The 6cm far away could another bumblebee detect its presence. An electric field of 60 n/c.
What is the electric field's direction at the dot's specified location?The positive charge at the dot produces an electric field that is directed away from the positive charge. The negative charge at the dot is the target of the electric field that it produces.
Field strength: What is it?The field strength in physics refers to the size of a vector-valued field, such as the electric field E's magnitude expressed in volts per meter, or V/m. For instance, an electromagnetic field produces both a strong electric field and a strong magnetic field.
Given:
Electric field E = 60 N/C
Charge q = 24 pC
Electric field [tex]E=K\frac{q}{r^2}[/tex]
[tex]r=\sqrt{K\frac{q}{E} }[/tex]
[tex]K=8.99*10^9\frac{Nm^2}{C^2}[/tex]
[tex]r=\sqrt{(8.99*10^9)\frac{24*10^-12}{60} }[/tex]
[tex]r=6cm[/tex]
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4) a very elastic rubber ball is dropped from a certain height and hits the floor with a downward speed v. since it is so elastic, the ball bounces back with the same speed v going upward. which of the following statements about the bounce are correct? (there could be more than one correct choice.) a) the ball had the same momentum just before and just after the bounce. b) the magnitude of the ball's momentum was the same just before and just after the bounce. c) the ball's momentum was conserved during the bounce. d) none of the above statements are correct.
When dropped from a specific height, a very stretched rubber ball hits the ground quickly to the left. The elastic nature of the ball causes it to rebound with
What has Elastic been famous for?
Elasticsearch, the centerpiece of the Elastic Stack, a collection of free and open technologies for data intake, enrichment, storing, analysis, and visualization, is renowned for its straightforward REST APIs, decentralized nature, speed, and scalability.
Where can you find elastic?
Designed to feel soft on the skin, cord elastic is frequently used in clothes that doesn't need as much stretch as well as in jewelry making. It's a fantastic choice for doll clothing or baby garments because of its tiny size. Often, cord elastic is used.
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variations in the density of the earth's crust do not affect the value of the gravitational constant g at all. true false
The given statement is false, variations in the density of the earth's crust do not affect the value of the gravitational constant g at all.
What's the density of the Earth's crust?When compared to oceanic crust, which is basaltic (i.e., richer in iron and magnesium than granite) and has a density of about 2.9 to 3 grammes per cubic cm, continental crust is generally granitic and has a density of about 2.7 grammes per cubic cm.
The Earth has a density of 5.513 g/cm³. This represents the planet's entire material on average. Since water is less dense than iron, an average is required for usability.
G's value is independent of the types and dimensions of the bodies. Furthermore, it is independent of the type of medium separating the two bodies. Because of this, G is known as the universal gravitational constant.
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an object is thrown upward with a speed of 14 m/s on the surface of planet x where the acceleration due to gravity is 3.5 m/s2. what is the speed of the object after 8.0 s?
The velocity of the hammer after 8 sec will be 14 m/s in the downward direction which is represented by the negative symbol.
Calculation=
a=-3.5 m/s^2
so v= u +at
u =14 m/s
so v= 14-8*3.5
=-14 m/s
so its speed will be 14m/s downward
How fast are they?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
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A highway curves to the left with radius of curvature of 44 m and is banked at 16 ◦ so that cars can take this curve at higher speeds. Consider a car of mass 1563 kg whose tires have a static friction coefficient 0.72 against the pavement. How fast can the car take this curve without skidding to the outside of the curve?
The car can take this curve without skidding to the outside of the curve with a speed of 23.47 m/s.
Given that,
Radius of the track r = 44 m
Inclination θ = 16°
Mass of car m = 1563 kg
Coefficient of kinetic friction μ = 0.72
By analysing the free body diagram, we get,
N cos θ - fr - m g = 0 ----(1)
where, N is normal reaction
fr is friction
N cos θ + fr cos θ = mv²/r ----(2)
fr = μ N ----(3)
From (1), (2) and (3) we get maximum velocity without skidding as,
v = √(g r ) × √( tanθ +μ )/(1 - μ tanθ) = √(9.8× 44 ) ×√( tan 16°+ 0.72)/(1 - 0.72 tan 16°) = 20.77 × √1.007/0.79 = 20.77 × 1.13 = 23.47 m/s
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Why is it important to include a section on your procedures and methods, as well as the materials you used, in a laboratory report about an experiment?
a.so readers know that your hypothesis was correct
b.so you don’t have to provide as much information about the results
c.so the experiment can be replicated by other scientists
d.so you can do the experiment more cheaply later
c. so the experiment can be duplicated by other scientists. It includes detailed information about the procedures used in an experiment, as well as the materials used. It is important because it allows other scientists to repeat the experiment to confirm the results.
Why is it an important part of scientific process?This is a crucial part of the scientific process and helps to establish the validity and reliability of the results. Having a clear and detailed record of the experiment also ensures that it can be repeated in the future, and provides a basis for further research and experimentation.
What are scientific methods of experimentation?he scientific method is a systematic and objective approach to solving problems and answering questions through empirical observation and experimentation.
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Time Dilation Ranking Task
Five identical quintuplets leave earth when they reach the age of 21, in the year 2121. Each quintuplet goes on a spaceship journey that takes T years, as measured by a clock in each spaceship. During the journey they travel at a constant speed v, as measured on earth, except during the relatively short acceleration phases of their journey.
Part A
Rank these quintuplets on the basis of the year on earth when they return from their journey.
Rank from largest to smallest. To rank items as equivalent, overlap them.
A: T=20years, v=0.4c
B: T= 5years, v=0.2c
C: T=10years, v=0.8c
D: T=10years, v=0.4c
E: T=20years, v=0.8c
Part B
Rank these quintuplets on the basis of their age when they return from their journey.
Rank from largest to smallest. To rank items as equivalent, overlap them.
A: T=20years, v=0.4c
B: T= 5years, v=0.2c
C: T=10years, v=0.8c
D: T=10years, v=0.4c
E: T=20years, v=0.8c
Ranking these quintuplets on the basis of the year Part A: E > A > C > D > B.
Ranking these quintuplets on the basis of their age when they return from their journey Part B: E > A > C > D > B
What are quintuplets?A set of five infants called quintuplets is born all at once. A baby who is one of these sets is known as a quintuplet and occasionally goes by the nickname "quint."
Even though quintuplets and other higher-order multiple births, also known as super twins, are uncommon, there has been an increase in these pregnancies due to the increased use of fertility medications and assisted reproductive technologies.
Using on the time dilation formula we can rank the quintuplets. if [tex]$T^{\prime}$[/tex] is the time measured by Earth and [tex]$T$[/tex] is the time measured on space ship, then
[tex]$ T^{\prime}=\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} $Here, $v$ is the speed of the journey by the earth and $c$ is the speed of the light.Part A:$A: T=20$ years, $v=0.4 c$$$\begin{aligned}T_A^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{20 \text { years }}{\sqrt{1-\frac{(0.4 c)^2}{c^2}}} \\& =21.82 \text { years }\end{aligned}$$[/tex][tex]$$B: $T=5$ years,$v=0.2 c$$$\begin{aligned}T_B^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{5 \text { years }}{\sqrt{1-\frac{(0.2 c)^2}{c^2}}} \\& =5.10 \text { years }\end{aligned}$$$C: T=10$ years, $v=0.8 c$$$\begin{aligned}T_C^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{10 \text { years }}{\sqrt{1-\frac{(0.8 c)^2}{c^2}}} \\& =16.67 \text { years }\end{aligned}$$[/tex]
[tex]$\mathrm{D}: T=10$ years, $v=0.4 \mathrm{c}$$$\begin{aligned}T_C^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{10 \text { years }}{\sqrt{1-\frac{(0.4 c)^2}{c^2}}} \\& =10.91 \text { years }\end{aligned}$$$\mathrm{E}: T=20$ years, $v=0.8 \mathrm{c}$$$\begin{aligned}T_A^{\prime} & =\frac{T}{\sqrt{1-\frac{v^2}{c^2}}} \\& =\frac{20 \text { years }}{\sqrt{1-\frac{(0.8 c)^2}{c^2}}} \\& =33.33 \text { years }\end{aligned}$$Hence, the rank from largest to smallest is$$E > A > C > D > B[/tex]
Part B: A 11 the five quintuplets have same age when they leave the earth. Hence, the order from largest to smallest on the basis of their age is al so same as the part A.
E > A > C > D > B
Thus, PART A: 20 yrs ,0.8 c then 20yrs, 0.4c then 10yrs, 0.8c then 10 yrs, 0.4c then 5yrs, 0.2c.
PART B: 20yrs=20yrs, 10yrs=10yrs, 5yrs
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which statement describes the effect of increasing drop height upon the force encountered by the egg when colliding with the surface? (6 points) the force is not affected by the drop height the force is directly related to the drop height.
The idea that boosting the size would enhance the energy the egg would encounter upon impact with the surface defies logic. The little egg was unharmed when plopped onto 1 inch of foam.
What phrase best increasing growth?Increase has a range of often used synonyms, including expand, enlarge, and treble. All of the aforementioned verbs mean "to make by becoming greater," but "growing" in the passive voice denotes a steady increase in size, volume, or power. However, if used in the productive, it may also suggest a quick addition rather than a slow expansion. As he aged, his waistline expanded.
What is increasing in size?Numbers can be organized from lowest value to greatest value in ascending order. Left to right is the order. Another is bringing more order.
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The vernier caliper reads a distance of ___O 3.07 cm. O 3.50 cm. O 3.70 cm. O 3.97 cm.
The vernier caliper reads a distance of 3.07 cm. So option A is correct.
The Vernier caliper is a precision measuring instrument that is used to measure internal and external dimensions with high accuracy. The vernier scale allows for measurements in increments that are smaller than the smallest division on the main scale.
Additionally, the object being measured should be securely held in place and parallel to the jaws of the caliper. The reading on the vernier scale is then combined with the reading on the main scale to give the final measurement.
In the case of the question, the reading is 3.07cm, but it's important to note that without more information about the context of the measurement, the reading could be different.
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3. A 3-kg block moving 4 m/s to the right collides with an 8-kg block moving 2 m/s to the left.
a) If the two blocks stick together, what is the final velocity?
b) If the two blocks collide elastically and the 3-kg block moves to the left at 1 m/s, what is the final velocity of the 8-kg block?
c) How much kinetic energy is "lost" in the collision in a)?
The momentum in a collision is conserved. From this, the final velocity of the coupled mass is 2.5 m/s. The final velocity of the 8 kg mass will be 3.1 m/s in the elastic collision.
What is elastic collision ?In elastic collision, the total kinetic energy of the system is conserved. Hence, the initial kinetic energy of the colliding system is equal to the sum of their final kinetic energy.
Given m1 = 3 kg
u1 = 4 m/s
m2 = 8 kg
u2 = 2 m/s
v be the final velocity of the coupled mass.
then, m1 u1 + m2 u2 = (m1 + m2) v
(3 kg × 4 m/s) + (8kg × 2 m/s) = (8 kg + 3 kg)v
v = 2.5 m/s
If the blocks are moving in opposite direction after collision, then the velocity of 8 kg mass is calculated as follows:
(3 kg × 4 m/s) + (8kg × 2 m/s) = (3kg × 1 m/s) + (8 kg × v2)
28 kg m/s - 3 kg m/s = 8 v2
v2 = 3.1 m/s.
