The height of the cliff is 81.63 m.
The time spent by the stone in air is 4.08 seconds.
The horizontal distance travelled by the stone is 61.2 m.
The stone’s horizontal speed right before it hits the ground is 15 m/s.
What is the height of the cliff?
The height of the cliff is calculated as follows;
v² = u² + 2gh
where;
v is the final vertical velocity of the stone = 40 m/su is the initial vertical velocity of the stone = 0h is the vertical height of the stoneg is acceleration due to gravityv² = 0 + 2gh
h = v²/2g
h = (40²) / (2 x 9.8)
h = 81.63 m
The time of motion of the stone is calculated as follows;
h = ut + ¹/₂gt²
where;
u is initial vertical velocity = 0t is time of motion of the stoneh = 0 + ¹/₂gt²
t = √(2h/g)
t = √(2 x 81.63 / 9.8)
t = 4.08 seconds
The horizontal distance travelled by the stone is calculated as follows;
X = Vₓt
where;
Vₓ is initial horizontal velocityX = (15) x (4.08)
X = 61.2 m
During the horizontal motion of a projectile, the horizontal speed is constant. That is the final horizontal speed is equal to initial horizontal speed.
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What is the speed of a truck traveling 10km in 10 minutes
Answer: 58.8235 km/h
speed = distance/time
the distance is 10 km
the time is 10 minutes
the unit is not correct, so we first change minute to hour
so 10/60 is 0.166667, rounded to 0.17.
10 km/ 0.17 hours =
a 128 kg astronaut (including space suit) acquires a speed of 2.56 m/s by pushing off with his legs from an 1880 kg space capsule. what is the change in speed of the space capsule?
The speed of an item, which is a scalar quantity, is the size of the change in its location over time or the size of the change in its position per unit of time.
Speed is defined as the rate at which a distance travelled or a height reached changes. It has a time component. It is represented by the letters u for the starting speed and v for the ending speed. M/sec is the SI unit used.
Momentum is the result of an object's mass and velocity. It is a vector quantity since it has both a magnitude and a direction.
Because the astronaut and capsule are at rest, their initial momentum is zero.
Pf = Ma*Va + Mc*Vc
Pi = 0
Ma*Va + Mc*Vc = 0
Vc = Ma*Va / Mc
Vc = (128 * 2.56) / 1880
Vc = 0.174 m/s
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help please I need this
it's about Alfred Nobel
the man who dreamed of a better world
The life of Alfred Nobel in the chronological order is given below.
Alfred became interested in chemistry while studying in France and in America.Alfred returned to Russia with a dream of controlling nitroglycerin so that it could be used to help blast roads and tunnels.Alfred discovered that if he mixed the nitroglycerin with a special soil, it would put the nitroglycerin to sleep.Tragedy struck when a terrible explosion with nitroglycerin killed five people, including Alfred's brother.Alfred build a factory that produced and transported nitroglycerin.Alfred invented the blasting cap that was used to "wake" the nitroglycerin up from its sleep, calling this new invention dynamite, which he patented and sold all over the world.Alfred became a very rich man, and he gave all of his money to set up a fund to award prizes to men and women who show they make the world a better place.To know more about Alfred Nobel here:
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rather than all planetary bodies being composed of the same materials, low-temperature materials are far more abundant in the planetary bodies of the outer solar system. what do we call this phenomenon?
Rock, metal, ice, and gas are distributed in the solar system in an orderly manner.
Numerous tiny things in the Solar System are orbiting the Sun, including an unknown number of dwarf planets. Natural satellites, also known as "moons" after the Moon of Earth, orbit the six major planets, the six largest dwarf planets, and many of the smaller worlds. Jupiter's moon Callisto is almost as big as Mercury, the smallest terrestrial planet, and two natural satellites, Saturn's moon Titan and Jupiter's moon Ganymede, are both larger but not more massive than Mercury. Solar System is around the earth.
Planetary rings made of ice, dust, and moonlets surround each of the large planets as well as a few minor worlds. Objects made of rock, metal, and ice can be found in the asteroid belt, Solar System is located between the orbits of Mars and Jupiter.
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starting from rest, an iron block with mass mb slides down a frictionless hill of height h. at the base of the hill, it collides with and sticks to a magnet with mass mm.
The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction. There are various kinds of friction: Two solid surfaces in touch are opposed to one another's relative lateral motion by dry friction.
"V = √2gH*{mb/(mM+mM)}"
Given
First block's mass is mB.
Second block's mass is mM.
H = Height
The mass's speed right before impact is m.
V = √2gH
Since there is no external force acting on the masses, the linear momentum will remain constant.
Initially linear momentum equals ultimately linear momentum
Pi = mB V
Let's assume that the system's final speed is v.
Pf = (mM + mB)
V = (mM + mB)
V = √2gH*{mb/(mM+mM)}
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If the location of A (2, -5)
with reference to point (0,0)
What is the direction of A
The point A is located at coordinates (2, -5). This means that A is 2 units to the right of the origin and 5 units below the origin. The direction of A is therefore to the right and down.
What is direction?
The four main compass directions are known as the four cardinal directions, or cardinal points. They are north, east, south, and west, and are typically represented by the initials N, E, S, and W, respectively. The directions east, south, and west are spaced 90 degrees apart from the direction north. Northeast, Southeast, Southwest, and Northwest are the ordinal directions, also known as the intercardinal directions (NW). A secondary intercardinal direction is the direction that lies between each set of intercardinal and cardinal directions.
West-northwest, North-northwest, North-northeast, East-northeast, East-southeast, South-southeast, South-southwest, West-southwest
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a book slides across a level, carpeted floor with an initial speed of 3.85 m/s and comes to rest after 3.25 m. calculate the coefficient of kinetic friction ???? between the book and the carpet. assume the only forces acting on the book are friction, weight, and the normal force.
The coefficient of kinetic friction between the book and the carpet is 0.23.
What is coefficient of kinetic friction?
The coefficient of kinetic friction is the ratio of the friction force to the normal force experienced by a body moving on a dry, rough or non-smooth surface.
From Newton's second law of motion, the coefficient of kinetic friction is calculated as follows;
F - Ff = ma
where;
F is the applied forceFf is the frictional forcem is mass of the objecta is the acceleration of the objectSince force of friction is the only force acting on the object, our final equation becomes;
-Ff = ma
-μmg = ma
-μg = a
-μ = a/g
μ = - a/g
The acceleration of the book is calculated as follows;
v² = u² - 2as
where;
v is the final velocityu is the initial velocitya is the accelerations is the distance traveledWhen the book stops, the final velocity, v = 0
0 = u² + 2as
-2as = u²
-a = u²/2s
-a = (3.85²) / (2 x 3.25)
a = - 2.28 m/s²
Coefficient of kinetic friction = - (-2.28 m/s² / 9.8 m/s²) = 0.23
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Consider a 5.0 kg object traveling to the right at 25 m/s and colliding with a stationary 1.0 kg object.
a. What is the total momentum of the system?
b. If the first object continues at 20. m/s to the right after the collision, what is its
new momentum?
c. How much momentum was transferred to the 1.0 kg object?
d. What is the final velocity of the 1.0 kg object?
Momentum of system remains conserved before and after the collision. Thus, a. Total momentum of system, p = 125kg-m/s
b. New momentum of first object, p = 100kg-m/s
c. Momentum transferred to 1.0kg object, p = 41.6kg-m/s
d. Final velocity of 1.0kg object, v = 41.6m/s
Given, mass of first object [tex]m_{1}[/tex]= 5.0kg and mass of second object [tex]m_{2}[/tex] = 1.0kg
Velocity of first object [tex]v_{1}[/tex]= 25m/s and velocity of second object [tex]v_{2}[/tex] =0 m/s
Thus, Total momentum of the system, p = mv
[tex]p= m_{1} v_{1} +m_{2} v_{2}[/tex]
p = 5*25 + 1*0
p = 125kg-m/s
Now, after collision first object continues to move with final velocity 20m/s. Hence, new momentum, p = mv
p = 5*20
p = 100 kg-m/s
Momentum transferred to 1.0kg object, p= mv
where m = 1.0kg and v = final velocity of 1.0kg object
For calculating final velocity of second object,
[tex]v_{2f} = (\frac{2m_{1} }{m_{1} +m_{2} } )v_{1i}+ (\frac{m_{2}-m_{1} }{m_{1}+m_{2} } )v_{2i}[/tex]
[tex]v_{2f}[/tex]= [tex](\frac{2*5}{5+1} )25 + (\frac{1-5}{5+1} )[/tex]*0
[tex]v_{2f} = 41.6 m/s\\[/tex]
Thus, momentum transferred to 1.0kg object, p = mv
p = 1* 41.6
p = 41.6kg-m/s
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PLEASE HELP ME
How does a psychologist compare to a biologist? Consider similarities and differences.
A psychologist differ from a biologist in that a psychologist deals with helping people solve their emotional and mental problems by way mind analysis while biologists are scientists who studies living organisms.
Understanding the biologistsBiology refers to the study of life. Someone who studies biology is called a biologist.
The biologists helps us to understand the following:
The cellular composition of living organismsThe various systems which effectively makes up our body.The variations which exist between organisms of the same or different species.The genetic makeup of plants and animals.Cellulose respiration and others.So therefore, a biologists helps us understand all about plants and animals while the psychologists deals with studying human minds.
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identify the forces on the car. check all that apply. identify the forces on the car.check all that apply. gravity f⃗ gf→g normal force n⃗ n→ friction f⃗ f→ drag f⃗ drag
Gravity, friction, and drag force are the forces that are acted on a car.
What are gravity, friction, and drag force?Gravity is defined as a force by which one body attracts other objects toward its center. Friction is the force that resists the relative motion of solid surfaces, fluid, and material that are sliding against each other. There are several types of friction force i.e. Dry friction is a type of force that opposes the relative motion of two solid surfaces that are in contact with each other.
Drag is a mechanical force that is generated by the interaction and physical contact of a solid body with a liquid or gas. It is not produced by a field force, gravitational field, or an electromagnetic field, in which one object can affect another object without any physical contact with each other.
So we can conclude that the forces acting on the car are gravity, friction and drag force.
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an object of unknown weight is suspended as shown. the tension in rope 1 is 25N and the tension in rope 2 is 31N. what is the weight of the suspended object?
The weight of the suspended object is determined as 39.82 N.
What is resultant force?The resultant force is described as the total amount of force acting on the object or body along with the direction of the body.
The weight of the suspended object is equal to the resultant force of the tension in the two ropes.
Let the resultant force = W
The value of of the resultant force is calculated as follows;
W² = 25² + 31²
W² = 1,586
W = √1586
W = 39.82 N
Thus, the weight of the suspended weight will be greater than the tension in each rope.
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Consider an electron at rest and answer the question that follows, giving a reason for every reponse (a) can you make the electron begin to move with a very strong magnet (b) can you make an electron begin to move using as electric field
Answer: (a) No we cannot able to move the electron with strong magnet field.
(b) yes we can able to move the electron with strong electric field
Explanation: Theoretically, both the gravitational and electric fields might speed up a travelling electron, but in most situations, only the electric field will do so significantly. Since the magnetic force is always perpendicular to the velocity, it will not affect the speed of an electron in motion.
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By applying a strong magnetic field, the electron will not travel. By applying an opposite electric field or the same electric field, the electron will move in a different direction, respectively.
The definition of an electric field is the electric force per unit of charge. It is assumed that the field's direction corresponds to the direction in which a positive test charge would experience force. The electric field is directed radially inward toward a negative point charge and radially outward from a positive charge. a circumstance present in the vicinity of a magnet or an electric current, defined by the presence of magnetic poles and a discernible magnetic field at every point in the vicinity.
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The girl is wearing shoes with an area of 150m2. What is the pressure?
The pressure exerted by the girl on the ground if she stands on two feet is 18333.33 N/m².
What is the pressure exerted by the girl on the ground if she stands on two feet?The pressure exerted by the girl on the ground if she stands on two feet is calculated as follows from the formula of pressure.
Pressure is defined as the force per unit area or the ratio of force exerted and the area in which the force is exerted.
Mathematically;
Pressure = force / areaTh unit of pressure is N/m²
The force exerted by the girl is equal to the weight of the girl
Force = 550 N
Area of one shoe = 150 cm²
Area of one shoe in m² = 150 cm² * 1 m²/10000 cm²
Area of one shoe in m² = 0.015 m²
Area of two shoes = 2 * 0.015 m² = 0.03 m²
Pressure = 550/0.03 N/m²
Pressure = 18333.33 N/m²
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Complete question:
A girl weighs 550 N. The girl is wearing shoes with an area of 150cm². What pressure will be exerted by the girl on the ground if she stands on two feet?
How does a decrease in temperature effect the volume of a balloon?
Due to the gas within cooling off due to the low temperature, the balloon's volume shrinks.
Briefing :The helium balloon rises because it is lighter than the same amount of air at ambient temperature. It is heavier than the same volume of air at low temperatures because its volume is too small. Because the average kinetic energy of the gas molecules in a balloon drops as temperature rises, the frozen balloon shrank. As a result, the molecules move more slowly and collide with the balloon's interior wall less frequently and weakly, causing the balloon to somewhat contract.
What causes the balloon's volume to change?If the temperature remains constant and the pressure decreases, the volume will increase (balloon expands). If the pressure increases while T remains constant (let's say you're holding the balloon underwater), V will decrease (balloon shrinks). When the temperature rises and the volume remains constant (like in an aerosol can), P increases.
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below are diagrams for the bright line spectra of four elements and the spectrum of a mixture of unknown gases.which elements are in the unknown?
A) Li
B) H
C)He
D)Na
The elements which are in the unknown according to the diagram given is He and is therefore denoted as option C.
What is a Spectra?This is referred to as a type of graph which shows the intensity of light being emitted over a range of energies and it varies with properties such as wavelength or frequency. When light is passed through a prism, band of colors are usually observed which signifies light spectrum with the plural being spectra.
In the diagram given , the element He and the unknown have the most similar spectra observed as a result of the lines which fall in almost the same range and place and it makes it the most likely component of the mixture of unknown gases.
This is therefore the reason why option C was chosen as the most appropriate choice.
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Remembering that the current in the filament is proportional to the electric field, what is the current in the filament following the doubling of its length?.
The current in the filament is halved following the doubling of its length.
Let the current flowing in the filament as I, the electric field in the conductor is E and the length of the conducting filament is L.
We know from ohm's law,
I = V/R
where V is the potential difference and R is the resistance of the conductor,
We also know,
R = ρL/A
where ρ is the resistivity of the conductor and the A is the area of the conductor,
I = VA/ρL
I/A = V/ρL
I = AE/ρ
if area and resistivity are constant,
I ∝ E
Here E = V/L
If V = constant,
E ∝ 1/L
Means we can conclude,
I ∝ E ∝ 1/L
So we can tell that on doubling the length of the filament will decrease the current by half.
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a rigid, 10 m3 vessel initially contains 100kg of water/ steam at p 5 2 bar. 10 kilograms of steam at p 5 5 bar and t 5 3008c is gradually added to the vessel. during the same time period, heat exchange occurs with the surroundings. the final water/steam mixture is at p 5 3 bar.
The resulting energy balance is q= -9623kj
What is resulting energy ?
resulting energy sorted in objects , molecules and atom , energy take many different forms .
It can be converted one into another .
Solution -
The vessel is 10m^3 and initially contains 100 kg of stream. so we can get
V= 0.1 m^3/kg
Between specific value and saturated liquid and saturated vapour at p= 2
So q = 0.112
Is rigid so the final mixture which has a mass of 110kg
Q= 0.149
Start with the independent energy balance it state that
- this is not a steady state process.
-please visit so no expension work.
-no mention of moving parts.
Thus the final result energy balance is - q= -9623 kj
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A 5.0 kg trolley is initially moving at 3.5 m/s West. A
12.4 N force (East) acts on it for 3.5 s. Take 'travelling
East' as being positive, and 'travelling West' as being
negative.
Part A Acceleration
Calculate the acceleration.
The acceleration by the trolley for moving to East side would be 2.4 m/s^2 according to law of equation.
What is force and acceleration and it comes out to be 2.4 m/s^2?Force , as we know a quantity discovered back by Newton is holding a great amount of importance in our daily lives.Force is a quantity which represents a push or pull.Since the quantity discovered by Newton , its quantity is Newton.Acceleration is the quantity which states the change in velocity per unit time.Using the equation F= m x a , where m is mass and a is acceleration . F is force and equating a= f/m , we can calculate the acceleration to be 2.4 m/s^2.To know more about acceleration visit:
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Which part of this graph is chart junk?
Answer:
B) the dramatic background picture that beautifies the graph
Explanation:
Chart junk is extra features that do not contribute to the data presented.
put a pipe over the end of a wrench when trying to turn a stubborn nut on a bolt, to effectively make the wrench handle twice as long, you will multiply the torque by
Answer:
Γ = r x F vector notation for torque
Doubling r (the length) will double the torque applied
The moment a
soccer player kicks a
ball. Time interval or a time instant? (Please give me the right answer)
Acceleration: the rate at which the speed and direction of a moving object vary over time.
What kind of motion is it when you kick a ball?After that, we'll describe the necessary kind of force. Complete response: Foot muscles are used to kick a football. Muscular force is hence the type of force used.
It is a multi-joint movement that requires the synchronization of several stabilizing and neutralizing muscles, mainly those in the hip and leg. Power and accuracy must be combined for a successful football kick, and depending on the technique, it may be either forceful or accurate.
Acceleration. The soccer ball would be kicked in this scenario, and the ball would move as a result of the motion. Kicking the soccer ball causes it to accelerate. When kicking a soccer ball, the average acceleration is roughly 8 meters per second.
Therefore, the imbalanced force is what causes the football to move, and it also affects the football when we kick it. As a result, option (B) is true since kicking a football is an example of unbalanced force.
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Please pick the best TWO choices for the following statement:
Some fats are good for you like ______ & ________.
A.
Monounsaturated
B.
Hydrogenated
C.
Polyunsaturated
D.
Saturated
Some fats are good for you like Monounsaturated ( A ) and Polyunsaturated ( C ) fats.
Monounsaturated and Polyunsaturated fats lower the risk of disease. These are good unsaturated fats. Foods that are rich in good unsaturated fats are fish, seeds, nuts and vegetable oils. Some of the vegetable oils that are good for health are olive, canola, sunflower, soy and corn oil.
Hydrogenated oil produces trans fat. If trans fat is taken even in small quantities, it increases disease risk. Food items rich in saturated fats are butter, cheese, ice cream, coconut oil etc. Eventhough these are not as harmful as trans fats, it is better to be consumed in moderate quantities.
Therefore, some fats are good for you like Monounsaturated ( A ) and Polyunsaturated ( C ) fats.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Which element does NOT have similar chemical properties to neon (Ne)?
A. F
B. Ar
C. Xe
D. He
earth moves about 67,000 mph relative to the sun. when you jump upward in front of a wall, the wall doesnt slam into you at 67,000 mph because the wall
When you jump upward in front of a wall, the wall does not slam into you at 67,000 mph because the wall and you are moving at the same speed, before, during, and after your jump.
Taking the Sun as a reference, the speed of the earth is 67,000 mph. This means that everything on the earth is also moving at a speed of 67,000 mph relative to the Sun.
So, the reason you don't slam into the wall is that you and the wall are both moving at the same speed of 67000 mph relative to the Sun.
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find the measure of x
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
[tex]\cfrac{x}{11}~~ = ~~\cfrac{4}{x}\implies x^2=44\implies x=\sqrt{44}\implies x=2\sqrt{11}[/tex]
Two friction less blocks, having masses of 8.0 kg and 2.0 kg, rest on a horizontal surface. If a force applied to the 8.0 kg block gives it an acceleration of 3.0 m/s2, then the same force will give the 2.0 kg block an acceleration of ________
The acceleration that is produced by the 2 Kg force is 12 m/s^2.
What is the force?We know that from the Newton first law, it is the magnitude of the force that is imparted to a body that produces the given acceleration. It is now safe to say that the force that is exerted on a body is directly proportional to the acceleration of the body. This is the fall out that we can take from the Newton law as stated above.
In this case, we have seen that the Two friction less blocks, having masses of 8.0 kg and 2.0 kg, rest on a horizontal surface.
Now;
F = ma
F = force
m = mass
a = acceleration
F = 8.0 kg * 3.0 m/s2
F = 24 N
We are told that the same force was applied to the 2 Kg mass
a = F/m
a = 24 N/2 Kg
a = 12 m/s^2
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Adding which object to a circuit will create a potential energy difference in a circuit?
OA) switch
OB) wire
OC) light bulb
OD) battery
Answer:
battery
Explanation:
A battery establishes an electric potential difference.
Answer:
D) Battery
Explanation:
Battery is a source that produces electric charges with different concentrative regions
[tex].[/tex]
Calculate how many minutes it takes sunlight reach us from the sun. Light travels at 3 x 10^8
m/s and the sun is about 144 million km away
Sunlight will take 8 minutes to reach the Earth.
Sunlight is part of the electromagnetic radiation emitted by the Sun, especially infrared, visible and ultraviolet light.
Light is travelling with the speed of [tex]3 * 10^{8}[/tex] m/s
Distance between Sun and Earth is 144 million km
1 km = 1000 m
1 million km = [tex]10^{6}[/tex] km
[tex]10^{6}[/tex] km = [tex]10^{9}[/tex] m
144 million km = 144 * [tex]10^{9}[/tex] m
According to the speed, distance and time relationship, speed is directly proportional to the ration of distance and time.
Mathematically [tex]Speed = \frac{Distance}{Time}[/tex][tex]3 * 10^{8} = \frac{144 * 10^{9} }{Time}[/tex]
Time = [tex]\frac{144 * 10^{9} }{3* 10^{8} }[/tex]
Time = 480 sec
Time = 8 minutes
Time taken by the sunlight to reach the Earth's surface is 8 minutes.
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to determine the weight of object, you could? (a) use a beam balance (B) Use a spring balance (c) find the force necessary to give it a certain acceleration (d) use none of the above (e) use any of these methods
Answer:
A physical balance can be used to measure both mass and weight of an object.
a point charge q1 is held stationary at the origin. a second charge q2 is placed at point a, and the electric potential energy of the pair of charges is 5.4×10−8j. when the second charge is moved to point b, the electric force on the charge does −1.9×10−8j of work.
The electric potential energy of the pair of charges when the second charge is at point b is U at b = +7.3×10⁻⁸J.
Electric potential is the amount of work done in moving point charge from infinity to aspecific point.
Calculation of the electric potential energy:
Here the particle should be moved from the point at the time when the potential energy should be U a
The U b should be the change in the potential energy
W is work done.
(W at a )-(W at b) = U a - U b
U b = U a - (W at a )+(W at b)
So,
= 5.4 × 10⁻⁸J - ( -1.9×10⁻⁸ J)
= +7.3×10⁻⁸J.
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