A 2.5 –g bullet traveling at 350 m/s hits a tree and slows uniformly to a stop while penetrating a distance of 12 cm into the tree’s trunk. What force was exerted on the bullet in bringing it to rest?

Answer:

a. Yes, because the acceleration of the crate is 2.0 m/s².

Explanation:

Given

[tex]Force = 6N[/tex] --- f

[tex]Mass = 3kg[/tex] --- m

[tex]Time = 1.5s[/tex] --- t

[tex]Velocity = 3.0m/s[/tex] --- v

Required

Does the system support [tex]F=ma[/tex]

Yes, it does and this is shown below

The crate is initially at rest; so:

[tex]u = 0[/tex]

Using the first equation of motion

[tex]v = u + at[/tex]

Substitute values for v, u and t

[tex]3 = 0 + a*1.5[/tex]

[tex]3 = 1.5a[/tex]

Make a the subject

[tex]a = 3/1.5[/tex]

[tex]a = 2[/tex]

Using [tex]F = ma[/tex]

Substitute values for F and m

[tex]6 = 3 * a[/tex]

Divide both sides by 3

[tex]6/3 = 3/3 * a[/tex]

[tex]2 = a[/tex]

[tex]a = 2[/tex]

In both cases:

[tex]a = 2[/tex]

Hence, option (a) is correct.

Answer:

An element's mass number (A) is the sum of the number of protons and the number of neutrons. ... Protons and neutrons both weigh about one atomic mass unit or amu. Isotopes of the same element will have the same atomic number but different mass numbers.

Explanation:

Answer:

Nonliving things are composed of pure substances, living things are made of more complex units.

Explanation:

Is this what you are asking?

Answer:

They remain the same

Explanation:

As the molecule goes from reactants to products, the number of atoms in the each of the element remains the same.

This is in compliance with law of conservation of matter. The law proposes that "in a chemical reaction, matter is neither created nor destroyed by changed from one form to another".

So, since no matter is destroyed, the number of atoms during a chemical change remains the same before and after a reaction.

This is applicable to all chemical changes.

Answer:

the steel ball has more potential

Explanation:

Answer:

steel ball has more potential energy

Answer:

A

Explanation:

Distance (d)=300 miles

Time Taken (t)=6 hours

Here, In 6 hours a train travel distance= 300m

In 1 hours a train travel distance= 300m/6

= 50

Hence, Average Speed is 50 miles per hour.

The right option is A) 50 miles per hour.

To calculate the average speed of the train in miles per hour, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The right option is A) 50 miles per hour.

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Answer:

- 0.25m/s²

Explanation:

Given parameters:

Initial velocity  = 40m/s

Final velocity  = 30m/s

Time taken  = 40s

Unknown:

Acceleration of the car  = ?

Solution:

Acceleration is the rate of change of velocity with time.

 So;

  Acceleration  = [tex]\frac{Final velocity - Initial velocity }{time }[/tex]  

 Acceleration  = [tex]\frac{30 - 40}{40}[/tex]    =  - 0.25m/s²

This implies that the car will decelerate at a rate of 0.25m/s²

Answer:

2 lol

Explanation:

Answer:

The three main rock types are igneous, metamorphic and sedimentary.

The three processes that change one rock to another are crystallization, metamorphism, and erosion and sedimentation.

Any rock can transform into any other rock by passing through one or more of these processes. This creates the rock cycle.

No

ALL rocks are connected in a cycle of creation, change, and destruction which is known as what is referred to as the rock cycle.

The rock cycle begins with molten rock, i.e, the magma below ground and the lava above ground, which cools and hardens to form igneous rock. These sediments can then be buried and hardened forming sedimentary rock.

A rock is a solid mass of geological materials. They are naturally formed, non-living earth material. Rocks are made of collections of mineral grains that are held together in a firm solid mass

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Answer:

D. stress

Explanation:

hope this helps

Answer:

D. Stress

Explanation:

The increase along faults and leads to rock breaking would have the increase of stress from breaking a big rock

Answer:

5 and 3/4 meters

Explanation:

This is because if it is slowing down by 4 meters and it was moving at 23, then you would figure out how many times 4 can go into 23 and you'd get 5 and 3/4 meters.

Answer: 28.1

Explanation:

The total energy of the ball is the sum of its kinetic and potential energy. It is equal to 792 J. Then, the final velocity of ball when its strikes the ground is 28.1 m/s.

Kinetic energy of an object is the energy gained by its motion whereas, potential energy is stored on the object when the object is at rest.

The total mechanical energy of the ball = Ke + Pe

given, mass of the ball = 2 Kg

height h= 20 m

initial velocity = 20 m/s

Then total energy = 1/2 mv² + mgh =  2 kg  [(1/2(20 m/s)² + 9.8 m/s² ×20 m ] = 792 J.

The final velocity Vf = √(2E/m) =√(2×792 J/m)/2 Kg = 28.1 m/s

Therefore, the final velocity of the ball will be 28.1 m/s.

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Answer: - 0.75 m

Explanation: The displacement will be the sum of the slope of the graph within the given time. From time 8s to 16s, the slope m will be; Slope = (15 - 6) / (16 - 8) Slope = 9 / 8 From time 16s to 24s Slope = (15 - 0) / ( 16 - 2 Slope = -15 / 8 Displacement = 9/8 - 15/8 Displacement = -6/8

Displacement = - 0.75 m

Answer:

I. A radio transforms electrical energy into sound energy = audio sound.

II. A bulb converts electrical energy into heat and light energy = light.

III. A standing fan converts electrical energy into kinetic energy.

IV. The sun converts nuclear energy into light and heat energy.

V. A microwave oven converts wave energy into heat energy.

Explanation:

Energy can be defined as the ability of a body to do work. There are different forms of energy and these includes; electrical energy, sound energy, light energy, wave energy, nuclear energy, solar energy, etc.

According to the law of conservation of energy which states that, energy cannot be destroyed but can only be converted or transformed from one form to another.

Hence, some examples of energy being converted or transformed are;

I. A radio transforms electrical energy into sound energy = audio sound.

II. A bulb converts electrical energy into heat and light energy = light.

III. A standing fan converts electrical energy into kinetic energy.

IV. The sun converts nuclear energy into light and heat energy.

Answer:

1. True

2. True

3. True

4. True

5. False

Explanation:

1. Indeed, many health experts often recommend that when children reach the age of adolescents (between ages 10 and 19) they should eat a variety of foods daily in other to have enough energy and nutrients needed for development.

2. Having regular meals (mornings, afternoon, and evenings) has for long been encouraged by medical professionals in other to provide the body its fuel.

3. Some skin problems have long been associated with too much consumption of sweets and desserts since these products often contain sugars, and excess processed sugar intake is said to increase acne and eczema.

4. Just as the name suggests, the food pyramid is a visual representation that contains how many servings from each food group in other be healthy.

5. This is false because throughout the growth stages of life it is essential to get the needed food nutrients such as  calcium, iron, protein, and energy foods.

Answer:

Specific heat is defined by the amount of heat needed to raise the temperature of 1 gram of a substance 1 degree Celsius (°C). Water has a high specific heat capacity which we'll refer to as simply "heat capacity", meaning it takes more energy to increase the temperature of water compared to other substances.

Explanation:

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Answer:

0.2g/cm³  

Explanation:

Given parameters:

Mass of the beef  = 11.6g

Volume  = 58cm³  

Unknown:

Density  = ?

Solution:

Density is the mass per unit volume of a substance.

  Density  = [tex]\frac{mass}{volume}[/tex]  

So;

  Density  = [tex]\frac{11.6}{58}[/tex]    = 0.2g/cm³  

Answer:

30N*s

Explanation:

Given the following data;

Force = 10N

Time = 3 seconds

To find the impulse;

Impulse = force * time

Substituting into the equation, we have;

Impulse = 10 * 3

Impulse = 30Ns

Answer:The equation is balanced for both charge and nucleon number, as required.

Explanation:2713Al + 42He → 3015P + n

Answer:b

Explanation:

Answer:

B

Explanation:

edg

Answer:

trough

Explanation:

It is the lowest point of the wave

Answer:

The charge 3q must be placed at a distance of 1.73d away from the origin.

Explanation:

The electric field at the origin due to q at distance, d from the origin is E = q/4πε₀d².

The electric field at the origin due to 2q at distance, d from the origin is E' = -2q/4πε₀d². (It is negative since it its directed towards the negative x-axis)

Now, the net electric field at the origin due to both charges is thus E" = E + E' = q/4πε₀d² + (-2q/4πε₀d²) = q/4πε₀d² - 2q/4πε₀d² = -q/4πε₀d².

The electric field due to 3q at a distance x from the origin is E₁ = 3q/4πε₀x².

Now, the net electric field E' must cancel out E₁ so that the electric field at the origin is zero.

So, E' + E₁ = 0

E' = -E₁

-q/4πε₀d² = -3q/4πε₀x²

1/d² = 3/x²

taking inverse of both sides, we have

x²/3 = d²

multiplying both sides by 3, we have

x² = 3d²

taking square root of both sides, we have

x = (√3)d

x = ±1.73d

So, the charge 3q must be placed at a distance of 1.73d away from the origin.

Answer:

A

Explanation:

Answer:

Answer A-93

Explanation:

Answer:

Explanation:

i think the first questions answer is A. amplitude

the second questions answer is also A. transverse wave

Answer:

B. Frequency and transverse

Answer:

19 x 85 = 1,615 for distance. Displacement is 0

Explanation:

The total distance traveled by the ant in 9 round trips and one 1/2 trip, or 19 one bash way trips: 19 x 85cm = 1615cm. The displacement of the ant after the tenth trip is 0 cm ( the displacement origin is the nest.)