Projectile motion is a motion where an object moves in a bilaterally symmetrical path
What is a Projectile motion ?Projectile motion is a form of motion experienced by an object or particle that is projected near Earth's surface and moves along a curved path under the action of gravity only.
If an object is thrown up by making a certain angle with respect to ground ( let say theta) up in the sky , it will reach a maximum height after which it follows a symmetrical path as it comes down due to the action of gravity . The path followed from the beginning till end will be a parabolic in this case .
It is a motion where an object moves in a bilaterally symmetrical path .
Projectile motion only occurs when there is only one force applied at the beginning of the trajectory, after been released object comes in the action of gravity .
General form of equation of trajectory of Projectile motion can be written as :
y = x tan(theta ) - g(x^2)/(2(u^2)cos^2(theta))
where y = horizontal component
x = vertical component
g = gravity
u = initial velocity
theta = angle of inclination of the initial velocity from horizontal axis
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A measurement of a change
in distance over time
Explanation:
Speed is the rate of change of distance with time.17. ____ Objects with more mass have
a. more gravity b. less gravity
c. more acceleration
d. less inerties
a. more gravity
This is the answer.
Two boulders have masses of 7.5 x 106 kg and 9.2 x 105 kg. After rolling apart, their centers are separated by a distance of 124 m. Find the gravitational attraction FG between them.
Answer:
0.0299 N
Explanation:
Applying,
F = Gmm'/r²................... Equation 1
Where F = gravitational force between the boulders, m = mass of the first boulder, m' = mass of the second boulder, r = distance between the boulders, G = Universal constant.
From the question,
Given: m = 7.5×10⁶ kg, m' = 9.2×10⁵ kg, r = 124 m
Constant: G = 6.67×10⁻¹¹ Nm²/kg²
Substitute these values into equation 1
F = (6.67×10⁻¹¹× 7.5×10⁶ × 9.2×10⁵ )/124²
F = (460.23)/15376
F = 0.0299 N
Answer:
0.3 N
Explanation:
Plug in all your variables:
6.67 ⋅ 10^-11 (7.5 ⋅ 10^6) (9.2 ⋅ 10^5)
--------------------------------
(124)^2
Once you plugin, You start to multiple solving to solve your problem:
460.23
---------- = 0.02993171 N
15376
Now Simplify:
Answer = 0.03 N
A woman on a 10-speed bicycle travels at 9m/s relative to the ground as she passes a little boy on a tricycle going in the opposite direction. If the boy is travelling at 1m/s relative to the ground , how fast does the boy appear to be moving relative to the woman
Answer:
23
Explanation:
"Heat conduction to skin": Suppose 175 W of heat flows by conduction from the blood capillaries beneath the skin to the body's surface area of 1.5 m2. If the temperature difference is 0.70°C, estimate the average distance of capillaries below the skin surface.
Answer:
Explanation:
Thermal conductivity of human skin K = 21 W / m²
Formula for heat conduction
Q = KA ( θ₂ - θ₁) / d
A is surface area , θ₂ - θ₁ is temperature difference , d is thickness .
Putting the values
175 = 21 x 1.5 x .70 / d
d = .126 m
= 12.6 cm .
Which explanation best describes a wave?
A.
a disturbance that travels through a medium with a transfer of energy and matter
B.
a disturbance that travels through a medium without a transfer of energy and matter
C.
a disturbance that travels through a medium with a transfer of energy and without a transfer of matter
D.
a disturbance that travels through a medium with a transfer of matter and without a transfer of energy
E.
a disturbance that travels only in the absence of a material medium
Answer:
C. a disturbance that travels through a medium with a transfer of energy and without a transfer of matter
Explanation:
A wave is any disturbance that transfers energy from one location to the other via a substance called medium. It is important to note that a wave only conveys energy and not matter. For example, sound wave is a type of wave that carries sound energy from one place to another via mediums such as water, air etc.
Hence, according to this question, a wave can be described as a disturbance that travels through a medium with a transfer of energy and WITHOUT A TRANSFER OF MATTER.
What object currently has the most gravitational potential energy?
