A student notices that he does better on tests if he sleeps for at least 8 hours. He decides that for the next 3 tests he has in science class, he will sleep different amounts of times and see how he does on his tests. For his next science test, he sleeps only 4 hours the night before, 6 hours before the next test, and 8 hours before the final exam. The chart shows his data. grade Test 1 2 3 Hours of Sleep 4 6 8 Grade 56 75 80 What is the dependent variable?​

Answers

Answer 1

The dependent variable in the experiment in which a student sleeps different intervals of time to get different grades is the grade

In this experiment,

Independent variable = Hours of sleepDependent variable = GradesControl variable = The student

An independent variable is the variable that can be altered by the researcher to get different results. The dependent variable is the variable that gets altered due to the change in independent variable.

Therefore, the dependent variable is the Grades

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Related Questions

A projectile is fired horizontally at 180 m/sec from an altitude of 734.7 m. What is the final vertical velocity of the projectile as it hits the ground?

Answers

A projectile is fired horizontally at 180 m/sec from an altitude of 734.7 m. The final vertical velocity of the projectile as it hits the ground will be 216.36 m/s

s = u*t + 1/2 * a * [tex]t^{2}[/tex]

734.7 = 180 * t + 1/2 * g  * [tex]t^{2}[/tex]

734.7 =  180 * t + 1/2 * 9.8  * [tex]t^{2}[/tex]  

         = 4.9  [tex]t^{2}[/tex]   + 180 t - 734.7

by solving the above quadratic equation , we get

t = 3.71 seconds

v = u + at

v = u + g*t

v = 180 + (9.8)(3.71)

 = 216.36 m/s

The final vertical velocity of the projectile as it hits the ground will be 216.36 m/s

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Please help, this question is on viscosity!

A steel ball of mass m falls in a viscous liquid with a terminal velocity v. Another steel ball of mass 64 m will fall through the same liquid with a terminal velocity
(1) v
(2) 4 v
(3) 8 v
(4) 16 v
(5) 2 v​

Answers

Correct Answer in photo below. I would appreciate it if you mark my answer as brainliest.

An Air Force jet flying with a speed of 335 m/s went pass an anti aircraft gun.how far is the aircraft 5s later when the gun was fired

Answers

The aircraft after 5s later when the gun was fired was at a distance of 1675m flying with a speed of 335m/s.

Air force jet was flying with a speed of 335m/s and at that time gun was fired by anti aircraft.

The formula of speed is S= distance(d)/time(t)

The unit of distance is in meters,

Speed is in meter/second

Time is in seconds

Substituting the values given in this equation

335m/s= d/5s

d= 335*5

d= 1675m

Thus, after 5 seconds from the gun fired by anti aircraft, the airforce jet will be 1675m far.

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Why is silver tarnishing a chemical change and not physical? ​

Answers

Because, as the silver reacts with sulfuric gases, it forms an altogether new, different substance: tarnish.

White's style is directed at all but one of the following. Which one?

Answers

White's narrative approach encourages families to option a. create alternative accounts of their lives.

What is the narrative therapy approach?

A type of therapy called narrative therapy seeks to detach the patient from the issue, allowing them to externalize their problems rather than keep them inside. It depends on the person's own abilities and sense of purpose to get them through challenging situations.

Note that Writing or reading stories with problems and answers related to the person's circumstances might be part of a narrative approach. The goal of narrative techniques is to give children a different means of expressing their feelings through words.

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See full question below

White's narrative approach encourages families to:

a. create alternative accounts of their lives

b. gain awareness of the origins of their problem

c. attend to reflecting team observations

d. develop a problem-saturated perspective

Two protons (charge q= 1.602·10-19 C) move at the same speed v= 1.4 ·106 m/s in opposite directions parallel to the x-axis. At the instant when they are at the same x-position, the proton moving in the negative direction is at distance r= 0.7 mm in the positive y-direction with respect to the one moving in the positive direction.

What is the magnitude of the magnetic field at the point of the proton moving in the negative direction?
B=


What is the magnetic force direction experienced by the proton moving in the negative direction?
FB=

Answers

(a) The magnitude of the magnetic field at the point of the proton moving in the negative direction is 2.1 x 10⁻⁹ T.

(b) The magnetic force direction experienced by the proton moving in the negative direction is 4.71 x 10⁻²² N.

