The vertical location of the stone in meters, with respect to the top of the building is 10 m
We'll begin by obtaining the velocity of the stone after 10 s. This is can be obtained as follow:
Initial velocity (u) = 50 m/sTime (t) = 10 sAcceleration due to gravity (g) = 9.8 m/s²Final velocity (v) =?v = u - gt (Since the stone is going against gravity)
v = 50 - (9.8 × 10)
v = 50 - 98
v = -48 m/s
How to determine the location (i.e height)Now, we can obtain the location (i.e height) of the stone as follow:
Initial velocity (u) = 50 m/sFinal velocity (v) = -48 m/s Acceleration due to gravity (g) = 9.8 m/s²Height (h) =?v² = u² - 2gh (since the ball is going against gravity)
(-48)² = 50² - (2 × 9.8 × h)
2304 = 2500 - 19.6h
Collect like terms
2304 - 2500 = -19.6h
-196 = -19.6h
Divide both side by -19.6
h = -196 / -19.6
h = 10 m
Thus, the stone is 10 m high from the top of the building
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The half-life of a source of carbon-14 is 5760 years. After how many years will the
number of radioactive particles left be 12.5% of the original amount?
Show your working out here.
Accordingly, just half of the initial 14C will be present after 5,760 years, followed by a quarter after 11,490 years, an eighth after 17,280 years, and so on.
What does half-life mean?The half-life of a radioactive sample is the amount of time it takes for half of its atomic nuclei to spontaneously transform into other nuclear species and emit particles and energy. Alternatively, it is the amount of time it takes for a radioactive sample to disintegrate at a rate of one disintegration per second.
Briefing:The half-life of carbon-14 is 5760 years.
Therefore, after
1- half-life there is 50 %=1/2 of the original amount left.
2- half-life there is 25 %=1/4 of the original amount left.
3- half-life there is 12.5 %=1/8 of the original amount left.
Therefore, the time it takes for 3 half-lives of carbon-14 to pass would be your answer.
5760 * 3 = 17280 years
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HELP
Find the value of each calculation, rounded to the correct number of significant figures.
15.2÷4.368=
The value of 15.2 ÷ 4.368 rounded to the correct number of significant figures is 3.47985348.
What is significant figures?Significant figures is a digit that is meaningful with respect to the precision of a measurement.
Significant figures constitutes a digit that is nonzero, followed by a nonzero digit, or (for trailing zeroes) justified by the precision of the derivation or measurement.
According to this question, the following arithmetic expression is given:
15.2 ÷ 4.368 = 3.47985348
No. of significant figures: 9No. of decimals: 8Scientific notation: 3.47985348 × 100Therefore, the value of 15.2 ÷ 4.368 rounded to the correct number of significant figures is 3.47985348.
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If you were looking through a window and the light is on in the room and it's light out what would happen
Answer:
If the inside light is not too bright, a person on the outside could not see inside because the light reflected from the outside is too bright.
Explanation:
some of the light bounces (or reflects) off the glass. The rest of the light keeps going through the glass object, but the light is bent (or refracted) as it moves from the air to the glass
Please help me with this question
The displacement of Hermione is zero since the initial point and the final point are the same.
Displacement is the smallest distance between two positions, i.e. the starting and finishing points.
Hermione follows a circular path and hence her motion is circular motion. We know that one cycle of a circular motion is the movement of an object from one point in the circle to the same location after completing a complete revolution. Since the initial point and the final point are the same, it is obvious that there is only one point between which a displacement must be considered, which turns out to be zero.
Furthermore, even though Hermione walks on the circle path eight times, her displacement is still zero because the displacement involved for the 'n' number of cycles of circular motion is also zero.
As a result, Hermione's displacement is zero because the initial and final points are the same no matter how many times she walks around the circular path.
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A mass of 4 kg rests on a horizontal plane. A horizontal force P is gradually applied until at a force P = 10.6 N, the mass just
begins to slide. What is the coefficient of static friction between the mass and the surface?
The coefficient of static friction between the mass and the surface is 0.270
How to determine the coefficient of frictionFrom the question given above, the following data were obtained:
Mass (m) = 4 KgForce (F) = P = 10.6 N Acceleration due to gravity (g) = 9.8 m/s²Normal reaction (N) = mg = 4 × 9.8 = 39.2 NCoefficient of friction (μ) =?We can obtain the coefficient of friction as illustrated below:
Frictional force (N) = coefficient of friction (μ) × normal reaction (N)
F = μN
10.6 = μ × 39.2
Divide both sides by 39.2
μ = 10.6 / 39.2
μ = 0.270
Thus, the coefficient of static friction between the mass and the floor is 0.270
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1.5 kg ball has an acceleration of 9.0 m/s^2 to the left. what is the net force acting on the ball
1.5 kg ball has an acceleration of 9.0 m/s^2 to the left. what is the net force acting on the ball 13.50 N Leftwards
What is acceleration ?The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.
Any object's mass and acceleration in the force's direction are multiplied together to form the net force exerted on it.
Here, F = m*a
F = 1.5*9.0 = 13.50 N
Since, the acceleration is to the left, the net force also acts towards left.
13.50 N Leftwards
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i. ii. iii. An object travels from the rest with a constant acceleration of 10m/s². Determine the speed v at the end of 10s. the average speed for the 10s interval. the distance covered after 10s
20m/s is the average speed for the 10s interval
Given, a=10m/s 2u=0m/s (dropping)
t=2secSo, v=u+at=0+10(2)=20m/s
Velocity after 2sec=20m/s
Acceleration is it always the same?There will always be non-zero acceleration whenever there is a change in velocity, whether it is brought on by a change in speed or a change in direction. Stephen J If the net force is not constant, acceleration is not constant either.
When motion is accelerated continuously, the speed rises by the same amount every second. Free fall is the most illustrative and significant example. Gravity causes a constant acceleration when anything is thrown or dropped, with a constant value of around 10 metres per second squared.
When the magnitude and direction of the rate at which an item is changing its location stay constant, the object has constant velocity.
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In order to promote tolerance and peace, what ideology did the U.S. try to strengthen in the world?
A. Military power
B. Capitalism
C. Communism
D. Democracy
Answer:
c
Explanation:
what are the two main areas of pyisical scienece
Answer:
The two main areas of physical science are chemistry and physics. Chemistry is the study of the composition, structure, proper- ties, and reactions of matter. Physics is the study of matter and energy and the interactions between the two through forces and motion.
Explanation:
If a scientist was investigating the affect of pH on plant growth, what are things that should be held constant? Check all that apply.
Question 3 options:
The amount of water given to the plants each day.
The length of time each plant is exposed to light.
The temperature where the plants are stored.
The type of plant that is tested.
The things that should be held constant are the amount of water given to the plant each day, the length of time each plant is exposed to light and the temperature where the plants are stored.
What is a pH scale?Using a pH scale, acids and bases can be determined. The scale has a 0 to 14 range. In order to detect whether a chemical is an acid or a basic, Litmus paper is employed as an indication. The color of the paper, which corresponds to the numbers on the pH scale, indicates the type of chemical being tested. For instance, vinegar, which has a pH of 2.4, is an acid.
Now, according to the question,
The concentration of carbon dioxide in water affect the pH of the plant, so it depends on that how much water is given to the plant. The temperature also affect the pH of the plant so, the length of time each plant is exposed to light and the temperature where the plants are stored will also affect the pH on plant growth that's why these things should be held constant.
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Which of the following elements have the same amount of valence electrons as Sulfur (5)?
O N. Br, and Xe
O F, As, and Sn
O Si, P, and CI
O O, Se, and Te
Answer:
Explanation:
it's c
What are the four kinematic equations and what do the symbols of the equations mean?
and
How are the kinematic equations used to solve problems?
Four kinematic equations and what the symbols of the equations mean are as follows
v = v0 + a x t
Δ x = ( v + v0^2 ) t.
Δ x = v0 t + 1/2 a t^2.
v^2 = v0^2 + 2 a Δ x.
Here, v refers to final velocity, v0 is the initial velocity, x is the distance, t is the time and a is the acceleration
We may use a straightforward equation to calculate the average velocity of an object because kinematics equations are utilised when the object's acceleration is constant. Adding the beginning velocity to the final velocity and dividing by two yields the average velocity.
