The average velocity during the time interval is (V)=4m/s.
What is average velocity?Velocity is a expression of the displacement that an object or particle undergoes with respect to time. Velocity is a vector quantity. The average velocity means total distance divided by total time.
How can we calculate the average velocity?To calculate the average velocity we are using the formula,
Vₙ = (v₁+v₂)/2
Here we are known,
v₁= The position of a particle moving along the x-axis with the average velocity during the time interval from t = 1.0 s
v₂= The position of a particle moving along the same x-axis with the average velocity during the time interval from t = 4.0 s
We have to calculate, the average velocity during the time interval= Vₙ
To calculate the velocities we are using the formula,
v = dx/dt
Here, x=11+14t-2t²
v=dx/dt=14-4t
At, t=1.0s, v₁=14-4*1=10m/s
At, t=4.0s, v₂= 14-4*4=-2m/s
Now, the average velocity is,
Vₙ =(v₁+v₂)/2
Or, Vₙ =(10-2)/2
Or, Vₙ =4m/s
Thus from the above calculation we can conclude that, the average velocity during the time interval from t = 1.0 s to t=4.0 s is (V)=4m/s.
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The position of a particle moving along the x-axis is given by x = (11 + 14t – 2.0t²), where t is in seconds and x is in meters. What is the average velocity during the time interval from t = 1.0 s to t = 4.0 s
a sphere with a radius of 8cm carries a uniform volume charge density of 1.5 find the magnitude of the electric field
Answer:
E = 5.65 x 10¹⁰ N/C
Explanation:
First we need to find the total charge on the sphere. So, we use the following formula for that purpose:
[tex]q = \sigma V\\[/tex]
where,
q = total charge on sphere
V = Volume of Sphere = [tex]\frac{4}{3} \pi r^3 = \frac{4}{3} \pi (0.08\ m)^3 = 0.335\ m^3[/tex]
σ = volume charge density = 1.5 C/m³
Therefore,
[tex]q = (0.335\ m^3)(1.5\ C/m^3) \\q = 0.502 C[/tex]
Now, we use the following formula to find the electric field due to this charged sphere:
[tex]E = \frac{kq}{r^2}[/tex]
where.
E = Electric Field Magnitude = ?
k = Coulomb's Constant = 9 x 10⁹ N.m²/C²
r = radius of sphere = 8 cm = 0.08 m
Therefore,
[tex]E = \frac{(9\ x\ 10^9\ Nm^2/C^2)(0.502 C)}{(0.08\ m)^2}\\\\[/tex]
E = 5.65 x 10¹⁰ N/C
Suppose that a certain fortunate person has a net worth of $73.0 billion 7.30x10¹9). If her stock has a good year and gains $3.20 billion (3.20 x 109) in value, what is her new net worth? Express your answer to three significant figures.
Answer:
76.2 billion
Explanation:
73.0 + 3.20 billion = 76.2 billion
Damage to internal organs will present as pain associated with a particular surface area of the body. Why would something like irritation to the diaphragm, which is between the thoracic and abdominal cavities, feel like pain in the shoulder or neck?
Which of the graphs describes the motion of a person who first rode her bicycle at constant speed and then rested?
Answer:
Its graph 1
Explanation:
She started at the origin and kept riding her bike until she stopped which causes the line to go staright because she's not moving.
A 35 kg child goes down a playground that is inclined at an angle of 27.5 degrees above the horizontal. Find the acceleration if the child given that the coefficent of kinetic friction between the child and the slide is 0.415.
Answer:
4.16m/s²
Explanation:
According to Newtons second law;
[tex]\sum Fx = ma_x\\Fm - Ff = ma_x\\W sin\theta - \mu R cos \theta = ma_x\\mg sin\theta - \mu mg cos\theta = ma_x\\[/tex]
Fm is the moving force
[tex]\mu[/tex] is the coefficient of kinetic friction between the child and the slide
m is the mass
g is the acceleration due to gravity
a is the acceleration of the child
Substitute the given values and get the acceleration as shown;
35(9.8)sin27.5 - 0.415(35)(cos27.5) = 35a
158.38-12.88 = 35a
145.49 = 35a
a = 145.49/35
a = 4.16m/s²
Hence the acceleration of the body is 4.16m/s²
the distance between my home to school is 3 km and 240 m. what is the distance in km,m and dm
Answer:
km = 3.24
m = 3,240
dm = 32,400
Explanation:
km = 1000m
m = 10dm
Explanation:
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PLEASE HELP ME!! I NEED ANSWERS ASAP!!!!
Answer:
I do not know the answer because not all of the information is there.
Explanation:
Answer:
Beep Beep
Explanation:
In winter morning, as soon as we wake the air inside the room is cold but if up, the out and return to the same room, we we goo feel warm, why?
Answer:
it is all because of nature
Which wave has high enough energy to cause damage to skin and sometimes cancer?
Answer: All UV can have harmful effects on biological matter (such as causing cancers) with the highest energies causing the most damage.
Explanation:
A 120V AC signal is available at the wall port. You are required to convert it to a constant DC voltage of 12V for a laptop to operate. What are the three electrical components you will be using to achieve the same? Name the components in order and the function it performs.
Answer:
The following components shall be used in given order:
1. Step Down Transformer 2. Diode as Rectifier 3. Capacitor
Explanation:
The following components shall be used in given order:
1. Step Down Transformer 2. Diode as Rectifier 3. Capacitor
1.STEP DOWN TRANSFORMER:
The step down transformer is first used to convert the 120 V AC signal into 12 V AC signal. Because the output required is of 12 V.
2.DIODE AS RECTIFIER:
Now, the PN Junction diode is used as a rectifier to convert the 12 V AC signal to 12 V DC signal.
3.CAPACITOR:
Now, the output is in waveforms. So, in order to linearize it in the form of DC current, we use capacitor. The main function of capacitor is to smoothen the signal into a straight line.
which of the following could be cause of a irregular systolic reading
1. The one-way valves are not working
2 Blood is not flowing properly from the veins to the heart
3 Carbon dioxide and oxygen are mixing in the blood
4. The left ventricle is having difficulty contracting
The subjective perception of the frequency of sound is called ?
Answer: The subjective perception of the frequency of sound is called a Pitch
Explanation: Because the Pitch has a lowest and highest of a sound fundamental
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A powerful missile reaches a speed of 5 kilometers per second in 10 seconds after its launch. What is the average acceleration of the missile during this period?
A. 0.2 meters/second2
B. 0.4 centimeters/second2
C. 0.5 meters/second2
D. 0.5 kilometers/second2
Answer:
D option
Explanation:
please mark me brainliest and 5 star
Answer:
D. 0.5 km/s2
Explanation:
An 877 kg drag race car accelerates from rest to 116 km/h in 0.951 s. What change in momentum does the force produce? Answer in units of kg. m/s.
Answer:
The change in momentum is 28265.71 kg-m/s.
Explanation:
Given that,
Mass of a car, m = 877 kg
Initial velocity of the car, u = 0 (at rest)
Final velocity of the car, v = 116 km/h = 32.23 m/s
Time, t = 0.951 s
We need to find the change in momentum produced by the force. It can be calculated as the difference of final momentum and the initial momentum.
[tex]\Delta P=m(v-u)\\\\=877\times (32.23-0)\\\\=28265.71\ kg-m/s[/tex]
So, the change in momentum is 28265.71 kg-m/s.
The two ends of an iron rod are maintained at different temperatures. The amount of heat that flows through the rod by conducting DOES NOT depend on
Answer:
D mass of the iron rod
Explanation:
A) the length of the iron rod.
B) the thermal conductivity of iron.
C) the temperature difference between the ends of the rod.
D) the mass of the iron rod.
E) the duration of the time interval
The amount of heat that will flow through an iron rod whose two ends are maintained at different temperatures would depend on the thermal conductivity of the iron, the temperature difference between the two ends, the length of the iron rod, and the duration of flow of heat.
The thermal conductivity of any material is an indication of the ability of the materials to conduct heat. The higher the thermal conductivity, the higher the amount of heat a material can conduct within a specified period. Hence, the amount of heat that will flow through the iron rod depends on its thermal conductivity.
The temperature difference between two solid materials depends on the amount of heat that will flow across the materials by conduction. The higher the difference, the more the amount of heat that will flow. Hence, the amount of heat that would be conducted depends on the temperature difference between the two ends of the iron rod
The amount of heat that would move my conduction also depends on the distance that would be traveled by the heat. Due to heat loss to the surrounding, the shorter the distance, the more the heat and vice versa. Hence, the amount of heat that will flow through an iron rod depends on the length of the iron rod.
The duration of flow also dictates the amount of heat that will flow between two regions by conduction. The more the duration, the more the heat, provided that other conditions remain constant.
The only option that the amount of heat that would be conducted does not depend on is the mass of the iron rod.
The correct option is D.
10. The Earth's radius is about 6370 km. An object that has a mass of 20 kg is taken to a
height of 160 km above the Earth's surface. How much does the object weigh at this
height?
Answer:
Weight:
P =m·g₁ = 20·9.55 = 191 H
Explanation:
Given:
R = 6 370 км = 6 370·10³ m
m = 20 kg
h = 160 km = 160·10³ m
g = 9.8 m/s²
____________________
P - ?
Acceleration of free fall at the Earth's surface:
g = G*M / R² (1)
Acceleration of free fall at height h:
g₁ = G*M / (R + h) ² (2)
Divide (1) by (2):
g / g₁ = ((R + h) / R)²
g / g₁ = ( 1 + h / R)² = ( 1 + 160 / 6 370)² ≈ 1.026
g₁ = g / 1.026 = 9.8 / 1.026 ≈ 9.55 m/s²
Weight:
P =m·g₁ = 20·9.55 = 191 H
The time taken by a mass projected vertically
upwards to reach the maximum height (with air
resistance not neglected) is 10 sec. The time of
descent of the mass from the same height will be
Answer:
10s
Explanation:
The time to get to the maximum would be the same as the time to get down to the maximum unless somehow gravity’s changes during the duration it goes up to and from maximum height.
F x T = m (Vf - Vi)
in this equation what does the M stand for
Answer:
m = mass [kg]
Explanation:
This equation is characteristic of the amount of motion and momentum.
[tex]F*t = m*(v_{f}-v_{i})[/tex]
where:
F = force [N] (units of Newtons)
t = time = [s]
m = mass [kg]
Vf = final velocity [m/s]
Vi = initial velocity [m/s]
Now using the units and placing them in the equation above.
[tex][N]*[s] = [kg]*(m/s-m/s)\\[/tex]
[tex][N]=[kg*m/s^{2} ][/tex]
Now replacing:
[tex][kg*m/s^{2}]*[s]=[kg*m/s][/tex]
The s² is cancelled with the s, therefore.
[tex][kg*m/s]=[kg*m/s][/tex]
Three people are trying to move a box. Which set of forces will result in a net
force on the box of 20 N to the right?
A.
B.
O C.
O D.
18 N
55 N
55 N
6 N
← PREVIOUS
1₂
28 N
16 N 17 N
0
10 N
17 N
$
16 N
-
20 N
6 N
Correct answer is A
Answer:
A
Explanation:
18-28=10
10+10=20
20N to the right
If a mass of an object is 20 kg on earth, so what will be its weight?
Answer:
200 Newton
Explanation:
Weight is the force with which earth pulls the object.
W = M× g
where m is mass and g is acceleration due to gravity whose value is approximately 10 Newton
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Answer:
Acceleration.
Explanation:
Seems like u don't have time for a explanation. :
Answer:
A. Displacement
if A.B=A.C
does this imply that B must be equal to c ?
I need answer with example please
Answer:
Yes
Explanation:
[tex]Consider\ three\ variables\ a,b\ and\ c.\\If,\\ab=ac\\a*b=a*c\\We\ may\ now\ divide\ the\ LHS\ and\ RHS\ by\ a,\\Hence,\\\frac{a*b}{a} =\frac{a*c}{a}\\Hence,\\b=c[/tex]
[tex]Ex: \\Consider\ a=5, b=6.\\Hence\ if,\\a*b=a*c\\5*6=5*c\\Hence,\\30=5c\\Hence, c=\frac{30}{5}\\c=6\\As\ b\ also\ equals\ to\ 6,\\b=c[/tex]
What is the voltage of a circuit that has a current of 3.7 amps and a resistance of 1.5 ohms.
Answer:
V = 5.55 volts
Explanation:
Given that,
Current, I = 3.7 A
Resistance, R = 1.5 ohms
We need to find the voltage of the circuit. Let V is the voltage. We can find it using Ohm's law as follows :
V = IR
Substituting all the values, we get :
[tex]V=3.7\times 1.5\\\\=5.55\ V[/tex]
So, the voltage of the circuit is 5.55 V,
A source of heat at 1000 K transfers 1000 kW of power to a power generation device, while producing 400 kW of useful work. Determine the second law efficiency of the system, if the environment is at 300 K.
Answer:
The value is [tex]\eta _2 = 0.57[/tex]
Explanation:
From the question we are told that
The temperature of the heat source is [tex]T_s = 1000 \ K[/tex]
The amount of power transferred is [tex]P_s = 1000 \ kW = 1000 *10^{3} \ W[/tex]
The work produced is [tex]W = 400 \ kW[/tex]
The temperature of the environment [tex]T_e = 300 \ K[/tex]
Gnerally the Carnot efficiency of the system is mathematically represented as
[tex]\eta_c = 1 -\frac{T_e}{T_s}[/tex]
=> [tex]\eta_c = 1 -\frac{300}{1000}[/tex]
=> [tex]\eta_c = 0.7[/tex]
Generally the first law efficiency of the system is mathematically represented as
[tex]\eta _1 = \frac{W}{P_s}[/tex]
=> [tex]\eta _1 = \frac{400}{1000}[/tex]
=> [tex]\eta _1 = 0.40[/tex]
Generally the second law efficiency of the system is mathematically represented as
[tex]\eta _2 = \frac{\eta_1}{\eta_c}[/tex]
=> [tex]\eta _2 = \frac{0.4}{0.7}[/tex]
=> [tex]\eta _2 = 0.57[/tex]
Use the illustration below to answer Question #2:
The color spectrum above shows the wavelength range for each color of light. Based on this information, which statement about the colors at each end is true? (AKS 9a, DOK 1)
Red has the longest wavelength and the lowest frequency
Red has the shortest wavelength and the lowest frequency
Violet has the longest wavelength and the lowest frequency
Violet has the shortest wavelength and the lowest freq
Violet has the shortest wavelength and the lowest frequency.
When the entire spectrum of red visible light passes through a prism the wavelengths are separated into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength at about 380 nanometers and red has the longest wavelength at about 700 nanometers.
Visible light travels at 300,000 km/s and can be separated into 7 colors. From the longest wavelength, they are red, orange yellow green blue indigo, and violet. To clarify color is the eye's perception of different wavelengths of electromagnetic light. When it comes to visible light, the color with the highest frequency violet also has the highest energy. The lowest frequency of visible light red has the lowest energy.
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As the shuttle bus comes to a sudden stop to avoid hitting a dog. It accelerates unfirmly at -4.1m/s^2 as it slow down from 9.0m/s to 0.0m/s. Find the interval of acceleration for the bus
The interval of acceleration of the bus will be 2.19 seconds.
What is acceleration?An object is considered to have been accelerated if its velocity changes. Depending on whether an object is moving faster, slower, or in a different direction, its velocity may change.
Examples of acceleration include a falling apple, the moon orbiting the earth, and a car that has stopped at a stop sign. These examples demonstrate how acceleration occurs whenever a moving object modifies its direction, speed, or both.
Acceleration is a vector quantity.
SI unit of acceleration is m/s.
According to the question, the given values are :
Acceleration, a=-4.1 m/s²
Initial velocity, u=9.0 m/s and,
Final velocity, v=0 m/s
By using Equation of motion, i.e.,
v=u+at
⇒0 m/s=9m/s+(-4.1 m/s²)(t)
⇒-9 m/s=-4.1 m/s²×t
t=(-9 m/s)/(-4.1 m/s²)
t= 2.19 seconds.
Hence, the time interval of acceleration of the bus will be 2.19 seconds.
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A hollow aluminum sphere with outer diameter 10.4 cm has a mass of 746 g .What is the sphere's inner diameter?Express your answer with the appropriate units.Din=
Answer: the sphere's inner radius is 4.21 cm so the Inner diameter is 8.42 cm
Explanation:
Given that;
mass m = 746 g
diameter d = 10.4 cm
radius r = 5.2 cm
density of aluminum = 2.7 g/cm³
we know that
density × volume = mass
P × 4/3π( r₀³ - ri³) = m
so we substitute
2.7 × 4/3π( 5.2³ - ri³) = 746
11.3097( 5.2³ - ri³) = 746
( 5.2³ - ri³) = 746/11.3097
140.608 - ri³ = 65.961
ri³ = 140.608 - 65.961
ri³ = 74.647
ri = ∛74.647
ri = 4.21 cm
the sphere's inner radius is 4.21 cm so the Inner diameter is 8.42 cm
The inner diameter of the aluminum sphere is 8.42 cm.
The given parameters;
outer diameter of the sphere, d₀ = 10.4 cm mass of the sphere, m = 746 gdensity of aluminum, ρ = 2.7 g/cm³The volume of the aluminum sphere is calculated as follows;
[tex]volume = \frac{mass}{density} \\\\volume = \frac{746}{2.7} \\\\volume = 276.3 \ cm^3[/tex]
The volume of the sphere from the given outer and inner diameter is calculated as;
[tex]V = \frac{4}{3}\pi r^3\\\\V = \frac{4}{3}\pi \times \frac{d^3}{8} \\\\V = \frac{1}{6} \pi d^3\\\\V = \frac{1}{6} \pi (d_o^3 - d_i^3)\\\\d_o^3 - d_i^3 = \frac{6V}{\pi} \\\\d_i^3 = d_0^3 - \frac{6V}{\pi} \\\\d_i^3 = (10.4)^3 - \frac{6(276.3)}{\pi} \\\\d_i^3 = 597.23\\\\d_i = \sqrt[3]{597.23} \\\\d_i = 8.42 \ cm[/tex]
Thus, the inner diameter of the aluminum sphere is 8.42 cm.
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PLZZZ I will give brainliest. A ball that contains mechanical energy is rolled across the floor. You notice the ball is slowing down. If the ball started with 20 units of energy, explain how much energy would there be when the ball comes to a complete stop? How can you tell?
Answer: because of friction it will stop rolling completly
Explanation:
If a radio wave has speed 3.00 *10^8 m/s and frequency 94.7 MHz, what is its wavelength?
[tex]We \: know \: that, \: c = λv \\ thus \: \: λ = \frac{c}{v} = \frac{3 \times {10}^{8} \: m {s}^{ - 1} }{94.7 \times {10}^{6} } \\ = 3.16789863≈3.17 \: m[/tex]
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At the mail racing championship in England, the winner moved at an average velocity of 2.4 mm/s [ford] for 140 s. Determine the winning snail's displacement during this time interval. [
Answer:
Explanation: 1.2 mm
Time= 140 sec
Initial Velocity= 0
Average Velocity= 2.4 mm/s
Displacement= 0.5* (2.4/140) *140 = 1.2 mm