What is the magnetic field due to the proton?

The magnitude of the magnetic field at the point of the proton moving in the negative direction is calculated as follows;

F = qvB = kq²/r²

qvB = kq²/r²

B = kq²/qvr²

B = kq/vr²

where;

k is coulomb's constantq is the magnitude of charge of the protonsr is the distance between the protonsv is the speed of the proton

B = (9 x 10⁹ x 1.602 x 10⁻¹⁹) / (1.4 x 10⁶ x 0.7 x 10⁻³ x 0.7 x 10⁻³ )

B = 2.1 x 10⁻⁹ T

The magnetic force direction experienced by the proton moving in the negative direction is calculated as follows;

F = qvB

F = 1.602 x 10⁻¹⁹ x 1.4 x 10⁶ x  2.1 x 10⁻⁹

F = 4.71 x 10⁻²² N.

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PLEASEEE HELP ASAPPP
A team of dogs is pulling a person in a sled in the snow. The dogs are attached by a harness that is parallel to the ground. The combined mass of the person and the sled is 62.5 kg.The coefficient of kinetic friction is 0.190 ,and the harness tension is 180.0 N. Determine the sled’s acceleration.

Answers

The acceleration of the sled of combined mass 62.5 kg is 1.018 m/s².

What is acceleration?

Acceleration is the rate of change of velocity.

To calculate the acceleration of the sled, we use the formula below.

Formula:

a = (T-mgη)/m............... Equation 1

Where:

a = Acceleration of the sledm = Mass of the person and the sledT = Tension pn the hernessg = Acceleration due to gravityη = Coefficient of kinetic friction

From the question,

Given:

T = 180 Nm = 62.5 kgg = 9.8 m/s²η = 0.19

Substitute these values into equation 1

a = [180-(62.5×9.8×0.19)]/62.5a = (180-116.375)/62.5a = 1.018 m/s²

Hence, the acceleration of the sled is 1.018 m/s².

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1. An object is dropped to the ground and its momentum increases. Explain how the law of
conservation of momentum and Newton's third law of motion can be applied to this
situation.

Answers

An object is dropped to the ground and its momentum increases. Due to this influence of the earth's gravitational pull, the total momentum of the free-falling body is conserved and earth and object is exerting equal and opposite forces on each other , hence newton's third law of motion  is also applied

When a body is freely falling , both the body and earth will exert an equal and opposite force on each other due to newton's third law of motion which says every action has a reaction .

The Earth itself accelerates (ever so slightly) toward the object at the same time. The opposite-direction velocity of the Earth will be exactly proportional to the ratio of the object's mass to Earth's mass, thus exactly balancing momentum , hence momentum is conserved .

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A tank with a flat bottom is filled with water to a height of 7.5 meters. What's the pressure at any point at the bottom of the tank?

Answers

A tank with a flat bottom is filled with water to a height of 7.5 meters. The pressure at any point at the bottom of the tank will be 174825 Pascal

Pressure at the flat bottom will be = Po + P(h)

Po = atmospheric pressure

P(h) = Pressure due to water

density of water = rho = 1000 kg / [tex]m^{3}[/tex]

Pressure at the flat bottom will be = 101325 Pa + 1000 * 9.8 * 7.5 = 174825 Pascal

The pressure at any point at the bottom of the tank will be 174825 Pascal

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Calculate the force of gravity on the 1.4-kg mass if it were 1.3x107 m above Earth's surface (that
is, if it were three Earth radii from Earth's center).

Answers

The gravitational force acting on the 1.4 kg mass at 1.3 x 107 m above the Earth's surface

What makes gravity a force, exactly?

However, gravity is a force in the broadest sense since it characterizes the resulting interaction between two masses. The warping of spacetime and the motion of objects thru the stretched spacetime are the main causes of gravitational effects. However, the result seems to be the effect of using force.

Why does gravity not have more force?

According to string theory, the universe must include at least four additional spatial dimensions in addition to the three that we can now perceive. Gravity is so weak, say the best theories of string theory.

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How might these traits change from individual to individual? (Hint: Do you think the newts are all exactly the same color or size?)

Answers

Newts hatch in water, but they spend the most of their lives on land, returning to water only for mating.

They have rough skin, are 8 inches long, and have stubby legs and fangs. In the Pacific Northwest, some of them are toxic.