What do you mean by kinematics ?Kinematics equations describe how input movement at one or more joints determines the configuration of a mechanical system, such as a robot manipulator, in order to reach a task position or end-effector location.
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Marissa's car accelerates at a rate Of 42.60 m/?. How long does it take
for Marissa's car to accelerate from a speed of 88.5 km/h to a speed of
96.5 km/h?
The correct answer is 0.0539 sec.
Since we are aware that a body's position changes over time, the concept of velocity is introduced. The vector quantity known as velocity is sometimes referred to as the rate of change of location. The body's velocity increases as it changes position more quickly over time.
The acceleration of the car is 42.60 m/s^2.
Initial speed u = 88.5 km/h = 24.5 m/s
final speed v = 96.5 km/h = 26.8 m/s
The amount of time the car needs to travel from a speed of 24.5 m/s to a speed of 26.8 m/s must be determined. An object's acceleration is determined by:
t = v-u/a
t = (26.8 - 24.5) / 42.6
t = 0.0539 sec
Therefore, it takes the car 0.0539 seconds to increase from a speed of 24.5 m/s to a speed of 26.8 m/s. This is the necessary remedy as a result.
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The approximate speed-time graph for a car on a 5-hour journey is shown in Figure P1.21. (There is a very quick driver change midway to prevent driving fatigue!)
a State in which of the regions OA, AB, BC, CD, DE the car is
i accelerating,
ii decelerating,
iii travelling with uniform speed.
b Calculate the value of the acceleration, deceleration or constant speed in each region.
c What is the distance travelled over each region?
d What is the total distance travelled?
e Calculate the average speed for the whole journey.
a) OA acceleration AB uniform speed travel BC acceleration CD uniform speed travel DE deceleration.
b). OA 80 AB 160 BC 45 CD 100 DE 50 d). 435 e). OA 80 AB 80 BC 40 CD 100 DE -200 87
Describe acceleration.acceleration: the rate at which the speed and direction of a moving object vary over time. When something moves faster or slower, it is considered to be accelerating. Motion on a circle accelerates even while the speed is constant because the direction is always changing.
According to given data;
A) OA acceleration AB moving at a constant speed BC acceleration CD traveling at a constant speed DE deceleration, according to the information provided.
B). OA 80
AB 80
BC 40
CD 100
DE -200
C.) OA 80
AB 160
BC 45
CD 100
DE 50
D). 435
E). 87
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An object moves to the right at a rate of 8m/s. Moving to the right is the positive direction. What is the speed and velocity?
Answer:Given parameters: Mass of object = 6.7kg Velocity = 8m/s Unknown parameter: Kinetic energy = ? Energy is defined as the ability to do work. There are two forms of energy; Kinetic and potential energy. Kinetic energy is the energy due to the motion of a body. Whereas, potential energy is the energy due to the position of a body usually at rest. Kinetic energy is mathematically expressed as; Kinetic energy = where m is the mass of the body v is the velocity of the bodySince we have been given both mass and velocity, input the parameter to solve for the unknown; Kinetic energy = x 6.7 x 8² = 214.4JSo the kinetic energy of the body is 214.4J
Explanation:
Each circled letter in the circuit diagram represents a meter that is used to
measure a quantity in the circuit. Which meters show the amount of charge
passing a point each second?
A
C
m
A. C and D
ww
(В
There are meters created to precisely measure the fundamental values of voltage, current, and resistance for analyzing and testing circuits.
What exactly is a circuit schematic for a meter?Any apparatus designed to precisely detect and present an electrical quantity in a way that can be understood by a human is referred to as a meter. The majority of the current flows via one branch, while the remainder flows through the other branch. At the point of meter insertion, an ammeter is used to measure the amount of current (in amps or milliamps) flowing in a circuit. The circuit element you are measuring is always linked in series with an ammeter. The most frequent measurements in an electrical circuit are typically made with a meter. Current is measured by an ammeter.
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calculate the kinetic energy of a 820 kg compact car moving at 23 m/s.
Answer:
216,890 J
Explanation:
We first define the Kinetic Energy Formula:
K.E =
[tex] \frac{1}{2} m {v}^{2} [/tex]
where m is the mass of the object in kg, and v is the velocity in m/s.
Given from the information from the question, we substitute the values in to find K.E.
K.E of car =
[tex] \frac{1}{2} (820) {(23)}^{2} \\ = 216890 \: joules[/tex]
Note that the SI unit for Energy is Joules or J.
in the soapbox derby, young participants build non-motorized cars with very low-friction wheels. Cars race by rolling down a hill. Assume that the track begins with a 63-ft-long (1m = 3.28 ft) section tilted 12 degrees below horizontal. What is the maximum possible acceleration of a car moving down this stretch of track?
The maximum possible acceleration of a car moving down this stretch of track is 2.083 m/s².
What is maximum acceleration?
The maximum acceleration of an object is the maximum change in the velocity of the object with time.
The maximum possible acceleration of a car moving down this stretch of track is calculated as follows;
tanθ = a/g
where;
θ is the angle of inclination of the tracka is the maximum acceleration of the car g is acceleration due to gravitya = g tanθ
a = (9.8 m/s²) tan(12)
a = 2.083 m/s²
Thus, the maximum possible acceleration of a car moving down this stretch of track is 2.083 m/s².
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When people do a bungee jump they are asked how much they weigh. Why?
To do a bungee jump people need to be given a bungee rope that will stretch the right amount for their weight.
To fill the water tank at the bottom with the right amount of water for their weight.
To register the world record for their weight in the tournament.
To do a bungee jump people need to be given a bungee rope that will stretch the right amount for their weight which is why it must be measured and is denoted as option A.
What is Weight?This is referred to as the force which acts on a body or object as a result of gravity and is denoted as:
W = mg where m is mass and g is acceleration due to gravity.
In the case of a bungee jump, a rope is used and the weight of individuals have to be known so as to select the one which can stretch the right amount to prevent accidents.
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An object accelerates from rest at a constant rate of 4ms^_2 for a distance 200m.How fast is the object moving at that time?How long did it take for the object to reach that velocity?
The speed of the object is 40 m/s and the object takes 10 seconds to reach its velocity.
The rate at which an object's velocity with respect to time varies is known as acceleration. They are vector quantities. The direction of the net force acting on an object determines the direction of its acceleration.
The constant acceleration of the object starting from rest is 4 m/s².
The object covers a distance of 200 m.
So,
Initial velocity, u = 0 m/s
Acceleration, a = 4 m/s²
Distance, d = 200 m
Using the equation of motion,
v² - u² = 2as
v² = u² + 2as
v² = (0)² + 2 × 4 × 200
v² = 1600
v = √1600 m/s
v = 40 m/s
The time the object takes for the object to reach the velocity v will be:
v = u + at
at = v - u
t = (v - u) / a
t = ( 40 - 0) / 4
t = 10 sec
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What does the internal ordering of solid substances depend on?
Answer:
solid < liquid < gas
Explanation:
study island
Explanation:
hope it helps
is the density of an object always the same as its mass?
Responses
yes
no
A golf ball and a ping pong ball might be about the same size and shape. Which measurement would be similar?
Responses
mass
density
volume
weight
Earth's atmosphere, which traps heat and radiation from the sun, makes temperature more unstable, even when we are rotated away from the sun at night.?
Responses
True
False
Liquid water and a protective atmosphere are examples of:
Responses
Factors that all planets in our solar system have
Factors that allow for life on Earth
Factors that the Earth does not have
Which example is an organism?
Responses
a rattlesnake
a colony of ants
a population of butterflies
Which ability do all organisms have?
Responses
quickly escaping from predators
changing shape to blend into their surroundings
reproducing
consuming other organisms
Which characteristic of life is demonstrated by sweating?
Responses
ability to growability to grow,
ability to reproduce
ability to maintain structure and balance (homeostasis)
ability to breathe
What characteristic of life is demonstrated when you shiver to warm up your body?
Responses
maintaining homeostasis
acquiring energy
reproducing
Which term refers to the action an organism takes due to a change in the environment?
heredity.
stimulus
response
metabolism
The leaves on a green plant soak up sunlight to make food. A cow's stomach digests grass that was eaten.
