Answer:
(a) 3.22 m
(b) The vertical velocity, [tex]v_y[/tex], at maximum height is 0 m/s, the horizontal velocity, vₓ, is 12.72 m/s
(c) The acceleration at maximum height = g = 9.81 m/s²
(d) The time it takes for the paper to reach the balcony is 1.212 seconds
(e) The horizontal range, of the paper is 15.42 m.
Explanation:
(a) Given that we re given a projectile motion, we have the following governing equations;
y = y₀ + v₀·sin(θ₀)·t - 0.5×g·t²
[tex]v_y[/tex] = v₀·sin(θ₀) - g·t
Where:
y = Height of the paper
y₀ = Initial height of the paper = Ground level = 0
v₀ = Inititial velocity of the paper = 15.0 m/s
θ₀ = Angle in which the paper is thrown = 32° above the horizontal
g = Acceleration due to gravity = 9.81 m/s²
t = Time taken to reach the height h
[tex]v_y[/tex] = Vertical velocity of the paper
At maximum height, [tex]v_y[/tex] = 0, therefore;
[tex]v_y[/tex] = v₀·sin(θ₀)·t - g·t = 0
v₀·sin(θ₀) = g·t
t = v₀·sin(θ₀)/g = 15×sin(32°)/9.81 = 0.81 seconds
y = y₀ + v₀·sin(θ₀)·t - 0.5×g·t² = 0 + 15×sin(32°)×0.81-0.5×9.81×0.81² = 3.22 m
(b) The vertical velocity, [tex]v_y[/tex], at maximum height = 0 m/s, the horizontal velocity, vₓ, = 15×cos(32°) = 12.72 m/s
(c) The acceleration at maximum height = g = 9.81 m/s²
(d) The time it takes to maximum height = 0.81 seconds
The time the paper will take to fall to 1.25 m above the ground, which is 3.22 - 1.25 = 1.97 meters below maximum height is therefore given as follows;
y = y₀ + v₀·sin(θ₀)·t - 0.5×g·t²
Where:
v₀ = 0 m/s at maximum height
y = -1.97 m downward motion
y₀ = 0 starting from maximum height downwards
1.97 = 0 + 0·sin(θ₀)·t - 0.5×9.81×t²
-1.97 = - 0.5×9.81×t²
t = (-1.97)/(-0.5*9.81) = 0.402 seconds
The time the paper will take to fall to 1.25 m above the ground = 0.81+0.402 = 1.212 seconds
Therefore, the time it takes for the paper to reach the balcony = 1.212 seconds
(e) The horizontal range, x, is given by the relation;
x = x₀ + v₀·cos(θ₀)·[tex]t_{tot}[/tex]
x₀ = Starting point of throwing the paper = 0
[tex]t_{tot}[/tex] = Total time of flight of the paper
∴ x = x₀ + v₀·cos(θ₀)·[tex]t_{tot}[/tex] = 0 + 15×cos(32°)×1.212 = 15.42 m
The horizontal range, of the paper = 15.42 m.
What activity level should participants be in when exercising in their target heart rate zone
Answer:
La frecuencia cardíaca objetivo durante las actividades de intensidad moderada es aproximadamente del 50 al 70% de la frecuencia cardíaca máxima, mientras que durante la actividad física intensa es de, aproximadamente, entre el 70 y el 85% del valor máximo.
Which property of argon is used in light bulbs?
Answer:
Argon belongs to zero group, i.e., is a noble gas and thus is inert. Hence it will not react with the hot filaments. Hence it is used in fluorescent and incandescent light bulbs to stop the oxygen in the light bulbs from corroding the hot tungsten filament.
Explanation:
who performed the coin and feather experiment?
Answer: Robert Boyle
Explanation:
Galileo's experiment and coin and feather experiment performed by Robert Boyle.
Answer:
Robert Boyle
Explanation:
Robert Boyle performed the experiment of Galileo
Please give me brainliest please
What does Force Components mean?
What are the four main reasons as to why, despite having an abundance of minerals and natural resources, Pakistan has been unable to realize its potential and has not been able to succeed like other countries having similar resources?
please answer me I am so much worry I will mark you as brainy and follow you also
Answer:
GDP growth rate is low
Political instability
Lack of technical skills due to low literacy rate
Pressure from neighboring countries
Explanation:
Gross Domestic Product growth rate of Pakistan is much lower than many developed countries. The GDP growth rate for Pakistan is nearly 5% which is not even stable and it variate from plans. Due to which Pakistan is unable to use its available resources to the fullest. Also one of major issue is political instability in the country. After the loss of great leader Quaid e Azam Pakistan has not faced any loyal leader till date.
Noise pollution, health issues, lack of provision of basic necessities to many are few other factors which give rise to poor law and order situation in the country. Lack of availability of heavy machinery and poor infrastructure has contributed to the country decline. There is abundance of natural resources in the country but due to these issues the country is unable to deal with the challenges.
The pressures from neighboring countries have made the situation even worst. The heavy loan burden is restricting the country from development. The covenants imposed by the lenders have limited the country's ability to use its natural resources and become stable.
Transformer is being designed to have 600v output with a 120volt input. If there are to be 800 turns of wire in the input coil. How many turns must there be in the output?
A. 40
B. 400
C. 4000
D. 40000
Hi there "Princess "
Here is ur answer
2. A wave on a rope has a wavelength of 2.0 m and a frequency of 2.0 Hz. What is the speed of the
wave?
step# 1
step#2
step#3
Answer:
4 m/s or 4 meters per second.
Explanation:
In order to calculate the speed of wave, you multiply the wavelength in meters and the frequency of the Wave in Hertz. 2 times 2 equals 4. The wave speed is always in m/s considering that the wavelength is also in meters.
I NEED HELP PLEASE, THANKS! :)
Three positive charges A, B, and C, and a negative charge D are placed in a line as shown in the diagram. All four charges are of equal magnitude. The distances between A and B, B and C, and C and D are equal.
a. Which charge experiences the greatest net force? Which charge experiences the smallest net force?
b. Find the ratio of the greatest to the smallest net force.
Answer:
charge C = greatest net force
charge B = the smallest net force
ratio = 9 : 1
Explanation:
we know that in Electrostatic Forces, when 2 charges are at same sign then they repel each other and if they are different signed charges then they attract each other
so as per Coulomb's formula of Electrostatic Forces
F = [tex]\frac{k\ q_1\ q_2}{r^2}[/tex] .....................1
and here k is 9 × [tex]10^9[/tex] N.m²/c² and we consider each charge at distance d
so two charge force at A to B is
F1 = [tex]\frac{k\ q^2}{d^2}[/tex]
and force between charges at A to C, at 2d distance
F1 = [tex]\frac{k\ q^2}{(2d)^2}[/tex] = [tex]\frac{k\ q^2}{4d^2}[/tex]
force between charges at A to D, 3d distance
F1 = [tex]\frac{k\ q^2}{(3d)^2}[/tex] = [tex]\frac{k\ q^2}{9d^2}[/tex]
so
Charge a It receives force to the left from b and c and to the right from d
so at a will be
F(a) = -F1 - F2 + F3 ....................2
put here value
F(a) = [tex]-\frac{k\ Q^2}{d^2}-\frac{k\ Q^2}{4d^2}+\frac{k\ Q^2}{9d^2}[/tex]
solve it
F(a) = [tex]\frac{k\ q^2}{d^2}(-1-\frac{1}{4}+\frac{1}{9})[/tex]
F(a) = [tex]-\frac{41}{36}\ F1[/tex] = 1.13 F1
and
Charge b It receives force to the right from a and d and to the left from c
F(b) = F1 - F1 + F2 ....................3
F(b) = [tex]\frac{k\ q^2}{d^2}-\frac{k\ q^2}{d^2}+\frac{k\ q^2}{4d^2}[/tex]
F(b) = [tex]\frac{1}{4} \ F1[/tex] = 0.25 F1
and
Charge c It receives forces to the right from all charges.