Rough-skinned newts have brown skin on their backs and bright orange skin on their bellies. When frightened by predators, these newts coil their bodies and show off their orange necks and tails. Predators are warned to stay clear from this orange tint.

It is to be noted that none of the newts are the same traits that is color or size.

What are traits?

A phenotypic trait (simply trait or character state) is a distinct variety of an organism's feature that is visible and quantifiable and manifests itself in an observable manner.

For example, eye color (green, blue, brown, and hazel) is a phenotypic feature that is passed down by polygenetic inheritance.

Height, wing length, and hair color are all phenotypes. Phenotypes also include observable traits that may be evaluated in the lab, such as hormone levels or blood cell counts.

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A 1-column table. The first column labeled properties of mixtures has entries has no set composition, must have more than one state of matter, must have more than one substance.
What mistake did Dominic make?

The title should read “Properties of Solutions” because some mixtures do not have all of the properties listed.
There is a definite recipe to make each mixture, so the composition of a mixture is set.
Although it is possible to have more than one state, it is also possible to have only one state.
A single substance can be used to make a mixture if the substance is composed of more than one element.

Answers

The mistake that Dominic made in the above prompt is: "Although it is possible to have more than one state in mixtures, it is also possible to have only one state." (Option C).

What is a mixture?

A mixture is a material composed of two or more separate chemical components that are not chemically linked. A mixture is the physical combination of two or more substances that retain their identities and are blended in the form of solutions, suspensions, and colloids.

Mixtures are classified into two types: heterogeneous and homogeneous. Heterogeneous mixes feature distinct components, whereas homogeneous mixtures look uniform throughout. A solution, which can be solid, liquid, or gas, is the most frequent form of homogeneous combination.

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A cap 6.000 cm in diameter plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure. The container is submerged to a depth of 10.00 ft in water. Assume the plug is planar and the pressure over the container is equalized. The force needed to remove the plug is closest to?

Answers

The force needed to remove the plug that is 6.000 cm in diameter which plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure is 85 N

P = F / A

P = ρ g h

P = Pressure

F = Force

A = Area

ρ = Density

g = Acceleration due to gravity

h = Height

ρ = 1000 kg / m³

g = 9.8 m / s²

h = 10 ft = 3.048 m

A = π r²

d = 6 cm = 0.06 m

r = d / 2 = 0.06 / 2

r = 0.03 m

A = 3.14 * 0.03 * 0.03

A = 0.002826 m²

Equating both formulae of P,

F / A = ρ g h

F = 1000 * 9.8 * 3.048 * 0.002826

F = 85 N

Therefore, the force needed to remove the plug is closest to 85 N

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The force acting on a particle varies as in the figure below. (The x axis is marked in increments of 10.0 m.)
Find the work done by the force as the particle moves across the following distances.
(a) from x = 0 m to x = 80.0 m
(b) from x = 80.0 m to x = 120.0 m
(c) from x = 0 m to x = 120.0 m

Answers

The amount of work that the force does as the particle crosses the 21.0 J. Work done refers to the amount of energy used by a force that move an object.

What exactly does science work on?

A force's output is defined as the product of the force's component acting in the displacement's direction and its magnitude. Formula. The following formula can be used to determine work: multiply force by distance traveled inside the direction of force. W = F × d.

What type of work is done?

A force is said to have completed its work when it exerts itself on an object and the object really moves in the direction of the applied force. A product of the force as well as the object's displacement in the force's direction is the work that the force produces.

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Answer:

Explanation:

The work is numerically equal to the area of ​​the figure lying under the graph of the function.

(a)

A₁ = (1/2)·80·6 = 240 J

(b)

A₂ = (1/2)·40·3 = 60 J

(c)

A = A₁ + A₂ = 240 + 60 = 300 J

A projectile is launched horizontally on a table that it 40 cm high. The projectile lands 10 m away. What is the horizontal
velocity of the projectile as it leaves the launcher?

Answers

The horizontal velocity of the projectile as it leaves the launcher is 35 m/s.

What is the time of motion of the projectile?

The time of motion of the projectile is calculated by applying the following kinematic equation as shown below.

h = vt + ¹/₂gt²

where;

v is the initial vertical velocity = 0t is the time of motiong is acceleration due to gravity

h = 0 + ¹/₂gt²

h = ¹/₂gt²

t = √(2h/g)

t = √(2 x 0.4 / 9.8)

t = 0.286 s

The horizontal velocity of the projectile as it leaves the launcher is calculated as follows;

v = x/t

where;

x is the horizontal distancet is the time of motion

v = 10 m / 0.286 s

v = 35 m/s

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When a fast electron (i.e., one moving at a
relativistic speed) passes by a heavy atom, it
interacts with the atom's electric field. As a result,
the electron's kinetic energy is reduced; the
electron slows down. In the meantime, a photon of
light is emitted. The kinetic energy lost by the
electron equals the energy E., of a photon of
radiated light:
E,= K-K',
where K and K' are the kinetic energies of the
electron before and after radiation, respectively.
This kind of radiation is called bremsstrahlung
radiation, which in German means "braking
radiation" or "deceleration radiation." The highest
energy of a radiated photon corresponds to the
moment when the electron is completely stopped.

Part A
Given an electron beam whose electrons have kinetic energy of 9.00 keV, what is the
minimum wavelength Lambdamin of light radiated by such beam directed head-on into a lead
wall?
Express your answer numerically in nanometers.

Answers

The correct answer of minimum wavelength Lambdamin of light radiated is 1.3777 x 10 ^-2 m.

What is bremsstrahlung radiation?

Bremsstrahlung, also known as "braking radiation" or "deceleration radiation," is electromagnetic radiation that is produced when a charged particle decelerates when it is deflected by another charged particle. This is commonly an electron by an atomic nucleus.

The energy of the photon is given by:

E=hν=hcλE=hν=hcλ

Here

• h=6.63⋅10^−34 J⋅s=6.63⋅10^−34 J⋅s is the Plank's constant and c is the speed of light and λ is the wavelength

λ= hc/E = 4.136×10−15 eV·s (2.998x10^8 m/s)/10^4 eV

= 4.136×10^−15 eV·s (2.998x10^8 m/s)/9^4 eV = 1.3777 x 10 ^ (8-15-4) = 1.3777 x 10 ^-11 m

= 1.3777 x 10 ^-2 m

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The United States Navy Diving Manual contains a wealth of information about diving from the history of diving to underwater physics and physiology. Start by browsing the U.S. Navy Diving Manual (located within the weekly readings) and then post a response to the following questions: How do the pressure variations with depth affect our ability to explore the ocean? In particular, what are some of the challenges of scuba diving?

Answers

The answers include the following:

The increase in the pressure is directly proportional to the depth and affects our ability to explore the ocean as the water pressure slows it down.The challenges of scuba diving include decompression sickness and drowning.

What is Pressure?

This is referred to as the force per unit area of a substance and the unit is Pascal. This parameter varies with depth such that the higher the pressure, the deeper the ocean or water body and vice versa.

The pressure variations affects the ability to explore the ocean such that it exerts a force on the diver thereby slowing him/her down and also not being able to reach certain areas.

The challenges of scuba diving include drowning and decompression sickness which is characterized by dissolved gasses exiting solution to form bubbles inside the body.

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Which of the following has thermal energy? A. Both a piece of metal that feels hot and a piece of metal that feels cold B. A piece of metal that feels hot but not a piece of metal that feels cold C. A piece of metal that feels cold but not a piece of metal that feels hot D. Neither a piece of metal that feels hot nor a piece of metal that feels cold​

Answers

Answer:

B

Explanation:

If you try the experiment yourself, You will see that a hot piece of metal has and sustains that thermal energy until that piece of metal eventually cools off.

On the other hand, it takes a while for the cold piece of metal to heat up. So, therefore, it does not contain thermal energy for that long period until it is thoroughly heated up.

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A series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 to
a battery. What is the total equivalent resistance?

Answers

The total equivalent resistance of the circuit which consists of 4 resistors ( 1202, 180, 320 and 3802 ) connected in series is 50.1 KΩ

Resistance of resistor,

1202 = 12 KΩ180 = 18 Ω320 = 32 Ω3802 = 38 KΩ

Total equivalent resistance, R = R1 + R2 + R3 + R4

R = 12000 + 18 + 32 + 38000

R = 50.1 KΩ

Equivalent resistance is a another way of indicating total resistance. The equivalent resistance will be of a single resistor that replaces the total network without altering any effect on the system.

Therefore, the total equivalent resistance of a series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 is 50.1 KΩ

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until a train is a safe distance from the station it must travel at 5 m/s once the train is an open track if can speed up to 4m/s if it takes a train 8 secounds to reach 45 m/s what is the acceleration of the train

Answers

Based on the calculations, the acceleration of this train is equal to B) 5 m/s².

How to calculate the acceleration of this train?

Mathematically, the acceleration of this train can be calculated by using this formula:

a = (V - U)/t

Where:  

a represents the acceleration measured in meters per seconds square (m/s²).V represents the final velocity measured in meters per seconds (m/s).U represents the initial velocity measured in meters per seconds (m/s).t represents the time measured in seconds.

Substituting the given parameters into the formula, we have;

Acceleration, a = (45 - 5)/8

Acceleration, a = 40/8

Acceleration, a = 5 m/s²

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Complete Question:

Until a train is a safe distance from the station it must travel at 5 m/s. Once the train is on open track it can speed up to 45 m/s. If it takes a train 8 seconds to reach 45 m/s, what is the acceleration of the train? (Round your answer to the nearest whole number.)

A) 4 m/s²

B) 5 m/s²

C) 6 m/s²

D) 7 m/s²

7. Daniel is fishing the canals and hooks a 2 kg peacock bass. Daniel exerts a 50 N
force on the fish to the left and the fish exerts an unknown amount of force in the
opposite direction. If the fish accelerates 2 m/s² towards Daniel, what is the
amount of force the fish is exerting?
Ans:

Answers

Shuisuhishuisiuhshiuihsusiuhshiusuhisuihshuishuisuhishh i

Water drips from rest from a leaf that is 12.0 meters above the ground. Neglecting air
resistance, how long does it take the water drop to hit the ground? What is the speed of
each water drop when it hits the ground?

Answers

Speed of the drop will be 15.4919m/s

Given :- g =10m/s²

u=0

s=12

v²-u²=2as is the formula to be used.

v²=u²+2as

v²=2 x 10 x 12

=240

v=√240 m/s

=15.4919m/s

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A particle moving uniformly along a curved path has a period of 0.24 s and a speed of 4.2 m/s. The radius of the path is?

a. 16 cm
b. 2.6 cm
c. 1.0 m
d. 0.062 cm

Answers

We obtain the radius of the curved path through which the ball travels as 16 cm. Option A

What is the radius of the path?

We know that we can be able to obtain the radius of the path from the period of the path and the velocity of the object by the use of the equation;

V = 2πr/T

Given that;

V = velocity

T = period

r = radius

VT = 2πr

r = VT/2π

r = 4.2 m/s  * 0.24 s/ 2 * 3.142

r = 1.008/6.284

r = 0.16 m or 16 cm

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Determine the net capacitance C of each network of capacitors shown below. Assume that C1=1.0pF, C2=2.0pF, C3=4.0pF, and C4=5.0pF

Answers

The net capacitance C of each network of capacitors is 7.33 pF.

What is the net capacitance of series capacitors?

The net capacitance of a circuit containing capacitors arranged in series to one another is the reciprocal sum of the individual capacitance.

Mathematically, this capacitance is given as;

1/Ct = 1/C₁ + 1/C₂ + 1/C₃ + 1/C₄ + 1/C₅

where;

Ct is the net capacitance C is the individual capacitance

The capacitance of capacitors arranged in parallel to one another, the net capacitance is the sum of the individual capacitors.

Ct = C₁ + C₂ + C₃ + C₄ + C₅

In the given circuit, the net capacitance is calculated as follows;

C₂  and C₃ are in series to one another, the net capacitance of these two is calculated as;

1/Ct = 1/C₂ + 1/C₃

1/Ct = 1/2 + 1/4

1/Ct = 3/4

Ct = 4/3 pF

Ct = 1.33 pF

Combining the whole capacitors in the circuit, C₂, C₃ are in parallel with C₁ and C₄

Ct = 1.33 pF + C₁ + C₄

Ct = 1.33 pF   +  1 pF   +   5 pF

Ct = 7.33 pF

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In the district soccer championship finals, Elizabeth kicks a 0.94 kg soccer ball with a force of 35.0 N. How much does she accelerate the soccer ball from rest in the process?

Answers

Taking into account the Newton's Second Law, she accelerate the soccer ball from rest to 37.234 m/s² in the process.

Newton's second law

Newton's Second Law states that this force will change the speed of an object because the speed and/or direction will change.

Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

F = Force [N]m = Mass [kg]a = Acceleration [m/s²]

Gravitational force be on the Moon

In this case, you know:

F= 35 Nm= 0.94 kga= ?

Replacing in Newton's second law:

35 N= 0.94 kg× a

Solving:

a= 35 N÷ 0.94 kg

a=37.234 m/s²

Finally, she accelerate the soccer ball to 37.234 m/s².

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Think about a demonstration with a deflated and inflated basketball. The basketball weighed more after it was inflated with air than when it was deflated. How does this show that gas is matter?

Answers

If the basketball weighed more after it was inflated with air than when it was deflated, this show that gas is matter because it takes up space and has mass.

Generally matter can be described as a physical substance. Descriptively it can be said that anything that takes up space and has mass is called as matter.

Clearly, an inflated basketball is bigger in size than a deflated basketball. So, it can be said that with the help of air the inflated basketball has gained size. The basketball weighed more after it was inflated with air than when it was deflated, meaning the air has mass.

Therefore, this show that gas is matter because it takes up space and has mass.

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5. A force of 3.5 N applied to an object for 0.15 seconds increases the object's velocity by 2.0 m/s. What is the
mass of the object?

Answers

The estimated value of mass is 0.2625066 units

Given , Force =3.5N , time=0.15sec =15/100 sec

Velocity=2 m/s, mass =?

In Physics Acceleration means rate of change of velocity, i.e. Mathematically, a= v/t

a= 2/0.15

a=200/15= 13.333m/s²

In Physics Force means product of mass and acceleration i.e. F=ma

From this equation we can deduce the value of mass of the object.

3.5N= m [13.333]

m=3.5/13.333

m= 0.2625066

Hence forth in this way the value of mass is computed.

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A circuit that has only one branch for electrons to follow is a(n) ____.
Question 1 options:

circuit diagram

electron circuit

parallel circuit

series circuit

Answers

Answer: series circuit

Explanation:

First 2 answers are garbage.  In Parallel circuits electrons have 2 or more paths to follow.  In Series circuits, there is only one path.

What do astronomers refer to as the retrograde motion of the planets? A. apparent movement of the planets eastward in a single night B. apparent movement of the planets westward in a single night C. apparent movement of the planets eastward from night to night D. apparent movement of the planets westward from night to night

Answers

Astronomers refer to as retrograde motion of the planets to an apparent movement of the planets westward from night to night.

What is a retrograde motion?

The retrograde movement or the retrogradation of the planets is the apparent movement that a planet makes in the opposite direction to the other bodies that make up the system where it is.

This movement is actually an optical illusion that occurs due to the difference in speed between the different planets, looking as if one of them were moving backwards from east to west.

Therefore, we can confirm that the correct answer is option D. apparent movement of the planets westward from night to night.

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ANSWER ASAP I NEED THIS NOW PLEASE
The specific heat of lead is 128 J/kgoC. Suppose that 300 grams of lead shot at 100oC is mixed with 200 grams of water at 0oC in an insulated container. What is the final temperature of the mixture?

2.1oC

5.9C

3.2C

12.0C

4.4C

Answers

The final temperature of the mixture or the equilibrium temperature of the mixture is 4.4⁰C.

option E is the correct answer.

What is final temperature of the mixture?

The final temperature of the mixture or the equilibrium temperature of the mixture is determined by applying the principle of conservation of energy.

Heat lost by the lead = Heat gained by the water

m₁c₁(T₁ - T) = m₂c₂(T - T₂)

where;

m₁ is mass lead = 300 g = 0.3 kgm₂ is mass of water = 200 g = 0.2 kgc₁ is specific heat capacity of lead = 128 J/kgCc₂ is specific heat capacity of water = 4200 J/kgCT is the equilibrium or final temperature of the mixtureT₁ is initial temperature of the lead = 100 ⁰CT₂ is initial temperature of water = 0⁰ C

0.3 x 128 x (100 - T) = 0.2 x 4200 x (T - 0)

3840 - 38.4T = 840T

3840 = 878.4T

T = 3840/878.4

T = 4.4⁰C

Learn more about equilibrium temperature here: https://brainly.com/question/8925446

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