Which characteristic of life do these examples demonstrate?
Responses
heredity
growth
homeostasis
metabolism
this is for Science
The answers include the following:
The density of an object always the same as its mass - false.A golf ball and a ping pong ball might be about the same size and shape therefore the measurement which would be similar is volume.Earth's atmosphere, which traps heat and radiation from the sun, makes temperature more unstable, even when we are rotated away from the sun at night is false.Liquid water and a protective atmosphere are examples of factors that allow for life on EarthA rattlesnake is an example of an organism.The ability to reproduce is what all organisms have.Ability to maintain structure and balance (homeostasis) is demonstrated by sweating. Maintaining homeostasis is the characteristic of life is demonstrated when you shiver to warm up your body.Stimulus is the action an organism takes due to a change in the environment.The leaves on a green plant soak up sunlight to make food and a cow's stomach digests grass that was eaten is referred to as metabolism.What is Photosynthesis?This is the process in which green plants manufacture food in the presence of sunlight and is a type of metabolic reaction.
Other examples of metabolic reactions include digestion process which involves a cow's stomach digests grass that was eaten.
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An airplane in flight is subject to an air resistance force proportional to the square of its speed v. But there is an additional resistive force because the airplane has wings. Air flowing over the wings is pushed down and slightly forward, so from Newton's third law the air exerts a force on the wings and airplane that is up and slightly backward (Figure 1). The upward force is the lift force that keeps the airplane aloft, and the backward force is called induced drag. At flying speeds, induced drag is inversely proportional to v2, so that the total air resistance force can be expressed by Fair=αv2+β/v2, where α and β are positive constants that depend on the shape and size of the airplane and the density of the air. To simulate a Cessna 150, a small single-engine airplane, use α = 0.270 N⋅s2/m2 and β = 3.45×105 N⋅m2/s2 . In steady flight, the engine must provide a forward force that exactly balances the air resistance force.
Calculate the speed at which this airplane will have the maximum range (that is, travel the greatest distance) for a given quantity of fuel. Hint: Think what condition the resistance force must satisfy in order to yield the maximum range.
The amount of the change in an object's position over time or the size of the change per unit of time, which is referred to as speed, is a scalar number in kinematics and common usage.
Calculate the speed at which this airplane will have the maximum range (that is, travel the greatest distance) for a given quantity of fuel.
When an airplane is in flight, air resistance exerts a force proportional to the square of the speed V. However, the fact that the airplane has wings adds another resisting force. According to Newton's third law, air flowing over the wings is pushed down and slightly forward, which results in the air exerting an upward and somewhat backward force on the wings and airplane (Figure 1). The lift force that holds the airplane in the air is upward, while induced drag is the backward force. The total air resistance force can be stated as F_air = A.V? +B/V2 since induced drag is inversely proportional to V2 at flying speeds, and a and B are positive constants that depend on the size and shape of the object, where A and B are constants that depend on the size, shape, and weight of the aircraft as well as the air's density. Use A = 0.260 N.s?/m2 and B = 3.49x105 N.mo/s2 to model the little single-engine Cessna 150. The engine must deliver a forward force during steady flight that precisely balances the force of air resistance.
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A bicyclist is moving in an eastward direction and slowing down. What are the directions of the velocity and acceleration vectors?
Question 1 options:
Both vectors are east
Velocity is west and acceleration is east
Velocity is east and acceleration is west
Both vectors are west
C. The correct option "velocity is east and acceleration is west".
What is negative velocity?A negative velocity occurs when an object moves in the negative direction.
Example of negative velocity;
If a car is moving away from you (reference point) then the velocity is positive.
If a car is coming towards you (reference point) then the same vector reverses direction and hence the velocity is negative.
What is negative acceleration?If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion. Thus, the acceleration of the object will be negative.
Thus, since the bicyclist is moving eastward, the velocity is east, also since he is slowing down the acceleration is west. The correct option "Velocity is east and acceleration is west".
