A gnat takes off from one end of a pencil and flies around erratically for 40.140.1 s before landing on the other end of the same pencil. If the gnat flew a total distance of 3.153.15 m, and the pencil is 0.04130.0413 m long, find the gnat's average speed and the magnitude of the gnat's average velocity.
Answers
The magnitude of the average velocity is the same as the average speed, which is 0.07855 m/s.The gnat's average speed and the magnitude of the gnat's average velocity can be calculated using the given values as shown below:
Given dataDistance = 3.15 mTime taken = 40.1 sPencil length = 0.0413 m
CalculationsAverage speed can be calculated using the formula:$$\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}$$Substituting the given values,
we get;$$\text{Average speed}=\frac{3.15}{40.1}=0.07855\text{ m/s}$$Therefore, the gnat's average speed is 0.07855 m/s.
Magnitude of average velocity can be calculated using the formula:$$\text{Magnitude of average velocity}=\frac{\text{Total distance}}{\text{Total time}}$$However, we must first calculate the displacement.
The displacement of the gnat is the straight-line distance between its starting and ending points.
It is given by the formula:$$\text{Displacement}=\sqrt{(\text{Final position})^2-(\text{Initial position})^2}$$Substituting the given values
, we get;$$\text{Displacement}=\sqrt{(3.15+0.0413)^2-(0.0413)^2}=3.15\text{ m}$$
The average velocity can be calculated as follows:$$\text{Average velocity}=\frac{\text{Displacement}}{\text{Total time}}$$Substituting the values,
we get;$$\text{Average velocity}=\frac{3.15}{40.1}=0.07855\text{ m/s}$$
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The gnat's average speed is 0.0785 m/s, while the magnitude of the gnat's average velocity is zero.
Average speed is the total distance traveled by an object divided by the total time taken. It is a scalar quantity, meaning it only considers the magnitude of the displacement and does not take into account the direction of motion.
Average velocity, on the other hand, takes into account both the magnitude and direction of motion. It is the displacement of an object divided by the total time taken. Displacement refers to the change in position from the initial point to the final point. Average velocity is a vector quantity because it includes both magnitude and direction.
To find the gnat's average speed and average velocity, we need to use the given information.
Given:
Total distance traveled by the gnat = 3.15 m
Time taken = 40.1 s
Length of the pencil = 0.0413 m
(a) Average speed:
Average speed is calculated by dividing the total distance traveled by the gnat by the total time taken:
Average speed = Total distance / Time taken
Average speed = 3.15 m / 40.1 s = 0.0785 m/s
Therefore, the gnat's average speed is 0.0785 m/s.
(b) Average velocity:
Average velocity is the displacement divided by the time taken. Displacement is the change in position from the initial point to the final point.
Since the gnat starts and ends on the same pencil, the displacement is zero. Therefore, the magnitude of the gnat's average velocity is also zero.
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Why is rust formed on iron
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Answer:20Hz to 20000Hz
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The curve that represents an isobaric process is the horizontal curve in the figure.
An isobaric process is a thermodynamic process that occurs at constant pressure. This means that the pressure of the system does not change during the process, and the horizontal curve in the figure represents a constant pressure.In contrast, a steep curve represents a rapid change in pressure, which indicates that the process is not isobaric. A less steep curve also indicates a change in pressure, albeit at a slower rate than a steep curve. Therefore, neither of these curves represents an isobaric process. Similarly, a very steep curve also represents a change in pressure that is not constant, and therefore, it does not represent an isobaric process.
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In order to reduce air pollution, a particular community identifies three possible
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• Solution 1: Being phasing in renewable sources of electricity generation, which
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• Solution 2: Encourage increased use of ride-sharing
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The community identified three constraints to help determine the best approach to
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Solution 3 meets Constraint C? You may select more than one. Hence option C is correct. Encourage people to raise thermostat settings in the summer and lower then in the winter
Constraint C, which calls for a solution that yields advantages quickly, is satisfied by Solution 3 ("Encourage people to raise thermostat settings in the summer and lower them in the winter"). The community can quickly cut down on energy use and the resulting air pollution by urging individuals to change their thermostat settings.
As it would take time to build new power plants and integrate renewable sources into the grid, Solution 1, "Phasing in renewable sources of electricity generation, which would involve building new types of power plants," is unlikely to have an immediate positive impact.
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When you put on the brakes of your bike, the wheels stop
turning. Then friction between the wheels and the road slows
your bike to a stop. Which type of friction is this?
a static friction
b sliding friction
ċ fluid friction
d rolling friction
7t?
Check it
Answers
Answer:
b
Explanation:
ibecause the wheels are sliding on the ground i think
A 20 kg rock is on the edge of a 100 meter cliff. What is the
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Answer:
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Can you create a single word problem that ask for multiple factors?
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Answer:
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Answers
Lamar's average velocity is 1 m/s
We know that,
Average Velocity = Total distance travelled / Total time taken
Given that,
Distance travelled west = 20 m
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A blue 1400 kg car travels from rest and accelerates at 3.8 m/s/s for 0.035 km. A red 1600 kg car approaches the blue car head-on at a constant speed of 9 m/s. Then they collide, make no noise, and bounce apart. After the collision, the blue car travels at 2 m/s in the opposite direction. What type of collision is this
Answers
Inelastic collision is a type of collision that occurs when two objects collide and stick together after the collision. In such a collision, kinetic energy is not conserved as some of the energy is lost as sound, heat, or deformation of the objects involved in the collision.
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We have to determine the type of collision that occurs between the two cars and it is given that they made no noise, therefore, the collision is inelastic collision. Therefore, this is an inelastic collision.
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Answer:
Explanation:
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Answer:
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Answer:
32 N
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Answer: Your question is missing below is the question
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= 0.159 mile ≈ 256 m
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This is the chemical formula for photosynthesis!
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C. The wavelength will be quadruple.
D. The wavelength will double.
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Answer:
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The output voltage of a 100.W ideal transformer is 12.0 V and the input current is 20.0 A.a) What is the input voltage?b) What is the output current?c) What kind of transformer is it? (step up or step down)
Answers
ANSWER:
a) 5 V
b) 8.33 A
c) step-up transformer
STEP-BY-STEP EXPLANATION:
a)
To calculate the input voltage it would be:
\(\begin{gathered} V_{\text{ in}}=\frac{P}{I} \\ V_{\text{ in}}=\frac{100}{20}=5\text{ V} \end{gathered}\)b)
To calculate the output current it would be:
\(\begin{gathered} I_{\text{out}}=\frac{P}{V} \\ I_{\text{out}}=\frac{100}{12}=8.33\text{ A} \end{gathered}\)c)
We have to:
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Step-down transformer reduces the output voltage.
In this case, the voltage goes from being 5 V to being 12 V, therefore the output voltage increases, which means that it would be a step-up transformer.
Sounds are reflected best when bounced off [answer] hard surfaces.
Answers
Sounds are reflected best when bounced off the flat surfaces.
What is a sound wave?A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.
Since sound waves cannot easily pass through hard surfaces, they bounce off them instead, reflecting back to the source which they first came from.
When sound is reflected off of flat surfaces, it does so most effectively.
Hence the flat surface is the correct answer.
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the speed of an object increases by 30 m/s in 10 seconds. what is its acceleration?
Answers
Answer:
3m/s^2
Explanation:
acceleration=velocity/time
acceleration= 30/10=3m/s^2
Explain why it is impossible to whirl a bung around
on the end of a string in such a way that the string
remains perfectly horizontal.
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Answer:
hope help you stay happy
A man lifts a bucket of water from a well that is 7 meters deep. The bucket and water together weigh 50 Newtons. He turns the crank handle with a force of 5 Newtons. The effort force is blank. (Fill in the blank)
A) 70 meters
B) 5 N
C) 50 N
D) 25 N
Answers
Answer:
Work = Work out
Work in = 5 N * d where d is the distance the handle travels
Work out = 50 N * 7 m = 350 Joules
d = 50 N * 7m / 5 N = 70 m
This is the distance traveled by the force of 5 N
A man lifts a bucket of water from a well that is 7 meters deep. The bucket and water together weigh 50 Newtons. He turns the crank handle with a force of 5 Newtons. The effort force is 70 Newtons.
What is Effort force?If a force is applied for a machine to move or change the position of the object is known as Effort force.
The effort force formula can be described as,
Fe = Fl. dl / de
Fe is effort force (N, lb)
Fl is load force (N, lb) (note that weight is a force)
dl is distance from load force to fulcrum (m, ft)
de is distance from effort force to fulcrum (m, ft)
Here, the given data to find the effort force is,
Fl =50 Newtons
dl = 7 meters
de = 5 Newtons.
Substituting all the values, we get,
Fe = 350/5
Fe = 70 Newtons.
Thus, the effort force is 70 Newtons.
Hence, Option A is the correct answer.
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water is flowing at 4.0 m/s in a circular pipe. if the diameter of the pipe decreases to 1/2 its former value, what is the velocity of the water downstream?
group of answer choices
a. 4.0 m/s
b. 8.0 m/s
c. 2.0 m/s
d. 16 m/s
e. 1.0 m/s
Answers
The velocity of water downstream will increase when the diameter of the circular pipe decreases. The answer is (d) 16 m/s
According to the principle of continuity, the product of the cross-sectional area and the velocity of a fluid flowing through a pipe remains constant as long as the pipe is of a constant diameter. Therefore, if the diameter of the pipe decreases, the cross-sectional area of the pipe decreases, and the velocity of the water downstream increases to maintain the constant product.
In this problem, the initial velocity of the water is given as 4.0 m/s. When the diameter of the pipe decreases to half its original value, the cross-sectional area of the pipe reduces to 1/4th of its original value. According to the principle of continuity, the product of the cross-sectional area and the velocity of water remains constant. Hence, the velocity of the water downstream will increase by a factor of 4 to maintain the constant product. Therefore, the final velocity of the water downstream will be 4.0 m/s x 4 = 16 m/s. Hence, the answer is (d) 16 m/s.
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Many automatic processes use circuits to accomplish a task. Thermostats, automatic light switches, motors, and home security systems all use circuits. Besides common electronic devices such as stereos, iPods, computers, cell phones, video games, TVs, DVD players, what other things in our world use circuits?
Answers
Answer:
homes and cars
Explanation:
There are many devices in our day to day lives that use circuits in order to function. Aside from all those that are listed in the question some others include, our entire homes and cars, with the main difference being the amount of voltage that is being used. Just like tv's and computers, houses and cars use electrical circuits on a much larger scale in order to provide electricity to different parts of the system.
The game of floor hockey is primarily a blank
and blank
game.
Answers
Answer:
Fast and Energetic
Explanation:
The game of floor hockey is primarily a Fast and Energetic game. The main objective of the game of field hockey is to score more goals than the opposing team by shooting the Hockey ball into the goal post of the opposing team, Field hockey is similar to Ice hockey but the major difference is that Filed hockey is played without skates
2Objects 1 and 2 attract each other with a electrostatic force of 18.0 units. If the charge of Object 1 is one-fourth the original value AND the charge of object 2 is tripled AND the distance separating Objects 1 and 2 is halved, then the new electrostatic force will be _____ units.
Answers
Answer:
The new force becomes 3 times of the initial force.
Explanation:
Let q₁ and q₂ are two charged particles. The force between them is given by :
\(F=\dfrac{kq_1q_2}{r^2}\ ......(1)\)
If \(q_1'=\dfrac{q_1}{4}\)
and
\(q_2'=3q_2\)
Also, r' = r/2
New force,
\(F'=\dfrac{kq_1'q_2'}{r'^2}\)
Putting all the above values,
\(F'=\dfrac{k\dfrac{q_1}{4}3q_2}{(r/2)^2}\\\\F'=3\times \dfrac{kq_1q_2}{r^2}\\\\F'=3F\)
So, the new force becomes 3 times of the initial force.