Answer:
Explanation:
Because velocity has both magnitude and direction, it is called a vector quantity; acceleration is also a vector quantity and must account for changes in both the magnitude and direction of a velocity.
Galileo carried out his seminal free-fall experiment using an inclined plane. Why is such an approach feasible, and some-
times preferable to the simple drop method, for determining g?
For determining g (gravity), seminal free-fall experiment using inclined plane is preferable to the simple drop method because in simple drop method there is resistance caused by air on the falling object whereas on the seminal free-fall method using inclined plane air resistance has little to no effect.
Galileo was an Italian scientist who combined theory with experiment. He was very much interested in understanding the movement and falling of objects.
Objects when falling down would accelerate quickly i.e., let’s take an object falling at the speed of x, after time t it would travel at 2x, after 2t it would be 4x. Therefore, it is difficult to time with accuracy. Thus, inclined plane would help to dilute the effects of gravitational force and reduce the time.
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A pet store surveyed 625 people to see how many own a bird, how many own a dog, and how many own a cat.
The Venn diagram below shows the results. (Each number gives the number of people who fall into that Venn diagram category.)
All people in the survey-
Own a
bird
Own a
dog
115
103
49
138
61
33
34
Own a
cat
92
(a) How many of the people own exactly two of the three types of animals?
people
(b) How many of the people don't own a dog?
people
(c) How many of the people own neither a cat nor a bird, but do own a dog?
people.
The people who own all the three animals are 33 , (b) People who don't own a dog are 244 and (c) People who neither own a cat nor a bird but own a dog are 34 in number.
What is a Venn diagram?A Venn diagram is a representation of data in terms of figure. Where each circle represents a set of data, intersection of two or more circles shows that there is a common entity in both the sets.
What is a universal set in Venn diagram?A universal set contains all the possible elements. In Venn diagram a universal set is represented by a rectangle.
Given:
Total number of the people surveyed = 625
People who one a cat = 115
People who own a bird = 103
People who own a dog = 34
1) To find the number of people who own all the three animals we will have to find the intersection of C, B and D.
Where,
C represents set of cat
B represents set of bird
D represents set of dog
// Represents intersection
:: Represents union
From the given data
C//B//D = 33
i.e. people who own all the three animals = 33
2) People who don't own a dog.
Now carefully look at the given diagram you will notice:
34 own D only
138 own D and C
92 own D and B
33 own all the three
Now to find who doesn't own a dog we will find who owns a dog and then minus that from total people who owns animals.
Total people who own an animal= (115+103+34+138+61+92-2×33)
Total people who own an animal = 475
Now people who own a dog = 34+138+92-33
People who own a dog = 231
People who don't own a dog = 475-231
People who don't own a dog = 244
3) People who neither own a cat nor a bird but own a dog = 34
Therefore, the people who own all the three animals are 33 , People who don't own a dog are 244 and People who neither own a cat nor a bird but own a dog are 34 in number.
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A car crash gives out great force. These are reasons for the great force EXCEPT:
A- high car speed
B- a long time to stop
C huge car weight
D- huge deceleration
a bus is about to leave in exactly 5 seconds. you are 20 meters away. how fast do you need to run to get to the bus? give your answer in m/s. round 2 significant figures
A bus is about to leave in exactly 5 seconds. You are 20 meters away. With a speed of 4 m/sec you will be able to catch the bus on time.
What do you understand by the term Distance, Speed and Time?By dividing the distance traveled by the time required to complete that distance, speed is calculated. For a specific distance, it provides the travel time / distance.
Speed and distance are tightly related, whereas time and distance have an inverse relationship. Speed times the passing of time equals distance.
Distance divided by speed is how time is calculated; as speed rises, time slows down, and vice versa.
What is the calculation for the above problem?Given
Time = 5 secs
Distance = 20 m
On putting the values in the given formula we get,
Speed = Distance / Time
Speed = 20 m / 5 secs
Speed = 4 m/secs
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What is the equation for velocity?
Velocity = distance + time
Velocity = distance / time
Velkocity = distnace - time
Velocity = distance * time
Answer:
The equation for velocity is: Velocity = distance / time. Velocity is a measure of the speed at which an object moves in a specific direction. The equation for velocity states that the velocity of an object is equal to the distance it travels divided by the time it takes to travel that distance. This equation can be used to calculate the velocity of an object if the distance it travels and the time it takes to travel that distance are known.
Explanation:
why does the acceleration due to gravity have to be measured in an airless tube?
It is measured in the airless tube because there is no air to offer resistance to the fall of the object.
What is the acceleration due to gravity?The acceleration due to gravity refers to the acceleration that is imparted to a body because of its movement in the earth's gravitational field. Irrespective of mass, all objects move with the same acceleration in the earth gravitational field.
If air is present, air resistance makes it appear as if different masses are accelerated to different amounts. Thus, the acceleration due to gravity is measured in an airless tube the where there is no air to offer resistance to the fall of the object.
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what is kineamatics (60 words)
Kinematics is the study of motion of an object without considering the forces that caused the object to move.
Kinematics is a branch of mechanics, which is used to study about mechanical bodies or mechanical systems without the reference of the body's/system's physical properties or the forces acting on it.
Kinematics models different motion mathematically with the help of algebra. Therefore, it is referred as geometry of motion. The modelling is done to calculate the various factors of motion such as speed, acceleration etc.
Therefore, Kinematics is the study of motion of an object without considering the forces that caused the object to move.
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Which unit is not a unit of velocity
Answer:
m/s^2
Explanation:
m/s^2 is a unit of acceleration.
1. What if the acceleration of an object is equal to zero? Acceleration is still a constant, but it just happens to be zero. In this special case, what are the equations of motion?
Answer: zero acceleration is zero acceleration, not constant acceleration.
Explanation:
If a small motor does 200 J of work to move a toy car 40 m, what force does it exert?
The force exerted during a work of 200 J done to move a toy car 40 m is 5 N
W = F * d
W = Work done
F = Force
d = Distance
W = 200 J
d = 40 m
F = W / d
F = 200 / 40
F = 5 N
The force exerted to move an object is work done. It is denoted as W. Its unit is Joules.
Therefore, the force exerted is 5 N
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What element has 31 neutrons and is in group 10
Answer:
Nickel is the correct answer here.
A student performed a sphere drop experiment. The sphere was dropped from 1.50 m above the ground and the sphere has
a mass of 0.875 kg. Free fall times for the student's experiments are below.
a. Before the student calculates the acceleration due to gravity from the data, are there any trials that should be thrown
out? Justify your choice.
The experimental value of the expression due to gravity through the experiment will come out to be 7.8 u, the error in the value has Accord because of air friction.
What is Newton's law of motion?Newton gave three laws of motion which can be utilised to find the velocity, acceleration and displacement of a body. These laws are only applicable for constant acceleration.
What is free fall?When a body falls freely under only the force of gravitation due to the earth and no other force act on the body is known as free fall.
Given:
Mass of the sphere is 0.875 kg
Height of the free fall is 1.5 metre
Experiments are conducted in the following manner:
First the bob will be released and from the point that it is being released we will measure the distance using the inch tape we will also calculate the time it takes for the bob to hit the ground.Using the speedometer will measure the final velocity before it is the ground.Now using Newton's first law of motion we can derive the acceleration due to gravity we know the final velocity using the speedometer the distance it has covered and the time it has taken to complete that distance.Using Newton's first law of motion
i.e. v = u + a × t
Where,
u is initial velocity
v is final velocity
a is acceleration due to gravity
t is time taken to cover distance
From the data given v = 15.6 m/s
t is 2 seconds
Substituting value in Newton's first law of motion we get
Value of acceleration due to the gravity = 7.8u
Therefore, The experimental value of the expression due to gravity through the experiment will come out to be 7.8 u , the error in the value has Accord because of air friction.
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Can anyone solve this problem?
The question has two parts
beginning with part 1:
R1 and R2 are in series
R3 and R4 are in series with each other
R5 and R6 are in series with each other
R3 and R4 are parallel to R5 and R6
it is given that R1=R2=R3=R4 =2 Ohm
R5=R7=1 Ohm
R6 = 3ohm
We know that resistance is the sum of resistances in series and reciprocal sum of resistances in parallel
R1+R2=2+2=4 ohm
R3+R4 = 2+2 = 4ohm
R5+R6 =1+3=4Ohm
R3 and R4 and R5 and r6 are in parallel = 4 x 4/4+4 = 16/8 = 2 ohm
Resultant resistance = 4 + 2 +1 =7 phms
In part 2 of the question,
R1=R7=2 ohm
R2=R3=R6 =1 ohm
R4=R5=3 ohm
R2,R3 are in series, R5 and R6 are in series
R2,R3 AND R4 and R5 ,R6 in parallel
R2+R3 = 1+1 =2 ohm
R5 +R6 = 3+1 =4 ohm
R2,R3 AND R4 and R5 ,R6 in parallel= 1/(1/2+1/4+1/3 )=v 1/(6+3+4)/12
=12/13
Resultant resistance = 2+2+12/13 =4.93 ohm
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a Think of a behavior that you have that you would like to change. How could
behavior modification, specifically positive reinforcement, to change
your behavior? What is
your positive reinforcer?
A part of me which I would love to change is over trusting people around me.
Behavior modification, particularly that of positive reinforcement can help anyone to shift balance by learning to control what stimulates the character.My positive drive which may likely repeat my old behavior is my hyperemmotionality Changing ones behavior through positive reinforcementIt happens that there is always a solution to every problem as long one one is willing to make an ammend. I as as person have been hurt many countless times by friends which I am giving my possible best to withdraw from over trusting someone who will later hurt me.
I have been able to modify this by making sure I am not too emotional on anything, keeping my words to myself and revealing my weaknesses to anyone.
So therefore, behavioral modification is very important to every individual who has a character that needs to be changed.
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Create a series of eight successive displacements that would program a robot to move in an octagonal path that is as close as you can get to approximating a circle. The robot should return to its starting point after the eighth displacement. What total distance does the robot move? Calculate the radius of the circle that has this distance as its circumference.
Answer:
Ex; If the robot traveled 20 cm around the octagon then the circle circumference = 20 cm
Use the equation circumference = 2 π radius to calculate radius(C = 2πr)
If circumference = 20cm; radius = circumference / ( 2 π) = 20/6.28= 3.18 cm. Use your scale to express your answer in meters, km, etc
now set the protractor distance measure as 3.18 cm, place the protractor's metal spike at the octagon center and draw the circle.
Explanation:
A car initially has a velocity of 29 m/s starts to increase its velocity at a constant rate of 2.4 m/s2, for a distance of 22 m. What is its final velocity?
Answer:
vf=43.55m/s
Explanation:
Data:
vi=29m/s
S=22m
a=2.4 m/s^2
vf=? we are supposed to find final velocity.
we will use following equation of motion:
Formula:
[tex]2as=vf^{2} -vi^{2}[/tex]
put values
[tex]2(2.4)(22)=vf^2-(29)^2\\[/tex]
solving for [tex]vf^2[/tex].
taking [tex](29)^2[/tex] on the other side .
[tex]vf^2=2(2.4)(22)+(29)^2[/tex]
solve square first.
[tex]vf^2=2(24)(22)+841[/tex]
multiply the terms.
[tex]vf^2=1056+841[/tex]
add the terms
[tex]vf^2=1897[/tex]
taking square root on both sides.
[tex]\sqrt{vf^2}=\sqrt{1897}[/tex]
square root of [tex]vf^2[/tex] will be cancelled out .
[tex]vf=43.55m/s[/tex]
A tumbleweed tumbles over an empty plain with a speed of 16.3 meters per minute for 2.3 minutes. How far would it have traveled?
If a tumbleweed tumbles over an empty plain with a speed of 16.3 meters per minute for 2.3 minutes, then it would have traveled 37.49 meters
What is speed?The total distance covered by any object per unit of time is known as speed.
It depends only on the magnitude of the moving object.
As given in the problem a tumbleweed tumbles over an empty plain with a speed of 16.3 meters per minute for 2.3 minutes.
The distance traveled by the tumbleweed = speed ×time
= 16.3 meters/minute×minutes
=37.49 meters
Thus, the distance traveled would be 37.49 meters.
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In school, Jarrett learned that salt lowers the freezing point of water. He wants to test this in a home experiment. He combines 1.0 grams of salt and 500 milliliters of water in a container. In an identical container, he pours 500 milliliters of water and does not add salt to it.
What should Jarrett do next?
A.
Place the salt water in a freezer and the pure water in a refrigerator.
B.
Mix the two samples of water together in a 1.0-liter container, and bring them to a boil on a stove.
C.
Place both containers in a freezer, and record the temperatures at which they begin to freeze.
D.
Place the pure water in a freezer and the salt water in a refrigerator.
Answer:
I think it's C but I'm not 100% sure
What are the internal resistance and voltage rating of a 420 Watt automatic washing machine that draws 1.75 Ampere?
The internal resistance of the washing machine is 137.14 Ω.
What is internal resistance?Internal resistance is the inherent resistance of a conductor.
To calculate the internal resistance of the washing machine, we use the formula below.
Formula:
P = I²R................... Equation 1Where:
P = Power of the washing machineI = CurrentR = Internal Resistance of the washing machine.Make R the subject of the equation
R = P/I²................ Equation 2From the question,
Given:
I = 420 WR = 1.75 ASubstitute the these values into equation 2
R = 420/1.75²R = 137.14 ΩHence, the internal resistance of the washing machine is 137.14 Ω.
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The position-time equation of motion for a bunny hopping across
a yard is
x = 8.3 m+ (2.2 m/s)t
What is the initial position of the bunny?
Answer:
8.3 m
Explanation:
The initial position of the bunny is at time t = 0
x = 8.3 + 2.2 (0) = 8.3 m
The initial position of a bunny hopping across a yard is 8.3 meters.
What is the position?It is the location of the object in relation to time, when the object starts moving it is changing its position in relation to time. When the position of an object keeps changing then the displacement of an object can be calculated as the reference point is necessary to calculate the position, and it also shows the direction, therefore, it is a vector quantity. The graph of position and time gives us the velocity of the object.
Given: The position time equation of the object;
x = 8.3 + 2.2 t (x is the distance / position, t is time in seconds)
so for the initial position, time will be zero (t = 0);
Therefore, at t = 0 the position will be;
x = 8.3 + 2.2 ×0
x = 8.3 meters
Hence, the initial position of the bunny hopping across a yard is 8.3 meters.
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An electric field of 8.5x105 V/m is desired between two parallel
plates, each of area 45 cm7 and separated by 2.45mm of air. What
charge must be on each plate?
The charge that must be on each plate is 3.53 x 10⁻⁸ C.
Electric field between two parallel platesThe electric field between two parallel plates is given as;
C = εA/d
C = Q/V
V = Ed
C = Q/Ed
Q/Ed = εA/d
Q/E = εA
Q = εEA
where;
ε is permittivity of free spaceE is electric field strengthA is the area of the plateQ is the chargeQ = (8.85 x 10⁻¹² x 8.85 x 10⁵ x 45 x 10⁻⁴)
Q = 3.53 x 10⁻⁸ C
Thus, the charge that must be on each plate is 3.53 x 10⁻⁸ C.
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please help:((( If you run 60 m in 7 seconds, then run 25 m in 4 seconds, what is your average speed for the entire run?
Answer:22m
Explanation:
A car going initially with a velocity 13.5 m/s accelerates at a rate of 1.9 m/s2 for 6.2 s. It then accelerates at a rate of minus2.5 m/s2 until it stops. What is the total time from the start of the first acceleration until the car is stopped? (Write your answer to two decimal places and do not write unit)
The total time from the start of the first acceleration until the car is stopped is 16.31 s
What is acceleration?This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
a is the acceleration v is the final velocity u is the initial velocity t is the time How to determine the final velocity in the first 6.2 s Initial velocity (u) = 13.5 m/sAcceleration (a) = 1.9 m/s²Time (t) = 6.2 s Final velocity (v) = ?a = (v – u) / t
1.9 = (v – 13.5) / 6.2
Cross multiply
v – 13.5 = 1.9 × 6.2
v – 13.5 = 11.78
Collect like terms
v = 11.78 + 13.5
v = 25.28 m/s
How to determine the time to stop the car Initial velocity (u) = 25.28 m/sFinal velocity (v) = 0 m/sAcceleration (a) = -2.5 m/s² Time (t) =?a = (v – u) / t
Thus,
t = (v – u) / a
t = (0 – 25.28) / –2.5
t = 10.112 s
How to determine the total timeTime for the the first acceleration = 6.2 sTime to stop the car = 10.112 sTotal time =?Total time = 6.2 + 10.112
Total time = 16.31 s
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We desire to make an LC circuit that oscillates at 100 Hz using an
inductance of
2.5H. We also need a capacitance of
The capacitance needed in the LC circuit is 1 μF.
Capacitance needed to make the LC circuitThe capacitance needed to make the LC circuit is calculated as follows;
capacitive reactance = inductive reactance
Xc = Xl
1/2πfC = 2πfL
2πfC(2πfL) = 1
4π²f²LC = 1
LC = 1/4π²f²
C = 1/(4π²f²L)
where;
L is the inductancef is the frequencyC is the capacitanceSubstitute the given parameter and solve for the capacitance as follows;
C = (1)/(4π² x 100² x 2.5)
C = 1.01 x 10⁻⁶ F
C ≈ 1 μF
Thus, the capacitance needed in the LC circuit is 1 μF.
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A police radar's effective range is 0.90 km , and your radar detector's range is 1.9 km . You're going 110 km/h in a 70 km/h zone when the radar detector beeps. At what rate must you negatively accelerate to avoid a speeding ticket?
Negative acceleration of 0.2 m/s^2 is needed to avoid a speeding ticket.
Negative acceleration occurs when a force causes a body's velocity to decrease. Positive acceleration occurs when the speed of something rises.
The acceleration of a slowing object is in the direction opposite from the velocity. As a result, this item is said to have negative acceleration.
Given:
Initial velocity, u = 110km/h
Final velocity, v = 70km/h
Police radar's effective range, S1 = 0.90km
Radar detector's range, S2 = 1.9km
To find:
Negative acceleration, a = ?
Formula:
v^2 = u^2 + 2aS
Calculation:
a = (v^2 – u^2) / 2(S1 - S2)
a = 70^2 – 110^2/ 2 x (0.9 – 1.9)
a = [(4900 – 12100) / (2 x -1)] / 3600^2
a = 0.2 m/s^2
Result:
0.2m/s^2 negative acceleration is required to avoid a speeding ticket.
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gina wants to find out if the temperature of water affects the solubility of a material. here are the variables in her experiment. she get three containers of equal size and labelled them A, B and C. then pour 50ml of hot water in container A, 50ml of lukewarm water in container B, and 50ml of cold water in container C, she then pour 1 teaspoon of salt in each container and stir it fo three minutes. then observes the result
The temperature of water affects the solubility of material the ability of a material, the solute, to combine with another substance, the solvent, is known as solubility in chemistry.
The contrary is appropriate for insoluble except in extremely rare circumstances, a solid or liquid cannot be "dissolved" in gas without first becoming gaseous composition of the solute and solvent, including their pH and the presence of other dissolved substances, as well as temperature and pressure, are the key determinants of solubility. The dependence is frequently explicable in terms of interactions between the atoms, molecules, or ions of the two substances as well as in terms of thermodynamic notions like enthalpy and entropy.
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A cheetah can accelerate from rest to a speed of 30m/s in 7.0s . What is its acceleration?
The acceleration of the cheetah is 4.29 m/s².
What is acceleration?Acceleration can be defined as the rate of change of velocity.
To calculate the acceleration of theb cheetah, we use the formula below.
Formula:
a = (v-u)/t........... Equation 1Where:
a = Acceleration of the cheetahv = Final velocity of the cheetahu = Initial velocity of the cheetaht = time.From the question,
Given:
v = 30 m/su = 0 m/s (from rest)t = 7.0 sSubstitute these values into equation 1
a = (30-0)/7a = 4.29 m/s²Hence, the acceleration of the cheetah is 4.29 m/s².
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Claudia is performing an experiment, testing to see if decreasing the temperature in which pea plants are growing makes them flower sooner. In this experiment, what are some values that Claudia will want to hold constant. (Choose all that apply)
a.which day the plants begin to flower
b.the amount of light the plants get
c.the temperature the plants are grown in
d.the type and amount of fertilizer used
e.the amount of water the plants get
Claudia is performing an experiment, testing to see if decreasing the temperature in which pea plants are growing makes them flower sooner which means that some values that Claudia will want to hold constant include the following below:
b.the amount of light the plants get.
d.the type and amount of fertilizer used.
e.the amount of water the plants get.
What is an Experiment?This refers to a procedure which is carried out by scientists in other to support or refute a hypothesis and is usually done in the laboratory. It is also used to ascertain the authenticity of a claim and consists of two types of variables which are constant and control variables.
The constant variables doesn't change and is applied uniformly to all the specimens. In this scenario they include the amount of light, fertilizer and water the plants gets.
Controlled variables are the ones which are changed and its varied application on different specimens are used to measure the effect and in this case an example is the temperature the plants are grown in because the test involves this parameter.
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Question) A convex mirror has a radius of curvature of 28.4 cm. If you hold a 16-cm-long pencil 23.5 cm in front of the mirror, what will the image position and image height be?
I know the answer but I need the steps could anyone please help me asap?
Answer
di = -8.85 cm; hi = 6.0 cm
The distance of the image formed is -8.85 cm and the height of the image is 6.02 cm.
Image distanceThe position of the image formed is calculated as follows;
-1/f = 1/v + 1/u
where;
f is the focal length = r/2 = 28.4 cm /2 = 14.2 cmu is object distance = 23.5 cmv is the image distance1/v = -1/f - 1/u
1/v = -/14.2 - 1/23.5
1/v = -0.112975
v = -1/0.112975
v = -8.85 cm
Height of image formedThe height of the image formed is calculated as follows.
Use magnification equation;
image distance/object distance = image height / object height
v/u = hi/h0
8.85/23.5 = hi/16
hi = (8.85/23.5) x 16
hi = 6.02 cm
Thus, the distance of the image formed is -8.85 cm and the height of the image is 6.02 cm.
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What does a coat do?
O Coats speed up heat transfer.
O Coats make people cooler.
O Coats slow heat transfer.
O Coats make people warmer.
Answer: Coats make people warmer.
Explanation: Coats help keep us warm due to the fillings inside the materials.
