A car accelerates from to at a rate of how far does the car travel while accelerating?

Answers

Answer 1

The car will travel 69.3m while accelerating, using the equation of motion.

Using the equation of motion:

[tex]v^{2}- u^{2} = 2as[/tex]

[tex]s = \frac{v^{2}-u^{2} }{2a}[/tex]

where, s = displacement

u = initial velocity

v = final velocity

a = acceleration

Plugging in the values we get,

[tex]s = \frac{21^{2} - 5^{2} }{2*3.0}[/tex]

s = 69.3meters

Therefore, the car will travel 69.3m while accelerating, using the equation of motion.

The complete question is: A car accelerates from 5.0 m/s to 21 m/s at a constant rate of 3.0 m/s2, How far does it travel while accelerating?

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Related Questions

Which form of electromagnetic radiation has a wavelength of 10-7 nanometers?
a. Gamma rays
b. Infrared
c. Ultraviolet
d. Radio waves

Answers

The form of electromagnetic radiation that has a wavelength of 10-7 nanometers is known as Ultraviolet. Thus, the correct option for this question is C.

What is Electromagnetic radiation?

Electromagnetic radiation may be defined as a type of radiation that considerably possesses both electric and magnetic fields. Apart from this, these radiations always travel in waves. Electromagnetic radiations include visible light, radio waves, gamma rays, X-rays, etc.

Among all kinds of electromagnetic radiations, gamma rays have the shortest wavelength and high frequency. While microwaves have the longest wavelength and lowest frequency. As the wavelength and frequency are inversely related to one another.

Therefore, ultraviolet radiation is a type of electromagnetic radiation that has a wavelength of 10-7 nanometers. Thus, the correct option for this question is C.

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A fire breaks out, raising the ambient temperature by 224.0 k while 82.0 g of gas leak out of the tank. calculate the new temperature and the number of moles of gas remaining in the tank.

Answers

The new temperature is given as 510.05 K and the number of moles that remained after the incident can be written as 6.49 mol.

Calculation

Ambient Temperature ∆T = 224K

Mass of the gas that leak out of the tank ∆m = 82g

We know that the final temperature is

T f = Ti + ∆T

= 294.05K + 224 K

≈ 518.05 K

Then the final number of moles of gas is given by

nf = mf / M co2

= mi-∆m / 44

= (367.8 - 82) / 44

≈ 6.49 mol

What is a good Ambient temperature?

The air temperature of any object or setting where equipment is kept is known as the Ambient temperature.

This number is significant for system design. It is also sometimes referred to as the ordinary temperature or the baseline temperature.

What distinguishes Ambient temperature from room temperature?

Technically speaking, “ Ambient temperature” refers to the temperature outside, whereas “room temperature” refers to the temperature inside a particular structure or room.

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-) A boat travels 6 m/s across
a river. The current pushes
downstream at 4 m/s. If the
river is 100 m wide, then:
a) Find the resultant vector.

HELPPP PLEASEE !!!

Answers

From the calculations,  the resultant vector is 7.2 m/s.

What is the resultant vector?

The term resultant vector has to do with that vector that has the same effect in magnitude and direction as two or more vectors acting together. Thus we have to note that a vector must have both a magnitude as well and necessarily a direction. The direction of the vector shows where the vector is headed.

In this case, we have the information that a boat travels 6 m/s across

a river. The current pushes downstream at 4 m/s. We know that the boat travels in the vertical and then the movement of the current is in the horizontal direction. We can then be able to obtain the resultant by the use of the Pythagoras theorem.

R = √(6)^2 + (4)^2

R = √ 36 + 16

R = 7.2 m/s

We then have the resultant vector is 7.2 m/s.

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The dose of a drug is 500 mcg/kg of body weight. how many milligrams should be given to a child weighing 55 lb?

Answers

12.5 mg should be given to a child weighing 55 lb.

How is the dose of a drug determined when the body weight of a person is given?

Some medications especially for children can be prescribed according to the particular person's body weight in (kg) or their body surface area in (m²).

You have to multiply the dose with the weight to determine the required dose and then substitute in other formula.

1 kg = 2 lb

1 lb = 1 / 2 kg

55 lb = 0.5 × 55

27.5 kg

Dose = 500 mcg/kg

Therefore Dose = 12.5 mg for a child weighing 55 lb.

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What is the maximum current max when the circuit is at resonance, if the amplitude of the ac driving voltage is 72.0 v?

Answers

In a series RLC circuit, current I = V/Z, but at resonance, current I = V/R, hence the current at the resonant frequency is highest because the circuit impedance is merely resistance and is at its lowest at resonance. The plot between circuit current and frequency can be seen in the graph up top.

The impedance is the same as the resistor since the circuit is at resonance. The voltage divided by the resistance is then used to compute the peak current. Maximum voltage across an inductor in a series RLC occurs at a frequency slightly above the resonant frequency, while maximum voltage across a capacitor occurs at a frequency somewhat below the resonant frequency. A harmonic oscillator is driven at its natural frequency by a periodic force, which induces resonance. The apparatus is reported to resonate.

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How+long+will+it+take+for+the+voltage+across+the+capacitor+to+reach+60%+of+the+maximum+voltage

Answers

A series connection between a resistor and a capacitor creates an RC circuit, which charges the capacitor progressively through the resistor until the voltage across it equals the supply voltage. The time needed to fully charge the capacitor is about equal to 5-time constants, or 5T.

Any electrical or electronic circuit or system that receives a signal or voltage, whether continuous (DC) or alternating (AC), will experience some sort of "time-delay" between its input and output terminals. Commonly referred to as the circuit's time delay or time constant, this delay shows how long the circuit takes to respond to an input step voltage or signal.

The complete question is- How long does it take for the capacitor to reach its maximum voltage potential?

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A tv antenna has length l. the electromagnetic signal it can best pick up has a wavelength of _____ l.

Answers

A tv antenna has length l. the electromagnetic signal it can best pick up has a wavelength of 5.5 to 1.4 m (18 to 5 feet).

The maximum power transfer theorem, Maxwell's equations, and the fact that antennas are used to transmit and receive electromagnetic waves all suggest that the antenna's largest dimension is proportional to the wavelength, Frequency and wavelength are inversely proportional. The wavelength gets shorter as the frequency increases. A shorter antenna results from a shorter wavelength. Nevertheless, depending on the applications we use today, we may not always use wavelength/4, and the majority of our cellphones instead use wavelength/10 because wavelength/4 will produce an outdated phone with an external antenna that people will break frequently. However, the antenna performance on those phones was the best.

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16 When pollen grains in water are viewed through a microscope, they are seen to be in continuous,
rapid random motion.
What causes a pollen grain to move in this way?
A convection currents in the water
B bombardment by a single molecule of water
C
uneven
bombardment on different sides by water molecules
D collision with another pollen grain due to their kinetic energies

Answers

Uneven bombardment on different sides by water molecules.

Water is made up of little, swiftly moving particles. The pollen grains move on the surface of water because they are continually being struck by the swiftly moving water particles (the water particles or water molecules themselves are invisible under the microscope due to their extreme small size). Therefore, even though the water molecules (particles) are too small to discern, their impact on the pollen grains can be readily seen. Brownian motion is exemplified by the haphazard movement of visible particles (pollen grains) brought about by much smaller unseen water particles.The pollen grains will move with some justification if Brownian motion is used to explain the observation in the question.Brownian motion is the irregular (constant but random) movement of small particles suspended in a fluid, according to its definition. A disturbance in the medium holding the suspended particles is what is responsible for the motion. In other words, it is brought on by some fluid disruptions, which may have been brought on by some bombardments.

Therefore, option C is correct.

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Mass of solid sphere of gold 273.13kg. if density of gold is 19.32 g/cm3, find the diameter of the sphere.

Answers

Using solid sphere density, the diameter of the sphere is 29.98 cm.

We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as

ρ = m / V

where ρ is density, m is mass and V is volume

From the question above, we know that

ρ = 19.32 g/cm³

m = 273.13 kg = 273130 g

Find the volume of sphere

ρ = m / V

19.32 = 273130 / V

V = 273130 / 19.32

V = 14137.16 cm³

Find the diameter of sphere

V = 4/3 . π . r³

14137.16 = 4/3 . π . r³

r³ = 3373.64

r = 14.99 cm

d = 1/2 r

d = 2 . 14.99

d = 29.98 cm

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At a particular instant a free-falling object has a speed of 30 m/s. exactly 1 s later its speed will be?