The change in kinetic energy for the in elastic collision is given as:
ΔKe = m1(u1)² + m2(u2)² - (m1 + m2)v²
= (3 kg ×16 m²/s²) + (8 kg× 4 m²/s²) - (8 kg + 3 kg)6.25 m²/s²
= 11.25 J.
Therefore, the kinetic energy lost in the inelastic collision is 11.25 J.
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A car travel from A to town B 145km distance in 3hrs 45min. Find it's average speed (a) in km/hr (b) in m/s
Answer:
39 km/hr (rounded)
Explanation:
use the equation speed=distance/time
Answer:
Explanation:
3hrs 45mins = 3 3/4 hours or 15/4 hours
average speed = 145km/15/4 = 145 x 4/15 = 29 x 4/3 = 38.67 km/h
m/s = 5/18 km/h
38.67 x 5/18 = 10.74 m/s
Express the force as a Cartesian vector. F 750 N Prob. F2-17
A force vector with magnitude 750 N and angle 30⁰ can be written as a Cartesian vector as: F = 375√3 i + 375 j
A vector can be written as its x-component and y-component.
Suppose the angle of a vector F with the positive x-axis is θ, then its components are given by:
Fx = F cos θ
Fy = F sin θ
Then,
F = Fx i + Fy j
= F cos θ i + F sin θ j
In the given problem, θ = 30⁰, F = 750.
Hence,
Fx = 750 cos 30⁰
= 750 (1/2)√3 = 375√3
Fy = 750 sin 30⁰
= 750 (1/2) = 375
Thus, the vector can be written as a Cartesian vector:
F = 375√3 i + 375 j
Your question is incomplete, most likely your question was:
Express the force as a Cartesian vector. F 750 N. The angle of the force vector with the horizontal is 30⁰.
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describe a way you can use the information from the video to determine whether the ball is moving with a truly constant velocity.
the video data to determine whether the ball is moving with constant velocity write whether you believe the ball is slowing as it approaches the can: Use evidence to back up your claim: B I U 6 = = = 8 D fx.
Velocity is a vector measurement of motion's rate and direction. Simply put, velocity is the rate of movement in one direction. Velocity can be used to calculate the speed of a car traveling north on a major highway and the speed of a rocket launching into space.
The velocity vector's scalar (absolute value) magnitude, as you might expect, is the speed of motion. Velocity is defined as the first derivative of position with respect to time in calculus. A simple formula involving rate, distance, and time can be used to calculate velocity.
Though they represent different measurements, speed, velocity, and acceleration are all related. Take care not to confuse these values.
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a 1.50-kg cannon is mounted on top of a 2.00-kg cart and loaded with a 57.7 gram ball. the cannon, cart, and ball are moving forward with a speed of 1.17 m/s. the cannon is ignited and launches a 57.7 gram ball forward with a speed of 53.8 m/s. determine the post-explosion velocity (in m/s) of the cannon and cart. enter a negative value for a backward velocity and a positive value for an forward velocity.
the post-explosion velocity (in m/s) of the cannon and cart, is u = -o.9m/s
The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The meter per second (m/s) is the accepted unit of velocity magnitude (also known as speed). Alternately, the magnitude of velocity can be expressed in centimeters per second (cm/s).
Let u be the cannon and cart's post-explosion velocities.
The law of conservation of momentum states that
(m₁ + m2)u + m3v = 0
Thus
u = - M3 /m1 + m₂ v =
Consequently, u = -(0.057 / 1.50 + 2.00) 53.8 = 0.876
u = -0.9m/s
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A student throws a 140 g snowball at 8.5 m/s at the side of the schoolhouse, where it hits and sticks.What is the magnitude of the average force on the wall if the duration of the collision is 0.19 s ?
Express your answer to two significant figures and include the appropriate units.
A student throws a 140 g snowball at 8.5 m/s at the side of the schoolhouse, where it hits and sticks.
The magnitude of the average force on the wall is 2026 N to two significant figures.
What is average force?Average force is the average of all the forces applied over a period of time. It is calculated by dividing the total force by the number of forces applied. For example, if you applied 10 forces over 10 seconds, the average force would be the sum of those 10 forces divided by 10. The average force is a measure of the average net force on an object over a given period of time and can be used to measure the rate of acceleration of an object. Average force can also be used in kinematics to calculate the velocity of an object over time.
The magnitude of the average force on the wall can be calculated using the equation: Force = (mass x velocity) / time, which can be rearranged to calculate Force = (mass x velocity) x time.
In this case, the mass of the snowball is 140 g, the velocity is 8.5 m/s, and the time of the collision is 0.19 s. Plugging these values into the equation gives us an average force of 2026.3 Newtons.
Therefore, the magnitude of the average force on the wall is 2026 N to two significant figures.
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The electric potential along the x-axis is V =200x2V, where x is in meters. What is Ex at x =0m?Express your answer as an integer and include the appropriate units.
The electric potential along the x-axis is V =200x2V, where x is in meters.-1200volt/m is Ex at x =0m.
What is electric potential ?
The electrical potential difference is also referred to as voltage. Electric potential difference serves as a gauge for the effort a unit charge makes to transfer from one point in an electric field to another. The term "voltage differential" is frequently used to refer to an electric potential difference.
What is electric field ?
The force per unit charge that is applied to a positive test charge that is at rest at that site is defined by mathematics as the electric field, which may be connected to each point in space and is represented as a vector field. An electric field can be created by either an electric charge or by magnetic fields that change over time.
V=200x2
E=-dV/dx=-400x=-400*0=0.(part A)
E=-dV/dx=-400x=-400*3volt/m=-1200volt/m.
Therefore, electric potential along the x-axis is V =200x2V, where x is in meters.-1200volt/m is Ex at x =0m.
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Considering that the volume remains unchanged during the experiment, how does the total pressure in the bulbs change if the reaction is allowed to go to completion?There is not enough information to determine how the total pressure wll change.The total pressure will remain constant The total pressure will decrease. The total pressure will increase.
Considering that the volume remains unchanged during the experiment, the total pressure will decrease.
What is pressure?The pascal (Pa), or one newton per square meter (N/m²), is the SI unit for pressure. A unit of surface area is used to define pressure as force. The area that an object affects and the force it applies are both inversely proportional to the pressure that object exerts..
Pressure has a significant impact on all aspects of our lives, including the weather and flying. It is particularly significant during chemical reactions. Chemists can accelerate the transitions between solids, liquids, and gases as well as force chemical reactions to take place by varying the pressure.
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Complete question is attached below.
define astronomical unit. define astronomical unit. the average distance between earth and the sun, which is about 9.46 billion kilometers. the distance that light can travel in 1 year, which is approximately 149.6 billion kilometers. the average distance between the sun and neptune, which is approximately 4497 million kilometers. the average distance between earth and the sun, which is approximately 149.6 million kilometers. the distance that earth travels around the sun in 1 year, which is about 9.46 million kilometers.
However, it is around 93 million miles on average between Earth and the sun (150 million kilometers). This distance is also known as one astronomical unit by scientists (AU)
What does the term "astronomical" mean?
Astronomical: Extremely or unbelievable huge; of or connected to astronomy. The price was exorbitant. astronomically
What does astronomy mean exactly?
Like the other disciplines, astronomy too began as a -ology, although it was termed astrology. Astro-, which naturally meaning "star," is a prefix that both astrological and astronomy share. "Knowledge" or "science" are denoted by the prefix -ology.
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A baseball bat strikes a baseball with a force of 35 n. the bat is in contact with the ball for 0.12 s.
what impulse did the bat exert on the baseball to change the ball's momentum?
The impulse exerted by the bat on the baseball is 4.2 Ns, to change the ball's momentum.
What is the impulse?Impulse is the sudden force or energy that causes an object to move in a particular direction. It is the product of a force applied over a certain period of time. Impulse is a vector quantity, meaning it has both magnitude and direction.
Forces such as gravity, friction, and pressure all create impulse. Impulse is also the integral of a force over a given period of time, which is the same as the change in momentum of an object. Impulse is an important concept in physics, as it can be used to describe the motion of objects and to calculate the velocity and acceleration of objects.
Using impulse-momentum theorem
[tex]\Delta p = F\Delta t[/tex]
p = 35 × 0.12
p = 4.2 Ns
Thus, The impulse exerted by the bat on the baseball is 4.2 Ns, to change the ball's momentum.
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Please help if you can!
2. You will need a magnifying glass and a small piece of scrap paper for this demonstration.
a. Go outside on a sunny day and put the piece of paper on a patch of asphalt, concrete, or a large flat
rock. Make sure there is no other combustible material or debris in the vicinity.
b. Hold the magnifying glass so it is close to the paper, with rays of sunlight shining through it. Move the magnifying glass side to side and close or away from the paper until the most concentrated ray of light is shining on the paper. This is the focal point for that magnifying glass.
C. Measure the distance between the focal point and magnifying glass. This is the focal length for that magnifying glass. (Be careful; if you hold the magnifying glass in that place for long enough, the paper will catch fire. Do not ever do this on your skin or clothing, as it can cause serious burns.)
d. Now take the magnifying glass inside and use it to look at the it words in a book. What is the focal
length now?
Answer:
b
Explanation:
4. a 1000 kg sports car moving at 20 m/s crosses the rounded top of a hill (radius of 100 m). determine a) the normal force on the car, b) the normal force on the 70 kg driver, and c) the car speed at which the normal force equals zero.
The normal force on car is 62167 N.
Given information:
mass of car m(car) = 1000kg
speed of car v = 20m/s
radius of path r = 100m
mass of driver m = 70kg
The weight of the car and driver
a) W = (m (car) + m) g
= 10496.7 N
The centripetal force of applied to the car and driver.
F(c) = ( Mcar + M) V²/R
The expression for the force balance along the normal direction is:
W = N - F(c) --------------------equation1
N = 62167 N
b) The weight of driver is:
N = W - mv²/r
= 406.7 N
c) From the equation 1, if normal force is zero.
v² = rg
By putting value in this equation
v = 31.32 m/s
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wave motion that is perpendicular to wave direction describes a____
Wave motion that is perpendicular to wave direction describes a transverse wave.
What is transverse wave?A transverse wave is a type of wave that moves perpendicular to its direction of energy transfer. This type of wave is characterized by oscillations or vibrations that take place perpendicular to the direction of energy propagation. Examples of transverse waves include electromagnetic waves such as light, radio waves and microwaves, as well as mechanical waves such as sound, seismic and ocean waves. In a transverse wave, the direction of the vibration is perpendicular to the direction of the energy transfer, while the direction of the energy transfer is parallel to the wavefront. Transverse waves can be described by their amplitude, frequency and wavelength. The amplitude of a transverse wave is the maximum displacement from its equilibrium position, while the frequency is the number of vibrations per second and the wavelength is the distance from one peak or trough to the next.
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. a roller-coaster car moves ft horizontally and then rises ft at an angle of above the horizontal. it next travels ft at an angle of downward. what is its displacement from its starting point? use graphical techniques.
171 feet at an inclination above horizontal. then rises ft at an angle above the horizontal. it next travels ft at an angle of downward
What is its distance from its beginning point, according to the image?The displacement is only the difference between the locations of the two and is unrelated to the route used to get there. The length of the path between the two markings, however, is the distance traveled.
How do you detect displacement, and what is it?The term displacement refers to a shift in an object's position. It has a magnitude and direction and is a vector quantity. For instance, if an object shifts from location A to position B, its position changes. use graphical techniques.
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A tiny insect is trapped 1.0 mm from the center of a spherical dewdrop 4.0 mm in diameter.
As you look straight into the drop, what is the insect's apparent distance from the drop's surface?
Express your answer using two significant figures. Answer is in mm.
On the same side as the object, the distance is negative, so the apparent distance of the insect from the drop's surface is -3.0 mm. This means the insect appears to be 3.0 mm inside the surface of the drop.
Calculation-The apparent distance from the drop's surface can be calculated using the formula for the radius of curvature of a spherical mirror, which is given by:
1/R = (n-1)(1/R1 + 1/R2)
Where R is the radius of curvature of the spherical mirror, n is the refractive index of the medium between the object and the mirror, R1 is the distance of the object from the mirror, and R2 is the distance of the image from the mirror.
In this case, the dewdrop is the spherical mirror and the insect is the object. Since the dewdrop is filled with water, which has a refractive index of about 1.33, the insect is in the air which has a refractive index of 1.R1 = 1.0 mm (distance of the object from the center of the spherical mirror)
R2 = ? (distance of the image from the center of the spherical mirror)
1/R = (1 - 1)(1/1.0 mm + 1/R2)
R2 = -1/ (1/1.0 mm - 1/R)
We know that R = (4.0/2) mm = 2.0 mm, so we can substitute that into the equation and solve for R2:
R2 = -1/ (1/1.0 mm - 1/2.0 mm)
R2 = -3.0 mm
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at the end of a race a runner decelerates from a velocity of 8.80 m/s at a rate of 2.40 m/s2. (a) how far in meters does she travel in the next 4.80 s? (assume the deceleration of 2.40 m/s2 is constant over the full 4.80 s.)
The runner travels 42.24 meters in the next 4.80 seconds while decelerating at a rate of 2.40 m/s^2.
What is velocity?Velocity is a vector quantity that describes the rate of change of an object's position in a given direction. It is typically represented as a combination of a magnitude (speed) and a direction.
To determine the distance the runner travels in the next 4.80 s, we can use the equation of motion for constant acceleration:
d = vi*t + (1/2)at^2
where d is the distance traveled, vi is the initial velocity, t is the time interval, and a is the acceleration.
In this case, the initial velocity is 8.80 m/s, the acceleration is -2.40 m/s^2 (since it is deceleration), and the time interval is 4.80 s.
So, we can plug in the known values into the equation:
d = vi*t + (1/2)at^2
d = 8.804.80 + (1/2)(-2.40)*(4.80)^2
d = 42.24 m
The runner travels 42.24 meters in the next 4.80 seconds while decelerating at a rate of 2.40 m/s^2.
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For time, t, in hours, 0 ≤ t ≤1, a bug is crawling at a velocity, v, in m/h given by v=51+t. Use Δt=0.2 to estimate the distance that the bug crawls during this hour.a) Find an overestimate and an underestimate.b) Then average the two to get a new estimate.
The overestimate and underestimate are 10.36 m and 51 m/h.10.28 m is the new estimate.
a) To estimate the distance that the bug crawls during this hour, we can use the formula:
distance = velocity multiplied by time
Using t = 0.2, we can find an overestimate by using t = 0.8 and an underestimate by using t = 0.
Overestimate: velocity = 51 + 0.8 = 51.8 m/h, distance = 51.8 x 0.2 = 10.36 m.
Underestimate: distance = 51 x 0.2 = 10.2 m velocity = 51 + 0 = 51 m/h
b) To find a new estimate, we can average the overestimate and underestimate: (10.36 + 10.2) / 2 = 10.28 m is the new estimate.
We used the formula distance = velocity x time to estimate how far a bug crawls in an hour. The velocity of the bug is given by the equation v = 51 + t, where t is the time in hours. To calculate the distance, we need to know the value of t.
In this case, we have a time range of 0 t 1, and we have chosen a small time interval of t = 0.2 to estimate the distance. Using this time interval, we can calculate the distance at different points in time within the given range.
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how far from the center of the stick must the rope be attached in order to maintain rotational equilibrium?
To balance the stick, the rope has to be closer to a heavier side of the block in order to maintain rotational equilibrium.
Rotational equilibrium: What Is It?Rotational equilibrium, If all of the torques working on an item are equal to zero, then the item is in rotational equilibrium and its angular momentum remains constant. If an object is hung out of its center of gravity or if its gravity centers falls below the suspension point, then the item will be in equilibrium.
What elements impact the equilibrium of rotation?A body must not be experiencing any angular acceleration and must have a net torque of zero in order to achieve rotational equilibrium. To maintain a body in rotational equilibrium when a torque is acting on it, an opposite and equal offset torque must be delivered to the body.
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you are the driver in the photo. your front zone is closed. what other related zone will you check at this moment, and what is the condition of that zone?
If the front zone in front of the driver is closed, the other zone which you will be able to check is the rear zone.
The closed zone refers to a space which is not open to view because of the restriction in the line of sight or intended path of travel.
A yellow or red traffic signal, a yield sign, or something moving into your intended route of movement are all indicators of a closed front zone. You must be ready to slow down or stop if you have seen a closed zone at a junction. Check your back zone as soon as you locate a closed zone. Start braking if it is already open. If the rear zone is closed, lightly press the brake pedal a few times to signal to the driver in back that you are stopping.
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Part C Find the average momentum density (momentum per unit volume) in the light at the floor: Express your answer in kilograms per square meter second: Azd kg/m? Submit Request Answer
The average momentum density in the light at the floor without additional information such as the intensity, wavelength, and area of the light.
To find the average momentum density (momentum per unit volume) in the light on the floor, we would need additional information such as the intensity and wavelength of the light, as well as the area of the floor that the light is illuminating.
The formula for momentum density is given by p=I/c where I is the intensity of the light, c is the speed of light, and p is the momentum density. Without this information, it is not possible to provide an accurate answer for the average momentum density in the light on the floor in kilograms per square meter per second.
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what is the weight of an object in pounds that has a mass of 49 slugs? round your answer to three significant figures.
When the mass is 49 slugs, the item weight 407.68lbf.
What is a weight example?The International System of Units (SI) defines the newton as the unit of force, which is used to measure weight. For instance, a kilogram of matter weighs around 9.8 newtons on Earth's surface and roughly one-sixth as much on the Moon.We can not convert Kg to Newton, because Newton is a unit of Force whereas Kg is the unit of mass respectively.One newton is equal to 1 kilogram meter per second squared
Mass = m = 49 slugs
g=8.32ft/[tex]s^{2}[/tex]
To find weight:
Weight = mg
W = 49*8.32 ft/[tex]s^{2}[/tex]
W= 407.68
W= 407.68lbf
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The complete question is :
what is the weight of an object in pounds that has a mass of 49 slugs when g is 8.32 ft/[tex]s^{2}[/tex]? round your answer to three significant figures.
Lt= L1 + L2 + L3 is the formula for finding the total inductance of a circuit when there is more than one inductor connected in series.answer choicesTrueFalse
The statement "Lt= L1 + L2 + L3 is the formula for finding the total inductance of a circuit when there is more than one inductor connected in series" is True.
The formula Lt = L1 + L2 + L3 is the correct formula for finding the total inductance of a circuit when there is more than one inductor connected in series.
When inductors are connected in series, the total inductance of the circuit is the sum of the individual inductances of the inductors. This is because the magnetic field created by each inductor adds together and the effective inductance is the sum of the individual inductances.
This is based on the principle of additivity of inductances in series. The total inductance of a series circuit is equal to the sum of the individual inductances. The current flowing through each inductor is the same and the voltage across each inductor is proportional to its inductance.
It is important to note that this formula is only true for inductors connected in series. When inductors are connected in parallel, the total inductance is given by the formula:
1/Lt = 1/L1 + 1/L2 + 1/L3 + ...
Where L1, L2 and L3 are the inductances of the inductors.
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