Use the velocity vs time graph to analyze the motion of the object.

(a)  If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)  if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

The force on an object is determined by applying Newton's second law of motion;

F = ma

[tex]\frac{F_1}{m_1a_1} = \frac{F_2}{m_2a_2}[/tex]

(a)

when the force is halved, F₂ = 0.5F₁,

mass is doubled, m₂ = 2m₁

[tex]\frac{F_1}{m_1a_1} = \frac{0.5F_1}{2m_1a_2} \\\\2m_1a_2F_1 = 0.5F_1 m_1a_1\\\\2a_2 = 0.5a_1\\\\a_2 = \frac{0.5a_1}{2} = \frac{a_1}{2 \times 2} = \frac{a_1}{4} \\\\a_2 = \frac{1}{4} (a_1)[/tex]

Thus, If the force is halved and the mass of the object is doubled, the acceleration will be one-fourth as great.

(b)

when the force is doubled, F₂ = 2F₁,

mass is halved, m₂ = 0.5m₁

[tex]\frac{F_1}{m_1 a_1} = \frac{2F_1}{0.5m_1 a_2} \\\\0.5m_1a_2 F_1 = 2F_1m_1a_1\\\\0.5a_2 = 2a_1\\\\a_2 = \frac{2a_1}{0.5} \\\\a_2 = 4(a_1)[/tex]

Thus, if the force on it is doubled and its mass is halved, the new acceleration will be four times as great.

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Answer:

Thermal energy may be transferred in three ways: conduction, convection, and radiation. Conduction occurs when heat energy is exchanged between nearby molecules that are in touch with one another.

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Answer:

Alternative energy is energy sources other than fossil fuels, including renewable sources and nuclear energy. However, nuclear energy is not classified as a renewable energy source, because it is mined from uranium and thorium elements, which cannot be replenished. Hoped this helped!!!

Addition of vectors:

vector u

has a magnitude of 20 and a direction of 0º with respect to the horizontal, vector v has a magnitude of 40 and a direction of 60º with respect to the horizontal.

a) Find the magnitude and direction of the resultant to the nearest whole

number.

Vector Sum:

The resultant of two vectors is simply the vector sum of the vectors. There are a handful of ways to present the resultant factor; the notation that shows the vector magnitude and direction is called the polar vector notation. An example of a vector presented in polar vector notation is

a∠θ where a is the magnitude and θis the angle that the vector makes with the horizontal axis.

Answer and Explanation:

Let's first present the vectors in rectangular vector notation.

For the vector →u of magnitude 20 and direction 0∘ to the horizontal axis, the vector is →u=^i20.

For the vector →v

of magnitude 40 and direction 60∘ to the horizontal axis, the vector is →v=^i40cos60∘+^j40sin60∘.

The resultant vector →w is the vector sum of the vectors, i.e.

→w=→u+→v

=^i20+^i40cos60∘+^j40sin60∘

=^i(20+40cos60∘)+^j(40sin60∘)

=^i40+^j20√3

For a vector ^ix+^jy, the magnitude of the vector is √x2+y2 and the direction above the horizontal axis is θ=tan−1(yx).

Let's use the formulas:

|→w|∠θ=√(40)2+(20√3)2∠tan−1(20√340)≈52.9∠40.9∘

The magnitude of the vector is about 53 units in the direction 41-degrees above the horizontal axis.

The magnitude of the resultant vector would be 60 units, and its direction will be 0°.

To find the magnitude and direction of the resultant vector when adding vectors u and v, we can use vector addition formulas:

Magnitude of the Resultant Vector (R):

R = √(u^2 + v^2 + 2uv * cosθ)

where:

u = magnitude of vector u (20)

v = magnitude of vector v (40)

θ = angle between vectors u and v (60°)

Plugging in the values:

R = √(20^2 + 40^2 + 2 * 20 * 40 * cos(60°))

≈ √(400 + 1600 + 1600)

≈ √3600

= 60

Direction of the Resultant Vector (θR):

Use the Law of Cosines to find the angle θR between the resultant vector R and vector u:

cosθR = (v^2 + R^2 - u^2) / (2 * v * R)

Plugging in the values:

cosθR = (40^2 + 60^2 - 20^2) / (2 * 40 * 60)

= (1600 + 3600 - 400) / 4800

= 1

Since cos(0°) = 1, we have θR = 0°.

So, the magnitude of the resultant vector is 60 units, and its direction is 0°.

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Answer:

Characterization is the process by which the writer reveals the personality of a character. Characterization is revealed through direct characterization and indirect characterization. Direct Characterization tells the audience what the personality of the character is.

Explanation:

Mood, or atmosphere, is the feeling created in the reader by a literary work or passage. ... Often, a writer creates a mood at the beginning of a work and then sustains the mood throughout. Sometimes, however, the mood of the work changes dramatically.

This question involves the concepts of uniform speed motion and average speed.

The average speed for the entire trip is "26.67 mi/h".

