The total distance traveled by the ball is determined as 49.68 ft.
Height travelled by the ball
The height travelled by the ball or the maximum height attained by the ball is calculated as follows;
v² = u² - 2gh
at maximum height, v = 00 = u² - 2gh
2gh = u²
h = u²/2g
h = (40²)/(2 x 32.2)
h = 24.84 ft
Total distance = 2 x 24.84 ft = 49.68 ft
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What is the mass of a truck if it produces a force of 14,000 n while accelerating at 5 m/s^2?
Answer:
[tex]F=ma \\ 14000 = 5m \\ m = \frac{14000}{5} \\ \therefore \: m = 2800 \: kg[/tex]
28. use the first equation in section iv for this problem. k = - u_{g} , g=6.67*10^ -11 .m^ 3 kg^-1 s^-2 and m = 3.2 * 10 ^ 23 * kg . find y in terms of r.
When, the mass and gravitational constant is provided, the velocity v in terms of r is 6.534 x 10⁶ r^(-1/2) m/s.
What is gravity?The force of attraction felt by a person which is directed at the center of a planet or Earth is called as the gravity.
The gravitational potential energy is directly proportional to the negative of product of masses of the object and inversely proportional to the distance between them.
U = - GMm/r
From the equation 1, k =-Ug
where k = Kinetic energy = 1/2mv²
here, m is the mass of the object, v is the velocity and g is the grvaitational acceleration.
1/2mv² = -(GMm/r) g
v = sq rt(2GM/r)
Given is the mass M = 3.2 x 10²³ kg , gravitational constant G = 6.67 x 10⁻¹¹ m³/kg.s²
Substitute the values and calculate the velocity v,
v = sq rt [( 2 x6.67 x 10⁻¹¹ x 3.2 x 10²³) / r]
v = 6.534 x 10⁶ r^(-1/2) m/s
Thus, the value of velocity v in terms of r is 6.534 x 10⁶ r^(-1/2) m/s.
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The base of a hexagonal prism has an apothem measuring 10 inches and an area of 346.41 square inches. the prism is 12 inches tall. what is the approximate lateral area of the prism? round to the nearest whole number. 139 square inches 416 square inches 693 square inches 831 square inches
The approximate lateral area of the prism is determined as 831 square inches.
What is lateral area of the hexagonal prism?
The lateral area of the hexagonal prism is calculated as follows;
LA = PH
where;
P is perimeter of the prismH is heightA = ¹/₂Pa
where;
a is apothem = 10 inchesA is base area = 346.41 in²346.41 = ¹/₂(10)P
346.41 = 5P
P = 346.41/5
P = 69.282 inches
LA = PH
LA = 69.282 x 12
LA = 831.38 in²
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Answer:
it's D on edge
Explanation:
When light of wavelength 160 nm falls on a gold surface, electrons having a maximum kinetic energy of 2. 66 ev are emitted. Find values for the following
When the light of wavelength is falling on gold surface, the electrons begin to exchange energies.
a)The work function in eV is Φ =5.097 eV.
b) The cut-off wavelength is λ₀ = 243.71 nm
c) The frequency is ν₀ =1.231 × 10¹⁵ Hz
What is work function?The energy needed for a particle to escape and break through the surface.
The kinetic energy of the light emitted is 2.66 eV and wavelength of the light is 160 nm = 160 × 10⁻⁹ m.
a) The work function of the gold for given maximum kinetic energy is
Φ = hc / λ - K.Emax
Substituting 6.626 × 10⁻³⁴ J.s for h, 3 × 10⁸ m/s for c and 2.66 eV for K.Emax, work function will be
Φ =8.16 × 10⁻¹⁹ J
1 eV = 1.6 × 10⁻¹⁹
The work function in eV is Φ =5.097 eV.
b) The cutoff wavelength is related to work function as
λ₀ = hc / Φ
Substitute the corresponding values into the equation, we get the cut off wavelength
λ₀ = 243.71 nm
c) The frequency corresponding to the cut-off wavelength is
ν₀ = c / λ₀
Substitute the corresponding values into the equation, we get the frequency,
ν₀ =1.231 × 10¹⁵ Hz
Therefore, the values for the following are
a)The work function in eV is Φ =5.097 eV.
b) The cut-off wavelength is λ₀ = 243.71 nm
c) The frequency is ν₀ =1.231 × 10¹⁵ Hz
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The cluster of galaxies that our own galaxy belongs to is called the.
Answer:
The Local Group/ Virgo Cluster
Explanation:
Our solar system is part of a galaxy called the Milky Way galaxy. The Milky Way galaxy is part of a small cluster of just over 30 galaxies known as the "Local Group." This cluster resides in a larger cluster of galaxies called the "Virgo Cluster" (sometimes called the Virgo Supercluster). The Virgo cluster contains just about 2000 galaxies.
give an example of how the law of inertia is demonstrated (a) for moving objects and (b) for objects at rest
Answer:
Both
Explanation:
Both of them are part of newtons laws of motion
The study of properties of matter, energy and of their mutual relationships is called
Explanation:
The study of properties of matter, energy and of their mutual relationships is called physics
URGENT
Give three examples of models that you see every day
describe how the *weight* of a spacecraft would compare between when it was on earth and when it was on the moon.
describe how the *mass* of a spacecraft would compare between when it was on earth and when it was on the moon
Answer:
The mass of a spacecraft is the same on earth as the moon.
W = F = M a the weight is different because the acceleration due to gravity is less on the moon than it is on earth.
On could choose a different mode of acceleration, say a compressed spring, and find that mass of an object does not depend on gravitational attraction. F = M a holds on the moon as well as on earth
A square loop of wire lies in the plane of the page. A decreasing magnetic field is directed into the page. The induced current in the loop is
A square loop of wire lies in the plane of the page. A decreasing magnetic field is directed into the page. The induced current in the loop is maximum and clockwise.
What is Magnetic field?The region of space where an object experiences a magnetic force towards it is called magnetic field.
The change in magnetic field induces the current. This induced current again opposes the original magnetic field in the opposite direction. The original magnetic field is decreasing into the page. So, magnetic field of induced current will have to add it and into the page.
Thus, the induced current in the loop is maximum and clockwise.
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Digital information can be sent through the vacuum if space, but the information must be-. A. below a certain size. B. converted to wave pulses C. encrypted for security reasons. D.sent in only one direction
Digital information can be sent through the vacuum if space, but the information must be converted to wave pulses. The correct option is B.
What is digital information?The digital information consists of data generated by the electrical systems. For examples, computers, screens, scientific calculators or any communication devices.
The electromagnetic waves do not require medium, So, they can travel through vacuum. So, Digital information can be sent through the vacuum or space.
Therefore, the correct option is B.
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2) Which of the following characteristics is associated
with high energy for a mechanical wave?
a) low amplitude
b) high amplitude
c) low frequency
d) long period
e) long wavelength
Answer:
The correct answer should be high amplitude : )
Explanation:
A high energy wave is characterized by a high amplitude, a low energy wave is characterized by a low amplitud
A 35-mf capacitor is connected to an ac source with a frequency of 400 hz and a maximum emf of 20 v. The maximum current, in s. I. Units, is:
The value of maximum current for A 35-mf capacitor which is connected to an ac source with a frequency of 400 hz and a maximum emf of 20 v is 1.76 ampere.
What is capacitance of capacitor?The capacitance of a capacitor is the ratio of the electric charge stored inside the capacitance to the potential difference. The value of capacitive reactance can be calculated as,
[tex]X_c=\dfrac{1}{2\pi fC}[/tex]
Here, C is capacity and (f) is the frequency.
A 35-mf capacitor is connected to an AC source with a frequency of 400 hz and a maximum emf of 20 v.
[tex]X_c=\dfrac{1}{2\pi fC}\\X_c=\dfrac{1}{2\pi (35\times10^{-6})(400)}\\\X_c=11.37\rm\; ohm[/tex]
The maximum current flowing is the ratio of maximum emf to the capacitive reactance. Thus, the maximum current is,
[tex]I_{\text{RMS}}=\dfrac{V_{\text{RMS}}}{X_C}\\I_{\text{RMS}}=\dfrac{20}{11.37}\\I_{\text{RMS}}=1.76\rm\; Amp[/tex]
Thus, the value of maximum current for A 35-mf capacitor which is connected to an ac source with a frequency of 400 hz and a maximum emf of 20 v is 1.76 ampere.
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What is the missing number in the nuclear reaction shown below? 237 Np 93 - 4 He+ 2 233 ? Pa
actually answer pls
Answer:
91 is the missing number because an alpha particle with a charge of 2 was emitted.
The magnitude of the average braking force on the car is most nearly
Braking force is applied to brakes to stop the car. The average braking force is 2kN.
What is force?Force is the product of mass of the object and acceleration.
The braking force is the force applied on the brakes to stop the car at a distance.
Suppose, the mass of the car is m=1000kg
The initial velocity of the car is u=10m/s
The time is t=5s
The final velocity of the car is v = 0 m/s
Applying the first equation of motion, to calculate the acceleration,
v=u + at
a=(v−u) / t
a =0−10 / 5
a =−2m/s²
Then, apply Newton's Second Law of Motion to calculate the braking force
F = ma = 1000 x 2= 2000 N or 2kN
Thus, the magnitude of the average braking force on the car is most nearly 2kN.
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What is the relationship between amplitude and wavelength?.
Answer:
The amplitude of a wave is the height of a wave as measured from the highest point on the wave (peak or crest) to the lowest point on the wave (trough). Wavelength refers to the length of a wave from one peak to the next.
Explanation:
A weight lifter lifts a mass m at constant speed to a height h in time t. How much work is done by the weight lifter?
The total work is done by the weight lifter who lifts a mass m at constant speed to a height h in time t, is (mgh)/t.
What is work done to lift an object?The amount of energy which is required to lift a object at a height is known as the work done of lifting an object.
The work done to lift an object for a time period of t is given as,
[tex]W=\dfrac{mgh}{t}[/tex]
Here, (m) is the mass of the object, (g) is the acceleration due to gravity and (h) is the height.
It is given that a weight lifter lifts a mass m at constant speed to a height h in time t. Thus, the work done by the weight lifter is,
[tex]W=\dfrac{mgh}{t}[/tex]
Hence, the total work is done by the weight lifter who lifts a mass m at constant speed to a height h in time t, is (mgh)/t.
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The distance between Carol's house and her uncle's house is 24 km. What is her speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle.
Carol's speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle is 36km/hr.
How to calculate average speed?The average speed of a moving body can be calculated by dividing the distance moved by the time taken.
According to this question, the distance between Carol's house and her uncle's house is 24 km. The speed it will take her to get to her uncle's house in 40 minutes by motorcycle is as follows:
Average speed = 24km ÷ 40/60 hour
Average speed = 36km/hr
Therefore, Carol's speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle is 36km/hr.
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Pictured below is a 34 kg rock sitting on top of a cliff that is 23.6 m above the ground.
To the nearest joule, what is the gravitational potential energy of the rock?
to the nearest joule, what is the gravitational potential energy of the rock
Answer:
7872 J
Explanation:
PE=mgh
PE=34 * 9.81 * 23.6
PE = 7871.5 J ≈ 7872 J
Object A has a temperature of 3 T. It comes in contact with Object B, which has a temperature of 2 T. Which of the following is true?(1 point)
Both objects will have the same temperature, larger than T but smaller than 2T.
What is the thermodynamic equilibrium?A system in equilibrium if there is no change in temperature after long time.
Assuming the system of two objects with the temperatures 3T and 2T.
When we put them together, heat transfer from the hotter object to the colder one takes place, until both of them have the same temperature
Also, the object with temperature 3T loses temperature, while the object with temperature 2T increases its temperature,
2T < T < 3T
Thus, both objects will have the same temperature, which is larger than 2T but smaller than 3T.
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Which of the following are possible ways to rotate the turbine in a generator?
steam
wind
falling water
all of the above
on the graph below, what is the total distance traveled during the recorded time interval? what is the displacement?
The total distance traveled during the recorded time interval would be 5 meters and the displacement of the object would be 5 meters.
What is displacement?Displacement is a vector quantity. This indicates that it has both a direction and a magnitude and that it is visually represented as an arrow that points from the starting position to the ending position.
As given in the problem we have to find out the total distance and the displacement of the object from the graph shown in the problem,
The displacement of the object = Final position - Initial position
=6 - 1
= 5 meters
Thus, The total distance traveled during the recorded time interval would be 5 meters and the displacement of the object would be 5 meters.
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conclusions about the elevator
Answer:
the invention of elevators has made a huge change to our society, and created a new revolution on not only allowing people to get to higher floors, but to also decrease the amount of land being used in a city.
Graph the following data on the graph, then use the graph to determine the half-life of this isotope.
Time (years): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
Mass Remaining (grams): 100, 75, 56, 42, 32, 24, 18, 13, 10, 8, 6.
Answer:
4, 56
Explanation:
Hope this helped!
Answer:
4, 56
Ex................................................................................
Two conducting spheres have net charges of +3.0 uC and -9.0 uC and attract each
other with a force of 0.20 mN. How far apart are the spheres?
The force between the two charges will be 16,000 N. It is the force exerted by one charge on another charge.
What is electric force?The electric force between the two charges is directly proportional to the product of the charge and inversely proportional to the square of the distance between them.
The given data in the problem is;
The magnitude of charge of sphere q₁ = +3.0 μC=-3.0×10⁻⁶ C
The magnitude of charge of sphere q₂ = -9.0 μC=9.0×10⁻⁶ C
k is the proportionality constant = 9 × 10⁹ Nm²
r is the separated distance to be found;
The electric force is F = 0.20 mN = 0.20 ×10⁻³ N
The electric force is found as;
[tex]\rm F = \frac{K q_1q_2}{r^2} \\\\ \rm 0.20 \times 10^{-3} = \frac{9 \times 10^9 \times 3.0 \times 10^{-6}\times 3.0 \times 10^{-6} }{r^2} \\\\\ R^ 2 =4.04\times 10^{-4} \\\\ R= 0.020 \ m[/tex]
Hence, the force between the two charges will be 16,000 N.
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Jay has a small object that is very dense.
Which of the following accurately describes
the mass and volume of Jay's object?
Density=
Mass
Volume
A. little mass: large volume
B. mass and volume are equal
C. large mass; little volume
D. little weight; large volume
Answer:
d
Explanation:
dence means closely compacted in substance.
Under what conditions do gases follow the ideal gas law
Answer:
According to sciences, when under moderate pressure and temperature, gases tend to follow the ideal gas law.
I need a detailed explanation on What is nuclear fusion is and what company’s are using it
Answer: here are some of the places that use nuclear fusion
Commonwealth Fusion Systems (CFS)
TAE Technologies.
General Fusion (Canada)
Helion Energy.
Tokamak Energy (U.K.)
First Light (U.K.)
Explanation: nuclear fusion is a nuclear reaction in which atomic nuclei of low atomic number fuse to form a heavier nucleus with the release of energy.
Can someone help me and give me the right answer
Relative to the movement of the building, a mass damper on the roof of an earthquake resistant building move in the opposite direction. The correct option is C.
What is mass damper?Mass dampers absorbs the kinetic energy of the waves, converting them into the heat energy. This heat energy is dissipated to the hydraulic fluid.
The mass dampers used on roof of the buildings are called as the tuned mass dampers. They are also known as seismic dampers. When seismic wave strikes the building, it vibrates and sways. The kinetic energy of theses waves are absorbed by movement of the mass damper. The kinetic energy is converted to the heat energy which in turn is transmitted to the fluid.
Relative to the movement of the building, a mass damper on the roof of an earthquake resistant building move in the opposite direction.
Thus, the correct option is C.
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1. What are the main greenhouse gases in the atmosphere? According to Resource Card 1, what is the most abundant greenhouse gas?
Answer:
The bottom three pie graphs show the breakdown for each of three greenhouse gases in comparison to the total. Seventy two percent (72%) of the total greenhouse gases emitted was carbon dioxide, 18% methane and 9% nitrous oxide.
Explanation: