Use the Newton's Law Triangle to solve the following problem
A bowling ball had 50 N of force when it accelerated down the lane at a rate of 2m/s2. How much mass did the bowling ball have?
________kilograms​

By conservation of momentum,

(2510 kg) (23.0 m/s) + (1750 kg) (12.3 m/s) = (4260 kg) v

where v is the velocity of the combined cars.

Solve for v :

(4260 kg) v = 79 255 kg•m/s

v ≈ 18.6 m/s

Increasing the resistance of a variable resistor wired in series with a light bulb will not affect the voltage drop on the bulb [FALSE].

A series circuit is a type of circuit arrangement, where the same current flows in each resistor of the circuit. Also Different voltage flow in each resistor of the circuit.

The total voltage drop in a series circuit is given as;

V = IR₁ + IR₂ + IR₃ + ----

V = I(R₁ + R₂ + R₃)

From the above equation, increase in the number of resistance, increases the voltage drop.

Thus, increasing the resistance of a variable resistor wired in series with a light bulb will not affect the voltage drop on the bulb [FALSE].

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Answer:

The sum of all the forces acting on an object is the net force or resultant force. If all the forces cancel out, the resultant force is zero, else, the unbalanced force will cause acceleration of the object. Force is a vector and hence has both a direction and magnitude. For example, gravitational force (on earth) acts in downward direction and has a magnitude equal to mass of the object and acceleration due to gravity. Once we know all the forces that are acting on a body, we resolve all of them into components (typically horizontal and vertical) and take summation of forces in each direction. If such forces cancel out (in each direction), the object maintains its state of rest or constant motion. If however, forces do not cancel out, there is a net resultant force on the object that will cause acceleration of the object (as given by Newton's second law of motion).

Explanation:

Answer:

15 000 N

Explanation:

Newtons Law 2. When a body is acted upon by a force, the time rate of change of its momentum equals the force.

F=ma

a=30m/s / 3s=10m/c²

F=1500kg*10m/c²=15 000 N

Answer:

2.14675

Explanation:

Formula: 123° × π/180 = 2.147rad

Answer:

142428.358 J must be added per kg of water.

Explanation:

because the heat of the water is 4.18 J per kg of water then 75 degrees Celcius is 142,432 J then 142432.53750000108 - 4.18 = 142428.358 J for per kg of water.

Answer:

waitt in comments... .................

The study of the cosmos provides scientists with a knowledge of the material universe although limited due to lack accurate tools and equipments for the study of the cosmos.

The cosmos refers to the entire universe including the things found in them.

Understanding and explaining the universe has as always been of interest to humans both ancient and model.

Humans in ancient times earlier modelled the earth to be the centre of the universe known as the geocentric model.

A heliocentric model was proposed later to replace the geocentric model.

Both ways of modelling was limited as cosmologists did not have the tools to accurately observe outer space.

Today, advances in technology has provided powerful tool to ore accurately model the cosmos.

Therefore, the study of the cosmos provided humans with a knowledge of the material universe though limitations of accurate tools and equipments for the study of the cosmos still exist.

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The period of the orbit of the spacecraft around Venus is 5187.3 seconds.

The period, T, of an object in circular motion is the time taken for one complete revolution.

The period, T, of the planetary body is given as:

[tex]T = 2\pi\sqrt{\frac{r^{3}}{Gm}}[/tex]

where;

Substituting the values:

[tex]T = 2\pi\sqrt{\frac{(6.05 \times 10^{6})^{3}}{6.67 \times 10^{ - 11} \times 4.87 \times 10^{24}}} = 5187.8s[/tex]

Therefore, the period of the orbit of the spacecraft is 5187.3 seconds.

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Length, l=1 km=1000 m

Radius, r=1 mm=10^−3 m

the resistance.

Specific resistance of copper:

ρ=1.72×10^−8

Area of cross-section:

A=π×r2=3.14×10^−6 m^2

Let the resistance be R.

As we know, R=ρ l/A

On substituting values:

R=1.72×10^−8×10^3/3.14×10^−6

=5.5 ohm

⇒ Resistance of the copper wire, is 5.5 ohm.

5.5 Ω

Explanation:

Given : l = 1 km = 1000 m, r = 1 mm = 10^-3 m,

[tex]a = \pi {r}^{2} [/tex]

[tex]= > 3.14 \times ( {10}^{ - 3} )^{2} \\ = > 3.14 \times {10}^{ - 6} \: {m}^{2} .[/tex]

[tex]specific \: \: resistance \: \: ρ \: \\ = > 1.72 \times {10}^{ - 8} Ω \: m[/tex]

Resistance (R) :-

[tex]R \: = ρ \times \frac{l}{a} \\ \\ = > \frac{(1.72 \times {10}^{ - 8} ) \times 1000}{3.14 \times {10}^{ - 6} } \\ \\ = > 5.5 \: Ω[/tex]

Explanation:

Answer: A

Explanation:

Isotopes of different elements differ by the number of neutrons inside the nucleus.

The isotope of uranium-238 is different from the isotope uranium-235 by number of neutrons in the nucleus.

Isotopes are two or more types of atoms that have the same atomic number and position in the periodic table, and that differ in nucleon numbers due to different numbers of neutrons in their nuclei.

Uranium-238 is the most common isotope of uranium found in nature, with a relative abundance of 99%. It can be used for radiation shielding or as projectiles in armor-piercing weapons.

Uranium-235 is the only naturally occurring fissile isotope, which makes it widely used in nuclear power plants and nuclear weapons.

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Answer:

yes.

Explanation:

Friction exists in space, just that not in the most familiar cases. Walking or rolling are not normally possible without gravity pushing both bodies in contact with a normal force. However the normal force does not have to be only gravity, it could be caused by pressure or some other force (thrusters, magnetism etc).

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Answer:

It is not possible to calculate the time it took to go up to 3 meters.

Explanation:

There are all forces that apply to this situation like gravity, friction, torque, and efficiency. To answer this question, I might need the specifications given before to answer this question.

No, the kinetic energy of the moving molecules in the sea water cannot be extracted for use. Details about kinetic energy can be found below.

Kinetic energy is a form of energy that is produced as a result of motion i.e. it is the energy possessed by a moving body.

This means that the kinetic energy of a moving body is specific to that body and dependent on the movement of that body. The kinetic energy is quickly converted to potential energy once the body stops moving.

Therefore, the kinetic energy of the moving molecules in the sea water cannot be extracted for use.

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With the use of formula, the resultant velocity is 64 m/s approximately.

Velocity is the distance travelled in a specific direction per time taken. Velocity is a vector quantity. It can be represented in a vector diagram.

The S.I unit of velocity is meter per second. That is, m/s

Given that the coordinate velocity  of a point of x-component Vx = t^3 - 1 and y-component Vy = t^2 - t at time t = 4. The resultant velocity of this point can be calculated by using the below formula.

[tex]V_{R}[/tex] = [tex]\sqrt{V_{x} ^{2} + V_{y} ^{2} }[/tex]

Where

Since time t = 4s.

For x - component,

[tex]V_{x}[/tex] = [tex]t^{3}[/tex] - 1

[tex]V_{x}[/tex] = [tex]4^{3}[/tex] - 1

[tex]V_{x}[/tex] = 64 - 1

[tex]V_{x}[/tex] = 63 m/s

For y - component

[tex]V_{y}[/tex] = [tex]t^{2}[/tex] - t

[tex]V_{y}[/tex] = [tex]4^{2}[/tex] - 4

[tex]V_{y}[/tex] = 16 - 4

[tex]V_{y}[/tex] = 12 m/s

[tex]V_{R}[/tex] = [tex]\sqrt{V_{x} ^{2} + V_{y} ^{2} }[/tex]

[tex]V_{R}[/tex] = [tex]\sqrt{63^{2} + 12^{2} }[/tex]

[tex]V_{R}[/tex] = [tex]\sqrt{4113}[/tex]

[tex]V_{R}[/tex] = 64.13 m/s

Therefore, the resultant velocity on that point is 64.13 m/s

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Answer:

B

Explanation:

force is anything that causes an object in motion to stop,an object at rest to move and an object moving in uniform direction

[tex]energy = elastic \: potential[/tex]

[tex]4 = \frac{1}{2} kx {}^{2} [/tex]

[tex]4 = \frac{1}{2} (2500)x {}^{2} [/tex]

[tex]4 = 1250x {}^{2} [/tex]

[tex]x {}^{2} = \frac{4}{1250} = 0.0032 \: meters[/tex]

[tex]x = \sqrt{0.0032} = 0.05657 \: meters[/tex]

Answer:

A. Drawings are no longer used because photography is more precise.

Explanation:

It is common practice for investigators to make a sketch of a crime scene.

Creating sketches of crime scenes is a common practice among investigators, as it provides valuable visual documentation that complements photographs and written notes. While photography is an important tool for capturing detailed and precise information, sketches offer unique advantages that contribute to the overall understanding of the crime scene.

Sketches can provide a clear and organized representation of the spatial relationships, distances, and dimensions within the crime scene. They can accurately depict the layout of the area, the position of evidence, the location of key objects, and other relevant details that may not be fully captured by photographs alone.

Additionally, sketches allow investigators to emphasize specific features or elements that are essential to the case. This can aid in explaining the sequence of events, the movement of individuals or objects, and other dynamic aspects of the crime scene.

