Fred (m=67 kg) foolishly attempts top jump from a canoe (45kg) to the dock. if he jumps forward with a speed of 3.3 m/s how fast will the canoe move backward

Answers

Answer 1

Answer:

Approximately [tex]4.9\; {\rm m\cdot s^{-1}}[/tex] backward, assuming that the canoe was initially stationary.

Explanation:

When an object of mass [tex]m[/tex] is moving at a velocity of [tex]v[/tex], the momentum [tex]p[/tex] of that object would be [tex]p = m\, v[/tex].

With a mass of [tex]m = 67\; {\rm kg}[/tex] and a velocity of [tex]v = 3.3\; {\rm m\cdot s^{-1}}[/tex] forward, the momentum of Fred would be [tex]p = m\, v = 67\; {\rm kg} \times 3.3\; {\rm m\cdot s^{-1}} = 22.11\; {\rm kg \cdot m \cdot s^{-1}}[/tex] (forward.)

Before the jump, the velocity of the boat and Fred were both [tex]0\; {\rm m \cdot s^{-1}}[/tex]. Hence, the momentum of both Fred and the boat would initially be [tex]0\; {\rm kg \cdot m \cdot s^{-1}}[/tex].

Momentum is preserved immediately after the jump. Thus, the momentum of Fred plus the momentum of the boat would still be [tex]0\; {\rm kg \cdot m \cdot s^{-1}}[/tex] after the jump.

Since the momentum of Fred was [tex]22.11\; {\rm kg \cdot m \cdot s^{-1}}[/tex], the momentum of the boat would be [tex](-22.11\; {\rm kg \cdot m \cdot s^{-1}})[/tex] (backward, as the negative sign indicates.)

Rearrange [tex]p = m\, v[/tex] to find velocity in terms of mass [tex]m[/tex] and momentum [tex]p[/tex]:

[tex]\begin{aligned} v &= \frac{p}{m} \\ &= \frac{-22.11\; {\rm kg \cdot m \cdot s^{-1}}}{67\; {\rm kg}} \\ &\approx (-4.9)\; {\rm m \cdot s^{-1}}\end{aligned}[/tex].

In other words, the velocity of the boat would be approximate [tex]4.9\; {\rm m\cdot s^{-1}}[/tex] backwards.


Related Questions

The maximum current that a 2w, 80 k resistor can safely conduct is:_________
(a) 160 ka
(b) 40 ka
(c) 5 ma
(d) 25 ma

Answers

By using power, the maximum current is (c) 5 mA.

We need to know about power to solve this problem. Power is the energy dissipated because of resistance. The magnitude of power is proportional to current and voltage. It can be determined as

P = I . V

where P is power, I is current and V is voltage.

By using Ohm's Law, power also can be calculated using resistance.

P = I² . R

where R is resistance.

From the question above, we know that

P = 2 W

R = 80 kΩ = 80,000 Ω

By substituting the following parameters, we get

P = I² . R

2 = I² . 80,000

I² = 2 / 80,000

I² = 25 x 10¯⁶ A

I = 5 x 10¯³ A

I = 5 mA

Find more on power at: https://brainly.com/question/1634438

#SPJ4

The North American and European continents are moving apart at a rate of about 3 cm/y. At this rate how long will it take them to drift 480 km farther apart than they are at present?

Answers

It will take them 16000000 years to drift 480 Km apart

What is Rate?

In this context, rate is defined as distance per unit time Mathematically, it can be expressed as:

Rate = distance / time

How to determine the time taken to drift 480 Km apart

From the question given, the following data were obatined:

Rate = 3 cm/yDistance = 480 Km = 480 × 100000 = 48000000 cmTime =?

The time taken to drift can be obtained as follow:

Rate = distance / time

3 = 48000000 / time

Cross multiply

3 × time = 48000000

Divide both side by 3

Time = 48000000 / 3

Time = 16000000 years

Thus, it will take 16000000 years to drift 480 Km apart

Learn more about rate (speed):

https://brainly.com/question/19127881

#SPJ1

An inorganic compound, when placed in water, dissociates 99orming cations and anions neither of which are:______

Answers

Neither are Strong acid.

What does “strong acid” mean?

In the solution, solid acids entirely separate into ions. For instance, hydrochloric acid is a solid acid.

It totally ionizes, forming hydrogen and chloride ions. Nitric acid and sulfuric acid are also components of strong acids.

A solid or strong acid is one that has completely dissociated into ions. It is a weak acid if it does not dissociate completely.

What is an example of a strong acid?

Chloric acid, hydrobromic acid, hydrochloric acid, hydroiodic acid, nitric acid, perchloric acid, and sulfuric acid are the seven major acids that make up strong acids. These are referred to as strong acids since they can totally dissociate in water.

To know more about strong acid visit:

https://brainly.com/question/16749233

#SPJ4

By measuring the length of the skid marks, an accident investigator determines that the distance a car travelled between the brakes being applied and stopping was 22 m.

The investigator used a sled to determine the friction. The investigator then calculated that the car decelerated at 7.2 m / s2.
Calculate the speed of the car just before the brakes were applied.

Please help, i’m so confused!!

Answers

The initial velocity of the car just before the brakes were applied is 17.80 m/s

Given parameters

From the question given above, the following data were obtained:

Distance (s) = 22 mDeceleration (a) = -7.2 m/s²Final velocity (v) = 0 m/sInitial velocity (u) = ?

How to determine the initial velocity of the car

The initial velocity of the car can be obtained as illustrated below:

v² = u² + 2as

0² = u² + (2 × -7.2 × 22)

0 = u² + (-316.8)

0 = u² - 316.8

Collect like terms

u² = 0 + 316.8

u² = 316.8

Take the square root of both side

u = √316.8

u = 17.80 m/s

Thus, we can conclude that the initial velocity of the car before the brakes were applied is 17.80 m/s

Learn more about velocity:

https://brainly.com/question/21010554

#SPJ1

To verify proper temperature of the refrigerator, dod guidelines requires all vaccine storage devices be visually monitored a minimum of ___________.

Answers

At least twice a day, the storage of vaccines must be checked.

The recommended range for refrigerator temperatures is 2°C to 8°C (36°F to 46°F). All vaccine storage containers must be visually checked at least twice a day to ensure that the temperature is being maintained or verified as appropriate. In order to safeguard people and communities from illnesses that can be prevented by vaccination, proper vaccine storage and handling procedures are crucial. From the time a vaccine is made until it is given out, everyone is accountable for its quality.

Thus, twice a day, the vaccine storage devices must be monitored. 

Learn more about vaccines here:

https://brainly.com/question/6683555

#SPJ4

Agatha is in middle school and she sleeps five hours each night and then struggles the next day at school. How many hours of sleep does Agatha need each night?

A.
6

B.
8

C.
10

D.
12

Answers

Agatha requires (c) 10 hours of sleep each night.

Children in middle school ideally require average 9-12 hours of sleep each night. If the number of hours of sleep each night is compromised, it will show effect on the concentration and health of the child.

Because sleep is crucial to your physical health, it is crucial that you receive enough of it every night. For instance, your heart and blood arteries are able to recover and repair themselves as you sleep. An increased risk of heart disease, renal disease, high blood pressure, diabetes, and stroke has been related to chronic sleep deprivation. For the brain and body to operate properly the following day, doctors and specialists advise children to receive at least 9 to 12 hours of sleep each night.

Learn more about sleep each night here:

https://brainly.com/question/16351821

#SPJ9

A commuter backs her car out of her garage with an acceleration of 1.66m/s2.

a) How long does it take her to reach a speed of 2.28m/s?

b) If she then brakes to a stop in 0.86s, what is her acceleration?

Answers

The time taken by her to reach a speed of 2.28m/s is 1.37 s whereas, the acceleration on break to stop in 0.86s is 4.47 m/s².

Equation :

( a ) To find the time we use the formula,

a = Δv / Δt

where,

a is acceleration,

Δv is change in speed

Δt is time

So with this putting the given value,

We have,

1.66m/s² =  2.28m/s / Δt

Δt = 2.28m/s / 1.66m/s²

Δt = 1.37 s

( b ) Again using same formula for acceleration

a = Δv / Δt

So,

a =  2.28m/s / 1.37 - 0.86s

a =   2.28m/s / 0.51 s

a = 4.47 m/s²

What is acceleration and velocity?

The rate of change of displacement is known as velocity. The rate at which velocity changes is called acceleration. Due to the fact that it includes both magnitude and direction, velocity is a vector quantity. As the rate at which velocity changes, acceleration is also a vector quantity.

To know more about velocity :

https://brainly.com/question/19979064

#SPJ1

(a)The time has taken by a commuter to reach a speed of 2.28m/s is (t)= 1.37 s. (b) If she then brakes to a stop in 0.86s,Theamount of acceleration is (a)=   2.65 m/s².

What is acceleration and velocity?

The term velocity defines that how much distance a particle covered in a given time. The term acceleration defines that change in velocity in a particular time.

How can we calculate the value of acceleration and velocity?

( a ) To calculate the time we use the formula, v=u+at

As the particle start from rest so, u= initial velocity would be zero.

The equation becomes, v=at

t=v/a

where, we are given

a= acceleration  of the car =1.66m/s²,

v= speed of the car= 2.28m/s

We have to calculate the time=t

So now we put the given value in the above equation, We have,

t=v/a

Or, t = 2.28m/s / 1.66m/s²

Or, t = 1.37 s

According to the calculation we can say that, The time has taken by a commuter to reach a speed of 2.28m/s is (t)= 1.37 s

( b ) To calculate the acceleration we use the formula, v=u+at

As the particle start from rest so, u= initial velocity would be zero.

The equation becomes, v=at

a=v/t

where, we are given

v= speed of the car= 2.28m/s

t= The time take to break=0.86 s

We have to calculate the acceleration=a

So now we put the given value in the above equation, We have,

a=v/t

Or, a =  2.28 /0.86

Or, a = 2.65 m/s²

According to the calculation we can say that, If she then brakes to a stop in 0.86s,Theamount of acceleration is (a)=  2.65 m/s²

Learn more about velocity :

brainly.com/question/19979064

#SPJ1

A 50-kg stunt diver is falling at a speed of 20 m/s. When she is stopped by sinking into a cushion, the cushion exerts an average force of 2500 n on her. Approximately how much time did it take her to stop moving once she hit the cushion?.

Answers

The approximately time that takes to stop the stunt driver once she hit the cushion is: 0.4 s

To solve this exercise, the formulas and procedures to be applied are:

F = m * at = (vf – vi) / a

Where:

m = massF = Forcea = accelerationt= timevf= final velocityvi = initial velocity

Information about the problem:

m = 50 kgvi = 20 m/sF=  -2500 NVf = 0 m/s1 N = kg * m/s²a= ?t =?

Applying the force formula and isolating the acceleration, we get:

F = m * a

a = F/m

a = -2500 N /50kg

a = -2500 kg * m/s² / 50 kg

a = -50 m/s²

Applying the time formula we get:

t = (vf – vi) / a

t = (0 m/s – 20 m/s) / 50 m/s²

t = (– 20 m/s) / -50 m/s²

t = 0.4 s

What is force?

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

Learn more about force at: brainly.com/question/12970081

#SPJ4

Moving from the element with atomic number 10 to atomic number 11 on the periodic table, there is a change in reactivity. Which of the following are true? Select all that apply.
A. reactivity increases
B. reactivity decreases
C. neon has another shell (energy level, orbit), meaning the atom will be larger
D. sodium has another shell (energy level, orbit), meaning the atom will be larger
E. valence electrons in sodium are farther from the nucleus
F. atomic number 11 does not have a full electron shell.

Answers

Moving from the element with atomic number 10 to atomic number 11 on the periodic table, the following which are true include the following:

A. reactivity increases

C. neon has another shell (energy level, orbit), meaning the atom will be larger.

E. valence electrons in sodium are farther from the nucleus

F. atomic number 11 does not have a full electron shell.

What is Periodic table?

This is referred to as the tabular arrangement of elements into rows which is referred to as period or column which is referred to as group.

The reactivity increases in this scenario and atomic number 11 does not have a full electron shell because there is one valence electron which means it doesn't have stable octet configuration.

Read more about Periodic table here https://brainly.com/question/15987580

#SPJ1

If a horse weighs 2891 N on earth then what is its mass

Answers

Considering the definition of weight, the mass of the horse is 295 kg.

Definition of mass and weight

Mass is the amount of matter that a body contains and weight is the action exerted by the force of gravity on the body.

The mass of an object will always be the same. Instead, the weight of the object will vary according to the force of gravity acting on it.

Weight is calculated as the product of the object's mass and the value of the gravitational acceleration:

W= m×g

Mass of the horse

In this case, you know:

W= 2891 Ng= 9.8 m/s² gravity of Earth

Replacing in the definition of weight:

2891 N= m× 9.8 m/s²

Solving:

m=2891 N÷ 9.8 m/s²

m= 295 kg

Finally, the mass of the horse is 295 kg.

Learn more about mass and weight:

brainly.com/question/15566515

brainly.com/question/15271930

brainly.com/question/4735812

#SPJ1

What is the overall reaction order for the reaction that has the rate law: rate = k[o2] [no ]2?

Answers

 The overall reaction order for the reaction that has the rate law: rate = k[o2] [no ]2 is 3.

The rate law (also known as the rate equation) for a chemical reaction is an expression that provides a relationship between the rate of the reaction and the concentrations of the reactants participating in it.

Now,

The Rate equation is

Rate=  K[A]^m [B]^n

K = Rate constant.

m = order with Respect To A

n =  order with Respect To B.

m +n =  over all order of Reaction

R = K[NO2]^2 [O2]^1

Overall order = 2+1 =3 .

To know more about "Rate Law"

Refer this link:

https://brainly.com/question/13301088

#SPJ4

A caiman swims 190 meters at a speed of 10 m/s. it then enters a stream and slows to 2 m/s for 270 meters. what is the average speed of this cousin of the crocodile? quizlet

Answers

A caiman swims 190 meters at a speed of 10 m/s and it then enters a stream and slows to 2 m/s for 270 meters and then the average speed of this cousin of the crocodile is 2.98 m/s.

What is the speed on average?

The overall distance the object covers in a given amount of time is its average speed.

A scalar value represents the average speed thus it means that it has no direction and is thus by the magnitude.

How are average speeds determined?

The distance travelled is divided by the time taken and it is the formula for calculating average speed.

The alternative formula is to add into the initial and final speeds altogether and divide by two if you have the values.

Give an example of average speed.

The entire distance travelled is then divided by the total time interval to determine the average speed.

d1 = 190m

d2 = 270m

v1 = 10m/s

v2 = 2m/s

average speed = total distance/total time

t1 = 190/10 = 19s

t2 = 270/2 = 135s

so average speed = (190+270)/ (19+135)

= 460/154

=2.98 m/s

To know more about average speed visit:

https://brainly.com/question/12322912

#SPJ4

if a distance vs time graph is a vertical line, how would the velocity vs time graph look?

Answers

The sprinter's changing speed, as well as the speed of any other moving object or person, is displayed on a velocity-time graph. The slope of the graph line on a velocity-time graph is used to represent acceleration.

What is meant by acceleration?

Velocity's rate of change with time, both in terms of speed and direction. A point or object going straight ahead is accelerated when it accelerates or decelerates. m/s2 is the unit of acceleration. The term "constant acceleration" refers to the pace at which a particle's velocity changes.

Which four forms of acceleration are there?Uniform Acceleration. Non uniform acceleration. Instantaneous Acceleration. The slope of the time-velocity graph determines the rate of acceleration.

To know more about acceleration visit:

https://brainly.com/question/20382454

#SPJ9

A physics student drops a vibrating 440-hz tuning fork down the elevator shaft of a tall building. when the student hears a frequency of 400 hz, how far has the tuning fork fallen?

Answers

1. The speed of the source is 34m/s, using Doppler effect.

2. The location of the source at that time ([tex]t_{1}[/tex]) is 3.466s.

3. The time ([tex]t_{2}[/tex]) for sound to travel 58.92 m is 0.173s.

4. Tthe distance the source has fallen in time ([tex]t_{1} + t_{2}[/tex]) is 65m.

A wave's frequency changes in response to an observer moving in respect to the wave source, which is known as the Doppler effect or Doppler shift. It has the name of Christian Doppler, an Austrian physicist who first reported the phenomena in 1842.

Mathematically it is written as;

[tex]f' = \frac{(v+v_{0}) }{(v -v_{s}) } f[/tex]

1. Using doppler effect,

u = 340(440/440-1) m/s

u = 34m/s

Therefore, the speed of the source is 34m/s.

2. y = [tex]u^{2}[/tex]/2g

y = [tex]34^{2}[/tex]/2×9.8

y = 58.92m

So, [tex]t_{1}[/tex] = u/g       (Using u obtained above from Doppler effect)

[tex]t_{1}[/tex] = 34/9.8

[tex]t_{1}[/tex] = 3.466s

Therefore, the location of the source at that time ([tex]t_{1}[/tex]) is 3.466s.

3. [tex]t_{2}[/tex] = 58.92 / 340

[tex]t_{2}[/tex] = 0.173s.

Therefore, the time ([tex]t_{2}[/tex]) for sound to travel 58.92 m is 0.173s.

4. d = [tex]\frac{1}{2}gt^{2}[/tex]

d = [tex]\frac{(9.81)(3.639^{2}) }{2}[/tex]

d = 65m.

Therefore,  the distance the source has fallen in time ([tex]t_{1} + t_{2}[/tex]) is 65m.

The complete question is: A physics student drops a vibrating 440-hz tuning fork down the elevator shaft of a tall building. when the student hears a frequency of 400 hz, how far has the tuning fork fallen?

1.Find the speed of the source from Equ. 15-332.

2.Find the location of the source at that time ([tex]t_{1}[/tex])

3. Find the time ([tex]t_{2}[/tex]) for sound to travel 58.92 m.

4.Find the distance the source has fallen in time ([tex]t_{1} + t_{2}[/tex])

Learn more about Doppler effect here:

https://brainly.com/question/28106478

#SPJ4

A light-rail commuter train accelerates at a rate of 1.40 m/s2. how long does it take to reach its top speed of 76.5 km/h, starting from rest?

Answers

It takes 15.17s time to reach its top speed.

Calculation

Vo = 0m[tex]s^{-1}[/tex]

Its top speed v = 76.5 km/h

= 21.25 m/s

acceleration of the train = 1.4 m/[tex]s^{2}[/tex]

Then

V = Vo +at

21.25 = 0+ 1.4t

t = 21.25/ 1.4 = 15.17 s

Acceleration

The rate at which an object’s velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations.

The direction of the net force applied on the item determines the object’s acceleration.

To know more about acceleration visit:

https://brainly.com/question/12550364

#SPJ4

if your parents slam the brakes while they are driving at 22.0 M/S for 2.0 seconds and your new velocity is 14 M/S what acceleration did you experience?

Answers

The acceleration experienced is  -4 m/s.

Acceleration is the rate of change of an object's velocity with respect to time. Acceleration is a vector quantity. The direction of an object's acceleration is given by the direction of the net force acting on that object. Acceleration is the name we give to the process of changing velocity. Velocity is both speed and direction, so there are only two ways to accelerate.

Velocity is the rate of change of displacement. Acceleration is the rate of change of velocity. Velocity is a vector quantity because it consists of both magnitude and direction. Since acceleration is the rate of change of velocity, it is also a vector quantity.

initial velocity =   22.0 M/S

final velocity = 14 m/s

time to change the velocity = 2 second

v = u + at

at = u - v

a= - [tex]\frac{u - v}{t}[/tex]

a = - [tex]\frac{22 -14}{2}[/tex]

a = -8/2

a = -4 m/s

Learn more about acceleration here:-https://brainly.com/question/460763

#SPJ1

Two spaceships are heading toward each other at a mutal speed of 0.999c. both ships shine a laser beam at one another. how will each ship see the other light?

Answers

Both the ships will see the other ship with the same velocity i.e, 0.999c m/s.

To calculate the velocity of one ship as seen by the other ship, we need to use the velocity transformation formula derived from Lorentz transformation:

V = {v1 - v2/1-(v1)(v2)} x c

Here v1 and v2 are the velocities of the two ships

As the ships are heading towards each other v1 = -v2 = 0.999c

Putting this value in the above equation

V = 0.999c + 0.999c/1 - (0.999c)(0.999c) x c = 0.999c m/s

Hence, both the ships will see the other ship with the same velocity i.e, 0.999c m/s.

To know more about "relative velocity", refer to the link given below:

https://brainly.com/question/12846122?referrer=searchResults

#SPJ4

How many combinations total would you observe for this individual heterozygous for 3 genes on 3 differnt chromsomes?

Answers

It is feasible for a human to be heterozygous for the following gametic combinations if three genes on three distinct chromosomes are involved:

If chromosome 1 is present, the person can create 2 different types of gametes. Regarding chromosome number 2, there are also two types. The resulting equation is:

There are 2n different types of gametes, where n is the total number of chromosomes. So,

2^3 = 8.4X10^6 different gametes.

The thread-like components known as chromosomes are found in the nucleus of both animal and plant cells.

Protein and a single molecule of deoxyribonucleic acid make up each chromosome (DNA). DNA is passed down from parents to children and contains the precise instructions that give each kind of living thing its individuality.

Learn more about chromosomes:

https://brainly.com/question/11912112

#SPJ4

in the description of the features for a new car model it says that it can reach a maximum speed of 180 km/h. If it moves at that speed, how far will the car travel in 3 h?​

Answers

If it moves at given speed, the car travels, d = 540 km in 3 hours.

Equation :

s = d / t

where,

s is speed

d is distance

t is time

So given data are :

s = 180km/h

t = 3 hour

d = ?

Now putting values,

speed = distance / time

180km/h = d / 3 h

d = 180 km/h x 3 h

d = 540 km

Speed :

A scalar quantity, speed is defined as the size of the change in an object's position over time or the size of the change in an object's position per unit of time. Speed is calculated as Distance x Time. Time is calculated as Time = Distance / Speed. Distance is calculated as Distance = Speed x Time.

To know more about Speed :

https://brainly.com/question/28224010

#SPJ9

[tex] \huge\qquad\underline{{\tt Question : }} [/tex]

How does an induction motor starts ?

[ best answer will get brainliest ]

Answers

Answer:

A rotating magnetic field is produced and the rotor begins rotating and the induction motor starts.

Explanation:

[tex]\huge\qquad\underline{{\tt Answer : }} -[/tex]

As the name suggests, the induction motor is started by connecting it directly to three-phase supply. In this method, the motor draws a high starting current (about 4 to 7 times of the rated current) and at low power factor. Therefore, DOL starting is suitable for relatively small motors (up to 10 kW)

user58580~

SI units for mass length and tempature

Answers

Answer: GoodMorning: ) ✨

kilogram (kg)

The SI unit of mass is the kilogram (kg).

Explanation:

Hope this helps: )

Calculate the power used in the problem above if to took one minute to lift the load.

Answers

The power used in the problem above if to took one minute to lift the load is W / 60 Watts

W = F * d

P = W / t

W = Work done

F = Force

d = Distance

t = Time

P = Power

t = 1 min

t = 60 seconds

P = W / 60 ( or ) F * d / t

Power is the work done rate with respect to time. Its unit is Watts. 1 watt = 1 Joule / Second. It is denoted by P.

Therefore, the power used is W / 60 Watts

To know more about Power

https://brainly.com/question/3854047

#SPJ1

Calculate the height of a cliff if it takes 2. 35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8. 00 m/s.

Answers

The height of a cliff is 8.26 m

What is the equation of motion?Second Equation of Motion - Derivation s = ut + 1/2 ^2 Derivation × We know that Velocity = / Velocity × Time = Displacement Displacement = Velocity × Time If Velocity is not constant (i.e. Velocity keeps on increasing or decreasing).

We changed this for our required

[tex]y_{0}[/tex] = - [tex]V_{0}[/tex]t - 1/2 ^2                (1)

Now, t = 2.35s

a = -9.8 m/[tex]S^{2}[/tex]

Substitute this value in equation (1)

[tex]y_{0}[/tex] = - [tex]V_{0}[/tex]t - 1/2 ^2  

[tex]y_{0}[/tex] = -(8.00m/s) (2.355) - 1/2 (-9.8m/s) [tex]2.35^{2}[/tex]

[tex]y_{0}[/tex] = 8.26 m

To learn more about height calculation, refer

to https://brainly.com/question/25922783

#SPJ4

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

The charge on the particle must be 2.68 x 10^5 C.

Electric force and Force of gravity

The given mass of the particle, m = 1.45 g = 0.00145 kg

Acceleration due to gravity = 9.8m/s²

Electric field strength, E = 530 N/C

The electric force on the particle is therefore given by;

F = qE, where,

q =charge,

F= force = mg

E is the electric field

For a particle to be stationary this force must be equal to force due to gravity, that is mg force

Hence, qE = mg

q = mg/E.

q = (0.00145 ×9.8)/530

The charge on the particle is, therefore; 2.68 x 10^5 C.

To learn more about charge please visit-
https://brainly.com/question/27171238
#SPJ4

which of the five zones shown on the map has the greatest amount of land area suitable for people to live?
I have to get it done right now

Answers

The zone in the map that has the greatest amount of land area suitable for people to live is zone B.

What is equator?

The equator is the imaginary line that divides the earth horizontally into two equal halves of North and South zones.

The countries that are located close to the equator include the following:

Ecuador, Colombia,

Brazil, Sao Tome & Principe,

Gabon, Republic of the Congo,

Democratic Republic of the Congo,

Uganda, Kenya, Somalia, Maldives,

Indonesia and Kiribati.

From the map, the zone with the greatest amount of land area suitable for people to live is the zone closest to the equator which is zone B.

The temperature of these areas are close to moderate through out the year.

The zone B also contains land mass that is part of the largest continent which is Asia.

Therefore, the zone in the map that has the greatest amount of land area suitable for people to live is zone B.

Learn more about the equator here:

https://brainly.com/question/16876469

#SPJ1

FAST HELP PLS
Which equation represents how the kinetic energy (KE) of a system relates to its gravitational potential energy (GPE) and total mechanical energy (ME)?
A.
KE = ME + GPE

B.
KE = GPE × ME

C.
KE = GPE - ME

D.
KE = ME - GPE

Answers

The equation represents how the kinetic energy (KE) of a system relates to its gravitational potential energy (GPE) and total mechanical energy (ME) is: KE = ME - GPE; option D

What is the law of the conservation of energy?

The law of conservation of energy states that in a system, the total energy is conserved. This means that energy is nether created nor destroyed but can be transformed from one form to another.

The total mechanical energy in a system is composed of two parts:

gravitational potential energy, and kinetic energy

Mathematically;

Mechanical energy, ME = gravitational potential energy GPE + kinetic energy KE

Thus the equation represents how the kinetic energy (KE) of a system relates to its gravitational potential energy (GPE) and total mechanical energy (ME) is KE = ME - GPE

Learn more about mechanical energy at: https://brainly.com/question/17051553

#SPJ1

A calculator is found to have a volume of 0.154 liters show using analysis what the volume of the calculator is in gallons?

Answers

The volume of 0.154 liters expressed in gallons is: 0,0406 gallons

To solve this problem the we have to do the conversion of units with the given information.

Information about the problem:

v = 0.154 litersv = expressed in (gallons) =  ?1 gallon = 3.785 liters

By converting the volume units from  (liters) to miles per hour (gallons) we have:

v = 0.154 liters * 1 gallon/3.785 liters

v = 0,0406 gallons

What is unit conversion?

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

Learn more about unit conversion at: brainly.com/question/141163

#SPJ4

The mass spectrum of an amine shows a parent peak with an odd mass for the molecular ion. what does this tell you about the amine?

Answers

The amine contains an odd number of N atom because the mass spectrum of an amine shows a parent peak with an odd mass for the molecular ion.

The m/z ratios of the ions contained in a sample displayed against their intensities form a mass spectrum. The mass spectra of amines are dominated by alpha-cleavage, which results in an alkyl radical on a resonance stabilized nitrogen containing cation.

Each peak in a mass spectrum shows a component of unique m/z in the sample, and heights of the peaks denote the relative abundance of the various components in the sample. Multiple alpha-cleavages are possible for secondary and tertiary amines.

Therefore, the  amine contains an odd number of N atom because the mass spectrum of an amine shows a parent peak with an odd mass for the molecular ion.

Learn more about mass spectrum here;

https://brainly.com/question/4994855

#SPJ4

What is the dominant intermolecular force that determines the solubility of the amine hydrochloride salt of ethyl 4-aminobenzoate in water?

Answers

Amine hydrochloride salt of ethyl amino benzoate will be ionic in nature

water is polar in nature so ion-dipole Will be dominant intermolecular force what is intermolecular force?The forces that draw atoms, molecules, and ions together when they are positioned near to one another are referred to as "Intermolecular forces."This differs from Intramolecular forces, similar term for the covalent bonds that exist inside molecules.A positive (+) charge on one particle is drawn to a negative (-) charge on the other particle when two particles interact through an intermolecular interaction.Atoms, molecules, or ions are strongly attracted to one another and move toward one another when intermolecular interactions are high. These are more frequently encountered in states that are condensed, like liquid or solid.Atoms, molecules, or ions do not have a significant attraction to one another and move widely apart when intermolecular interactions are weak.

To know more about intermolecular force visit:

https://brainly.com/question/9328418

#SPJ4

The correct question is:

What is the dominant intermolecular force that determines the solubility of the amine hydrochloride salt of ethyl 4-aminobenzoate in water?

a)ion-ion

b)ion-dipole

c)London dispersion

d)hydrogen bonding

A rectangular field in a park is 58.5 ft wide and 114 ft long. what is the area of the field in square meters?

Answers

By unit conversion, the area of rectangular field park is 619.59 m².

We need to know about unit conversion to solve this problem. The unit conversion can be used to convert a unit to another unit. It can be defined as

a = xb

where a is unit a, b is unit b and x is the constant of conversion.

From the question above, we know that

w = 58.5 ft

l = 114 ft

Convert the width and length to meter (1 ft = 0.3048 m)

w = 58.5 ft

w = 58.5 x 0.3048 m

w = 17.83 m

l = 114 ft

l = 114 x 0.3048 m

l = 34.75 m

Find the area

A = w x l

A = 17.83 x 34.75

A = 619.59 m²

Find more on unit conversion at: https://brainly.com/question/4158962

#SPJ4

Other Questions
Why does McDonald's have a menu that varies across space? please help, thank you According to the passage, what influenced Alvarez to want to be called Judy? the product of two irrational numbers is rational? true/false An advantage of sexual reproduction is that: _________a. it increases deleterious mutations in successive generations. b. it generates greater resistance to disease in offspring. Randy has established a successful fast-food restaurant chain named randys in the united states. He currently has 12 locations across three states. Hed like to expand his brand to asia, but does not have the capital to do so. Hes also wary of the risk of failure, especially because he is not very familiar with business in asia. If you were consulting randy, what route would you advise against?. please help im foundation maths and dont understand:( 3. What would happen if two black holes were tocollide? The nurse overseeing care in the icu reviews the shift report on four patients. the nurse recognizes which patient to be at greatest risk for the development of cardiogenic shock? Which of the following best describes the focus of the contextual theory of development? Snapgram+corporation+has+a+net+profit+margin+of+%,+a+total+asset+turnover+of+times,+total+assets+of+$+billion,+and+total+equity+of+$+million.+what+were+the+company's+sales+and+net+profit? A rock transformed from any other rock through extreme heat and or pressure is referred to as:_________ Why were many residents in rural areas disappointed with local clergy in the late seventeenth century? A company needs to sell 90,000 units to reach the target profit of $180,000. if each unit sells for $7.50, the total sales dollars needed to reach the target profit is $:__________ Join the sentences using a clause with when. Write two versions for each sentence.ExampleWhen she was young, she lived in Italy. / She lived in Italy when she was young.1Florence was a baby. Thats when her family moved to England.2There was a war against Russia. At that time, Florence worked as a nurse3Florence was young. At that time, women usually stayed at home Michael and Lauren each have a coin collection.The number of coins in Michael's collection can be represented by x.The number of coins in Lauren's collection is 5 times the number in Michael's collection.The total number of coins in both collections is 366.What is x, the number of coins in Michael's collection? Compare and contrast societies outside of the river basins to societies in the river basins. 1676, what happened to end King Philip's War? 19). Leaders who challenge their followers to seek continuous improvement are using _____ leadership behaviors.A) directiveB) achievement-orientedC) supportiveD) participativeWhich is correct! Stakeholders have been able to form international coalitions more successfully through use of?