Answer:
Net displacement = 3.2 m
Explanation:
Given:
Mass of man = 80 kg
Mass of trolley = 320 kg
Speed = 1 m/s
Time = 4 sec
Computation:
Displacement by man = 1 m/s × 4 sec
Displacement by man = 4 m
Net ext force (trolley) = com at rest
So,
320 × X = 80(4 - X)
32X = 32 - 8X
40X = 32
X = 0.8 m
Net displacement = 4 m - 0.8 m
Net displacement = 3.2 m
Answer:
3) 3.2 m
Explanation:
The computation of the displacement relative to the ground after 4 seconds is shown below:
Let us assume the following
Starting x coordinate is at the origin
As it does not involve any external force so x coordinated would remain unchanged
Now the separation between the man and the trolley is
[tex]= 4 \times 1[/tex]
= 4 m
And, we assume the displacement of man be x
So, for trolley it would be (4 -x)
Now we develop the equation which is
[tex]80 \times x = 320 \times (4 - x)[/tex]
x = 16 - 4x
Therefore x = 3.2 m
Find the electric field a distance z above a circular ring carrying a constant line charge. For extra credit you may derive the electric field a distance z above a disk carrying a constant surface charge density. 3 Find the force between an electron and a proton in a typical hvdrogen atom.
Answer:
F = 8.23 × 10⁻⁸N
Explanation:
F= kq²/r²
k= 9×10⁹Nm²/C²
q= 1.6×10⁻¹⁹C
r= 5.29×10⁻¹¹m
F= 9×10⁹× (1.6×10⁻¹⁹)²/ (5.29×10⁻¹¹)²
F = 8.23 × 10⁻⁸N
At the equator, near the surface of the Earth, the magnetic field is approximately 50.0 μT northward, and the electric field is about 100 N/C downward in fair weather. Find the gravitational, electric, and magnetic forces on an electron in this environment, assuming that the electron has an instantaneous velocity of 8.50 ✕ 106 m/s directed to the east.
Answer:
A) F_g = 8.9278 × 10^(-30)
B) F_e = 1.6 × 10^(-17) N upwards
C) F_m = 6.8 × 10^(-17) N downwards
Explanation:
A) Formula for gravitational force is;
F_g = m_e × g
m_e is mass of electron = 9.11 x 10^(-31) kg
F_g = 9.11 x 10^(-31) × 9.8
F_g = 8.9278 × 10^(-30) N downwards
B) Formula for Electric force is;
F_e = qe
q is charge on electron = 1.6 × 10^(-19) C
E is electric field = 100 N/C
F_e = 1.6 × 10^(-19) × 100
F_e = 1.6 × 10^(-17) N upwards
C) Magnetic force is given by the formula;
F_m = qVB
q is charge on electron = 1.6 × 10^(-19) C
V is velocity given as 8.50 × 10^(6) m/s
B is magnetic field = 50.0 μT = 50 × 10^(-6) T
F_m = 1.6 × 10^(-19) × 8.50 × 10^(6) × 50 × 10^(-6)
F_m = 6.8 × 10^(-17) N downwards
A company plans to build a new mega store next to a wetland. Which of the following should it do to make sure it has scientific knowledge to inform its decision? Hire an environmental company to study the wetland and give recommendations of how to prevent flooding Ask a developer to build a new housing development next to the store site Have the city council review the architectural plans Conduct a survey to see how often people in the neighborhood shop
Answer:
The correct option is;
Hire an environmental company to study the wetland and give recommendations of how to prevent flooding
Explanation:
Due to the environmental importance of wetlands which are important plant and animal habitats and a source of filtration of reserve of water moving into other surface water bodies and underground aquifers, serving also as a buffer zone to prevent erosion and flooding during heavy rain storms, proper, detailed and well informed environmental considerations are required
As such an environmental consultant services is needed for site analysis, appraisal and recommendation will be required to fast track the process of obtaining a permit.
Answer:
A
Explanation:
Which force best represents Fg
Answer:
The weight of barbell acting on a weight lifter is 80N.
Explanation:
if the input force on a wheel and axle is 2 N and the output force is 20N what is its mechanical advantage
Mechanical Advantage is always (Output Force) / (Input Force) .
MA = (20 N) / (2 N)
MA = 10
Find average speed in
time interval t = 2 tot = 10s
Distance (m)
10+
8-
2
+ Time (s)
10
Answer: 3.75 m/s
Explanation:
Average speed is distance covered per time taken.
If the time interval is from t = 2 to t = 10s
Then, the time taken will be
t = 10 - 2 = 8s
Given that the distance covered are 10 + 8 - 2 + 10
Since distance is a scalar quantity, we will only consider the magnitude and not the direction.
Total distance = 10 + 8 + 2 + 10 = 30m
Average speed = total distance/time
Substitute total distance and time into the formula
Average speed = 30/8
Average speed = 3.75 m/s
Using the letters for the seven colours and starting with R (Red), what is the correct order for the colours in a rainbow? Your answer should be in the form RXXXXXX Which of these seven colours has the shortest wavelength?
Answer:
Red
Orange
Yellow
Green
Blue
Indigo
Violet
shortest wavelength: violet (380 nanometers)
¯\(°_o)/¯
Answer:
Red Orange Yellow Green Blue Indigo Violet
violet has the shortest wavelength
happy to help :)
HELP NEEDE ASAP!!!!!!!! How do you understand by the longitudinal wave? Describe the longitudinal nature of sound waves
Answer:
Sound as a Longitudinal Wave
For a sound wave traveling through air, the vibrations of the particles are best described as longitudinal. Longitudinal waves are waves in which the motion of the individual particles of the medium is in a direction that is parallel to the direction of energy transport.
Answer:
Hey!
Here is your answer!
Explanation:
LONGITUDINAL WAVES:
These are waves where the transferral of energy is PARALLEL to the direction it travels in...For Example...Sound Waves are Longitudinal as they move in a series of COMPRESSIONS and RAREFACTIONS (typical of all Longitudinal Waves)...
The compressions are known in diagrams to be an area of a dense collection of PARTICLES where the energy (or sound in this case) is being transferred in the same direction as the movement...
The rarefactions are shown as almost empty area of particles where the medium (the matter of which the wave travels in) is moving...
Hope this helps!
*here's a diagram*
A ball moving at a velocity of 10 meters/second has a momentum of 8.0 kilogram meters/second. What is its mass?
Answer:
0.8 kilogram
Explanation:
Mass:This can be defined as the quantity of matter a body contained. The S.I unit of mass if kg.
From the question,
M = mv................. Equation 1
Where M = momentum, m = mass. V = velocity
make m the subject of the equation
m = M/v.............. Equation 2
Given: M = 8.0 kilogram meters/second, v = 10 meters/second
Substitute these values into equation 2
m = 8.0/10
m = 0.8 kilogram
what is called gratational force
Answer:
Gravitational force can be seen as the pull that the earth has on an piece of matter. Everything on earth has a force acting on it which is gravity. It tries to pull two object closer to each other but never apart. The numerical value for gravitational force is 9.8 m/s^2 for free falling objects
A body oscillates with 25hz what is its time period
Answer:
4 seconds
Explanation:
The frequency of a body is the number of oscillations in one second. It is the number of cycles per unit time. The S.I unit of frequency is the Hertz (Hz).
The period of a body is the time taken to complete one oscillation. The period is inversely proportional to the frequency of the body. It is the reciprocal of frequency and the S.I unit is second (s).
A body oscillates with 25hz. Therefore the frequency (f) = 25 Hz.
The period (T) is given as:
[tex]Period (T)=\frac{1}{frequency(f)} \\T=\frac{1}{f} =\frac{1}{0.25}=4\\T=4\ seconds[/tex]
the weight of a body will be zero during free fall. Why?
Answer:
The apparent weight of a freely falling body is zero. When a body falls freely, it is falling with an acceleration =g. Thus the entire gravitational force acting on it is utilized in accelerating it and hence its weight is not felt.
I NEED HELP PLEASE, THANKS! :)
Three 15.0-W resistors are connected in parallel across a 30.0-V battery. Please show all work.
a) Find the current through each branch of the circuit.
b) Find the equivalent resistance of the circuit.
c) Find the current through the battery.
Answer:
Take a look at the attachment below.
Explanation:
Current for each branch of the circuit is 2A and equivalent resistance of the circuit will be 5 ohms. The current through the battery is 6A.
What is Current?An electric current is defined as a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space, which is described as the flow of electric charge through a surface or in a control volume.
Current is expressed as:
I=V/R
Where, I is the current
V is the voltage
R is the resistance
For above given information,
Since all resistors have the same resistance, it would be fine to find only 1 branch as the current would be the same for all branches.
[tex]I=V/R_1[/tex]
I= 30/15= 2 A
Equivalent resistance for parallel circuits is the sum of reciprocals of each resistor.
[tex]1/R= 1/R_1+ 1/R_2+ 1/R_3[/tex]
1/R= 1/15+ 1/15 + 1/15
1/R=3/15
R = 15/3= 5 ohms
I = V/R
Where I is current, V is voltage and R is the equivalent resistance
=> I = 30/5
=> I = 6 A
Thus, current for each branch of the circuit is 2A and equivalent resistance of the circuit will be 5 ohms. The current through the battery is 6A.
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a boy runs from his house to school at speed 5m/s on a straight road and returns with speed of 10m/s.The distance between the house and school is 100m. Find his average velocity.... with explaination please
Explanation:
time spent to run from house to school=100/5=20s
time spent to return from school=100/10=10s
average velocity=200m/(10+20)
=6.66m/sI NEED HELP PLEASE, THANKS! :)
The electric field around a positive charge is shown in the diagram. Describe the nature of these lines.
Answer:
They move outwards.
They don't intersect each other at any point.
They show the electric field.
Explanation:
Answer:
Please read the answer below
Explanation:
the nature of these lines refers to the fact that positive charges generate field lines that are directed out of the positive charges, and in turn are directed towards some negative charge present somewhere in the universe.
By consensus, the electric field lines leave the positive charges and enter the negative charges. That is the reason why in a scheme like the shown in the image, is considered implicitly the existence of a negative charge, in some place of the universe.
Un proyectil es lanzado horizontalmente desde una altura de 12 metro con una velocidad de 80 m/sg. a.Calcular el tiempo de vuelo b. Su alcance horizontal y velocidad de impacto contra el suelo.
Answer:
t= 1,56 s , x= 124,8 m , v = (80 i^ - 15,288 j ) m/s
Explanation:
Este es un ejercicio de lanzamiento proyectiles, comencemos por encontrar el tiempo que tarda en llegar al piso
y = y₀ + [tex]v_{oy}[/tex] t – ½ g t²
en este caso la altura inicial es y₀= 12 m y llega a y=0 , como es lanzado horizontalmente la velocidad vertical es cero (v_{oy}=0)
0 = y₀ – ½ g t²
t= √ (2 y₀/g)
calculemos
t= √ ( 2 12 / 9,8)
t= 1,56 s
El alcance del proyectil es la distancia horizontal recorrida
x = v₀ₓ t
x = 80 1,56
x= 124,8 m
La velocidad de impacto cuando toca el suelo
vx = v₀ₓ = 80 ms
[tex]v_{y}[/tex] = v_{oy} – gt
v_{y} = - 9,8 1,56
v_{y} = - 15,288 m/s
la velocidad es
v = (80 i^ - 15,288 j ) m/s
Traducttion
This is a projectile launching exercise, let's start by finding the time it takes to reach the ground
y = y₀ + v_{oy} t - ½ g t²
in this case the initial height is i = 12 m and it reaches y = 0, as it is thrown horizontally the vertical speed is zero ([tex]v_{oy}[/tex] = 0)
0 =y₀I - ½ g t²
t = √ (2y₀ / g)
let's calculate
t = √ (2 12 / 9.8)
t = 1.56 s
Projectile range is the horizontal distance traveled
x = v₀ₓ t
x = 80 1.56
x = 124.8 m
Impact speed when it hits the ground
vₓ = v₀ₓ = 80 ms
v_{y} = v_{oy} - gt
v_{y} = - 9.8 1.56
v_{y} = - 15,288 m / s
the speed is
v = (80 i ^ - 15,288 j) m / s
write a story that ends with poor no friend
Answer:
Writing of a story that ends with the character becoming poor with no friends.
Explanation:
There was a young girl who believed that all things revolve around her. She had the money, the power, the family, and the beauty to ensure she was the center of attention. She would always be the main focus, everywhere she goes.
But there came a time when she had a major misfortune. Her family had come upon unfortunate times. They are going to lose their money and may even be jailed for embezzlement. It was true that she had no idea what her parents had done but she was also so familiar with the 'princess' lifestyle that she did not know how to downgrade her lifestyle. And so, when this misfortune happened, she was unsure how to react. She also assumed that her friends will be there for her. Little did she know everyone was just after her wealth and influence and had nothing to do with genuine friendship.
In a few months, their family position moved from top to bottom, which everyone found hard to accept. She had to maintain her status while at the same time try to live up with that without losing her circle. But as rumors spread fast and she wasn't able to spend the way she would normally send, she eventually experienced a dwindled friend circle. And in about a year, she had lost all of her friends, couldn't even convince someone to stay with her faithfully and worse of all, she was also poor, the very status she had degradingly taunted other people with.
A small block slides down an incline with a constant acceleration. The block is released from rest at the top of the incline. After it travels 5 m to the bottom its speed is 5 m/s. What is the speed, in m/s, of the block when it had traveled only 2.1 m from the top
Answer:
v = 3.24 m/s
Explanation:
Since we don't have time, we can use the formula;
(Final distance - initial distance)/time = (initial velocity + final velocity)/2
Thus;
(x_f - x_i)/t = ½(v_xi + v_xf)
We are given;
x_i = 0 m
x_f = 5 m
v_xi = 0 m/s
v_xf = 5 m/s
Thus, plugging in the relevant values;
(5 - 0)/t = (0 + 5)/2
5/t = 5/2
t = 2 s
Using Newton's first law of motion, we can find the acceleration.
v = u + at
Applying to this question;
5 = 0 + a(2)
5 = 2a
a = 5/2
a = 2.5 m/s²
To get the speed, in m/s, of the block when it had traveled only 2.1 m from the top, we will use the formula;
v² = u² + 2as
v² = 0² + 2(2.5 × 2.1)
v² = 10.5
v = √10.5
v = 3.24 m/s
Modifiable strength improvement factors include all of the following except...??
Answer:
Muscle size and training specifiicty
Explanation:
It depends on all other factors such as anatomy and psychology, muscle fiber recruitment, motor pattern development and muscle memory but to increase modifiable strength, size plays no big role.
A 1500kg car accelerates from 50km/h to 75km/h. How much work was done?
Answer:
Work done, W = 181238.4 J
Explanation:
We have,
Mass of a car, m = 1500 kg
Initial speed, u = 50 km/h = 13.88 m/s
Final speed, v = 75 km/h = 20.84 m/s
Let W is the work done. It is equal to the change in kinetic energy of the car. So,
[tex]W=\dfrac{1}{2}m(v^2-u^2)\\\\W=\dfrac{1}{2}\times 1500\times ((20.84)^2-(13.88)^2)\\\\W=181238.4\ J[/tex]
So, 181238.4 J of work was done by the car.
A broom with a long handle balances at its centre of gravity as shown in the figure. If you cut the broom into two parts through the centre of gravity and then weigh each part, which part will weigh more? a) The part with the broom will weigh more. b) The part without the broom will weigh more c) Both the parts will weigh the same d) It would depend on the weight of the broom
Answer:
c) Both the parts will weigh the same
Explanation:
center of gravity is based on weight so if you cut down the center of gravity you would have 2 equal parts
(might be D if it is cutting against the center of gravity)
A 17-tooth spur pinion has a diametral pitch of 8 teeth/in, runs at 1016 rev/min, and drives a gear at a speed of 508 rev/min. Find the number of teeth on the gear and the theoretical center-to-center distance.
Explain the concept of "charge" and how it relates to electricity?
Answer:
An Electric "charge" is a property of matter that causes a force to repel or attract when placed into a magnetic field. These charges can be replicated into positive and negative electrons when made from a chemical reaction.
Answer:
an electri
Explanation:
In which direction of the wave motion do longitudinal waves transfer energy?
A-perpendicular
B- parallel
C- close
D-equal
Answer:
B, Parallel.
Explanation:
Mark as brainliest pls!
The wave motion does longitudinal waves transfer energy in the direction Parallel to the wave motion. Hence, option B is correct.
What is a Wave?Waves are disturbances that move regularly and orderly from one location to another. Although sound, lighting, and the movement of elementary particles all have wave-like characteristics, surface waves that move on water are the most well-known.
The disturbance periodically oscillates with a set frequency and wavelength in the simplest waves (see periodic motion). In contrast to electromagnetic waves, which do not require a medium to travel and may move through a vacuum, mechanical waves, like sound, need a medium to go through. A medium's characteristics determine how a wave will travel across it. Seismic wave is also seen.
Therefore, option B is correct.
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The cartoon of the roadrunner and the coyote usually has rockets going at around 8 kilometers per minute. How much is this in miles per hour? (1m = .00062 miles)If we have a terrain with a square house in the middle, the walls of the square house are 50.0 yards long and has 10 yards high ceilings. What is the volume of the interior of the house in cubic meters and cubic centimeters? (1 yard = 3 feet, 1 meter = 3.28 foot)The acceleration of an object is given by 314,000 Hectometers per hour squared. Convert the units to Meter per second square and miles per second square.
Answer:
1 feet
Explanation:
1 feet = 1 feet so its one feet
At one point in the rescue operation, breakdown vehicle A is exerting a force of 4000 N and breakdown vehicle B is exerting a force of 2000 N.(i) Using a scale of 1 cm = 500 N, make a scale drawing to show the resultant force on the truck. (ii) Use your diagram to find the magnitude and direction of the resultant force on the truck.
Answer:
1.) Magnitude = 5596 N
2.) Direction = 60 degrees
Explanation: You are given that the breakdown vehicle A is exerting a force of 4000 N at angle 45 degree to the vertical and breakdown vehicle B is exerting a force of 2000 N
Let us resolve the two forces into X and Y component
Sum of the forces in the X - component will be 4000 × cos 45 = 2828.43 N
Sum of the forces in the Y - component will be 2000 + ( 4000 × sin 45 )
= 2000 + 2828.43
= 4828.43 N
The resultant force R will be
R = sqrt ( X^2 + Y^2 )
Substitutes the forces at X component and Y component into the formula
R = sqrt ( 2828.43^2 + 4828.43^2 )
R = sqrt ( 31313752.53 )
R = 5595.87 N
The direction will be
Tan Ø = Y/X
Substitute Y and X into the formula
Tan Ø = 4828.43 / 2828.43
Tan Ø = 1.707106
Ø = tan^-1( 1.707106 )
Ø = 59.64 degree
Therefore, approximately, the magnitude and direction of the resultant force on the truck are 5596 N and 60 degree respectively.
Does the earths magnetic field change with time?
Answer:
As per the fossil fuel records, magnetic field reversal does not impact living beings. It will take almost a century for the poles to complete the shift. Meanwhile, the earth is left with almost zero magnetic field.
An airplane starts at rest and accelerates down the runway for 25 s. At the end of the runway, its final velocity is 75 m/s east. What is its acceleration?
Answer
3m/s²
Explanation
u=o
t=25s
v=75m/s
from Newton's first law of motion,
v=u+at
75=0+a(25)
75=25a
a= 75/25
a=3m/s²
The acceleration of the airplane is 3m/s².
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given parameters:
Initial velocity of the airplane: u=o.
Time taken: t=25s.
Final velocity of the airplane: v=75m/s.
We have to find acceleration of the plane: a = ?
We know that for accelerating motion of the air plane; final velocity can be expressed as:
v=u+at
⇒ 75=0+a(25)
⇒ 75=25a
⇒ a= 75/25
⇒ a= 3m/s².
hence, acceleration of the airplane is 3m/s².
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The kicker now kicks the ball with the same speed as in the number of 4,but at 60.0°from the horizontal or 30.0° from the vertical. a.What is the time the ball is in the air? b.What is the distance the balls travel before it hits the ground? c.What is the maximum height?
Answer:
Explanation:
1) The time of flight equation for projectile motion can be used here to find total time in air.
t = 2vsin∅ / g
where v is speed, Ф is launch angle
t = 2×4×sin 60 / 9.8
t = 0.71 seconds
2) Distance where it hit the ground is called as range and has the following standard equation
D = v² sin2Ф/g
D = 4²sin 2×60 / 9.8
D = 1.41m
3) Maximum elevation is maximum time reached
h = v² sin²Ф / 2g
h = 4²sin² 60 / 2*9.8
h = 0.61 m
pls help, me, i nees to submit now
Answer:
12m
Explanation:
To obtain the answer to the question given, we must observe the characteristics of image formed by a plane mirror.
The image formed by a plane mirror have the following characteristics:
1. Laterally inverted.
2. Same distance as the object from the mirror.
3. Same height as the object.
4. Virtual.
With the above information, we can calculate the distance between the boy and his image as follow:
Initially:
Object distance (u) = 4m
Image distance (v) = 4m
The boy moved 2m away, therefore:
Object distance (u) = 2 + 4 = 6m
Image distanc(v) = 2 + 4 = 6m
The distance between the boy and his image will be the sum of his distance (u) and image distance (v) i.e (u + v)
The distance between the boy and his image = 6 + 6 = 12m
Therefore, the distance between the boy and his image is 12m.