Answer: 490
Explanation:
Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown below. The coefficient of kinetic friction between the blocks and the surface is 0.25. If each block has an acceleration of 3.0 m/s² to the right, what is the magnitude F of the applied force (in N)?
M1=1.2 kg
M2=3.2 kg
Angle that F makes with the horizontal=69⁰
Answer:
77 N
Explanation:
Draw free body diagrams for each block.
The smaller block has four forces acting on it:
Weight force m₁g pulling down,
Normal force N₁ pushing up,
Friction force μN₁ pushing to the left,
and tension force T pulling to the right.
Sum of forces in the y direction:
∑F = ma
N₁ − m₁g = 0
N₁ = m₁g
N₁ = (1.2 kg) (9.8 m/s²)
N₁ = 11.76 N
Sum of forces in the x direction:
∑F = ma
T − μN₁ = m₁a
T = m₁a + μN₁
T = (1.2 kg) (3.0 m/s²) + (0.25) (11.76 N)
T = 6.54 N
The larger block has five forces acting on it:
Weight force m₂g pulling down,
Normal force N₂ pushing up,
Friction force μN₂ pushing to the left,
Tension force T pulling to the left,
and applied force F pulling 69° above the horizontal.
Sum of forces in the y direction:
∑F = ma
N₂ + F sin 69° − m₂g = 0
N₂ + F sin 69° = m₂g
N₂ + F sin 69° = (3.2 kg) (9.8 m/s²)
N₂ + F sin 69° = 31.36 N
Sum of forces in the x direction:
∑F = ma
F cos 69° − T − μN₂ = m₂a
F cos 69° − μN₂ = m₂a + T
F cos 69° − 0.25 N₂ = (3.2 kg) (9.8 m/s²) + 6.54 N
F cos 69° − 0.25 N₂ = 37.9 N
We have two equations and two variables. Solve for N₂ in the first equation and substitute into the second.
N₂ = 31.36 − F sin 69°
F cos 69° − 0.25 (31.36 − F sin 69°) = 37.9
F cos 69° − 7.84 + 0.25 F sin 69° = 37.9
F (cos 69° +0.25 sin 69°) = 45.74
0.592 F = 45.74
F = 77.3 N
Rounded to two significant figures, the magnitude of the force is 77 N.
Could you add two vectors and have the sum be smaller in magnitude than one of the vectors?
Also, why is it either yes or no?
Answer:
Let there be vectors A and B where B = -A
Then A + B = 0
What is evidence used by Galileo to disprove Aristotle and Ptolemy?
Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe.
Galileo Galilei played a crucial role in challenging the prevailing geocentric model of the universe proposed by Aristotle and supported by Ptolemy. He provided several lines of evidence that effectively disproved their theories and supported the heliocentric model proposed by Nicolaus Copernicus. Some of the key evidence used by Galileo includes:
1. Observations through a telescope: Galileo was one of the first astronomers to use a telescope to observe the heavens. His telescopic observations revealed several important discoveries that contradicted the Aristotelian-Ptolemaic worldview. He observed the phases of Venus, which demonstrated that Venus orbits the Sun and not Earth. He also observed the four largest moons of Jupiter, now known as the Galilean moons, which provided evidence for celestial bodies orbiting a planet other than Earth.
2. Sunspots: Galileo's observations of sunspots provided evidence that the Sun is not a perfect celestial body, as suggested by Aristotle. Sunspots indicated that the Sun has imperfections and undergoes changes, challenging the notion of celestial perfection.
3. Mountains on the Moon: Galileo observed the rugged and uneven surface of the Moon, which contradicted Aristotle's belief in celestial spheres made of perfect, unchanging material. The presence of mountains on the Moon suggested that celestial bodies are subject to the same physical laws as Earth.
4. Phases of Venus: Galileo's observations of the phases of Venus provided direct evidence for the heliocentric model. As Venus orbits the Sun, it goes through phases similar to the Moon, ranging from crescent to full. This observation strongly supported the idea that Venus revolves around the Sun.
These lines of evidence presented by Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe. His work marked a significant turning point in the history of science and laid the foundation for modern astronomy.
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Q.1- Find the distance travelled by a particle moving in a straight line with uniform acceleration, in the 10th unit of time.
Answer:
If the acceleration is constant, the movements equations are:
a(t) = A.
for the velocity we can integrate over time:
v(t) = A*t + v0
where v0 is a constant of integration (the initial velocity), for the distance traveled between t = 0 units and t = 10 units, we can solve the integral:
\(\int\limits^{10}_0 {A*t + v0} \, dt = ((A/2)10^2 + v0*10) = (A*50 + v0*10)\)
Where to obtain the actual distance you can replace the constant acceleration A and the initial velocity v0.
How many bonds can antimony form?
Answer:
An antimony can form 3 bonds
Let me know if this helps
Thanks!
:)
Explanation:
EASIEST QUESTION FOR BIG POINTS!
Math the definitions!
The correct answers are: 1. Earth at the center of the universe - Geocentric model, 2. Big bangs are followed by the big crunch and another big bang in a repeating pattern - Cyclic model, 3. Proposed by Nicolaus Copernicus and Aristarchus - Heliocentric model, 4. Proposed by Aristotle - Geocentric model, 5. The universe started from a single point - Big Bang Theory, 6. Proposed by George Lemaitre - Big Bang Theory, 7. The sun at the center of the universe - Heliocentric model
The Geocentric model was the widely accepted model of the universe until the 16th century. It suggested that Earth was the stationary center of the universe, and all celestial bodies moved around it. The Heliocentric model proposed that the Sun was the center of the universe, and all planets including Earth revolved around it. Nicolaus Copernicus and Aristarchus were the proponents of this model.
The Cyclic model suggests that the universe goes through an infinite cycle of big bang and big crunch, leading to the creation of new universes. This model is different from the Big Bang theory, which states that the universe started from a single point and has been expanding since then.
The Big Bang theory is currently the most widely accepted model that explains the origin and evolution of the universe. It suggests that the universe started from a single point and expanded rapidly, leading to the formation of galaxies, stars, and planets. George Lemaitre was the first to propose this theory in 1927.
Therefore, the Geocentric model and the Heliocentric model proposed different views on the position of the Earth and the Sun in the universe, while the Big Bang theory and the Cyclic model propose different views on the origin and evolution of the universe.
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1. Find the mass of eight neutrons.
2. Find the mass of two electrons.
Which category of mechanical waves are produced during an earthquake?
A) Gamma wave
B) Radio wave
C) Seismic wave
D) Electromagnetic wave
Answer:
The answer is C. Seismic waves.
Explanation:
Seismic waves are waves of energy that travel through Earth's layers, and are a result of earthquakes.A small box of mass m is placed on top of a larger box of mass 2m as shown
in the diagram at right. When a force F is applied to the large box, both boxes accelerate to the right with the same acceleration. If the coefficient of static friction between the lower block and the upper block is μs and the coefficient of kinetic friction between the lower block and the floor is μk, which two of the following statements must be true?
A) The force of friction between the blocks is smaller in magnitude than the force F.
B) The force of friction between the lower block and the floor is equal to 3μkmg.
C) The friction force on the upper block is directed towards the left.
D) The force of static friction acting on the system is greater than the force of kinetic friction acting on the system.
Answer: aaa
Explanation: a
aaa
At low pressures and high temperatures, the density of a gas
Answer:
Higher denisty
Explanation:
High pressure=high denisty
State the
the properties of magnets.
Answer:
All magnets have two poles: the North Pole and the South Pole.
Magnets attract ferromagnetic materials such as iron, nickel, and cobalt.
The magnetic force of a magnet is stronger at its poles than in the middle.
A freely suspended magnet always points in North-South direction.
Hope this helps
A 750 kg race car accelerates to the right. The engine applies a force of
+7000 N to the car. The total friction on the car in the opposite
direction is -200 N.
Find the net force on the car then use 'Fnet = m a' to find the
acceleration.
O a
b
Oc
Od
12.4 m/s2
10.5 m/s2
8.0 m/s2
9.1 m/s2
Give two examples of situations or application where electronic circuits are used
Part B
Enter into the table your calculated value for the spring constant, then play with different values of mk
until you get a close match to the motion. (Note: It will never be perfect. Remember that there are two
kinds of spring damping. Both are at work here, but we are not going to model both.) Once you're
satisfied with your model, record your model values in the table below.
The spring stiffness is quantified by the spring constant, or k. For various springs and materials, it varies.
What is Spring constant?The stiffer the spring is and the harder it is to stretch, the larger the spring constant.
Springs are pliable mechanical devices that regain their previous shape after deforming, i.e. after being stretched or compressed. They are an essential part of many different mechanical devices.
The well-known metal coil has evolved into an essential element in the modern world, appearing in everything from engines to appliances to tools to automobiles to medical equipment and even basic ball-point pens. The spring's ability to store mechanical energy accounts for its widespread use and applications.
Therefore, The spring stiffness is quantified by the spring constant, or k. For various springs and materials, it varies.
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A liquid having a mall depth but a large volume is forced by an applied pressure p
Two vehicles, a 3,650-kg car and a 9,850-kg truck, are parked in a lot 25.0 meters apart.
Calculate the gravitational force between these two vehicles.
500 kilograms of supplies are added to the truck. Explain whether the gravitational force increases, decreases, or stays the same between the two vehicles.
Remember to identify all data (givens and unknowns), list equations used, show all your work, include units and the proper number of significant digits, and write explanation in complete sentences to receive full credit.
1) The force is 3.8 * 10^-6 N
2) The force will increase since the force is proportional to the masses of the trucks
What is the gravitational force?Gravitational force is a fundamental force of nature that exists between any two objects that have mass or energy. It is the force of attraction that exists between any two objects in the universe, and is responsible for holding planets in their orbits, causing objects to fall towards the Earth, and keeping galaxies together.
Given;
F = Gm1m2/r^2
F = 6.6 * 10^-11 * 3,650 * 9,850/(25)^2
F = 3.8 * 10^-6 N
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a shot putter heaves a 7.26kg shot with final velocity of 7.50m/s what is kinetic energy?
Answer: KE=.5mv^2
KE=.5(7.62)(7.5)^2
KE=.5(7.62)(56.25)
KE=.5(428.625)
KE=214.3125 J of KE
Explanation:
Given:
Mass, m = 7.26 kgFinal velocity, v = 7.50 m/sAs we know,
→ \(K.E = \frac{1}{2} mv^2\)
By substituting the values, we get
\(= \frac{1}{2}\times 762\times (7.5)^2\)
\(= \frac{1}{2}\times 7.62\times 56.25\)
\(= \frac{1}{2}\times 428.625\)
\(= 214.32 \ J\)
Thus the response above is appropriate.
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H H H O H O N C C N C C H O H H O H H C H H H ALANINE GLYCINE
What is the difference between these two amino acids?
Tula para sa parents
Para sa aking Mahal na Magulang
Tula ni Eden Diao Apostol
Ang buhay kong ito’y sa inyo nagmula
Pangalawa sa Diyos na s’yang lumikha
Utang ko sa inyo ang aking hininga
Minahal, hinubog ng inyong kalinga.
Mga sakripisyo’y sadyang hindi biro
Mula ng ako’y iniluwal sa mundo
Pag-ibig na iniukol sa ‘ki’y totoo
Pagmamahal ninyo’y nagsilbing lakas ko.
Ako’y tinuruan ng magandang asal
Sa gitna ng hirap ako’y pinag-aral
Upang ‘di mapariwara ang aking buhay
Diplomang natanggap sa inyo ini-alay.
Ngayon ang buhay ko ay sadyang kay-palad
Pangarap ko’y unti-unting natutupad
Ito’y bunga ng ‘nyong dakilang paglingap
Sa ‘king puso’y walang hanggang pasalamat.
Pagkalinga ng Magulang
Tula ni Laurence B. Reyes
Saking pag unlad baon ang inyong aral
Bilang papuri at sa inyo ay parangal
Ang walang katapusang pasasalamat
Ang pag ibig at karangalan ang dapat.
Sa aking pagmulat sa mundo ng kaligayahan
Kayo ang aking lagging nadadamhan
Sa aking paglaki dama pa rin ang aruga
Hindi ko makalimutan ang pagmamahal at aruga
Sa pag aaruga at pag aalaga
Sa pag ibig at iyong pagkalinga
Sadyang tinakda ng ating kapalaran
Patungo lamang sa tuwid na daan.
Ang pagbibigay ng natatanging aral
Ang inyong anak ay nabusog sa pangaral
Ang inyong pag ibig na para sa akin
Tanging kabutihan ang nais hatid.
Naging daan patungo sa kabutihan
Naging daan ng pag ibig sa tahanan
Kayo ang pundasyon, mabuting samahan
Maraming salamat sa pagmamahal.
According to the graph, the average acceleration of the car from 0.0 s to 40.0 s is
a. 2.0 m/s²
C.3.5 m/s²
b. -2.5 m/s²
d.2.5 m/s²
The acceleration of the object is 2.5 m/s^2
What is acceleration?The idea that should be at the back of your mind when you hear the use of the term acceleration is the change in the velocity of the object with respect to the time.
In this case, we have to look at the graph that we have been given in the question. It is a graph of the velocity against the time and the slope of the graph is the acceleration of the motion that is under consideration.
a = 100 - 0/40 - 0
= 2.5 m/s^2
We have the acceleration as 2.5 m/s^2
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A man pushed a table, using a force of 8 newtons. He moved the table 2 meters. How much work did he do?
The man did 16 Joules of work on the table.
What is the amount of work done by the man?Work done is simply defined as the energy transfer that takes place when an object is either pushed or pulled over a certain distance by an external force. It is expressed as;
Work done = force × distance
Where force is the amount of force applied and distance is the distance the object was moved.
In this case;
Force applied = 8 newtonsDistance moved = 2 meters.So, substituting these values into the formula, we get:
Work done = force × distance
Work done = 8N × 2m
Work done = 16Nm
Work done = 16 Joules
Therefore, the work done on the table is 16J.
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Please help, only answer if your 1000% correct im in summer school and need to pass this class
Action reaction forces never cancel each other out because .............................? *
1 point
they do not act on objects.
they act on the same objects
they act on different objects.
none of the above
A force can be described as? *
1 point
push or pull action
pulling direction
direction of change
push action only
Using EquatIO calculate the resultant force for the horizontal (x-axis) component. Show your calculation step. *
2 points
Captionless Image
A player hits a baseball with a bat. The action force is the impact of the bat against the ball. The reaction force is .......................? *
1 point
Captionless Image
the grip of the player's hands on the ball
the weight of the ball
the air resistance of the ball
the force of the ball against the bat
Which law is this? "An object at rest tends to stay at rest and an object in motion tends to stay in motion unless acted upon by an unbalanced force." *
1 point
Newtons third law
Newtons second law
Newtons first law
None of the above
Which law is this? "If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A." *
1 point
None of the above
Newtons second law
Newtons first law
Newtons third law
What can be said about a force on an object that is not stationary? *
1 point
Captionless Image
there are no forces acting on the object
there are unequal forces acting on the object
there is only one force acting on the object
there are equal and opposite acting on the object
Using EquatIO calculate the resultant force for the vertical (y-axis) component. Show your calculation step. *
2 points
Captionless Image
Identify the different force acting on a moving vehicle shown in the mage below. *
5 points
Captionless Image
A B C D E
Reaction force
Weight
Friction
Air resistance
Thrust
Reaction force
Weight
Friction
Air resistance
Thrust
Which law is this? "The acceleration of an object is directly related to the net force and inversely related to its mass." *
1 point
None of the above
Newtons third law
Newtons first law
Newtons second law
If forces acting on an object are unbalanced, what can occur to the object? *
1 point
acceleration
all of the above
change of shape
deceleration
change in direction
If a player hits a baseball with a force of 870N Calculate the acceleration (state the units) of the ball . Show your calculation step using only EquatIO. *
2 points
Captionless Image
Action reaction forces never cancel each other out because .............................? *
1 point
they act on different objects.
none of the above
they act on the same objects
they do not act on objects.
because they work on the same object
Explanation:
A push and pull factor
when did the story happen of paragraph
Answer:
1. The story happens at Masayahin Senior High School,during his first class in grade 11.
2. The transitional divices are used is At first,then,after a year, in the end.
3. I entered the class and jasper offered me a seat.
4. A story.
5. in chronological orde
What are two important factors to consider when describing the effect of an applied force on an object’s motion
The magnitude of the applied force and the mass of the object, together determine how an object's motion will change in response to the applied force.
When describing the effect of an applied force on an object's motion, two important factors to consider are:
Magnitude of the Force: The magnitude or strength of the applied force determines the amount of acceleration or deceleration experienced by the object. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. A greater force will result in a greater acceleration, while a smaller force will result in a smaller acceleration. Additionally, the direction of the force relative to the object's initial motion will determine if it speeds up, slows down, or changes direction.
Mass of the Object: The mass of the object being acted upon is another crucial factor. As mentioned earlier, according to Newton's second law, the acceleration of an object is inversely proportional to its mass. This means that for a given force, an object with a larger mass will experience a smaller acceleration compared to an object with a smaller mass. In simpler terms, it requires more force to accelerate a heavier object compared to a lighter object.
These two factors, the magnitude of the applied force and the mass of the object, together determine how an object's motion will change in response to the applied force.
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Two rivers have the same volume of water flow over time but fall from different heights to power hydroelectric turbines. Which river would provide the most power? Explain why you chose that answer, describing the water's kinetic energy, potential energy and the law of conservation of energy.
The higher the water fall, the more the HEP produced.
What does the height of the water fall have to do with the HEP?The height of a waterfall is directly related to the potential energy of the water and the amount of hydroelectric power (HEP) that can be generated from it. Hydroelectric power is generated by harnessing the energy of falling water to generate electricity. The height of the waterfall determines the potential energy of the water, which is then converted into kinetic energy as the water falls and drives a turbine.
The higher the waterfall, the more potential energy the water has, and the more kinetic energy it can generate as it falls. This means that a taller waterfall has the potential to generate more hydroelectric power than a shorter waterfall.
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The following are four electrical components.
A. A component which obeys ohm's law
B. Another component which obeys ohm's law
but which has higher resistance than A
A filament lamp
C.
D. A component, other than a filament lamp,
which does not obey ohm's law.
a. For each of these components, sketch current-
voltage characteristics, plotting current on the
vertical axis, and showing both positive and
negative values. Use one set of axes for A and
B, and separate sets of axes for C and for D.
label your graphs clearly.
b.
Explain the shape of the characteristic for C
c. Name the component you have chosen for D.
For the following are four electrical components:
a. For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.
b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it.
c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction.
For the following are four electrical components:
a. Sketches of current-voltage characteristics:
For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.
Current (I)
^
| B
| /
| /
| /
| /
| /
| /
| /
| /
| /
|/
+------------------> Voltage (V)
Current (I)
^
| A
| /
| /
| /
| /
| /
| /
| /
| /
| /
|/
+------------------> Voltage (V)
For component C, a filament lamp, the current-voltage characteristic would be a curve that is not linear. It would exhibit a non-linear increase in current with increasing voltage. At lower voltages, the lamp would have low resistance, but as the voltage increases, the resistance of the filament also increases due to the phenomenon of thermal self-regulation. This leads to a slower increase in current at higher voltages.
For component D, a component that does not obey Ohm's law, the current-voltage characteristic could be any non-linear curve depending on the specific component chosen. Examples of components that do not obey Ohm's law include diodes and transistors.
b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it. As the voltage across the filament increases, the temperature of the filament increases as well, causing its resistance to increase. This increase in resistance results in a slower increase in current with increasing voltage, leading to the characteristic non-linear curve observed.
c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction. It exhibits a non-linear current-voltage characteristic where it conducts current only when the voltage is above a certain threshold, known as the forward voltage. Below this threshold, the diode has a high resistance and blocks current flow in the reverse direction. The characteristic curve of a diode would show negligible current flow until the forward voltage is reached, after which it exhibits a rapid increase in current with a relatively constant voltage.
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Mudflows composed of soil, volcanic debris, and water can occur as the result of an explosive volcanic eruption. What are these mudflows called?
These mudflows are called Lahar.
A quickly moving mixture of rock debris and water that begins on a volcano's slopes is referred to as a lahar in Indonesian. Other names for lahars are volcanic mudflows and debris floods. The size, pace, and volume of material transported by a moving lahar can constantly alter as it rushes downstream. It resembles a swirling slurry of wet concrete.
The melting of snow and ice as well as the ingestion of river or lake water by the moving slurry may both add to its water consumption. A lahar's starting flow may be quite tiny, but as it entrains and integrates everything in its path, including rocks, dirt, vegetation, even structures like houses and bridges, it may increase in volume.
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What is the difference between classical mechanics and quantum mechanics?
Classical mechanics describes the motion of objects on a macroscopic scale, while quantum mechanics deals with the behavior of particles on a microscopic scale. Classical mechanics is deterministic, meaning that it predicts precise outcomes based on initial conditions, while quantum mechanics is probabilistic, providing probabilities of different outcomes. Classical mechanics follows the principle of causality, where every effect has a specific cause, whereas quantum mechanics introduces inherent uncertainty and wave-particle duality. Classical mechanics is well-suited for describing everyday objects, while quantum mechanics is necessary to explain the behavior of particles at the atomic and subatomic levels.
~~~Harsha~~~
A golfer hits a golf ball at an angle of 25 degrees to the ground at a speed of 76 m/s. If the gold ball covers a horizontal distance of 301.5 m:
What is the initial vertical velocity?
What is the initial horizontal velocity?
How long was it in the air?
What is the ball’s maximum height?
The ball's horizontal position x and vertical position y at time t are given by
x = (76 m/s) cos(25º) t
y = (76 m/s) sin(25º) t - 1/2 g t²
where g = 9.80 m/s² is the magnitude of the acceleration due to gravity.
The ball's initial vertical velocity is (76 m/s) sin(25º) ≈ 32.12 m/s.
Its initial horizontal velocity is (76 m/s) cos(25º) ≈ 68.88 m/s.
The ball stays in the air for as long as y > 0. Solve y = 0 for t :
(76 m/s) sin(25º) t - 1/2 g t² = 0
t ((76 m/s) sin(25º) - 1/2 g t ) = 0
t = 0 or (76 m/s) sin(25º) - 1/2 g t = 0
Ignore the first solution.
(76 m/s) sin(25º) - 1/2 g t = 0
(76 m/s) sin(25º) = (4.90 m/s²) t
t = (76 m/s) sin(25º) / (4.90 m/s²)
t ≈ 6.55 s
Recall that
v² - u² = 2 a ∆y
where u and v denote initial and final velocities, a is acceleration, and ∆y is displacement. At maximum height, the ball has zero vertical velocity, and taking the ball's starting position on the ground to be the origin, ∆y refers to the maximum height. So we have
0² - ((76 m/s) sin(25º))² = 2 (-g) ∆y
∆y = ((76 m/s) sin(25º))² / (2g)
∆y ≈ 52.6 m
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.
To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.
In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.
To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.
Total cost covered by the five friends = Total cost - Cost of one person's meal
= (£12 x 6) - £12
= £72 - £12
= £60
Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).
Amount each friend needs to pay = Total cost covered by the five friends / Number of friends
= £60 / 5
= £12
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