The position when time, t =35s is 87.59 m.
The acceleration represented by the graph is 0.143 m/s².
Acceleration of the objecta = Δv/Δt
where;
Δv is change in velocityΔt is change in time of motiona = (6 - 5) / (7 - 0)
a = 0.143 m/s²
Position of the object at the given time, 5 secondsThe position of the object is determined from the product of velocity and time of motion.
s = vt + ¹/₂at²
where;
v is initial velocity = 0t is time = 35 secondsa is acceleration = 0.143 m/s²s = 0 + ¹/₂(0.143)(35)²
s = 87.59 m
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What would be the mass of the same object on the moon, where gravity is one sixth of Earth gravity?
Conservation of angular momentum means that a spinning body tends to.
Conservation of angular momentum means that a spinning body tends to maintain its rotational speed or angular velocity unless acted upon by an external torque.
Angular momentum is a property of a rotating object and is determined by the product of its moment of inertia (a measure of its resistance to rotational motion) and its angular velocity (rate of rotation). According to the principle of conservation of angular momentum, the total angular momentum of a system remains constant in the absence of external torques.
When no external torque is applied to a spinning body, its angular momentum remains unchanged. This means that if the body is spinning with a certain angular velocity, it will continue to rotate at that speed unless an external torque acts on it. This is similar to the conservation of linear momentum, where an object in motion tends to maintain its velocity unless acted upon by external forces.
The conservation of angular momentum has several implications. For example, when a spinning figure skater pulls their arms closer to their body, they decrease their moment of inertia, causing their angular velocity to increase, thus conserving their angular momentum. Similarly, when a planet or star contracts due to gravitational forces, it rotates faster to conserve its angular momentum.
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A wave generator sends waves down a long rope. The generator vibrates 600 times in 5 seconds, and creates a wave that is 0.5 m long. What is the speed of the waves created by the generator?
The waves created by the generator are traveling at a speed of 60 m/second.
The speed of a wave can be calculated by multiplying its frequency by its wavelength. In this case, the frequency of the wave is given by the number of vibrations per unit time, and the wavelength is given as 0.5 m.
The frequency of the wave generator can be calculated as 600 vibrations per 5 seconds, or 120 vibrations per second.
Therefore, the speed of the waves created by the generator can be calculated as:
Speed = Frequency x Wavelength
Speed = 120 vibrations/second x 0.5 m/vibration
Speed = 60 m/second
Therefore, the waves created by the generator are traveling at a speed of 60 m/second.
It is worth noting that the speed of a wave is determined by the properties of the medium through which it is traveling.
In this case, the speed of the wave is determined by the tension and density of the rope. If these properties were to change, the speed of the wave would also change.
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Two long, straight parallel wires 9.3 cm apart carry currents of equal magnitude I. They repel each other with a force per unit length of 5.8 nN/m. The current I is approximatelya. 27 mAb. 65 mAc. 43 mAd. 52 mAe. 2.7 mA
The correct answer is d. 52 mA. The force per unit length between two long, straight parallel wires carrying currents of equal magnitude is given by the equation: F = μ₀I²/(2πd
Where F is the force per unit length, I is the current, d is the distance between the wires, and μ₀ is the permeability of free space.
Substituting the given values, we get:
5.8 nN/m = (4π × 10⁻⁷ T·m/A)I²/(2π × 9.3 × 10⁻³ m)
I = 43 mA (approximately). The force per unit length between two parallel wires carrying currents of equal magnitude I can be calculated using the formula:
F/L = (μ₀ * I₁ * I₂) / (2 * π * d)
In this case, F/L = 5.8 nN/m, d = 9.3 cm, and I₁ = I₂ = I. μ₀ is the permeability of free space, which is approximately 4π × 10⁻⁷ T·m/A.
Rearranging the formula to find I:
I² = (F/L * 2 * π * d) / μ₀
I² = (5.8 × 10⁻⁹ N/m * 2 * π * 9.3 × 10⁻² m) / (4π × 10⁻⁷ T·m/A)
I² ≈ 0.002230 A²
I ≈ √0.002230 A²
I ≈ 0.047 A, or 47 mA
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name five example of derived qualities
Answer:
velocity, power, energy, force and density
Explanation:
imagine that a continuous random variable X defined on the range [0,1] follows the probability density function p(X=x∣a)={(a+1)xa0 for x∈[0,1] everywhere else . where a>0 is a parameter that controls the shape of the distribution. Answer the following questions; you must include appropriate working. 1. Plot the probability density function of X when a=1/2 and a=2 for x∈[0,1]. 2. Determine the expected value of X, i.e., E[X]. 3. Determine the expected value of 1/X, i.e., E[1/X]. 4. Determine the variance of X, i.e., V[X]. 5. Determine the median of X. (hint: the answers to Q4.2 through Q4.5 will all be functions of a).
The probability density function of X is plotted for a=1/2 and a=2.
The expected value of X (E[X]) is determined.
The expected value of 1/X (E[1/X]) is determined.
The variance of X (V[X]) is determined.
The median of X is determined.
When a=1/2, the probability density function of X is given by p(X=x∣a)=((1/2)+1)x(1/2)^0=(3/2)x for x∈[0,1]. When a=2, the probability density function becomes p(X=x∣a)=(2+1)x^2=3x^2 for x∈[0,1]. To plot the probability density function, we can assign different values of x within the range [0,1], calculate the corresponding probabilities using the given formulas, and plot the points on a graph.
The expected value of X (E[X]) is calculated by integrating the product of X and its probability density function over the range [0,1]. For a=1/2, E[X] = ∫(x * (3/2)x) dx from 0 to 1. For a=2, E[X] = ∫(x * 3x^2) dx from 0 to 1. By evaluating these integrals, we can determine the expected values.
The expected value of 1/X (E[1/X]) is calculated similarly to E[X], but instead of integrating X, we integrate 1/X using the respective probability density functions for different values of a.
The variance of X (V[X]) can be computed by taking the second moment of X (E[X^2]) minus the square of the first moment (E[X]) squared. V[X] = E[X^2] - (E[X])^2. By calculating E[X^2] using the probability density function and the expected values obtained in step 2, we can determine the variances for different values of a.
The median of X is the value of X such that the cumulative distribution function (CDF) is equal to 0.5. To find the median, we integrate the probability density function from 0 to the median value and set it equal to 0.5. Solving for the median provides its value in terms of the parameter a.
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What is the answer for y = 4cos(5x)?
Maybe this graph can help?
f we triple the number of moles in the gas vessel at constant pressure, what would the new volume be?Group of answer choicesa) 40 Lb) 20 Lc) 10 Ld) 30 L
Based on the provided statement The increased volume would be 30L if we tripled the amount of moles with in gas vessel with constant pressure.
What is an illustration of pressure?Pushing a knife up against some fruit is a simple technique to show pressure. If you press the flat part of a knife against the fruit, the surface won't be cut. The force is spread out across a large area (low pressure)
What do pressure units mean?The standard pressure unit is a pascal (Pa). Given that a pascal is a relatively small unit of pressure, the kilopascal is the most appropriate measurement for commonplace gas pressures (kPa). 1000 pascals make up one kilopascal.
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Rennata Gas is driving through town at 25.0 m/s and begins to accelerate at a constant rate of -1.0 m/s². Eventually Rennata comes to a complete stop. Represent Rennata's accelerated motion by sketching a velocity-time graph. Use kinematic equations to calculate the distance which Rennata travels while decelerating. Then use the velocity-time graph to determine this distance. PSYW.
The correct answer is d = 312.5 m.
These formulas are used to describe an object's linear motion. Positive acceleration is present if the thing accelerates.
The equations utilised are as follows:
v = u + at
d = ut + 0.5 at^2
v^2 = u^2 + 2 ad
initial velocity u = 25 m/s
acceleration a = - 1 m/s^2
V is equal to zero in the end.
Let d represent the distance covered.
Now, with the third motion equation,
v^2 = u^2 + 2ad
0 = 25^2 - 2 × 1d
d = 312.5 m
The area between the line on the graph and the time axis can be used to calculate the distance travelled.
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classify each polynimal based on the number of terms it contains
Polynomials can be classified based on the number of terms is contains which may be monomial, binomial, or trinomial.
What are polynomials?Polynomials are algebraic expressions that contains a constant that is multiplied by one or more variables.