First, we need to find out the total time taken for the entire trip. For that purpose, we will break the entire trip into two halves of uniform speed motion:

[tex]Total\ Time = t_1+t_2\\\\Total\ Time = \frac{s_1}{v_1}+\frac{s_2}{v_2}\\\\Total\ Time = \frac{40\ mi}{20\ mi/h}+\frac{40\ mi}{40\ mi/h}\\\\Total\ Time = 2\ h + 1\ h\\Total\ Time = 3\ h[/tex]

Now, the average speed for the entire trip will be:

[tex]Average\ Speed = \frac{Total\ Distance}{Total\ Time}\\\\Average\ Speed =\frac{80\ mi}{3\ h}[/tex]

Average Speed = 26.67 mi/h

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The attached picture explains the concept of average speed.

Answer: Like  marathon runner is about 140 pounds

Explanation:

Answer:

Traditionally, the coaster cars are pulled up the first hill by a chain; as the cars climb, they gain potential energy.  Then, when the cars descend this hill, potential energy is again changed to kinetic energy. This conversion between potential and kinetic energy continues throughout the ride.

Explanation: hi how ya doing  

The final momentum of the ball after collision is 13 kg.m/s.

The given parameters;

Let the final momentum of the ball after collision = P₄

Apply the principle of conservation of linear momentum to determine the final momentum of the ball after collision;

total momentum before collision = total momentum after collision

P₁ + P₂ = P₃ + P₄

15 + 3 = 5 + P₄

18 = 5 + P₄

18 - 5 = P₄

13  = P₄

Thus, the final momentum of the ball after collision is 13 kg.m/s.

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Answer:

Surface tension is the result of water molecules pulling inward with a strong attractive force. This attractive force brings the molecules on the surface of the water close together and causes the surface of the water to be drawn toward the water molecules beneath the surface. Since there are no water molecules above the surface, there are uneven forces. This causes surface tension, allowing the coin to float on the water’s surface.

Explanation:

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Answer:

62.9%. The molar mass of sodium carbonate is 106 grams per mole. Each water molecule adds another 18.0 grams per mole.

Answer:

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Explanation:

This is ur answer....

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International system of units.French système international d'Unitès, international decimal system of weights and measures derived from and extending the metric system of units.Adopted by the 11th General conference on weights and measures (CGPM) in 1960, It is abbreviated SI in all languages.

Answer:

W = 5760 J

Explanation:

Use the formula:

Replace with the data, and solve:

The work done was 5760 Joules.

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Answer:

The frameshift mutation will also alter the first stop codon ("UAA", "UGA" or "UAG") encountered in the sequence. The polypeptide being created could be abnormally short or abnormally long, and will most likely not be functional.

Explanation:

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Answer:

-25ºC

Explanation:

Answer:

Decreases.

Explanation:

When an object with potential energy falls to the ground, its potential energy decreases and kinetic energy increases.

Answer:

Plato, Aristotle developed it further and used for 1400 years till Copernicus.

Explanation:

Answer:

400N

Explanation:

Answer:

This is to say that the vertical velocity changes by 9.8 m/s each second and the horizontal velocity never changes. This is indeed consistent with the fact that there is a vertical force acting upon a projectile but no horizontal force.

Explanation:

Answer:;

Explanation:

Answer:

A

Explanation:

or else u would get a muscle pull

Answer:

a

Explanation:

The equilibrium condition allows finding the result for the tension of the cable that supports the block is:

Newton's second law gives a relationship between force, mass and the acceleration of bodies, when the acceleration is zero it is called the equilibrium condition.

A free-body diagram of the forces is shown in the attachment.

Let's write the equilibrium equation for the vertical axis.

        2 [tex]T_1_y[/tex] - f - W = 0

          2 [tex]T_1_y[/tex]  = W + f

Let's use trigonometry to find the tension, as the angle indicates that it is relative to the vertical.

        cos 30 = [tex]\frac{T_1_y}{T_1}[/tex]  

        [tex]T_1_y[/tex]  = T1 cos 30

We substitute.

        2T₁ cos 30 = W + f

         T₁ = m g + f / 2 cos 30

         T₁ = [tex]\frac{6 \ 9.8 + 410}{2 \ cos 30}[/tex]  

         T₁ = 270.66 N

In conclusion using the equilibrium condition we can find the result for the tension of the cable that supports en bloc is:

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Answer:

Sound waves can reflect off surfaces. We hear sound reflections as echoes. Hard, smooth surfaces are particularly good at reflecting sound. This is why empty rooms produce lots of echoes.

Soft, rough surfaces are good at absorbing sound. This is why rooms with carpets and curtains do not usually produce lots of echoes.

Explanation:

With this information, you'd be able to come up with your answer,

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yea, by sound enegy example if uh speak a your sound knock on the object and react to your ears

Answer:

Two point charges are separated by 6.4 cm . The attractive force between them is 10 N .

units.

Explanation:

Answer:

See explanation

Explanation:

The vertical axis corresponds to the pressure of a substance, while the horizontal axis corresponds to the temperature. The solid is the substance which contains particles of strong intermolecular force and compaction, typically ionic at a certain temperature, the liquid is the substance which contains relatively compact molecules, however lacks a particular arrangement. The gaseous substance is caused by particles with weak intermolecular forces, causing particle movement and collision with no arrangement whatsoever. The triple point as shown in the diagram, is the phrase on a diagram where each substance: solid, liquid and gas coexist. The critical point is the phase at which the/a substance is indistinguishable between liquid and gaseous states. A substance or elements state is highly dependent on its environment and it’s temperature, of which ultimately affects its kinetic energy within its particles. This is what the graph portrays and represents.

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