If an object is thrown horizontally, travels with an average x-component of its velocity equal to 5m/s, and does not hit the ground, what will be the x-component of the displacement after 20s?

Answers

Answer 1

Answer:

100 m

Explanation:

5  m/s   *   20 s = 100 m


Related Questions

a car carrying a 80-kgkg test dummy crashes into a wall at 28 m/sm/s and is brought to rest in 0.10 ss. part a what is the magnitude of the average force exerted by the seat belt on the dummy? express your answer to two significant figures and include the appropriate units

Answers

The magnitude of the average force exerted by the seat belt on the dummy is 224N .

What is an average force ?

The average force is the force produced by an object moving over a specific period of time at a given rate of speed, or velocity. This velocity is not instantaneous or precisely measured, as the word "average" indicates.

Briefing:

mass of the dummy (m) = 80kg

velocity of the dummy (v) = 28 m/s

time (t) = 10 seconds

Average force exerted (F)

To calculate the average force;

According to the formula;

F = (m × v) ÷ t

Where;

F represents the force exerted

m represents the mass of the dummy

v represents the velocity

t represents the time

F = m * v/t

F = 80 *28/10

F = 224

F = 224 N

The force exerted by the seat belt on the dummy is 224N .

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a cat slides down a slippery slanted roof at an acceleration of 2.2 m/s2 (it won't get hurt because it has nine lives). if it started at the top with zero initial speed, how far will the cat have slipped after 3 seconds? answer in meters and include two digits after the decimal point.

Answers

The cat will have slipped till the distance of 9.90 seconds in 3 seconds.

The acceleration of the cat is 2.2m/s², the initial velocity of the cat is 0m/s and the time take the cat takes to come down is 3 seconds.

Now, using equation of motion,

S = Ut + 1/2at²

Where,

U is initial velocity of the body,

t is the time period of the body,

S is the displacement of the body,

a is the acceleration of the body.

Putting all the values,

S = 1/2at²

S = 1/2(2.2)(3)²

S = 9.90 meters.

The distance to which the cat will fall is 9.90 meters.

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thermal energy 1. causes the mass of a body to increase. 2. decreases as the temperature of a body increases. 3. is characterized by the random motion of molecules. 4. is the only form of energy that can be transformed into work with 100% efficiency.

Answers

Thermal energy 3. is characterized by the random motion of molecules.

In the field of physics, thermal energy can be described as the internal energy present inside an object or system.

The thermal energy present in the molecules of an object causes the molecules to move randomly. It is the energy that causes random motion in atoms.

If the thermal energy keeps on increasing, the movement of molecules also keeps on increasing.

For example, the molecules in water have lower thermal energy initially due to which they show lesser random motion. As we increase heat, the thermal energy increases causing the random motion to increase and water turns into steam as we keep on increasing the thermal energy.

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True or false? The period of an AC supply is equal to the time between an adjacent peak and trough on an oscilloscope trace.

Answers

Answer:

false

Explanation:

the time period is for a whole cycle of the wave, so peak-to-peak on an oscilloscope trace.

a wire having mass per unit length of 0.460 g/cm carries a 2.12 a current horizontally to the south. what are the direction and magnitude of the minimum magnetic field needed to lift this wire vertically upward? magnitude

Answers

The direction and magnitude of the minimum magnetic field needed to lift this wire vertically upward is clock wise direction and 0.245T.

What is a magnetic field?

The magnetic field is the area that is affected by magnetism and is located around a magnet. The magnetic field is a valuable tool for explaining the distribution of the magnetic force within and around a magnetic object in nature.

The mass per unit length of the wire = 0.460 g/cm = 0.046 kg/m

Current in the wire, A = 2.12 A (due south)

To find,

The minimal magnetic field's magnitude as well as its direction.

F = ILB = mg

B = mg/IL

B = 0.046 × 9.8 /2

B = 0.225T

B = 0.245T.

The right hand rule specifies the magnetic field's direction, which is clockwise around the wire.