Monomials is a type of polynomial that has only one term. From the question, the monomial is 10xyz^3.Binomial is a type of polynomial that has only two terms. From the question, the binomial are 8x^2+0.25 and -x^2y^2+2y.Trinomial is a type of polynomial that has only three temrs. From the question, the trinomial are -2x^2-x+3.5 and x^3y^4+2x^2y-3z.Learn more about polynomials here:
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The complete question:
Classify each polynomials based on the number of terms it contains.
-2x^2-x+3.5
10xyz^3
-x^2y^2+2y
8x^2+0.25
x^3y^4+2x^2y-3z
What are the layers of sedimentary rock called?
A single layer of sedimentary rock is known as a bed or stratum (plural: strata). Each bed contains rock of a single composition and texture and can clearly be distinguished from the beds or strata above and below. This layering of strata is unique to sedimentary rocks and occurs because of the way that sediments are deposited.
Using a force of 10 N, you
push a shopping cart 10 m.
How much work did
you
do?
Answer:
100 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question we have
workdone = 10 × 10
We have the final answer as
100 JHope this helps you
explain why an astronaut on moon seems to be attracted only to the moon
Answer: the gravitational attraction on the Moon is much less than it is here on Earth, and a person weighs less on the Moon.
Explanation:
3 resitor is connected in series to a 6 resior and a 12-v battery.what is the current in each of the resistors ? what is the voltage drop across each resitor?
The current in each resistor is 4 A, 2 A, and 4 A, respectively. The voltage drop across each resistor is 12 V.
When three resistors are connected in series with a six resistor and a 12-volt battery, the total resistance of the series circuit is R = R1 + R2 + R3 + ...
The current flowing through the circuit is the same at every point. So, if we want to know the current flowing through each resistor, we need to use Ohm's law, I = V/R, where V is the voltage of the battery and R is the resistance of each resistor.
I1 = V/R1 = 12/3 = 4 AI2 = V/R2 = 12/6 = 2 AI3 = V/R3 = 12/3 = 4 A. The voltage drop across each resistor can be calculated using Ohm's law, V = IR.
V1 = I1R1 = 4 x 3 = 12 VV2 = I2R2 = 2 x 6 = 12 VV3 = I3R3 = 4 x 3 = 12 V.
Therefore, the current in each resistor is 4 A, 2 A, and 4 A, respectively. The voltage drop across each resistor is 12 V.
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6th grade science!!!!!!!!!!
Answer:
D. All of the above
Explanation:
Global warming may cause all of the given choices.
Global warming is the rise in surface temperature. This is due to the trapping of heat within the earth surface.
It is as a result of huge amount of greenhouse gases within our atmosphere. They typically permit short wave radiations to escape and they do not allow short wave radiation to pass through. This in turn produces heat.
The heat can melt polar ices and glaciers. This in turn will cause sea levels to rise. Also, the ocean temperature will generally increase due to this.determine the pressure drop per 100-m length of horizontal new 0.35-m-diameter cast iron water pipe when the average velocity is 2.9 m/s.
When the average velocity is 2.4 m/s, the horizontal 0.35 meter diameter cast iron water pipe experiences a pressure drop (P) of roughly 16457.14 kPa every 100 meters.
To determine the pressure drop per 100-meter length of a horizontal 0.35-meter diameter cast iron water pipe, we can use the Darcy-Weisbach equation. The equation is as follows:
\(\begin{equation}\Delta P = \frac{f \cdot \frac{L}{D} \cdot (\rho \cdot V^2)}{2}\)
where ΔP is the pressure drop, f is the Darcy friction factor, L is the length of the pipe (100 meters in this case), D is the diameter of the pipe (0.35 meters), ρ is the density of water, and V is the average velocity of water.
To calculate the pressure drop, we need to determine the Darcy friction factor. For a rough cast iron pipe, we can estimate the friction factor to be around 0.02.
Using the given values and the estimated friction factor, the calculation becomes:
\(\begin{equation}\Delta P = \frac{0.02 \cdot \frac{100}{0.35} \cdot (\rho \cdot 2.4^2)}{2}\)
Since the density of water (ρ) is approximately 1000 kg/m³, we can substitute this value and calculate the pressure drop:
ΔP = \(\frac{0.02 \times \frac{100}{0.35} \times 1000 \times 2.4^2}{2}\)
Let's solve the expression to calculate the pressure drop (ΔP) in kilopascals (kPa):
ΔP = \(\frac{0.02 \times \frac{100}{0.35} \times 1000 \times 2.4^2}{2}\)
First, let's simplify the expression:
ΔP = \(\frac{0.02 \times (285.714) \times (1000 \times 5.76)}{2}\)
= 16457.14
Therefore, the pressure drop (ΔP) per 100-meter length of the horizontal 0.35-meter diameter cast iron water pipe, when the average velocity is 2.4 m/s, is approximately 16457.14 kPa.
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Complete question :
Determine the pressure drop per 100 -m length of horizontal new 0.35−m-diameter cast iron water pipe when the average velocity 2.4 m/s. Δp= kPa
what is the relationship between wavelength and frequency ?
Answer: inverse relationship
Explanation: one increases and the other decreases
help!!!!!!!!!!!!!!!!!!!!
Answer:
Explanation:
For this one I'd say D. Placing data into tables, charts, and graphs is the easiest way for scientists to quickly sort their dat...
If the displacement of a particle is given by the formula S = 3t^3 - 20t^2 + 40t. Find (i) the displacement after 3 seconds (ii) the formula for the velocity at any time t (iii) the value of t when the particle is not moving (iv) the initial velocity of the particle (v) the formula for the acceleration at any time t (vi) the initial acceleration of the particle.
Answer:
At t = 0 S = 0
S = 3 * 3^3 - 20 * 3^2 + 40 * 3 after 3 sec
S = 3 * 27 - 20 * 9 + 120 = 21 after 3 sec
v = ds/dt = 9 * t^2 - 40 * t + 40 = 9 * 9 - 40 * 3 + 40 = 1
ds/dt = 9 t^2 - 40 t + 40 v at any time
If zero = 9 t^2 - 40 t + 40 then you need to solve the quadratic for t
a = ds^2 / dt^2 = dv /dt = 18 t - 40 for the acceleration at any time
At t = zero (the initial acceleration) a = -40
What should a student do if the hydrochloric acid splashes in their eyes?
.
First aid suggestions include:
Hold your face under running water for 15 to 20 minutes and allow the water stream to flood into your eyes. Use your fingers to hold your eyelids apart (make sure there is no trace of the chemical on your fingers).
If you wear contact lenses, remove them as soon as possible.
Seek immediate medical advice. Medical staff will need to know what chemical was involved, particularly whether it was acid or alkaline, liquid or powder.
Do not judge the seriousness of your eye injury on the degree of pain. For example, alkali chemicals don’t usually cause significant symptoms, but can seriously damage the eye.
Powder or particulate (granular matter, like wet concrete) chemicals can be particularly damaging since they are more difficult to flush out.
Answer:
immediately wash eyes with water
what is the relationship between frequency and pitch?
Two blue pixels on a TV are 0.000425 m
apart. When looking at them through a
human eye (diameter = 0.00433 m) with
450 nm light, what is the maximum
distance at which they could be
resolved?
[?] m
Hint: Solve for L! Remember, nano
means 10-9.
The maximum distance at which they could be resolved is 441.6 x 10⁻¹⁰m.
Diameter, 2r = 433 x 10⁻⁵m
Wavelength of light used, λ = 450 nm
Distance of the tv from eye, D = 425 x 10⁻⁶m
According to the Rayleigh criteria for the diffraction limit on resolution, two pictures are only partially resolvable when the centre of one image's diffraction pattern lies immediately above the initial minimum of the others.
So,
d/D = 1.22λ/2r
d/425 x 10⁻⁶ = 450 x 10⁻⁹/433 x 10⁻⁵
Therefore, the maximum distance at which they could be resolved is,
d = 425 x 10⁻⁶x 450 x 10⁻⁹/433 x 10⁻⁵
d = 441.6 x 10⁻¹⁰m
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What is the wavelength of the wave in the string
The standing wave in the figure has 4 nodes and 3 antinodes.
The wavelength of a standing wave is given by,
\(\lambda=\frac{2}{n}L\)Where n=number of nodes-1
From the figure n=3
Therefore the wavelength is,
\(\lambda=\frac{2}{3}L\)Therefore the wavelength of the stationary wave produced in the given string of length L is (2/3)L.
ILL MARK BRAINLEST
Question 13: A food web of the Yellowstone National Park ecosystem is
provided below. If a sudden outbreak of disease severely reduced the
number of wolves in Yellowstone National Park very rapidly, what are two
changes that might happen to the local food web? Fully explain using
claim, evidence, and reasoning.
Answer:
they all will die and so will we
Explanation:
Answer:
3 animals will thrive better
Explanation:
If the number of wolves is reduced, 3 animal species usually eaten by the wolves will have a better chance of survival.
Ik you didnt do the lab but like idek...
Which statement best describes what was demonstrated about speed and pitch in the "Doppler Effect" lab?
Speed and direction do not affect pitch.
Speed and direction affect pitch.
Direction affects pitch but not speed.
Speed affects pitch but not direction.
Answer:
Speed and direction affect pitch.
Answer:
The correct answer is B. Speed and Direction affect pitch
Explanation:
The Doppler effect, a quantitative analysis that demonstrates how the repetition heard by the stable perceiver depends on whether the perceiver sees the source approach, causes sound and light waves to increase and decrease in frequency due to the proportional motion between the wave source and its receivers. Accordingly, when the wave source is moving, waves are perceived at frequencies that are different from one another.
I know I'm answering a little later, but this will help any people in the future.
Please 5 star and say thx ty and hopes this helps
A 3 kg cart moves due east at 17m/s collides with a 5 kg cart moving due west. What is the initial speed of the 5 kg if the they stick together and come to rest.
The speed of 5 kg ball is 10.2 m/s
Given data:
The mass of cart 1 is m₁=3 kg.
The speed of cart 1 moving east is v₁=17 m/s.
The mass of other cart is m₂=5 kg.
Since the carts stick together, and comes to rest their final velocity is zero, i.e., v=0.
Applying the conservation of momentum between the carts as,
\(m_1v_1+m_2v_2=(m_1+m_2)v\)Here, v₂ is the speed of 5kg cart. Since the cart 2 moving in west direction therefore v₂=-v₂.
Substitute all the values in above equation,
\(\begin{gathered} 3(17)+5(-v_2)=(3+5)(0) \\ v_2=10.2\text{ m/s} \end{gathered}\)Thus, the speed of 5 kg ball is 10.2 m/s.
Final answer: 10.2 m/s
What is the differece between force and motion?
Answer:
---
Explanation:
Force is like the amount of push
Motion is the result of Push
Calculate the minimum frequency of ultrasound that will allow you to see details as small as 0.802 mm in human tissue. (Assume the speed of sound through human tissue is 1540 m/s.)
Answer:
the minimum frequency of ultrasound that will allow you to see the details is 1.92 x 10⁶ Hz.
Explanation:
Given;
wavelength, λ = 0.802 mm = 0.802 x 10⁻³ m
speed of sound in human tissue, v = 1540 m/s
The minimum frequency of ultrasound that will allow you to see the details is calculated as;
\(f = \frac{v}{\lambda} \\\\f = \frac{1540}{0.802 \times 10^{-3}} \\\\f = 1.92 \ \times \ 10^6 \ Hz\)
Therefore, the minimum frequency of ultrasound that will allow you to see the details is 1.92 x 10⁶ Hz.
Which can support life? Carbon, silicon, or both?
Answer:
both
Explanation:
Silicon
Explanation:
The chemical element of atomic number 14, a nonmetal with semiconducting properties, used in making electronic circuits. Pure silicon exists in a shiny dark gray crystalline form and as an amorphous powder
A 15 g ball at the end of 2.4 m string is swung in the horizontal circle. It revolves once every 2.09 s. What is the magnitude of the
string's tension ?
Answer:
0.325 N
Explanation:
From the question,
T = 4π²rm/t²............................ Equation 1
Where T = Tension, r = radius or length of the string, m = mass of the string, t = time.
Given: r = 2.4 m, m = 15 g = 0.015 kg, t = 2.09 s.
Constant: π = 3.14
Substitute these values into equation 1
T = 4(3.14²)(2.4)(0.015)/2.09²
T = 1.4198/4.3681
T = 0.325 N