While digital photography is widely used today, sketches remain valuable for scenarios where a camera may not immediately be available, when capturing certain angles or perspectives is challenging, or when highlighting specific details is necessary.

Investigators are trained in creating accurate and detailed sketches that adhere to professional standards. This includes ensuring accurate measurements, using appropriate scale ratios, labeling key features, and maintaining object proportions. Sketched crime scene diagrams are often included in official investigative reports and court proceedings to provide a comprehensive visual representation of the crime scene, enhancing the communication of information among investigators, legal professionals, and jurors.

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Answer:

37.4m/s

Explanation:

since the car doesn't accelerate, we can use the formula v=ωr where v is linear speed, ω is angular speed (rads/second) and r is radius. Substitute values for equation:

v=55*0.68

v=37.40

Answer:

Irradiance (sunlight intensity or power), in Watts per square meter falling on a flat surface. ... Air Mass refers to “thickness” and clarity of the air through which the sunlight passes to reach the modules (sun angle affects this value). ... Cell temperature , which will differ from ambient air temperature

Answer:

D. The DNA strands are different

Explanation:

K12 and I took the test

Here is proof

A mutation during replication affect the DNA cause the DNA strands are different. hence option D is correct.

Deoxyribonucleic acid is a polymer composed of two polynucleotide chains that coil around each other to form a double helix. The polymer carries genetic instructions for the origin, functioning, development, and reproduction of all known organisms and viruses. DNA and ribonucleic acid (RNA) are examples of nucleic acids. Nucleic acids, together with proteins, lipids, and complex carbohydrates (polysaccharides), are one of the four basic macromolecule groups necessary for all known forms of life.

Because they are made up of simpler monomeric units called nucleotides, the two DNA strands are known as polynucleotides. Each nucleotide is made up of one of four nitrogen-containing nucleobases (cytosine, guanine [G], adenine [A], or thymine [T]), deoxyribose, and a phosphate group. Covalent bonds link the nucleotides together to form a chain.

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Answer:

Gravity is the force that keeps us on our planet.

Explanation:

In space, the more mass you have, the more gravity you have. We all have gravity, however earth overpowers it.

Answer:

1 436 000 000 hrs     163 814 .7 years

Explanation:

40208000000000 km  / 28000 km/hr  =

The Space shuttle's speed is 28,000 km/hr, and the time it will take to get you there is 1436000000 hours or 163814.7 years.

Although Proxima Centauri cannot be seen normally with eyes, it is one of the most famous stars in the sky. This is because it is a member of the Alpha Centauri star system, which is the nearest stellar system to our sun and is home to three known stars.

Proxima, with a distance of 4.22 light-years from our sun, is thought to be the star in Alpha Centauri that is nearest to our sun of the three. For Proxima, astronomers have so far found two planets. It also produces large solar flares, and a strange radio signal may come from it.

According to the question :

The given distance is 4.3 light-years or,

Distance = 40,208,000,000,000 km

Given speed is 28,000 km/hr.

So the time it will take to get you up there is:  Distance/speed

Time = 40,208,000,000,000 km/28,000 km/hr

Time = 1436000000 hours or,

Time = 163814.7 years

Hence, the time taken to get you there will be 163814.7 years.

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Answer:

525 j

Explanation:

Work = force * distance

               350 N * 1.5 m =

The rule is

[tex]\\ \rm\Rrightarrow F=k\dfrac{q_1q_2}{R^2}[/tex]

Put that

[tex]\\ \rm\Rrightarrow F=\dfrac{k(1.0\times 10'C)}{R^2}[/tex]

The electric force between the two charged objects is (1/4πε₀)(1 x 10')/R².

Electric force is defined as the attraction or repelling force that exists between any two charged objects.

Here,

The product of the charges on the objects, q₁ x q₂ = 1 x 10' C²

Distance between the charges  = R

According to Coulomb's law,

The electrostatic force,

F ∝ q²

F ∝ 1/R²

Therefore,

F = (1/4πε₀)(q₁q₂)/R²

where ε₀ is the permittivity of free space.

F = (1/4πε₀)(1 x 10')/R²

Hence,

The electric force between the two charged objects is (1/4πε₀)(1 x 10')/R².

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Answer:

A. An attractive, weak force

Explanation:

I got it right

An attractive, weak force best explains the interaction between the two charges. The force between two charges is known as the Columb's force.

When the matter is put in an electromagnetic field, it has an electric charge, which causes it to experience a force. A positive or negative electric charge can exist.

Charges that are similar repel each other, whereas charges that are dissimilar attract each other. The term "neutral" refers to an item that has no net charge.

A large positive charge is placed very far away from a small negative charge. Due to the far distance, the force will be a weak force.

While due to the opposite polarity the charge is attractive in nature.

Hence an attractive, weak force best explains the interaction between the two charges

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Answer:

B same method

Explanation: