Answer: 16.3 seconds
Explanation: Given that the
Initial velocity U = 80 ft/s
Let's first calculate the maximum height reached by using third equation of motion.
V^2 = U^2 - 2gH
Where V = final velocity and H = maximum height.
Since the toy is moving against the gravity, g will be negative.
At maximum height, V = 0
0 = 80^2 - 2 × 9.81 × H
6400 = 19.62H
H = 6400/19.62
H = 326.2
Let's us second equation of motion to find time.
H = Ut - 1/2gt^2
Let assume that the ball is dropped from the maximum height. Then,
U = 0. The equation will be reduced to
H = 1/2gt^2
326.2 = 1/2 × 9.81 × t^2
326.2 = 4.905t^2
t^2 = 326.2/4.905
t = sqrt( 66.5 )
t = 8.15 seconds
The time it will take for the rocket to return to ground level will be 2t.
That is, 2 × 8.15 = 16.3 seconds
The position of an object at any time t is given by s(t)=3t4−40t3+126t2−9. i. Determine the velocity of the object at any time t. [5 marks] ii.Does the object ever stop changing? [5 marks] iii.When is the object moving to the right and when is the object moving to the left?
Answer:
1.) V = 12t^3 - 120t^2 + 252t
2.) No
3.) At positive V and negative V
Explanation: Given that the position of an object at any time t is s(t)=3t4−40t3+126t2−9.
1.) To determine the velocity V, we will differenciate the equation above with respect to t.
V = ds/dt
ds/dt = 12t^3 - 120t^2 + 252t
Therefore,
V = 12t^3 - 120t^2 + 252t
2.) The equation above depict an exponential equation which proves that the object never stops changing.
3.) The object moves to the right at positive velocity V and moves to the left at negative velocity V
i. The velocity of the object at any time is V = 12t^3 - 120t^2 + 252t
ii. The object is Not changing.
iii. At positive V and negative V.
Calculation of the velocity:Since the position of an object at any time t is
s(t)=3t4−40t3+126t2−9.
1.
Here the velocity is
V = ds/dt
ds/dt = 12t^3 - 120t^2 + 252t
SO,
V = 12t^3 - 120t^2 + 252t
2.) The equation above represents an exponential equation that proves that the object never stops changing.
3.) The object moves to the right at positive velocity V and moves to the left at negative velocity V
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Three resistors, of 100, 200, and 300 ohms are connected in parallel. What is their equivalent resistance?
(Unit = ohms)
Answer:
Equivalent resistanfe in parallel (R):
1/R = 1/100 + 1/200 + 1/300
1/R = (6 + 3 + 2)/600
1/R = 11/600
R = 600/11 = 54.55 ohms
Equivalent resistance is 54.55Ω.
It is given that three resistors are,
[tex]R_{1}[/tex] = 100Ω, [tex]R_{2}[/tex] = 200Ω, and [tex]R_{3}[/tex] =300Ω
It is required to find the equivalent resistance when resistors connected in parallel.
What is the equivalent resistance?
As we know, when the resistors are connected in parallel,
[tex]\frac{1}{R} =\frac{1}{R_{1} } +\frac{1}{R_{2} }+\frac{1}{R_{3} }[/tex]
Putting the values, we have
[tex]\frac{1}{R} =\frac{1}{100} } +\frac{1}{200 }+\frac{1}{300 }[/tex]
[tex]\frac{1}{R} =\frac{(6+3+2)}{600}[/tex]
[tex]\frac{1}{R} =\frac{11}{600}[/tex]
[tex]R=\frac{600}{11}[/tex]
R=54.55Ω
Thus, equivalent resistance or total resistance when resistance are connected in parallel is 54.55Ω.
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Which of the following does not require energy to be
accomplished?
a) moving car
B) a stationary inanimate object
C) growing a plant
D) getting a tan
Answer:
B
Explanation:
moving a car requires energy from gas, growing a plant requires energy from the sun, and getting a tan requires energy from the sun. So it must be a stationary inanimate object.
Which term is defined as long chains of carbon molecules?
atoms
polymers
bonds
monomers
Answer:
Hope it helps
Explanation:
MONOMERS
Which of the following processes occurs in the cells of plants?
C.production of food through photosynthesis
B. removal of wastes
A. exchange of CO2 and O2
(pick all that apply)
Answer:
A., B. & C.
Explanation:
All apply, because all these happen in a plant.
The following processes that occur in the cells of plants:
C. production of food through photosynthesis
B. removal of wastes
A. exchange of CO2 and O2
Photosynthesis is a process by which green plants prepare their food by using carbon dioxide and water as reactant in the presence of sunlight to produce carbohydrate. The photosynthesis occurs in the cells of the leaves in plants. The removal of wastes in plants takes place by the stomatal pores present on the surface of leaves and by the lenticels present on the surface of stem. They allow the removal of excess water, and gaseous pollutant like carbon dioxide during respiration. Exchange of gases like carbon dioxide and oxygen occurs through respiration and photosynthesis. During respiration carbon dioxide is expelled out from the plant cells via stomata and oxygen is taken inside whereas the photosynthesis occurs during day time and fixes the atmospheric carbon dioxide and release the oxygen to the atmosphere as byproduct of photosynthesis.Learn more about photosynthesis:
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Which drum would make a sound that fades away faster - one that makes a loud sound or one that makes a more mellow sound Why?
Answer: one that makes a more mellow sound
Explanation:
One that makes a more mellow sound will have a constant frequency than the one that has a loud sound.
Fading away of sound waves depends on the wavelength of the sound. The one that has a loud sound with high frequency will have a brighter sound. While the more mellow one will have the bassier sound. Therefore, the sound with a more mellow sound will fade away faster.
A physicist is investigating a beam of laser light of wavelength 550 nm. The light strikes a target that is 189 meters away from the source of the light. What is the travel time of the light from the source to the target? Let the speed of light c = 3.00 × 10^8 m/s.
Answer: here you go I was looking for this answer everywhere,I have it now so it’s 6.30 x 10^-7 s
Explanation:
I hope this helps☺️
Answer:
I can confirm that it is 6.30 x 10^-7
Explanation:
A negative test charge experiences a force to the right as a result of an electric field. Which is the best conclusion to draw
based on this description?
3
The electric field points to the left because the force on a negative charge is opposite to the direction of the field.
The electric field points to the right because the force on a negative charge is in the same direction as the field.
No conclusion can be drawn because the sign of the charge creating the field is unknown.
No conclusion can be drawn because the amount of charge on the test charge is unknown.
Answer:
The correct option is (a).
Explanation:
We have, a negative test charge experiences a force to the right as a result of an electric field. The electric force acting on a charged particle is given by :
F = qE
q is charged particle, E is electric field
The direction of electric force is in the direction of electric field. For a negative charge, the electric field points to the left because the force on a negative charge is opposite to the direction of the field.
Which labels best complete the diagram?
Look at the diagram showing resistance and flow of
electrons.
OX: High resistance
Y: Low resistance
Z: Flow of electrons
X
N
X: Low resistance
Y: Flow of electrons
Z: High resistance
0 X: Flow of electrons
Y: High potential energy
Z: Low potential energy
X: Low potential energy
Y: High potential energy
Z: Flow of electrons
Answer: D
Explanation: Look at the figure, we can conclude that the correct answer is
X: Low potential energy
Y: High potential energy
Z: Flow of electrons
Because electrons flow where there is difference in potential energy. And electrons move from a region of high potential energy to a region of low potential energy.
Since the arrow is pointing to X, that means
Z is the flow of electrons, X is of low potential energy and Y is of high potential energy.
3. An electric field of 2.0 × 104 N/C is directed along the positive x-axis. a. What is the electric force on an electron in this field?
Answer:
The electric force on an electron in this field [tex]3.2\times 10^{-15}\ N[/tex].
Explanation:
We have,
Electric field of along the +x-axis is [tex]2\times 10^4\ N/C[/tex]
It is required to find the electric force on an electron in this field. The electric force acting on the particle is given by :
[tex]F=qE[/tex]
q is charge of electron
[tex]q=-1.6\times 10^{-19}\ C[/tex]
So,
[tex]F=1.6\times 10^{-19}\times 2\times 10^4\\\\F=3.2\times 10^{-15}[/tex]
So, the electric force on an electron in this field [tex]3.2\times 10^{-15}\ N[/tex].
The electric force on an electron throughout this field will be "3.2 × 10⁻¹⁵ N".
Electric field:An electric field throughout a force created by a charge throughout proximity to its circumstances. Whenever additional charges come into contact with this field, they are subjected to this force.
A charge's electric field at quite a point seems to be the force that somehow a unit positive (+) charge will indeed personal experience if put at around that spot.
According to the question,
Electric field = 2 × 10⁴ N/C
Charge of electron, q = -1.6 × 10⁻¹⁹ C
We know the relation,
→ F = qE
By substituting the values, we get
= [tex]1.6\times 10^{-19}\times 2\times 10^4[/tex]
= [tex]3.2\times 10^{-15}[/tex] N
Thus the above answer is correct.
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What is the index for a type of oil if light has a velocity of 2.5 x 10^(8) m/s in this
substance?
Answer:
1.2
Explanation:
Data obtained from the question include:
Velocity of light in the oil (V) = 2.5x10^8m/s
Velocity of light in air (C) = 3x10^8m/s
Refractive Index (n) =.?
The rafractive index (n) for the oil is given by:
Rafractive index (n) = Velocity in air (V) /velocity in oil (V)
n = C/V
n = 3x10^8 / 2.5x10^8
n = 1.2
Therefore, the Refractive Index of the oil is 1.2.
7) A boy is flying to kites at the same time,
He has 380 feet of line out to one kite and
420 ft. to the other. He estimates the angle
between them to be 30 degrees.
Approximate the distance between the
kites.
Answer:
hope this helps :)
Explanation:
what are similiarities between young modulus bulk modulus and shear modulus
The tire on this drag racer is severely twisted: The force of the road on the tire is quite large(most likely several times the weight of the car) and is directed forward as shown. Is the car speeding up or slowing down? Explain.
Answer: Speeding Up
Explanation:
Force is proportional to the acceleration of an object. The greater the force, the more acceleration will be produced.
When the force on the tire is equal to the weight of the car, the car is reaching a stability as a result of increase in motion.
But when the force of the load on the tire is quite large(most likely several times the weight of the car) and is directed forward, then, the car is at high speed.
An element located at the intersection of period 7 and group 2
Answer:
the answer is Ra 88 (radium)
Which book in the picture below has the most amount of gravitational potential energy?
Book A
Book B
Book C
I would say Book B.
Gravitational Potential Energy is mass * gravity * height.
Gravity is same for the same, it's constant.
Book C is the lowest, so it has less height.
And Book B is clearly the more massive of Book A and Book B, which are the same height.
Book B
2 Points
A student made a model to show the cycling of carbon.
Food → Consumers → Carbon dioxide → Producers > Sugar
Which necessary step in carbon recycling is missing from the student's
model?
A. Raindrops, because plants need water to grow
B. Pollinators, because they spread pollen from plant to plant
C. Decomposers, because they break down organic matter
D. Rocks, because they are broken down to make soil
SUBMIT
Mf b
Answer:
c
Explanation:
The step that has been missing in the carbon cycle has been decomposition, as it breaks the organic matter into simpler carbon that can be absorbed. Thus the correct option is C.
The carbon cycle can be defined as the transfer of carbon in varying forms in the atmosphere. Carbon has been present in the atmosphere in the form of air.
The air has been taken up by the plants for the formation of glucose. The atmospheric carbon has been converted into sugars by photosynthesis.
The sugar has been taken up by the consumers and is released back into the earth from the decomposition of the plants and waste from consumers or by the combustion process.
The carbon cycle can be given as:
Photosynthesis (Food) [tex]\rightarrow[/tex] Consumers
Decomposition [tex]\downarrow[/tex] [tex]\downarrow[/tex] Combustion
Carbon dioxide
The step that has been missing in the carbon cycle has been decomposition, as it breaks the organic matter into simpler carbon that can be absorbed. Thus the correct option is C.
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Which statement explains how convection currents affect the movement of plates?
Answer:Heat from Earth’s interior causes currents of hot rising magma and cooler sinking magma to flow, moving the crust along with them.
Explanation:
Answer:
Heat from Earth’s interior causes currents of hot rising magma and cooler sinking magma to flow, moving the crust along with them.
Explanation:
What is the velocity of light as it moves from air to diamond.
Answer:
The angles of reflection on both sides of the normal are always equal, so the angle of reflection is 70°. 2. The speed of light in diamond is 1.24 x 108 m/s.
Two students who live on planet X. They want to estimate the circumference. The two students synchronize their watches before one student leaves on vacation 600 miles due west to their home. They notice a 3 degree difference in altitude of the sun at local noon. What is the circumference of the planet?
Answer:
72000 miles
Explanation:
If the distance between the students is 600 miles, and this implies in a 3 degree difference in the sun position, that means this 600 miles is related to 3 degrees of the circunference of the planet.
So, to find the whole circunference of the planet, that is, 360 degrees, we just need to use a rule of three:
3 degrees -> 600 miles
360 degrees -> x miles
3x = 600 * 360
x = 600 * 360 / 3 = 72000 miles
What are the highest parts of a transverse wave called?
A -0.00325 C charge q1 is placed 5.62 m from a second charge q2. The first charge is repelled with a 48900 N force. What is the value of q2? C
Include the sign of the charge, - or +
Answer: q2 = -0.05286
Explanation:
Given that
Charge q1 = - 0.00325C
Electric force F = 48900N
The electric field strength experienced by the charge will be force per unit charge. That is
E = F/q
Substitute F and q into the formula
E = 48900/0.00325
E = 15046153.85 N/C
The value of the repelled second charge will be achieved by using the formula
E = kq/d^2
Where the value of constant
k = 8.99×10^9Nm^2/C^2
d = 5.62m
Substitutes E, d and k into the formula
15046153.85 = 8.99×10^9q/5.62^2
15046153.85 = 284634186.5q
Make q the subject of formula
q2 = 15046153.85/ 28463416.5
q2 = 0.05286
Since they repelled each other, q2 will be negative. Therefore,
q2 = -0.05286
Answer:
-0.05286
Explanation:
acellus
Momentum is a vector quantity because it includes velocity, which is also a
vector quantity.
A. True
B. False
please:(
Answer: A; True
Explanation: Momentum is known to be a vector quality, and thus has been proven by modern scientists and resulting in this answer being true.
Hope this helps <3
Stay safe, stay warm
-Carrie
Ps. it would mean a lot if you marked brainliest (=
Two small spheres with charges of 2.5 nC and the other 5.1 nC are sparated by a distance of 1.1 m. What is the electric potential between the two spheres?
Answer:
hy how are you now this is 2020 question but now it is 2022
Which characteristic of crude oil reflects its rate of evaporation?
Answer:
Crude oil is a light oil and is volatile. That's what makes it evaporate very fast.
HOPE IT HELPS :)
PLEASE MARK IT THE BRAINLIEST!
Answer:
Volatility
Explanation:
PLATO - "How quickly it evaporates."
5)
Sun spots are believed to be most closely related to the sun's
A)
corona
B)
period of rotation
C)
magnetic field
D)
changing size
Answer:
B
Explanation:
consider a silver wire with a radius of 4.0 x 10^-3 meter. determine the cross sectional area of this wire
Answer:
5.024×10⁻⁵ m
Explanation:
A = πr²................ Equation 1
Where A = cross sectional area of the wire, r = radius of the wire, π = pie.
Given: r = 4.0×10⁻³ meter.
Constant: π = 3.14.
Substitute these values into equation 1
A = 3.14(4.0×10⁻³)²
A = 3.14×16×10⁻⁶
A = 50.24×10⁻⁶
A = 5.024×10⁻⁵ m.
Hence the cross sectional area of the wire = 5.024×10⁻⁵ m
The cross sectional area of this wire will be "5.024 × 10⁻⁵ m". To understand the calculation, check below.
Cross-sectional areaAccording to the question,
Radius of silver wire, r = 4.0 × 10⁻³ m
Constant, π = 3.14
We know the formula,
→ Area will be:
A = πr²
By substituting the above values,
= 3.14 × (4.0 × 10⁻³)²
= 3.14 × 16 × 10⁻⁶
= 5.024 × 10⁻⁵ m
Thus the above answer is right.
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what is the frequency of a ocean wave that is traveling at a speed of 45 m/s if it has a wavelength of 3 meters? please show work
Answer: Frequency = 15Hz
Explanation:
Given that
Wavelength (λ) = 3 m
Wave speed V = 45 m/s
Wave speed is the product of frequency and wavelength. That is
V = f(λ)
Substitute wavelength and wave speed into the formula
45 = f × 3
Make f the subject of the formula
f = 45/3
f = 15 Hz
Therefore, the frequency of the ocean wave is 15 Hz
Find the frequency of a wave of wavelength 2.5m and speed 400 m/s
Answer:
The frequency of wave is 160Hz.
Explanation:
Given that the formula of speed is V = f×λ where V represents speed, f is frequency and λ is wavelength.
So first thing, you have to make frequency the subject by dividing wavelength on both sides :
[tex]v = f \times λ \: [/tex]
[tex]v \div λ = f \times λ \div λ[/tex]
[tex]f = \frac{v}{λ} [/tex]
Next you have to substitute the value of v and f into the formula :
Let λ = 2.5m,
Let v = 400m/s,
[tex]f = \frac{400}{2.5} [/tex]
[tex]f = 160Hz[/tex]
A girl lifts a 160-N load to a height of 1 min 0.5 s. How much power is used to lift the load?
A. 320 W
B. 80 W
C. 32 w
D. 160 W
Answer: 320 W
Explanation:
P = W/t
W = F * d
F = 160 N
d = 1 m
t = 0.5 s
W = 160 * 1
W = 160 J
P = 160 J / 0.5 s
P = 320 W