F(c) = F2 + F 1 + F 1 ....................4
F(c) = [tex]\frac{k\ q^2}{4d^2}+\frac{k\ q^2}{d^2}+\frac{k\ q^2}{d^2}[/tex]
F(c) = [tex]\frac{9}{4} \ F1[/tex] = 2.25 F1
and
Charge d It receives forces to the left from all charges
F(d) = - F3 - F2 -F 1 ....................5
F(d) = [tex]-\frac{k\ q^2}{9d^2}-\frac{k\ q^2}{4d^2}-\frac{k\ q^2}{d^2}[/tex]
so
F(d) = [tex]-\frac{49}{36} \ F1[/tex] = 1.36 F1
and
now we get here ratio of the greatest to the smallest net force that is
ratio = [tex]\frac{2.25}{0.25}[/tex]
ratio = 9 : 1
Which of the following represents the equation of motion of a steel ball thrown into a viscous liquid when it is moving with an acceleration a ?(A) W-V-U=ma (B)W-U=ma-V (C)W-U-V=0 (D)U-V=W
Answer: A
Explanation: When a steel ball is thrown into a viscous liquid, three forces will act on the ball.
1.) The viscous drag force V which is acting upward
2.) The buoyant force U which is acting upward and
3.) The weight of the ball W. Which is acting downward.
When it is moving with an acceleration a, the weight W will be greater than U and V
Since Force = ma.
The resultant vector force will be
W - V - U = ma
A stone is dropped from a tower of height 3600cm.Find the velocity by which it strike the ground.Also,find the time taken to reach the ground.
Answer:
Explanation:
Here h=36m, a=g=10m/s, u=0
Use s=ut+(1/2)at^2
36=0*t+(10t^2)/2
time=2.68 sec
As from the formula of final velovity, v=(2gh)^1/2
v=(2*10*36)^1/2
v=(720)^1/2
v=26.83………This is the final velocity
Answer:
Explanation:
s = vit + 1/2 gt*2
36 = 0 + 1/2 x 9.8 x t*2
t*2 = 7.34
t = 2.7sec
now,
2gs = vf*2 - vi*2
2 x 9.8 x 36 = vf*2 - 0
vf*2 = 705.6
vf = 26.5m/s
Indicar verdadero (V) o falso (F) con respecto al movimiento parabólico : la componente horizontal de la velocidad permanece constante. ( ) la componente vertical de la velocidad puede ser nula en un instante. ( ) La velocidad en todo momento es tangente a la trayectoria. ( )
Answer:
a) true, b) true, c) false
Explanation:
Este ejercicio de cinemática se pide revisar varias afirmaciones
a) Cierta. La velocidad horizontales consta
b) cierto. La velocidad vertical disminuye hasta llegar a cero en su altura máxima, la aceleración es negativa
C) False. Si la velocidad es tangente a la trayectoria el movimiento debe ser circular, pero este movimiento es parabólico
Traduction
This exercise in kinematics asks you to review several statements
a) true. The horizontal speed consists
b) true. The vertical speed decreases until it reaches zero at its maximum height, the acceleration is negative
C) False. If the speed is tangent to the path, the movement must be circular, but this movement is parabolic.
With respect to parabolic motion:
the horizontal component of the velocity remains constant is Truethe vertical component of the velocity can be null in an instant is True since the velocity changes with time due to gravitation acceleration. At the highest point of the projectile trajectory, the vertical velocity becomes zero.Speed at all times is tangent to the trajectory is True. The parabolic path of the trajectory is because of the changing vertical velocity.Con respecto al movimiento parabólico:
La componente horizontal de la velocidad permanece constante es True la componente vertical de la velocidad puede ser nula en un instante es True ya que la componente vertical de la velocidad cambia con el tiempo debido a la aceleración de la gravitación. En el punto más alto de la trayectoria del proyectil, la velocidad vertical se vuelve cero. La velocidad en todo momento es tangente a la trayectoria es Verdadera. La trayectoria parabólica de la trayectoria se debe a la velocidad vertical cambiante.Learn more about Parabolic motion:
https://brainly.com/question/4450437
To which category does galaxy #4 belong? Why does it belong in this category?
Answer:
The Galaxy IV satellite belongs to the HS-601 model category. It was engineered by Hughes Space and Communications Company (HSC)
Explanation:
The Galaxy IV belong in this category because it is a communications satellite. It was built for direct television broadcasting, for private business networks and mobile communications.
Cheers!
Why do planents revolve around the sun ?
Answer:
Sun's Gravitational Pull
Explanation:
Planets revolve around the sun because of the Sun's gravitational pull pulling all the planets to revolve around it.
Consider a single slit that produces a first-order minimum at 16.5° when illuminated with monochromatic light. show answer No Attempt 50% Part (a) At what angle, in degrees, is the second-order minimum?
Answer:
[tex]\theta_2 = 34.61^0[/tex]
Explanation:
Path difference for the destructive interference of a single slit:
[tex]D sin \theta = n \lambda[/tex]
For the first - order minimum, n = 1, and [tex]\theta = \theta_1[/tex]
[tex]D sin \theta_1 = \lambda[/tex].........(1)
For the second - order minimum, n = 2, and [tex]\theta = \theta_2[/tex]
[tex]D sin \theta_2 = 2 \lambda[/tex].........(2)
Dividing equation (2) by equation (1):
[tex]\frac{D sin \theta_2}{Dsin \theta_1} = \frac{2 \lambda}{\lambda} \\\frac{ sin \theta_2}{sin \theta_1} = 2 \\\theta_1 = 16.5^0\\\frac{ sin \theta_2}{sin 16.5} = 2\\sin \theta_2 = 2 sin 16.5\\sin \theta_2 = 0.568\\\theta_2 = sin^{-1} 0.568\\\theta_2 = 34.61^0[/tex]
A 50.0-g hard-boiled egg moves on the end of a spring with force constant k = 25.0 N/m. Its initial displacement is 0.300 m. A damping force Fx=−bvxF
x
​
=−bv
x
​
acts on the egg, and the amplitude of the motion decreases to 0.100 m in 5.00 s. Calculate the magnitude of the damping constant b.
Answer:
The correct answer will be "0.022 kg/s".
Explanation:
The given values are:
Initial amplitude,
A₁ = 0.3 m
Final amplitude,
A₂ = 0.1 m
Mass of a egg,
m = 50.0 g i.e., 0.050 kg
Time,
t = 5 sec
As we know,
⇒ [tex]A_{2}=A_{1}e^{(-\frac{b}{2m})t}[/tex]
So that, the damping constant will be:
⇒ [tex]b=\frac{2m}{t} log \frac{A_{1}}{A_{2}}[/tex]
On putting the estimated values, we get
⇒ [tex]b=\frac{2\times 0.050}{5}log \frac{0.3}{0.1}[/tex]
⇒ [tex]=\frac{0.1}{5} log \frac{0.3}{0.1}[/tex]
⇒ [tex]=0.02 \ log 3[/tex]
⇒ [tex]=0.0219 \ kg/sec \ or \ 0.022 \ kg/s[/tex]
A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west corner, she measures the first side to be 80.0m long and the next to be 105m. These sides are represented as displacement vectors A and B in the above. She then correctly calculates the length and orientation of the third side, C. What is her result?
Answer:
C = 93.4m
Ф₃= 54°
Explanation:
if Ф₁ =21° and Ф₃ = 11°
The new landowner has a triangular piece of flat land, and she wishes to fence. The length and orientation of the third side are 92.3 meters, with an orientation of 53.7°.
What is the Vector law of Algebra?Numerous algebraic operations involving vectors are carried out using vector algebra. The Latin word for the carrier is a vector. Points A and B are transported by vectors. The magnitude of the vector is the length of the line connecting the two points A and B, and the vector's direction is the movement from point A to point B. Other names for vectors are Euclidean vectors and spatial vectors. In many different domains, including mathematics, physics, engineering, and others, vectors are used.
Now, according to the question :
Let the given vector is R, and it makes an angle of θ then its components will be :
[tex]R_x[/tex] = R cos θ
[tex]R_y[/tex] = R sin θ
As we know that A + B + C =0
A is given as 80 m with direction 21° below the x-axis and,
B is 105 meters, with a direction of 11° counterclockwise from the positive y-axis.
[tex]A_x\\[/tex] = 80 cos 21°
[tex]A_y[/tex] = -80 sin 21°
similarly,
[tex]B_x\\[/tex] = 105 cos 101°
[tex]B_y[/tex] = -105 sin 101°
C = -(A+B)
C = -( 80 cos 21° + 105 cos 101°) i - (-80 sin 21°+105 sin 101°) j
C = 54.65 i -74.40 j
So the magnitude vector of C will be :
|C| = [tex]\sqrt{Cx^2+Cy^2}[/tex]
|C| = 92.3 m
Now direction will be :
θ = arc tan (Cy/Cx)
θ = 53.7°
Hence, the orientation of the third side will be 53.7° and the length will be 92.3 meters.
To get more information about Vector law of algebra :
https://brainly.com/question/28168976
#SPJ2
Si observamos un incremento de temperatura en un termómetro de 24 oC, ¿a cuántos grados Fahrenheit corresponde dicho incremento? ¿Y si el incremento de temperatura fuese de 24 K?
Responder:
24 ° C = 75.2 ° F 24K = -416.47 ° FExplicación:
La fórmula se utiliza para convertir grados Celsius (° C) en grados Fahrenheit (° F).
x ° C = (y ° F - 32) × 5/9.
Convertir 24 ° C a Fahrenheit
24 = (y ° F - 32) × 5/9.
24 * 9 = 5 (y ° F-32)
216 = 5 años ° F-160
5 ° F = 216 + 160
5 ° F = 376
y ° F = 376/5
y ° F = 75.2
24 ° C = 75.2 ° F
Para convertir Kelvin a Fahrenheit, usaremos la expresión;
(K - 273.15) × 9/5 + 32
Dado K = 24kelvin
24K a ° F = (24− 273.15) × 9/5 + 32
= -249.15 (9/5) + 32
= -448.47 + 32
= -416.47 ° F
24K = = -416.47 ° F
An 80-kg hiker climbs to the top of a tall hill and builds up 470,000 J of gravitational potential energy. How high did the hiker climb? meters
Answer:
599 meters is the answer rounded to the nearest whole number and 599.489795918 meters is the complete answer
Explanation:
to find gravitational potential energy you multiply mass x acceleration due to gravity (always 9.8 on earth) x hight
since we know the gravitational potential energy and want to find out the hight, we take the gravitational potential energy (470,000) and divide it by the product of acceleration due to gravity x mass (9.8 x 80)
so how high the hiker climbed is equal to 470,000 divided by (9.8 x 80)
hight = 470,000 / (9.8 x 80)
hight = 470,000 / 784
hight = 599.489795918 meters
as for rounding, if the decimal is less than 5 you round "down" and keep the current whole number, if the decimal is 5 or greater you round "up" and add 1 to get your new number
Answer:
actually its 600
Explanation:
on edge2020
an 85 kg construction worker has 37,485 j of gravitational potential energy to the nearest whole number the worker is blank m above the ground. answer the blank = )
Answer:
45 m above the ground
Explanation:
The formula for height is height = PEg/ mg (gravitational potential energy/ mass times g).
37,485/ (85 kg*9.8m/s^2)
37,485/ 833 = 45 m above the ground
The height of construction worker above the ground is of 45 m.
Given data:
The mass of construction worker is, m = 85 kg.
The gravitational potential energy stored in worker is, U = 37,485 J.
We know that the energy of any object by virtue of its position is known as gravitational potential energy. So, the expression for the gravitational potential energy of construction worker is,
U = mgh
here,
g is the gravitational acceleration and h is the height above the ground.
Solving as,
37485 = 85 × 9.8 × h
h = 45 m
Thus, we can conclude that the height of construction worker above the ground is of 45 m.
Learn more about the gravitational potential energy here:
https://brainly.com/question/23134321
Garret, Melody and Tony start their school day with brand new pencils. By the end of the day, they want to see who used his or her pencil the most. They decide that the shortest pencil will be the most used, and the longest pencil would be the least used. How should the students determine which pencil was used the most?
THEY SHOULD COMPARE THE LENGTH OF PENCILS WITH EACH OTHER .
HOPE IT HELPS.PLEASE MARK AS BRAINLIEST AND FOLLOW ME ......hi please I need help with my mMATHEMATICS ASSIGNMENTS
1. Find the value of x and y in the following ratios
a. 3:5 = x:20
b.11:35 = 66: y
2. In a village of 375 children under the age of 10. If 68% of them have had malaria, how many children have escaped the disease?
3. Five buses need 3 trips to take 450 students to the stadium to watch a concert. How many trips would the 3 buses need to take the same number of students?
4. The ratio of girls to boys in a boarding school is 2:7. If there are 1,251 students in the school:
a. How many of the students are girls?
b. What percentage of the students are boys?
5. An old carpet which now costs #1 000, was sold for #1 400 when new. Calculate the percentage decrease.
6. The cost of petrol is #65 per litre. What is the percentage increase if it is sold for #105 per litre by a dealer during fuel scarcity?
Answer:
1
(a) Ans we are applying the formula
product of means = product of extremes
So according to the formula 5x = 60
x= 60/5
x = 12
(b) Ans we are applying the formula
product of means = product of extremes
2310=11 y
y = 2310/11
y = 210
Explanation:
(a)In product of means we multiply inner values with each other like in this case for solution of a part 5 and x are inner values and in product of extremes we multiply outer value like in case of solution for a 3 and 20 are outer values.
What is a small sacle industry?
What’s the meaning of Obesity
Answer:
over weight
Explanation:
being over weight
hope this helps
a rollercoaster car is moving 19.8 m/s on flat ground when it’s hits the brakes. it decelerates at -3.77 m/s^2 over the next 45.8 m. how much time does it take?
Answer:
3.44 s
Explanation:
Given:
Δx = 45.8 m
v₀ = 19.8 m/s
a = -3.77 m/s²
Find: t
Δx = v₀ t + ½ at²
45.8 = 19.8 t + ½ (-3.77) t²
45.8 = 19.8 t − 1.885 t²
1.885 t² − 19.8 t + 45.8 = 0
t = [ -b ± √(b² − 4ac) ] / 2a
t = [ 19.8 ± √((-19.8)² − 4 (1.885) (45.8)) ] / 2(1.885)
t = [ 19.8 ± √(392.04 − 345.332) ] / 3.77
t = 3.44 or 7.06
The first time, 3.44 seconds, is correct.
The second time is the time it would take the car to return to 45.8 m if it continued decelerating after stopping.
Evidence supports the idea that increases in carbon dioxide and methane in Earth's atmosphere are major contributors to global warming. This is based primarily on the fact that carbon dioxide and methane are excellent absorbers of Jun 12 #11 (1) gamma rays (3) visible light (2) microwaves (4) infrared radiation
Answer: 4. Infrared radiation
Explanation: Both carbon dioxide and methane are excellent absorbers of heat. The heat energy causes the molecule of carbon dioxide and methane to vibrate. As a result of this, the molecules gives up the extra energy by emitting infrared photon.
Therefore, the Evidence that supports the idea that increases in carbon dioxide and methane in Earth's atmosphere are major contributors to global warming is primarily based on the fact that carbon dioxide and methane are excellent absorbers of infrared radiation
I NEED HELP PLEASE, THANKS! Describe each Newton Law. :)
Explanation:
1st- states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction.
2nd- states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it. (most important law)
3rd- states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. (law of action/reaction)
A train starts from rest .It moves through 1km in 100s with uniform accelaration . What will be its speed at the end pf 100 s
Answer:
Explanation:
Distance = 1 km
= 1000m
Time = 100 sec
Speed = distance / time
= 1000 / 100
= 10 m/s
Which best describes the motion of the object between 1 and 4 seconds?
Answer:The object has negative acceleration and eventually stops.
Explanation:
Answer:not sure
Explanation:
Sorry:(
10). Three - fourth of the volume of a block which is floating in water extends above the surface
of the water. What is the density of the block?
Answer:
Explanation:
Fill the graduated cylinder partially with water to a level where you can submerge the object and drop the sinker weight into the water. If you don't have a graduated cylinder to fit your object, put a cylinder in a basin, fill it to the top with water and measure the overflow into the basin. Your answer will be less accurate because of the number of times the water has been moved. Note the amount of displacement in milliliters (ml) caused by the sinker and string.
Measure the mass of your object (say a cork) on a balance scale in grams (g). Be sure the object is dry when it is measured. Record its weight. Attach the sinker with the string to the object. If you use a staple or pin, be sure to include that when you measure the displacement of the sinker in step one.
At what point on a roller coaster is the kinetic energy increasing? As it is going down the hill. At the top of the hill. As it is climbing the hill. At the bottom of the hill.
Answer:
As it is going down the hill
Explanation:
Answer:
As it is going down the hill.