First we calculate the force.
F = 8 *3 * 6 i + 13 j = 144 i + 13 j
F = sqrt (144^2 + 13^2) = 144.59 N
Then calculate the displacement d.
d = sqrt (3^2 + 6^2) = 6.71 m
Work is the produce of force and displacement, therefore:
W = F d = 144.59 N * 6.71 m
W = 970 J
The work done by the force on the particle which moves first along the y-axis from the origin and then parallel to the x-axis is 970 J.
How to find work done?Work done is the force applied on a body to move it over a distance. Work done can be calculated with the following formula.
[tex]W=F\times d[/tex]
Here (F) is the magnitude of force and (d) is the distance traveled.
The particle moves first along the y axis from the origin to the point (0,6m) and then parallel to the x axis until it reaches (3m,6m).
The particle is subject to a force,
[tex]\vec F=cxy\hat i+d\hat j[/tex]
Here, c = 8.0 N/m2 and d = 13 N. The final point of the displacement of the particle is (3 m, 6 m).
Put the values of (x,y), c and d to find the value of force.
[tex]\vec F=(8)(3)(6)\hat i+(13)\hat j\\\vec F=144\hat i+13\hat j[/tex]
Solving this equation as,
[tex]F=\sqrt{(144)^2+(13)^2}\\F=144.59\rm\; N[/tex]
The initial position of the particle is at the origin (0, 0) and the final position of the particle is (3 m, 6 m). Thus, the displacement is,
[tex]d=\sqrt{(3-0)^2+(6-0)^2}\\d=6.71\rm\; m[/tex]
The work done will be,
[tex]W=144.59\times(6.71)\\W=970\rm\; J[/tex]
Hence, the work done by the force on the particle which moves first along the y-axis from the origin and then parallel to the x-axis is 970 J.
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Melinda enters college with plans to join the Peace Corps after graduation. She hopes to promote an end to discrimination against women. To what level of moral reasoning is she likely aspiring?
A jogger runs the first 1000 meters of a race in 250 seconds. What is the joggers speed
Answer:
The speed of the joggers is 4 m/s.
Explanation:
Given that,
Distance covered by the joggers, d = 1000 meters
Time taken by the joggers, t = 250 seconds
We need to find the joggers speed. It is given by :
[tex]v=\dfrac{d}{t}[/tex]
[tex]v=\dfrac{1000\ m}{250\ s}[/tex]
v = 4 m/s
So, the joggers speed is 4 m/s. Hence, this is the required solution.
If weight is a measure of an object's force due to gravity, what is the weight of a student who has a mass of 65 kg? (assume that the acceleration due to gravity equals 9.8 m/s2.)
The weight of the object with mass 65kg and acceleration due to gravity 9.8 m/s² is 637N.
What is Weight?
The weight (w) of an object is the product of its mass (m) in kilograms and the acceleration due to gravity, g in meters per second square. The weight of an object in physics is the force which is acting on the object due to the gravity of the planet. The SI unit of weight is newton (N).
The weight of the object is:
W = m × g
where, W = weight of the object,
m = mass of the object,
g = acceleration due to gravity,
m = 65 kg,
g = 9.8m/s²
W = 65 × 9.8
W = 637N
Therefore, the weight of the object is 637N.
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If the position of an object is zero at one instant, what is true about the velocity of that object?
If the position of an object is zero at one instant, then its acceleration must also be zero at the same location.
What is velocity and Acceleration?The velocity of an object is the pace at which its location or displacement changes over time. The vector quantity known as velocity has a direction determined by the force's direction.
There are various types of velocity :
Uniform VelocityNonuniform velocityInstantaneous velocityAverage Velocity.The rate at which an object's velocity changes with respect to time is known as acceleration. Vector quantities are used to measure accelerations.
Velocity is the ratio of displacement to time similarly acceleration is the ratio of change in velocity to time so, if velocity of an object is zero then its acceleration also must be zero.
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A ball is thrown straight up from the ground with an unknown velocity. It reaches its highest point after 3.5 s. With what velocity did it leave the ground?
Answer:
0.295 m
Explanation:
Velocity of the wave= 1.3Kms-1= 1300ms-1
Frequency of the wave= 4.4MHz= 4400Hz
From
Velocity= wavelength × frequency
Wavelength= velocity/frequency
= 1300/4400
=0.295 m
hope this helps :)
An object has a mass of 20 g and a volume of 5 cm3. what is the object's density? 4 g/cm3 100 g/cm3 0.25 g/cm3
How did advances in technology open the way for world exploration?
A cyclist start at rest and accelerate at 0.5m/s square south for 20 s .what is the cyclists final velocity?
If a cyclist starts at rest and accelerates at 0.5 m/s² south for 20 seconds, then the final velocity of the cyclist would be 10 meters/second.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
As given in the problem if a cyclist starts at rest and accelerates at 0.5 meters / second² south for 20 seconds,
By using newton's first equation of the motion for the first car.
v = u +at
v = 0 + 0.5 ×20
v = 10 meters / second
Thus, the final velocity of the cyclist would be 10 meters/second.
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How do the base pairing rules relate to chargaff's rule?
Final answer:
Chargaff's rule, which states that in DNA, the amount of adenine equals thymine and guanine equals cytosine, directly supports the base pairing rules necessary for DNA's double helix structure and its replication.
Explanation:
The base pairing rules and Chargaff's rule are intimately connected in explaining the structure and function of DNA. Erwin Chargaff discovered that in any given DNA molecule, the amount of adenine (A) is approximately equal to thymine (T), and the amount of guanine (G) is approximately equal to cytosine (C). This observation is now known as Chargaff's rule. It was a pivotal finding that helped James Watson and Francis Crick determine the double helix structure of DNA.
They uncovered that A pairs with T through two hydrogen bonds, and G pairs with C through three hydrogen bonds, adhering to the base pairing rules. This complementary base pairing ensures that DNA can replicate and transfer genetic information accurately.
Anaerobic means “without oxygen”.
Question 1 options:
True
False
You run 100 meters in 15 seconds. What is your speed in m/s?
The U.S. Integrated Ocean Observing System (IOOS) is best described as _______.
a.
a public and private partnership to increase understanding of the oceans
b.
a program to improve ocean safety
c.
a partnership aimed at protecting the environment
d.
all of the above
Option D i.e All the above is the correct answer.
The U.S. Integrated Ocean Observing System (IOOS) is an organisation which increases understanding of the oceans, coasts and the Great Lakes. It is a program to improve ocean safety, protect the environment and increase economic benefits from oceans etc.
The pressure in a fluid is affected by which characteristic of that fluid?
A. The weight of the fluid
B. The gravity of fluid
C. The amount of oxygen atoms in the fluid
D. The amount of hydrogen atoms in the fluid
Answer:
A. The weight of the fluid
What happens to the electronegativity of elements as you move from bottom left to upper right across the periodic table?
Answer:
increases
Explanation:
Leo placed two Circles of paper and a petri dish (something used for bacteria ) one Circle of paper was soaked in penicillin the other had nothing on it. He poured a liquid filled with bacteria into the Petri dish both Circles of paper were placed in The Petri dish about 3 cm apart at the end of the experiment a circle with a radius of 2 centimeters formed around the circle of paper soaked in penicillin there where no bacteria growing in the two centimeter Circle nothing had occurred around the other circle of paper the Victoria were going well.
a. what was the Dependant variable ?
b. what was the Dependant variable ?
c. what was the control group?
d. was there a controlled variable?
e. if yes, explain
Answer:
The independent variable is the variable in the experiment which can be manipulated or changed in an experiment, the effect of such change can be observed on the dependent variable. The dependent variable is the one which cannot be manipulated in the experiment and changes occurring in the dependent variable is because of affect of the changes in the independent variable. The control group is the group of the experimental study that does not receive treatment by the researchers. A control variable is the variable which remains constant and does not change in the experiment.
a. The dependent variable is the growth of bacteria.
b. The independent variable is the penicillin.
c. The control group is the paper circle which is not treated with penicillin.
d. The controlled variable is the paper not treated with penicillin.
e. The growth of bacteria is the dependent variable because it dependents upon the absence or presence of the penicillin. In the paper circle that lacks the penicillin shows the growth of bacteria and the paper circle socked with penicillin the growth of bacteria does not occur because it is an antibiotic which kills bacteria.
The penicillin is the independent variable because the effect of this can be observed on bacterial growth.
A 36,287 kg truck has a momentum of 907,175 kg • . What is the truck’s velocity?
In an experiment, you find the mass of a cart to be 250 grams. What is the mass of the cart in kilograms?
In an experiment, you find the mass of a cart to be 250 grams, then the mass of the cart in kilograms would be 0.25 kilograms.
What is a unit of measurement?A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.
Any additional quantity of that type can be stated as a multiple of the measurement unit.
As given in the problem experiment, you find the mass of a cart to be 250 grams, then you have to convert its value into kilograms,
1000 grams = 1 kilogram
1 gram = 1/1000 kilograms
250 grams = 250/1000 kilograms
= 0.25 kilograms
Thus, the mass of the cart in kilograms would be 0.25 kilograms
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A truck driver is attempting to deliver some furniture. First, he travels 8 km East, and then he turns around and travels 3 km West. Finally, he turns again and travels 13 km to his destination. What distance has the driver traveled?
The truck driver traveled a total distance of 18 km.
Explanation:The truck driver traveled a total distance of 18 km.
To calculate the distance traveled by the truck driver, we need to add up the distances traveled in each direction.
First, the driver traveled 8 km East. Then, he traveled 3 km West. Finally, he traveled 13 km to his destination.
Therefore, the total distance traveled by the truck driver is 8 km + 3 km + 13 km = 18 km.
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Which force puts an object into free fall?
Answer:
Gravity
Explanation:
When we say that object is in free fall then it always means that the object will move under the influence of gravitational force only
So here we can say that
under free fall condition the force on the object is given as
[tex]F = mg[/tex]
so the acceleration of free fall is always constant and given as
[tex]a = \frac{F}{m}[/tex]
[tex]a = \frac{mg}{m}[/tex]
[tex]a = g[/tex]
so correct answer is
Gravity
Which wind system helped early sailors navigate earth's oceans?
A scuba diver's tank contains 0.240 kg of o2 compressed into a volume of 3.10 l. what volume (in liters) would this oxygen occupy at 27.0 ºc and 0.910 atm?
An object with mass m is located halfway between an object of mass m and an object of mass 3m that are separated by a distance
d. what is the magnitude of the force on the object with mass m?
When a tennis ball is dropped onto a tennis court from a height of h the ball rebounds to a height of 3 5 h feet. if the ball is initially dropped from a height of 10 feet, find the total distance traveled by the ball before it finally comes to rest?
The total distance traveled by the ball before it finally comes to rest will be 50 m.
What is the distance?Distance is a numerical representation of the distance between two objects or locations.
The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
The first drop makes the ball travel 10 m.
Then the maximum height decreases to 16 x 0.81 = 12.96m
If we make a pattern, this forms a geometric progression in which the common ratio is 0.6 and the first term is 10.
The sum of this series will be;
[tex]\rm \sum d= \frac{a}{1-r} \\\\ \sum d= \frac{10}{1-0.6} \\\\ \sum d= 25 m[/tex]
This is the upward height, and the ball returns every time so:
Total distance = 25 x 2= 50
Hence the total distance traveled by the ball before it finally comes to rest will be 50 m.
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The total distance a tennis ball travels before coming to rest after being dropped from 10 feet and rebounding to 3/5 of its previous height is 25 feet, calculated using the sum of an infinite geometric series.
When a tennis ball is dropped from a height, it bounces back but doesn't reach the original height due to energy loss. For a tennis ball dropped from 10 feet and rebounding to 3/5 of the height, the pattern of the ball's motion forms a geometric sequence with the common ratio being the fraction of the height to which it rebounds. Here, that ratio is 3/5.
The total distance traveled would be sum of all descents and ascents. The first descent is 10 feet, and the first ascent is 3/5 of that, which is 6 feet. The ball would continue to rise and fall, with each height being 3/5 of the one before it.
Using the formula for the sum of an infinite geometric series S = a/(1 - r), where a is the first term and r is the common ratio, the total distance traveled can be calculated. For this problem, a is 10 feet and r is 3/5. Thus, the sum S representing the total distance before coming to rest is:
S = 10 / (1 - 3/5) = 10 / (2/5) = 25 feet.
Therefore, the total distance the ball travels before it comes to rest is 25 feet.
When brought to the surface of the moon will a mass have more or less weight than it did on the surface of the earth, or will it be the same in weight?
The mass will stay the same, however it will weigh less because the moon's acceleration of gravity is less than the suns.
I hope this helps you.
A car accelerates from rest to a speed of 8 m/s over a distance of 16 m. What is the acceleration of the car?
A.-10 m/s2
B.-2 m/s2
C. 2 m/s2
D.no acceleration, v = 8 m/s
The acceleration of the car is 2 m/s². Hence, option (C) is correct answer.
What is acceleration?Acceleration is the rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.
Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
Given parameters:
Initial speed pf the car: u = 0 m/s.
Final speed of the car: v = 8 m/s.
Distance travelled: s = 16 m.
We have to find: the acceleration of the car: a = ?
Now, from v² = u² + 2as equation, we can write:
8²= 0² + 2×a×16
a = 2 m/s²
Hence, The acceleration of the car is 2 m/s² & option (C) is correct answer.
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In an overhead camshaft engine, the lobes make direct contact with the
A. valve springs. B. rocker arms. C. valve guides. D. tappets.
Answer: B. Rocker arms
Explanation: In an overhead camshaft (OHC) engine,
the camshaft, rocker arms, valve springs, and valves are all
located in the cylinder head. The camshaft is driven off the
crankshaft by using a timing chain. The lobes press directly
up onto rocker arms, and the rocker arms push down on the
valves to open them
Which factors affect the electrical force between two objects?
mass and distance between them
charge and distance between them
mass and electric field strength
charge and mass
Explanation :
The force that exerts between two charged particles is called the electrical force. Coulomb has given the whole description of the electrical force.
He has given a law which states that the electrical force between two charged particle is directly proportional to the product of their charges and inversely proportional to the square of the distance between.
Mathematically, it can be written as :
[tex]F=\dfrac{1}{4\pi \epsilon_o}\dfrac{q_1q_2}{r^2}[/tex]
Where
q₁ and q₂ are the charges
r is the distance between charges
[tex]\dfrac{1}{4\pi \epsilon_o}[/tex] is the electrostatic constant
So, it is clear that the electrical force between two objects depends on charges and the distance between them.
Hence, the correct option is (b) " charge and distance between them ".
The charge and distance between two objects affect the electrical force between them.
The term 'electric force' refers to the attractive or repulsive forces between two electrically charged objects.An attractive force occurs when charges (i.e., protons and electrons) attract one another, whereas a repulsive force occurs charges repel each other.The attractive/repulsive forces between two objects are directly proportional to the distance between them.In conclusion, the charge and distance between two objects affect the electrical force between them.
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The mass of an object is independent of its location
a. True
b. False
A ball is thrown straight upward. When it has reached the highest point in its motion, and is momentarily stopped, its acceleration is
"The correct answer is that the ball's acceleration at the highest point in its motion is due to gravity.
When a ball is thrown straight upward, it slows down as it rises due to the acceleration due to gravity, which acts downward. At the highest point in its trajectory, the ball comes to a temporary stop before it starts to fall back down. At this instant, the velocity of the ball is zero, but the acceleration due to gravity is still acting on the ball.
The acceleration of an object in free fall, which includes a ball thrown upward, is constant and is equal to the acceleration due to gravity (g). Near the surface of the Earth, the acceleration due to gravity is approximately [tex]\( g = 9.81 \, \text{m/s}^2 \)[/tex]downward. This value is independent of the mass of the object and remains constant regardless of the object's position or velocity.
Therefore, even though the ball's velocity is zero at the highest point, it is still experiencing an acceleration of [tex]\( 9.81 \, \text{m/s}^2 \)[/tex] downward, which is the acceleration due to gravity. This is why the ball will start to fall back down to Earth after reaching its peak height."
What social science, which deals with the behavior and thinking of organisms, differs from sociology primarily in that it focuses on individual behavior rather than on group behavior?
Answer : The correct answer is- Psychology.
As per the American Psychological Association, psychology can be described as the scientific study of mind and behavior of a particular individual.
There are primarily four goals of psychology that are to describe, to explain, to predict, and to control the mental processes as well behavior of a person.
On the contrary, sociology focuses on behaviour of group of individuals. It is the study of structure, function as well as development of society.
Thus, psychology is the right answer to the question.