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why are the rocky inner planets different than the gaseous outer planets? heat from the growing sun allowed rock to mainly form close in gases come from further away from the center of the solar system the rocky inner planets got rocks from the sun later solar wind pushing material away had more effect on metals gas has more momentum and flies further away naturally

Answers

The correct answer is option A.

The rocky inner planets are different than the gaseous outer planets because heat from the growing sun allowed rock to mainly form close in.

In our solar system, the inner planets are rocky while the outer planets are in a gaseous state.

Rocky planets are also called terrestrial planets as their outer surface is solid and composed of rocks and metal.

They have large thick gaseous atmospheres which are abundant in gases such as nitrogen, carbon dioxide, and oxygen.

While the outer planets are giant balls of gases that orbit around the sun.

Unlike terrestrial planets, these gaseous planets do not have thick atmospheres and are 2x larger in size than the rocky inner planets.

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To program a digital turtle to trace the outline of a hexagon, what code should be used?

A.
forward 50

B.
repeat 6 [forward 50 right 60]

C.
repeat 3 [forward 50 right 90]

D.
repeat 4 [forward 50 right 60]

Answers

To program a digital turtle to trace the outline of a hexagon, the code that should be used is repeat 6 [forward 50 and right 60]. Hence, option B is correct.

What is a program?

A computer utilizes a program, which is a collection of instructions, to carry out a particular task. A program is like a computer's recipe, to use an analogy. It has a list of components (known as variables, which can stand for text, graphics, or numeric data) and a list of instructions (known as statements), which instruct the computer on how to carry out a certain operation.

Programming languages with particular syntax, like C++, Python, and Ruby, are used to develop programs. These high-level programming languages are written and readable by humans.

According to the question, the hexagon has six sides so the turtle has to repeat 6 times. Hence, option B is correct.

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a baseball player exerts a force of 100n on a ball for a distance of 0.5m as he throws it. if the ball has a mass of 0.15kg, what is its velocity as it leaves his hand?

Answers

the answer is 25.8 m/s

A car with a weight of 6996 N is subjected to a net force of 1.74e4. The cars acceleration will be

Answers

Answer: 24.37 m/s/s [forward] = a

Explanation:

First, find mass with the Fgrav formula.

Fgrav=mg

6996=m(9.8)

713.88 kg

Then, plug the answer into Newton's second law formula.

Fnet = ma

1.74e4 = (713.88)a

(1.74e4)/(713.88) = a

24.37 m/s^2 = a

7. Using Analogies Explain how the behavior
of popcorn in a popcorn popper can be used
as an analogy for the motion of gas particles.

Answers

The relative motion of gaseous particles increases with increase in the temperature of the gas molecules just like the motion of popcorn in a popper increases when heat is applied to the popper.

What is kinetic theory of gas?

The kinetic theory of gases or matter states that matter consists of tiny particles which are constant motion, colliding with one another and with walls of the containing vessels.

Just like a popcorn in a popcorn popper pops when heat is applied to the popper, gases contained in a cylinder increases their speed when they acquire more kinetic energy as the temperature of the cylinder increases.

Thus, the motion of gas particles depends on the temperature of the containing vessel so also does the random motion of popcorn depends on the temperature of the popper.

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A 4 coulombs charged particle experiences an electric force of 200 N when placed at point P in an electric field. The magnitude of the electric field at point P is :
a) 5 N/C
b) 800 N/C
c) 0.02 N/C
d) 50 N/C

Answers

(d) 50N/C

The magnitude of the electric field at point 'P' is 50N/C.

It is derived from the basic concepts of Electrostatics. Coulomb's Law is the basis of relations in Electrostatics. It resembles Newton's Law of Gravitation.

Using the relation between Electric force, charge, and Electric field:

                                          F = qE

F = 200N; q = 4C

                                     200 = (4)E

                                          E = 50N/C  

It is widely used in the calculation of Electric Force and Electric Field. The S.I. Unit of the Electric Force is Newton. The S.I. Unit of the Electric Field is N/C. The S.I. Unit of charge is Coulomb.

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A box measures 3 centimeters on each side and has a mass of 47 grams , what is the density

Answers

Answer:

[tex]3 \times 47 = [/tex]

141

Question 6:A particle of mass 0.2 kg is moving in a straight line at speed 2.5ms, a constant force of magnitude FN is applied to it in the direction in which it is moving. The speed of the particle 5 seconds later is 4.5ms Find the value of F, magnitude of the force applied.

Answers

First, let's calculate the particle acceleration, using the formula below:

[tex]\begin{gathered} V=V_0+a\cdot t \\ 4.5=2.5+a\cdot5 \\ 5a=4.5-2.5 \\ 5a=2 \\ a=\frac{2}{5}=0.4\text{ m/s}^2 \end{gathered}[/tex]

Now, to find the force applied, let's use the second law of Newton:

[tex]\begin{gathered} F=m\cdot a \\ F=0.2\cdot0.4 \\ F=0.08\text{ N} \end{gathered}[/tex]

Therefore the value of F is 0.08 N.

now assume that the crate is sliding along the floor with constant velocity. what is the magnitude fp of the force you need to exert on the crate to make it continue to slide along the floor with constant velocity?

Answers

The magnitude[tex]F_{P}[/tex]  of the force you need to exert on the crate to make it continue to slide along the floor with constant velocity is  437.5N.

How friction force can be calculated?

The Normal Force (in a horizontal plane, it is comparable to the mass by gravity) and the Kinetic Coefficient of Friction must be multiplied in order to obtain the Friction Force, which must be used in order to solve this problem.

Given that the sentence does not specify the value of the coefficient of friction, I will ascribe a value of 0.5 between the crate and the ground. If a different value has been specified for this coefficient, the below equation will simply need to be changed to reflect it.

[tex]F_{P}[/tex] = µK N

µK = Friction coefficient

Normal Force is N.

Replacing,

[tex]F_{P}[/tex] = 0.5 × 875

[tex]F_{P}[/tex] = 437.5N.

Consequently, the crate is subject to a friction force of 437.5N.

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Complete question is "Suppose you have to move a heavy crate of weight 875 {\rm N} by sliding it along a horizontal concrete floor. You push the crate to the right with a horizontal force of magnitude 300 {\rm N}, but friction prevents the crate from sliding. Now assume that the crate is sliding along the floor with constant velocity. What is the magnitude F_p of the force you need to exert on the crate to make it continue to slide along the floor with constant velocity?"

1. a circular coil 0.0500 m in radius, with 30 turns of wire, lies in a horizontal plane. it carries a counterclockwise (as viewed from above) current of 5.00 a. the coil is in a uniform 1.20 t magnetic field directed toward the right. find the magnitudes of the magnetic moment and the torque on the coil.

Answers

Magnetic moment of the given coil is 1.178 Am²

Torque of the given coil is 1.414 TAm²

Radius of the coil = 0.05 m

Number of turns in the coil = 30 turns

Current passing through the coil = 5 A

Magnetic field in the coil = 1.2 T

The current flows in counterclockwise direction. Therefore by thumbs rule, the magnetic field flows towards right side.

The magnetic moment of the coil

       M = N x I x A

where N is the number of turns in the coil

           I is the current passing through the coil

          A is the area of the coil

Let us substitute the known values in the above equation,

       M = 30 x 5 x πr²

           = 30 x 5 x 3.14 x (0.05)²

           =  471 x 0.0025

           = 1.178

The magnetic moment of the given coil is 1.178 Am²

The torque of the coil can be found using

          τ = M x B

where M is the magnetic moment and

           B is the magnetic field produced due to the coil.

 

        τ = 1.178 x 1.20

           = 1.414 TAm²

Therefore , the torque of the coil is 1.414 TAm²

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Show how you got the answer, please

Answers

Question:

A wave with a frequency of 14 Hz has a wavelength of 3 meters. At what speed with this wave travel?

Answer:

42m/s

Explanation:

v= λf

Frequency of wave: f= 14Hz

the wavelength of the wave: λ=3m

speed of wave: s=?

speed = frequency * wavelength

s = 14 * 3 = 42 m/s.

An atmospheric layer of a specific gas provides shielding from harmful ultraviolet light from the sun, allowing life to thrive on earth. What gas makes up this layer?.

Answers

Since stratospheric ozone shields life on Earth from harmful ultraviolet (UV) radiation, it is frequently referred to as "good" ozone.

How does the atmosphere safeguard life on Earth?

It not only has the oxygen we require to survive, but it also shields us from dangerous UV sun radiation. It generates the pressure necessary for liquid water to exist on the surface of our planet. Additionally, it heats our planet and maintains conditions that allow life to exist on Earth.

The ozone layer, located higher up in the stratosphere, absorbs solar ultraviolet radiation and modulates the amount of heat that is returned to space from the Sun. Overexposure to UV radiation may cause sunburn, skin cancer, and eye damage. The ozone layer protects humans from these negative consequences.

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two circuits present the same resistance to the cu rrent. in one circuit the battery causing the flow of current has a voltage of 9.0 v, and the current is 3.0 a. in the other circuit the battery has a voltage of 1.5 v. what is the current in this other circu it?

Answers

The current in this other circuit while the time remains constant, the current is doubled and the resistance is cut in half.

According to Ohm's law, the resistance (R) in a circuit has an inverse relationship to the electrical current (I), which is proportional to the voltage (V) (R). Therefore, if the voltage is raised, the current will rise as long as the circuit's resistance remains constant. Ohm's Law describes the relationship between current, voltage, and resistance. This states that, provided the temperature stays constant, the current flowing in a circuit is directly proportional to the applied voltage and inversely proportional to the circuit resistance. As long as the resistance is kept constant, an increase in voltage will therefore result in an increase in current.

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a car is travelling at a velocity of 2.0m/s. it accelerates at a constant 0.20m/s^2 for 2.5 min what is the final velocity of the car

Answers

The velocity of a body or object determines its direction of motion. Speed is a scalar quantity in its most fundamental form. Velocity is essentially a vector quantity. It is the rate of change in distance. The displacement change rate is the issue.

The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.

V = u + a*t

V = 2 + 0.20 * (2.5*60)

V = 32 m/s

The rate at which the speed and direction of a moving object change over time is known as acceleration. Something is said to be accelerating when it starts to move faster or slower. Motion on a circle accelerates even while the speed is constant because the direction is always changing. Due to the frequent change in direction, motion on a circle accelerates even while the speed is constant.

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if you drop a baseball and let it fall, gravity from Earth pulls down on the baseball with 1.4 N of force. What is the reaction force in this situation?

A)Gravity from the ball pulls up on the Earth with 1.4 N of force.
B)Your fingers exerted an upward force of 1.4 N before they released the ball.
C)Once it hits the ground, normal force from Earth's surface will push up on the ball with 1.4 N
D)Air resistance pushes up on the ball with 1.4 N.

Answers

The reaction force in this situation occur once it hits the ground, and normal force from Earth's surface will push up on the ball with 1.4 N.

The correct answer is option (C)

What is Newton's third law of motion?

Newton's third law of motion states that for every action there is equal and opposite reaction.

Mathematically, this law is given as;

Fa = Fb

where;

Fa is the force applied by object AFb is the reaction experienced by object B

The force applied by object is equal and opposite the reaction experienced by object B.

When an object placed on the floor, the weight of the object acts downward while the normal reaction of the object acts upwards.

Thus, if you drop a baseball and let it fall, gravity from Earth pulls down on the baseball with 1.4 N of force, the reaction force will occur once it hits the ground, as the normal force from Earth's surface will push up on the ball with 1.4 N.

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what is the velocity (in m/s) of a 925 kg car initially moving at 29.5 m/s, just after it hits a 145 kg deer initially running at 12.5 m/s in the same direction? assume the deer remains on the car. (enter the magnitude.)

Answers

The velocity after the collision is 27.19 m/s

What is the law of conservation of momentum?

For a collision between Object 1 and Object 2 in an isolated system, the total momentum of the two objects before collision equals the total momentum of the two objects after collision. That is, the momentum lost from object 1 is equal to the momentum gained from object 2 (a constant or unchanging value). It can be stated by following equation:

Pₙ = mₙvₙ

mₙvₙ = m₁v₁ + m₂v₂

Where, Pₙ = final momentum

mₙ = total mass of the system

vₙ = final velocity of the system

For the given case,

Since,  mₙvₙ = m₁v₁ + m₂v₂

(m₁ + m₂)vₙ = m₁v₁ + m₂v₂

(925 + 145)vₙ = (925 × 29.5) + (145 × 12.5)

1070 vₙ = 27287.5 + 1812.5

1070 vₙ = 29100

vₙ = [tex]\frac{29100}{1070}[/tex]

vₙ = 27.19 m/s

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The main engine of an ariane v rocket produces a thrust of 1015 kN and it’s booster rockets produce a total thrust of 13300 kN. If it has a launch mass of 780 tonnes, calculate its initial acceleration.

Answers

The initial acceleration of the rocket at the given thrust is 1.3 m/s².

What is the initial acceleration of the rocket?

The initial acceleration of the rocket is determined by Newton's second law of motion. This law states that the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

where;

F is the applied forcem is the mass of the rocketa is the acceleration

The initial lunch force = 1015 kN = 1,015,000 N

The mass of the rocket = 780 tonnes = 780,000 kg

a = F/m

a = (1,015,000) / (780,000)

a = 1.3 m/s²

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6. Force is being applied to a rotating disk at an angle of 90 degrees to itsradial line. How does the torque change if...

Answers

Torque Formula:

T = d * F * sin angle

a) if the force is doubled, torque is doubled ( directly proportional)

For example, if force is 2 N, and distance is 2 m ,

T= 2*2* sin 90 = 4 Nm

If force is doubled:

T= 2*4 * sin90 = 8 Nm

b) If the distance of the center of rotation is doubled , Torque is also doubled ( same as "a")

c) If angle decreases 45° (90 - 45 = 45 )

T= 2*2*sin45 = 2.82 Nm

Torque also decreases

Find the total translational kinetic energy of0.5 L of oxygen gas held at a temperature of3◦C and a pressure of 1.5 atm.Answer in units of J.

Answers

Given

Volume of the oxygen gas is

[tex]V=0.5L=0.0005m^3[/tex]

The temperature is

[tex]T=3^oC[/tex]

Pressure is

[tex]\begin{gathered} P=1.5atm \\ \Rightarrow P=1.5\times101325=151,987.5Pa \end{gathered}[/tex]

To find

The translational kinetic energy

Explanation

The translational kinetic energy is given by

[tex]K=\frac{3}{2}nRT[/tex]

For ideal gas,

[tex]PV=nRT[/tex]

Thus,

[tex]\begin{gathered} K=\frac{3}{2}PV \\ \Rightarrow K=\frac{3}{2}\times151987.5\times0.0005 \\ \Rightarrow K=113.99J \end{gathered}[/tex]

Conclusion

The translational kinetic energy is 113.99J

Victor is using his Geiger-counter to record the amount of radiation that is leaking into the soil from a nearby nuclear disposal site. This radiation decreases by the square of the distance from the source. If he starts measurements 100 m from the disposal site how close will he need to stand if he hopes to measure soil with 4 times the radiation?

According to inverse square proportionality, measuring 4 times more radiation will require Victor to _____ his distance. Victor will need to stand _____ m from the disposal site. ​

Answers

If Victor starts measurements 100 m from the disposal site, he needs to stand 50 m from the source if he hopes to measure soil with 4 times the radiation.

