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Answer:

a) The magnitude of the electric charge that a 60-kg human must have to overcome weight is 3.923 coulombs and its sign is negative.

b) The force of repulsion between two people is [tex]13.851\times 10^{6}[/tex] newtons. The use of the earth's electric field a feasible means of flight is not feasible since electric force of repulsion would destroy human body before taking advantage of any possible flight skill.

Explanation:

a) From Second Newton's Law, we form this equation of equilibrium:

[tex]\Sigma F = F_{E}-W = 0[/tex] (Eq. 1)

Where:

[tex]F_{E}[/tex] - Electrostatic force exerted on human, measured in Newton.

[tex]W[/tex] - Weight of the human, measured in Newton.

If we consider that human can be represented as a particle and make use of definitions of electric field and weight, the previous equation is expanded and electric charge is cleared afterwards:

[tex]q\cdot E-m\cdot g = 0[/tex]

[tex]q = \frac{m\cdot g}{E}[/tex] (Eq. 2)

[tex]E[/tex] - Electric field, measured in Newtons per Coloumb.

[tex]m[/tex] - Mass, measured in kilograms.

[tex]g[/tex] - Gravity acceleration, measured in meters per square second.

[tex]q[/tex] - Electric charge, measured in Coulomb.

As electric field of the Earth is directed in toward the center of the planet, that is, in the same direction of gravity, electric field must be a negative value. If we know that [tex]m = 60\,kg[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]E = -150\,\frac{N}{C}[/tex], the charge that a 60-kg human must have to overcome weight is:

[tex]q = \frac{(60\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}{-150\,\frac{N}{C} }[/tex]

[tex]q = -3.923\,C[/tex]

The magnitude of the electric charge that a 60-kg human must have to overcome weight is 3.923 coulombs and its sign is negative.

b) The electric force of repulsion between two people with the same charge calculated in part (a) is determined by Coulomb's Law, whose definition we proceed to use:

[tex]F = \kappa \cdot \frac{q^{2}}{r^{2}}[/tex] (Eq. 3)

Where:

[tex]\kappa[/tex] - Electrostatic constant, measured in Newton-square meter per square Coulomb.

[tex]q[/tex] - Electric charge, measured in Coulomb.

[tex]r[/tex] - Distance between two people, measured in meters.

If we know that [tex]\kappa = 9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}}[/tex], [tex]q = -3.923\,C[/tex] and [tex]r = 100\,m[/tex], then the force of repulsion between two people is:

[tex]F = \left(9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} \right)\cdot \left[\frac{(-3.923\,C)^{2}}{(100\,m)^{2}} \right][/tex]

[tex]F = 13.851\times 10^{6}\,N[/tex]

The force of repulsion between two people is [tex]13.851\times 10^{6}[/tex] newtons. The use of the earth's electric field a feasible means of flight is not feasible since electric force of repulsion would destroy human body before taking advantage of any possible flight skill.

Answer: I only know that the skater riding down the ramp increeses it's kinetic energy.

Explanation:

Answer:

Displacement is 5√2 miles

Explanation:

From south, Scott travelled 2 miles north and then 5 miles west then he came back south by 7 miles.

I've attached a diagram to indicate Scott's path travelled

Now, displacement is a vector quantity that tells us the overall change in position by Scott i.e distance from his initial position to his current final position while distance is a scalar quantity and tells us how much ground Scott covered in his motion over the entire trip.

Now, from the attached image, the displacement is denoted by "d".

d can be found from pythagoras theorem.

Thus;

d² = 5² + 5²

d = √50

d = 5√2 miles

Answer:

44M 64M

Explanation:

Explanation:

According to newton's second law of motion.

[tex]\sum Fx = ma\\\\\sum Fx = 1061 - 915\\\\\sum Fx = 146N[/tex]

m is the mas of the sky diver = 93.4kg

a is the acceleration of the skydiver

From the formula above;

[tex]a = \frac{\sum Fx}{m}\\ \\a = \frac{146}{93.4}\\\\a = 1.563m/s^2[/tex]

Hence the acceleration of the sky diver is 1.563m/s²

Answer:

2.22m/s to the left

Explanation:

Given parameters:

Initial position = +125m

Final position  = -75m

Motion time  = 90s

Unknown:

Velocity of the steel ball  = ?

Solution:

The velocity of the steel ball is given as the displacement divided by the time;

   Velocity  = [tex]\frac{displacement}{time}[/tex]

The net displacement of the ball  = 125- (-75) = 200m to the left

Input the parameters and solve for the velocity;

     Velocity  = [tex]\frac{200}{90}[/tex]   = 2.22m/s to the left

Answer:

III) [tex]d_{1}+ d_{2}=d_{t}[/tex]

Explanation:

I) coordinate (0,5) is the head for [tex]d_{1}[/tex] I will put the tail coordinate as (0,0) but it could be any other number in the x just not in the 5  with the the y being any other value.

II) coordinate (5,5) is the head for [tex]d_{2}[/tex] the tail needs to be in the head of [tex]d_{1}[/tex] being (0,5)

III) coordinates for [tex]d_{t}[/tex] is connecting the tail from [tex]d_{1}[/tex] and the head of [tex]d_{2}[/tex] making it (0,0)[tex](tail)[/tex] and (0,5)[tex](head)[/tex] and is written as [tex]d_{1}+ d_{2}=d_{t}[/tex]

(i) using coordinate grid notation to represent d₁, d₁ = 5y

(ii) using coordinate grid notation  to represent d₂, d₂ = 5x + 5y

(ii) The sum of d₁ and d₂ is written as 5x + 10y

In order to show the horizontal direction of a vector, we will place x after the magnitude of the vector.

Also, to show the vertical direction of a vector, we will place a y after the magnitude of the vector.

(i) Using coordinate grid to represent d₁ = (0, 5)

[tex]d_1 = 0(x) + 5(y)\\\\d_1 = 5y[/tex]

(ii) Using coordinate grid to represent d₂ = (5, 5)

[tex]d_2 = 5x + 5y[/tex]

(iii) The total vector is written as;

[tex]d_1 + d_2 = 5y + (5x + 5y)\\\\d_1 + d_2 = 5y + 5x + 5y\\\\d_1 + d_2 = 5x + 10y[/tex]

Learn more here: https://brainly.com/question/17212749

Answer:

K.E of the Astronaut is greater

Explanation:

Mathematically;

K.E = 1/2 * m * v^2

For the truck, the kinetic energy will be

1/2 * 21,000 * 130^2 = 177,450,000 J

while for the astronaut, his K.E will be

1/2 * 84 * 28,000^2 = 3.2928 * 10^10

This shows that the K.E of the astronaut is greater

Answer:

a. resin and turpentine

Explanation:

The chemicals that diverged from trees are resin and turpentine.

Resin are produced by special cells in trees, most times we see them when a tree is damaged or cut. They are usually derived from pines and firs.

Turpentine is obtained by distilling resin.

 Turpentine has an antiseptic property that has different uses. They are used as cleansing agents and for producing sanitary materials.

Dimensional formula of stress is same as pressure.

Answer:

2, 3, 4, 1

Explanation:

geosphere, hydrosphere, biosphere, and atmosphere

Answer:

Lithosphere hydrosphere biosphere atmosphere

Explanation:

So yea mark me brainliest

Answer:

B

Explanation:

A normal heart rate is from 85-95% the other heart rate is not normal because your heart is beating more than normal

Answer:

The correct answer is (a)

Explanation:

A spring scale measures the weight of an object not the mass because according to hooke's law the extension of a spring is directly proportional to the load or force attached/applied to it. The force of gravity acting on the mass of any substance as it goes up actually reduces and increases as it comes down.

If F = ma, as a increases, F will also increase and vice versa

Where F = force

m = mass

a = acceleration (due to gravity in this case)

From the above explanation, it can be deduced that the scale will read more than mg as it gets to the ground because of an increase in the force of gravity (which also increases a) as it approaches the ground.

Answer:

if you place a glass of boiling water in a paper cup filled with hot pads

Explanation:

am I thinking too deeply into this or does it make sense

Answer:

dy

Explanation:

My guess of guts.

okay bye

Answer: B. The gravitational field strength of Planet X is Wx/m.

Explanation:

Weight is a force, and as we know by the second Newton's law:

F = m*a

Force equals mass times acceleration.

Then if the weight is:

Wx, and the mass is m, we have the equation:

Wx = m*a

Where in this case, a is the gravitational field strength.

Then, isolating a in that equation we get:

Wx/m = a

Then the correct option is:

B. The gravitational field strength of Planet X is Wx/m.

Answer:

The acceleration is [tex] a =  17.083 \ m/s^2 [/tex]

Explanation:

From the question we are told that

   The force is [tex]F =  41 \  N[/tex]

     The mass of the object is [tex]m  =  2.4 \  kg[/tex]

Generally the force is mathematically represented as

        [tex]F  =  m*  a[/tex]

=>      [tex] 41  = 2.4*  a[/tex]

=>      [tex] a =  17.083 \ m/s^2 [/tex]

Answer:

Maximum range is achieved by launching the projectile at an  angles of 45 degrees.

so the answer is B

Explanation:

What is the range of a projectile?

this can be defined as the maximum horizontal distance covered by a projectile

R=v^2sin(2θ)/2g

Why is 45 degrees maximum range?

"The sine function reaches its largest output value, 1, with an input angle of 90 degrees, so we can see that for the longest-range puts 2θ = 90 degrees and, therefore, θ = 45 degrees."

Hence a projectile, travels the farthest when it is launched at an angle of 45 degrees

Answer:

Answer and steps in the pic

Answer:

a) uncertainty percentage = 10%

b) if R could be measured within 1%, uncertainty percentage is 9%,

it wouldn't make much difference

Explanation:

Given that;

velocity v = 4%

radius R = 2%

using calculation on errors / uncertainties in mumber,

To find error/uncertainty in aₙ

aₙ = V² / R

= V₂ × 1/R

V × V × 1/R

let U + V be x and relative error ΔV/V = 4% = 0.04

also, let R be Y and error (relative) ΔR/R = 2% = 0.02

so aₙ = V²/R = x² / y --------------------- let this be equ 1

Δaₙ/aₙ = ΔV/V + ΔR/R + ΔV/V             {V×V×1/R}

Δaₙ/aₙ  = 0.4 + 0.02 + 0.4

Δaₙ/aₙ  = 0.1

so 0.1 × 100 = 10%

therefore uncertainty percentage = 10%

if R could be measured within 1%

Δaₙ/aₙ = (0.04 × 2) + 0.01

= 0.08 + 0.01

= 0.09

so 0.09 × 100

= 9%

therefore if R could be measured within 1%, uncertainty percentage is 9%,

it wouldn't make much difference

Answer:

yeah

Explanation:

Geology. a basic law of geochronology, stating that in any undisturbed sequence of rocks deposited in layers, the youngest layer is on top and the oldest on bottom, each layer being younger than the one beneath it and older than the one above it.

Answer:

Found this answer off of google, "Geology. a basic law of geochronology, stating that in any undisturbed sequence of rocks deposited in layers, the youngest layer is on top and the oldest on bottom, each layer being younger than the one beneath it and older than the one above it."

Hope this helps, have a great day and stay safe!

Also Happy Halloween! :) :D :3

Answer:

Hello your question is incomplete attached below is the complete question

Answer : x ( acceleration of mass 4m ) = [tex]\frac{g}{7}[/tex]

The top pulley rotates because it has to keep the center of mass of the system at equilibrium

Explanation:

Given data:

mass suspended = 4 meters

mass suspended at other end = 3 meters

first we have to express the kinetic and potential energy equations

The general kinetic energy of the system can be written as

T = [tex]\frac{4m}{2} x^2 + \frac{3m}{2} (-x+y)^2 + \frac{m}{2} (-x-y)^2[/tex]

T = [tex]4mx^2 + 2my^2 -2mxy[/tex]  

also the general potential energy can be expressed as

U = [tex]-4mgx-3mg(-x+y)-mg(-x-y)+constant=-2mgy +constant[/tex]

The Lagrangian of the problem can now be setup as

[tex]L =4mx^2 +2my^2 -2mxy +2mgy + constant[/tex]

next we will take the Euler-Lagrange equation for the generalized equations :

Euler-Lagrange  equation = [tex]4x-y =0\\-2y+x +g = 0[/tex]

solving the equations simultaneously

x ( acceleration of mass 4m ) = [tex]\frac{g}{7}[/tex]

The top pulley rotates because it has to keep the center of mass of the system at equilibrium

Answer:  Scientists believe that about 25 of the known elements are essential to life. Just four of these – carbon, oxygen, hydrogen, and nitrogen– make up about 96% of the human body. Six common elements that are important in living things are  carbon, hydrogen, oxygen, nitrogen, sulfur, and phosphorus. These large molecules  make up the structures of cells and carry out many  many processes essential to life.

Plz mark brainliest:)

Answer:

The spring constant is 3.44x10⁶ kg/s².

Explanation:

We cand find the spring constant by conservation of energy:

[tex] E_{i} = E_{f} [/tex]

[tex] mgh = \frac{1}{2}kx^{2} [/tex]   (1)

Where:

m is the mass =  41700 kg

g is the gravity = 9.81 m/s²

h is the height = 2.65 m

x is the distance of spring compression = 79.4 cm

k is the spring constant =?

Solving equation (1) for k:

[tex]k = \frac{2mgh}{x^{2}} = \frac{2*41700 kg*9.81 m/s^{2}*2.65 m}{(0.794 m)^{2}} = 3.44 \cdot 10^{6} kg/s^{2}[/tex]              

Therefore, the spring constant is 3.44x10⁶ kg/s².

I hope it helps you!

This question involves the concept of semi-projectile motion. It can be solved using the equations of motion in the horizontal and the vertical motion.

The bullet drops "2.76 m" by the time it reaches the target.

First, we will analyze the horizontal motion. We assume no air resistance, so the horizontal motion will be uniform. Hence, using the equation of uniform motion here to find the total time to reach the target:

[tex]s = vt\\\\t = \frac{s}{v}[/tex]

where,

s = distance = 75 m

v = velocity = 100 m/s

t = time = ?

Therefore,

[tex]t = \frac{75\ m}{100\ m/s}[/tex]

t = 0.75 s

Now, we will analyze the vertical motion of the bullet. We will use the second equation of motion in the vertical direction to find the height dropped by the bullet.

[tex]h = v_it+\frac{1}{2}gt^2[/tex]

where,  

h = height dropped = ?  

vi = initial vertical speed = 0 m/s

t = time interval = 0.75 s  

g = acceleration due to gravity = 9.81 m/s²

therefore,

[tex]h = (0\ m/s)(0.75\ s)+\frac{1}{2}(9.81\ m/s^2)(0.75\ s)^2[/tex]

h = 2.76 m

Learn more about equations of motion here:  

brainly.com/question/20594939?referrer=searchResults

The attached picture shows the equations of motion in the horizontal and vertical directions.

Answer:

Blood is moved away from the brain

Explanation:

Took the test