Answers

At a particular instant, a free-falling object has a speed of 30 m/s. exactly 1 s later its speed will be 39.8 m/s.

As, this is a free-falling object with some,  initial velocity

so, u = 30m/s

the given time t = 1 sec

so, the final velocity will find out by using the kinematic equation

Using v = u + at

v = 30 + 9.8[tex]\times[/tex]1

v = 39.8 m/s

The most crucial scientific notion is measurement. Base or physical basic units are used to quantify a wide range of quantifiable quantities. One such quantifiable metric is speed, which calculates the ratio between the distance an item travels and the time needed to cover that distance.

Speedometers are used to measure speed in moving vehicles. Odometers are used to calculate the distance traveled. A graph may be used to calculate speed as well. The distance-time graph aids in comprehending an object's speed.

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A 11.3 v battery is connected to a 6.2 pf parallel-plate capacitor. what is the magnitude of the charge on each plate?

Answers

According to the capacitance, the charge on each plate is 70.06 pC.

We need to know about the capacitance of the air-filled capacitor to solve this problem. The capacitance of the air-filled capacitor depends on the charge and voltage. It can be written as

C = Q/V

where C is capacitance, Q is charge and V is voltage.

From the question above, we know that

C = 6.2 pF = 6.2 x 10¯¹² F

V = 11.3 V

By substituting the given parameters, we can calculate the charge on each plate

C = Q/V

6.2 x 10¯¹² = Q / 11.3

Q = 6.2 x 10¯¹² x 11.3

Q = 70.06 x 10¯¹² C

Q = 70.06 pC

Hence, the charge on each plate is 70.06 pC.

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A light ray in glass (n=1.5) hits the air-glass interface at an anlge of 10 degrees from the normal. what angle from the normal is teh light ray in teh air (n=1.0)?

Answers

By using Snell's Law, the refraction angle is 15.10⁰.

We need to know about Snell's Law to solve this problem. Snell's Law describes that the refraction of different mediums will depend on the refraction index. It can be written as

n1 . sin(θ1) = n2 . sin(θ2)

where n1 is the first refraction index, θ1 is the incident angle, n2 is the second refraction index and θ2 is the refraction angle.

From the question above, we know that

n1 = 1.5

n2 = 1

θ1 = 10⁰

By substituting the given parameters, we get

n1 . sin(θ1) = n2 . sin(θ2)

1.5 . sin(10⁰) = 1 . sin(θ2)

sin(θ2) = 1.5 . 0.17 = 0.26

θ2 = 15.10⁰

Hence, the refraction angle is 15.10⁰.

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What device is used to create static electricity

Answers

Answer: An electrostatic generator, or electrostatic machine, is an electrical generator that produces static electricity, or electricity at high voltage and low continuous current.

Explanation:

Answer:

electrostatic generator

Explanation:

Manual electrostatic generators develop electrostatic charges of opposite signs rendered to two conductors, using only electric forces, and work by using moving plates, drums, or belts to carry electric charge to a high potential electrode.

For each scenario below, identify the opposite reaction force. 1) A baseball bat hits a ball. 2) A bowling ball pushes up against the pins. 3) Air particles push outward against a balloon. 4) During an earthquake, tectonic plates move

Answers

The  reaction forces are as follows:

the ball hitting the batthe pins pushing against the bowling ball the walls of the balloon pushing against the air particlesthe weight of the tectonic plates.

What are reaction forces?

Reaction forces are the force which act in an opposite direction to an applied force.

According to Newton's third law of motion, action and reaction are equal but oppositely-directed.

Considering the given forces, the reaction forces are as follows:

A baseball bat hits a ball = the reaction force is that of the ball hitting the bat

A bowling ball pushes up against the pins = the pins pushing against the bowling ball

Air particles push outward against a balloon = the walls of the balloon pushing against the air particles

During an earthquake, tectonic plates move = the weight of the tectonic plates.

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A(n) ______ causes the equilibrium price to ______ and equilibrium quantity to ______.

Answers

A(n) decrease in supply results the equilibrium  price to rise and equilibrium quantity  fall

What causes equilibrium price to change?

As you'll see, a increase  in demand causes the equilibrium price to rise. On the other hand, a decrease in demand can let   the equilibrium price to fall. a rise in supply causes the equilibrium price to fall, while a decrease in supply causes the equilibrium price to rise.

How does equilibrium price affect equilibrium quantity?

A decrease in demand will cause the equilibrium price to fall; quantity supplied will decrease. a rise in supply, all other things remains unchanged, will cause the equilibrium price to fall; quantity demanded will increase. A decrease in supply will results to the equilibrium price to rise; quantity demanded will decline.

What can cause the market equilibrium price and equilibrium quantity?

An increase in demand, all other things remain unchanged, will cause the equilibrium price to rise; quantity to be  supplied will increase. A decrease in demand will results  the equilibrium price to fall; quantity supplied will decrease

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dangers of fibre optics​

Answers

Answer:Handling fibre optic cables can result in skin injury from glass shards, and the risk increases if these are ingested, which can lead to serious internal organ damage. Chemicals are commonly used to clean or process fibres, and this should only be undertaken in well-ventilated areas. As sharp and thin as these glass shards are, they can easily penetrate your skin. And unlike a wood sliver, these glass slivers will not degrade inside your skin. These cut pieces of fibre are very dangerous. If they were to end up in your lunch, they could cause internal bleeding and conceivably death.

If we compare our place in the universe with a very distant place, we can say that:_____.

Answers

When we compare our place in the universe with a very distant place, we can say that all the laws of physics are the same in each place.

Physics laws are the result of scientific observations made after very long years. The nature of physics laws is absolute and remains intact even in the presence of external factors.  They are conservative in terms of quantity, can be applied anywhere in the universe, are present everywhere, and remain stable. Some of these laws are as follows:

1. Law of universal gravitation

This law states that every object in the universe attracts each other in direct proportion to their combined mass and is inversely proportional to the distance between them.

2. Conservation of mass and energy

According to this law, mass, and energy can neither be created nor be destroyed. They can only be transferred from one form to another.  

3. Law of inertia

This is Newton's first law of motion. It states that a body can resist the change in its motion unless the application of an external force. The property of resisting the change in motion is called inertia.

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Someone one can answer with a dimensional analysis?

Answers

Using Dimensional analysis to calculate,

Dwight can grow 9600 beets on the 8 acres of land.

Michael can afford to buy enough pizzas.

Dimensional Analysis is a problem-solving technique that makes use of the fact that every number or statement may be multiplied by one without affecting its value. It is also known as the Unit Factor Method or the Factor-Label Method.

Using dimensional analysis to solve the given two problems,

a) 1/8 hectare = 150 beets

1 acre = 150 x 8 = 1200 beets

8 acres = 1200 x 8 = 9600 beets

Dwight can grow 9600 beets on the 8 acres of land.

b) 15 co-workers x 3 slices = 45 slices of pizza

No. of pizzas needed = 45/12 = 3.75 = 4 pizzas

Cost of pizzas = 19.50 x 4 = $78

Since Michael has $90, he can afford enough pizzas.

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Consider an incandescent lightbulb. If you wanted to turn a 10-w lightbulb into a 100-w lightbulb, how would you change the temperature of the filament inside the bulb?.

Answers

By using the blackbody radiation formula, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.

We need to know about black body radiation to solve this problem. The energy radiated by a black body object is proportional to the area and the fourth power of temperature. It can be determined as

P = A . e . σ . T⁴

where P is power, A is surface area, e is emissivity, σ is Stefan Boltzmann's constant ( 5.67 x 10¯⁸ W/m²K⁴) and T is temperature.

From the question above, we know that

P1 = 10 watt

P2 = 100 watt

T1 = T1

By using the black body radiation formula, the ratio of temperature is

T1⁴ / T2⁴ = P1 / P2

Hence,

T1⁴ / T2⁴ = P1 / P2

T1⁴ / T2⁴ = 10 / 100

T1⁴ / T2⁴ = 1 / 10

T2⁴ = 10T1⁴

T2 = ⁴√(10T1⁴)

T2 = T1 x 10⁰'²⁵

Thus, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.

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A researcher reports an f-ratio with df = 3, 36 for an independent-measures experiment. how many treatment conditions were compared in this experiment?
a) 36
b) 4
c) 39
d) 3

Answers

The correct option is B.

There were 4 treatment conditions compared in the experiment.

F ratio plays an essential role in performing a particular dataset of ANOVA. F ratio is particularly a ratio which is obtained by the between-group variance or it is also called MSB and also within-group variance known as MSW. Any  F-ratio which is computed is compared with the critical F-ratios from the table as it will check out if there are any variations available between the groups or not.

The researcher reports an F-ratio where the degrees of freedom = 3, 36.

F-ratio is obtained by the calculation of dividing the Mean squared errors because of the treatment by the Mean squared error which occurs due to error.

For the particular case, the researcher reports an F-ratio having degrees of freedom = 3, 36. It is indicating that the treatments are being distributed with degrees of freedom which is 3 and specified errors are distributed with degrees of freedom which is 36.

Let the treatments which were involved in the study can be denoted by k.

Let the total number of individuals involved in the study can be taken as N.

Then, the  treatments will be having  degrees of freedom as,

[tex]df_{treatments}[/tex] = k-1

3=k-1

k=3+1=4

Therefore, the required treatment condition number that was compared is 4.

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How far from the base of the cliff will milada hit the ground? ignore air resistance.

Answers

The distance from the base of the cliff Milada will hit the ground is 2.43 m.

The time taken by Chirpy to reach the ground is t.

t = 2.7 seconds

The initial velocity at which Milada jumps horizontally is u.

u = 95 cm/s = 0.95 m/s

Let the height of the cliff be h.

The height of the cliff is,

[tex]h = ut \: + \frac{1}{2} at ^{2} [/tex]

[tex]h = 0 + \frac{1}{2} \times 9.8 \times( 2.7) ^{2} [/tex]

[tex]h = \frac{1}{2} \times 9.8 \times( 2.7) ^{2} [/tex]

h = 35.72 m

The height of the cliff is 35.72 m.

The distance from the base of the cliff Milada will hit the ground is,

= Initial velocity × time

= u × t

= 0.95 × 2.7

= 2.43 m

Therefore, the distance from the base of the cliff Milada will hit the ground is 2.43 m.

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Many excitatory neurotransmitters cause the opening of channels that allow for the flow of ______.

Answers

Many excitatory neurotransmitters cause the opening of channels that allow for the flow of both Na+ and K+.

To influence another cell across a synaptic gap, a neuron produces a chemical signaling agent known as a neurotransmitter. Any significant organ, target cell, gland, or muscle cell that receives the signal could be another neuron as well. The message continues to be transmitted to the following cell as a result of the excitatory neurotransmitters "exciting" the neuron and causing it to "fire off the message.

Excitatory neurotransmitters include glutamate, adrenaline, and norepinephrine, to name a few. Acetylcholine, norepinephrine, and epinephrine are the neurotransmitters most known for their rapid but fleeting excitatory impact, while GABA is the main inhibitory neurotransmitter.

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Which of the following is the greatest number of times your heart can beat in one minute?
Target Heart Rate
Resting Heart Rate
Maximum Heart Rate
Beat Pulse Measurement

Answers

Answer:

What Is Maximum Heart Rate? Your maximum heart rate is, on average, the highest your pulse can get. One way to get a rough estimate of your predicted maximum is to subtract your age from the number 220. For example, a 40-year-old's predicted maximum heart rate is about 180 beats per minute.

Explanation:

A ball is thrown straight upwards. at the very top of its flight the velocity of the ball is zero. what direction, if any, is the acceleration at this point?

Answers

The acceleration due to gravity is constant even at the top of its flight and its direction will be towards to ground (Downwards).

The horizontal distance of an object in projectile motion relative to its origin is referred to as its range. Only at the highest point of a thrown object's flight does vertical (y) speed equal zero. This component of velocity does not change over time since there is no horizontal acceleration in the absence of air resistance.

For many people, this is a counterintuitive idea. (Depending on the object, air resistance will result in a little or major drop in velocity. However, for the time being, this aspect is disregarded.) Gravitational acceleration must be included in a vertical motion, and as a result, the vertical velocity evolves with time.

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A graph of velocity vs. time of a ship coming into a harbor is shown.

How would you describe the acceleration of the ship based on the graph?
The ship is moving in the forward direction at a steady rate. Then it decelerates
in the forward direction, and then continues to slow down in the forward
direction, but with more deceleration.
The ship is moving in the forward direction at a steady rate. Then it decelerates
in the forward direction, and then continues to slow down in the forward
direction, but with less deceleration.
The ship is moving in the forward direction at a steady rate. Then it turns around
and starts decelerating, while traveling in the reverse direction. It then
accelerates, but slowly.
The ship is moving in the forward direction at a steady rate. Then it accelerates
in the forward direction and then decelerates.