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A bicycle tire contains 2.00L of gas at an absolute pressure of 7.00 x 10 5 N/m2 and temperatures
The final pressure of the tire will be 6.99 N/m²
The initial volume of tire = 2.00 L
The initial pressure of the tire = 7.00 × 10 5 N/m²
The initial temperature of the tire was 31 °C
P1V1 = P2V2
7.00 × 10 5 N/m² × V1 = 101325×100
V1 ⇒ 1.45×10^(-5) m³ = 1.45×10^(-2) L
Therefore new pressure = initial pressure - (pressure of released gas filling the entire 2 L)
The pressure of released gas filling the entire:
2 L = 2 L/(7.00 × 10^5 N/m² × 1.45×10^(-5) m³)
⇒ 1.197 ×10^(-4) N/m²
New pressure = 7.00 × 10^5 N/m² - 1.197 ×10^(-4) N/m²
⇒ 6.99 N/m²
Hence the New Pressure of the tire is 6.99 N/m²
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A box with a mass of 30kg accelerates at a rate of 3m/s. If the force of friction on the box is 20N, how much force did you exert in order to move it?
The force exerted in order to move the box is 404 N.
What is force?Force is a pull or push effect on a body.
The force on a body is related to the mass and the acceleration of the body.
The acceleration of a body is inversely related to the mass of of the body and directly related to the force acting on it.
Force = mass * acceleration.
Net force = Force applied - (weight of the body + frictional force)
Force applied = Net force + weight of the body + frictional force
Weight of the body = 30 * 9.8 m/s = 294 N
Net Force = 30 * 3 = 90 N
Force applied = 90 N + 294 N + 20 N
Force applied = 404 N
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A ball is given a brief push and then is allowed to roll up a ramp. It travels 51.1 cm up the ramp before stopping and rolling back down. It takes a total of 1.95 s to roll up and back down to its initial position. What is the magnitude of the acceleration of the ball while it is on the ramp?
The magnitude of the acceleration is 1.1 m/s^2.
What is the magnitude of the acceleration?Let us recall that the time that is taken to go up and to come down the ramp has been given as 1.95 s. It is also clear that the time that is taken to go up and to come down the ramp must be the same. This now means that if we consider the downward motion of the ball, the time taken = 1.95 s/2 = 0.975 s
Using the formula;
s = ut + 1/2at^2
u = 0 m/s because the ball cam to rest before moving down.
s = 1/2at^2
a = 2s/t^2
a = 2 * 0.511/(0.975)^2
a = 1.1 m/s^2
The magnitude of the acceleration is 1.1 m/s^2.
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A population that is industrialized is experiencing a drop in death rates. However, the birthrate remains high. Could it be undergoing the demographic transition? Explain.
a consistent drop in the death rate.
As nations grow more industrialized, the demographic transition depicts the change from high birth (fertility) and death rates to low birth (fertility) and death rates. Due to low levels of family planning and poor sanitation and medical care, fertility rates are high during the pre-industrial period of the demographic transition, and death rates are also high. During this time, the population does not increase. The death rate declines during the subsequent stage, known as the transitional period, as a result of advancements in sanitation and medical treatment, but fertility rates continue to be high. Currently, there are more births than deaths, which causes the population to grow quite quickly.
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Which can be excluded due to the absence of fossil records?(1 point)
Responses
a dinosaur's backbone
b. the shell of a snail
c. the shell of a crab
d.the body of a jellyfish
The body of a jellyfish can be excluded due to the absence of fossil records and is denoted as option D.
What is a Fossil?This is referred to as the remains of plants and animals which have been preserved in the earth crust and it is important as it helps to give more information about life history of different organisms.
Examples of fossils include bones, shells etc as they are the parts of the organism which are preserved and not doesn't decay. The body of a jellyfish will decay and not form a fossilized structure which is therefore the reason why option D was chosen.
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Which of the following settings describe a displacement vs time graph that looks like this
Answer:
Image result for Which of the following settings describe a displacement vs time graph that looks like this
Displacement time graph for rest is a straight line with zero slope. Displacement time graph for uniform motion is a straight line with non-zero slope. Displacement time graph for uniform acceleration is a parabola. The three scenarios are shown in the attached plot.
Explanation: