forth' during new and full moons.

Seven days following a spring tide, there is a period of moderate tides known as a neap tide, which occurs when the sun and moon are at right angles to one another.

The ocean is "tugged" back and forth by the gravitational attraction of the moon and the sun when these bodies interact with the Earth in their monthly and yearly orbits, causing long-period waves to roll around the globe.

Average tidal ranges are a little bit larger during full or new moons, which happen when the Earth, sun, and moon are approximately aligned. That happens twice a month. When the moon lies exactly between the Earth and the sun, it seems fresh (dark). When the Earth is situated between the moon and the sun, the moon seems to be full. In both instances, the Earth's seas bulge a little bit more than usual due to the gravitational attraction of the sun being "added" to that of the moon. This indicates that the high tides are a bit higher and the low tides a little lower than usual.

Hence option D is correct.

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What is big and green with horns and jumps high?

Answers

the answer would be a frog!

Answer:

Bullfrog

Explanation:

There is a species of frogs generally found in America known as Bullfrog. Bullfrog has horns. These types of frogs are very big and they can jump very high.

Thus, answer is Bullfrog.

How crowded is the asteroid belt? do spacecraft have trouble traveling through it? answer?

Answers

The belt is not crowded, so spacecraft do not have the trouble to avoid asteroids to get through it. The asteroid belt is not something you would consider crowded. It should be stressed that asteroids in the belt are not evenly distributed. They are clustered into families and groups. But even such clustering is not worthy of attention compared to the vast space it occupies.
Final answer:

The asteroid belt, although home to a significant portion of known asteroids, isn't as crowded as it may initially appear due to the large volume of the belt. Spacecraft have successfully navigated through this space without collision due to the substantial distance, in the realm of millions of kilometers, between asteroids.

Explanation:

The asteroid belt, primarily located between Mars and Jupiter, appears crowded due to the large quantity of asteroids, over 75% of the known total. But, in reality, the volume of the belt is massive, and these asteroids are not located close to each other. Typically, the distance between objects, even those as small as 1 kilometer in size, is several million kilometers.

As for spacecraft traversing the asteroid belt, although it may seem perilous, it's actually not typically an issue. Spacecraft like Galileo, Cassini, Rosetta, and New Horizons have successfully traveled through the asteroid belt without any collisions. Pioneer missions by NASA have also navigated through the belt without any significant incident, proving that it's achievable.

In reality, despite the large number of celestial objects in the asteroid belt, there is far more empty space than asteroids. This vast space between asteroids has facilitated space missions effectively without much risk of collision.

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