Answers

The graph shows that the ship decelerates in the forward direction, and then continues to slow down in the forward direction, but with more deceleration.

What is deceleration?

The term deceleration refers to a gradual reduction in the velocity of the object with time. We know that when an object is moving at a steady rate, the velocity of the object does not change and this can be seen as a flat portion in the velocity time graph.

Looking at the graph, we can see that we could  tend to look at the acceleration of the ship based on the graph with the view  that the ship is moving in the forward direction at a steady rate. Then it decelerates in the forward direction, and then continues to slow down in the forward direction, but with more deceleration.

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A cyclist is traveling at 7m s¹, then accelerates at 2.5m s2 for 15 seconds.
a.
How far did they travel during this time
What was the final speed after 15 seconds?
b.

Answers

Answer:

a)

[tex]{ \tt{s = ut + \frac{1}{2} {at}^{2} }} \\ \\ { \tt{s = (7 \times 15) + \frac{1}{2} \times 2.5 \times {15}^{2} }} \\ \\ { \tt{s = 105 + 281.25}} \\ { \tt{s = 386.25 \: m}}[/tex]

b)

[tex]{ \tt{v {}^{2} = {u}^{2} + 2as}} \\{ \tt{ {v}^{2} = {7}^{2} + (2 \times 2.5 \times 386.25)}} \\ { \tt{ {v}^{2} = 1980.25}} \\ { \tt{v = 44.5 \: m}}[/tex]

What must the charge (sign and magnitude) of a 1.45 gg particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 530 n/cn/c?

Answers

- 2.186 x 10⁻⁵ C must the charge (sign and magnitude) of a 1.45 gg particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 530 n/cn/c.

Electric field:

E = F/q

E ⇒ The magnitude of electric field

F ⇒ Electric force on a test charge q

q ⇒ Magnitude of the point charge

The electric field E at a position P where a charged particle with charge q is subjected to an electric force F is specified by the aforementioned equation.

There are two possible test charges: positive and negative. The directions of E and F are the same if it is positive; if it is negative, they are the opposite.

F = mg = Eq

q = mg/E

  = ((1.45 x 10⁻³ kg)(9.8 m/s²))/650 N/C

  = 2.186 x 10⁻⁵ C

Since the force must go upward and the electric field is in the opposite direction, q must be negative.

q= -2.186 x 10⁻⁵C

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The horizontal and vertical components of the initial velocity of a football are 24 m/s and 7 m/s respectively. what is the initial velocity of the football?

Answers

Answer:

Vx = V cos θ = 24

Vy = V sin θ = 7

Vy / Vx = tan θ = .292

θ = 16.3 deg

V = Vy / sin 16.3 = 24.9 m/s

Check:

V = Vx / cos 16.3 = 25 m/s (within rounding)

Which of the following best describes what the Nervous System does?
a. It sends glucose throughout the body.
b. It sends signals and messages throughout the body.
c. It sends oxygen throughout the body.
d. It sends liquid urine throughout the body.

Answers

Answer: It sends signals and messages throughout the body.

Answer:

b.

Explanation:

if you read B. its explains it sends signals and messages throughout your body so thats uour nervous system.

your welcome

A circular rod with a gage length of 3.6 m and a diameter of 2.6 cm is subjected to an axial load of 61 kn . if the modulus of elasticity is 200 gpa , what is the change in length?

Answers

By using Hooke's Law, the change in length is 2.07 x 10¯³ m.

We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as

F = k . x

where F is force, k is spring constant and x is displacement.

The elasticity can be measured by stress and strain which

e = σ/ε

e = (F/A) / (ΔL/L)

where σ is stress, ε is strain, A is surface area, ΔL is change in length and L is initial length.

From the question above, we know that

e = 200 GPa = 200 x 10⁹ Pa

F = 61 kN = 61000 N

d = 2.6 cm = 0.026 m

L = 3.6 m

Find the surface area

A = πr²

A = π(1/2 . 0.026)²

A = 5.31 x 10¯⁴ m²

By substituting the given parameters, we get

e = (F/A) / (ΔL/L)

200 x 10⁹ = (61000/5.31 x 10¯⁴) / (ΔL/3.6)

ΔL = 2.07 x 10¯³ m

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