I = 1 / r²

I = Intensity

r = Distance

At a distance of 100 m from the source,

I = 1 / 100²

I = 1 / 10000

I = [tex]10^{-4}[/tex] J / m² s

Four times this radiation will have an intensity of,

I = 4 * [tex]10^{-4}[/tex] J / m² s

4 * [tex]10^{-4}[/tex] = 1 / d²

d² = 1 / 4 * [tex]10^{-4}[/tex]

d² = 0.25 * [tex]10^{4}[/tex]

d = √ 25 * 10²

d = 5 * 10

d = 50 m

Therefore, he needs to stand 50 m from the source

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The concept of inertia forms the basis for Newton's Third Law of Motion True False

Answers

Given

The concept of inertia forms the basis for Newton's Third Law of Motion

To find

The given statement is true or false

Explanation

The third law of motion states that every action has a equal and opposite reaction

Inertia is the property by virtue of which an object at rest tends to be at rest and object at motion tends to be at motion

Thus both the concept are not similar

Conclusion

The given statement is false

jim leaves his house and begins walking to his car in a straight line. he goes 2.0 m then returns to his house to get his keys. next, he leaves his house and travels 6.0 m to his car. what is jim's displacement?

Answers

Jim's displacement if Jim leaves his house and begins walking to his car in a straight line and he goes 2.0 m then returns to his house to get his keys, next, he leaves his house and travels 6.0 m to his car is 6 m

Δx = x2 - x1

Δx = Displacement

x2 = Final position

x1 = Initial position

Considering the house as origin,

Final position = 6 m

Initial position = 0

Δx = 6 - 0

Δx = 6 m

Displacement is the vector quantity that describes position change in a motion. Its scalar quantity distance describes the overall distance travelled during the entire motion.    

Therefore, Jim's displacement is 6 m

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he radius of a circular oil slick expands at a rate of 4 m/min. (a) how fast is the area of the oil slick increasing when the radius is 58 m? (use symbolic notation and fractions where needed.)

Answers

It is 24 pi fast area of oil sick increasing when the radius is 60m.

This question we are given the rate of change is the radius T. R. D. T. Is equal to two m per minute. And we know that the area since we're talking about the radius theory of the seco which is pi R squared. And our D A t. R. Would be the first derivative of A. That will be two pi R. And our D A D. T. Would be equal to T. A. T. R. Multiplied by the era T. T. And already we can plug in our numbers. Here we have two pi R. A. Multiplied by two and we get four pi hi and this season meters squared per minute.

Now we want to find the value of our rate of change of area with time At R. A. is equal to 56. And therefore our D. A. T. T. At our escort 56 is equal to four pi my play by 56. And here we get 224 pi square meters per minute. This is our answer to part A no for part B. We are giving that At time is equal to zero is equal to zero. And our rate of change of radius the time is still equal to two meters per minute and Therefore from 0 to 3 we have a tiara Is equal to two d. T. And we integrate Both sides from 0 to 3. So on the left hand side we have our era on the right hand side we have to t From 0 to 3 and here we get six So our radius is six m.

Therefore our D a t t will be a quarter full pie. Sarah it R is equal to six and Plugging. In our 6th year. We have four pay And our era is six. We get 24 pi in this season square meters per minute. That's it. We had them.

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Four different balls with different masses (measured in grams) were dropped from the same height on Earth. Assuming no other forces acted on the balls, match each ball with the gravitational force (measured in newtons) it experienced as it fell.gravitational force = 9.8 m/s2

Answers

We will have the following:

1. 143 g = 0.143 kg:

[tex]F=(0.143kg)(9.8m/s{}^2)\Rightarrow F=1.4014N[/tex]

2. 110 g = 0.110 kg:

[tex]F=(0.110kg)(9.8m/s^2)\Rightarrow F=1.078N[/tex]

3. 410 g = 0.410 kg:

[tex]F=(0.410kg)(9.8m/s^2)\Rightarrow F=4.018N[/tex]

4. 46 g = 0.046 kg:

[tex]F=(0.046kg)(9.8m/s^2)\Rightarrow F=0.4508N[/tex]

From this we can see that the given weights do not correspond to any of the values of column B, since the calculations to obtain the values of column B were done using grams, instead of kg, thus those values do not correspond to the unit of force Newtons.

testing of a light switch is being discussed. technician a says a switch can be tested with a voltmeter. technician b says to use a fused jumper wire to see if the switch is operating. who is correct?

Answers

Both technician are correct .

What is voltmeter ?

A voltmeter, also known as a voltmeter, is an instrument used to measure the potential difference or voltage between two points in an electrical or electronic circuit. Some voltmeters are intended for use on direct current (DC) circuits. Others are designed for AC circuits. A dedicated voltmeter can measure radio frequency (RF) voltage.

A simple analog voltmeter consists of a sensitive galvanometer (ammeter) in series with a high resistance. The internal resistance should be high inside . Otherwise, significant currents will flow and interfere with the operation of the circuit under test. The sensitivity of the galvanometer and the value of the series resistance determine the range of voltages the meter can display.

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Define culture.How does cultue variations affect work behaviour and job performance provide examples to show why a knowledge of such difference is imporatnat to managers In 1980 approximately 4,825 million metric tons of carbon dioxide emissions were recorded for the United States. That number rose to approximately 6,000 million metric tons in the year 2005. Here you have measurements of carbon dioxide emissions for two moments in time. If you treat this information as two ordered pairs (x, y), you can use those two points to create a linear equation that helps you make predictions about the future of carbon dioxide emissions!A) Organize the measurements into ordered pairs. B) Find the slope,C) Set up an equation in point-slope form,D) Show the equation in slope-intercept form,E) Predict emissions for the year 2020, Given the frequency table, what percentage of the students that like rap are also in grades 910? Round to the nearest whole percent. A. 16%B. 38%C. 40% Periodic Deposit: $? at the end of each monthRate: 7.5% compounded monthlyTime: 3 yearsFinancial Goal: $35,000O A. $2,628; $31,536 from deposits and $3,464 from interestB. $776; $27,936 from deposits and $7,064 from interestO c. $933; $33,588 from deposits and $1,412 from interestOD. $870; $31,320 from deposits and $3,680 from interest Which is the polynomial for the given graph?a) P(x) = (x + 2)(x + 8)(x-1)(x-4)b) P(x)=(x-2)(x + 1)(x+4)c) P(x) = (x-2)(x-8)(x + 1)(x+4)d) P(x) = (x + 2)(x-1)(x-4) Is this a function (3,2) (-2,6) (3,3) What is 3 / 5 x 8/9? A. 8 /15B. 11 /14C. 27 / 40D. 91 /40 Olivia goes out to lunch. The bill, before tax and tip, was $13.90. A sales tax of 6% was added on. Olivia tipped 23% on the amount after the sales tax was added. How much was the sales tax? Round to the nearest cent. how did environment of the great plains influence the cultures of the plain indians Please help:What are the zeros of the quadratic function?f (z )= 3z^2 11z 4Enter your answers, as simplified fractions if necessary, in the boxes.The zeros of f (z) are __ and __. 1. Choose a correct sentence: suppose our 5-stage mips pipeline contains a data hazard unit and the instruction in a load delay slot uses the register written by a lw instruction. what is the maximum number of stall cycles required for the instruction in a load delay slot with a data forwarding unit and without a data forwarding unit? explain your answer. A person takes a trip, driving with a constant speed of 93.5 km/h, except for a 22.0-min rest stop. If the person's average speed is 71.6 km/h, find the following.(a) How much time is spent on the trip? h(b) How far does the person travel? km i need help with this too Find the distance between C & D. C = (8, -3) and D = (-9, -6) CD= [?] Round to the nearest tenth. Hint: Use the distance formula. Nikki and four friends had lunch at their favorite restaurant. The total bill was $29.00, and they wanted to leave a 15% tip. Which amount of money is closest to the 15% tip? A $3.00 B $3.50C $4.00D $4.50 Simplify the following: (4x + 3) -2(4x - 7) - 3(x +7) Name the attatched alkene solve the inequality for h. h-8> 4h+5. write the answer in simplest form Sound is an example of a longitudinal wave because the wave travels by compressions and rarefactions of air particles?True or false