A, B, C, or D
Answer:
A
Explanation:
this because
gravitational potential energy = mass x height x gravitational field strength
so let's assume mass is 2 kg and gravitational field strength is 10 N /kg
so when height is very low, take it as 3 m
gravitational potential energy= 2 x 3 x 10 = 60 j
but when height is 6m
gravitational potential energy = 2 x 6 x 10 = 120 j
so when the height is the greatest, the gravitational potential energy is the highest
so A is the heighest so it has the highest gravitational potential energy.
hope this helps
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newton's second law states that when a net force acts on an object, it accelerates it.Explain how it would be possible for two or more forces to act on object without accelerating it
Answer:
See Explanation
Explanation:
According to Newton's second law of motion, the acceleration of a body is proportional to the net external force that acts on the body.
A body accelerated when it is acted upon by an unbalanced net external force.
When the external forces acting on a body are balanced, the effect of each force is cancelled by the other hence the body is not accelerated according to Newton's second law.
Which of the following is a disadvantage of a parallel circuit? A. Parallel circuits are a complex circuit and use more wire. B. If one bulb goes out the others go out too. C. Each of the bulbs burn at a different level of brightness.
Please Help!!!!
Your Best friend gets on a ship and travels away fast. They return 10.0 years later and I’ve only aged 4.00 years. How fast was your friend traveling? Give your answer as ex. 0.5c
Answer:
v = 0.92 c
Explanation:
Here, we will use the time dilation formula from Einstein's theory of relativity to find the speed of traveling of the friend:
[tex]t =\frac{t_o}{\sqrt{1-\frac{v^2}{c^2}}} \\\\\\\sqrt{1-\frac{v^2}{c^2}}=\frac{t_o}{t}\\\\[/tex]
where,
v = speed of traveling = ?
c = speed of light
t = time of return = 10 years
t₀ = time passed on earth = 4 years
Therefore,
[tex]\sqrt{1-\frac{v^2}{c^2}} = \frac{4\ years}{10\ years}\\\\ 1-\frac{v^2}{c^2}=(\frac{2}{5})^2\\\\\frac{v^2}{c^2} = 1-\frac{4}{25}\\\\\frac{v^2}{c^2} = \frac{21}{25}\\\\v^2 = 0.84c^2\\\\[/tex]
v = 0.92 c
5- A 2.0 kg block of aluminum (specific heat = 897 J/kg·K) is at an initial temperature of 300 K. What will its final temperature be if (3.35 × 105 J )of thermal energy is transferred to the block?
Answer:
T = 486.6 K
Explanation:
The final temperature of the block can be found using the following formula:
[tex]Q = mC\Delta T\\[/tex]
where,
Q = Thermal Energy Transferred = 3.35 x 10⁵ J
m = mass of aluminum block = 2 kg
C = Specific Heat = 897 J/kg.K
ΔT = Change in Temperature = T - 300 K
T = Final Temperature of the Block = ?
Therefore,
[tex]3.35\ x\ 10^5\ J = (2\ kg)(897\ J/kg.K)(T-300\ K)\\\\5.38\ x\ 10^5\ J + 3.35\ x\ 10^5\ J = (1794 J/K)(T)\\\\T = \frac{8.73\ x\ 10^5\ J}{1794\ J/K}[/tex]
T = 486.6 K
¿Cuál es la intensidad del campo eléctrico a una distancia de 2 m de una carga de -12μC? *
Answer:
Una secadora de cabello tiene una resistencia de 10Ω al circular una corriente de 6 Amperes, si está conectado a una diferencia de potencial de 120 V, durante 18 minutos ¿Qué cantidUna secadora de cabello tiene una resistencia de 10Ω al circular una corriente de 6 Amperes, si está conectado a una diferencia de potencial de 120 V, durante 18 minutos ¿Qué cantidad de calor produce?, expresado en caloríasad de calor produce?, expresado en calorías
A middle-A tuning fork vibrates with a frequency f of 440 hertz (cycles per second). You strike a middle-A tuning fork with a force that produces a maximum pressure of 5 pascals. Write a sine model that gives the pressure P as a function of the time t (in seconds).A middle-A tuning fork vibrates with a frequency f of 440 hertz (cycles per second). You strike a middle-A tuning fork with a force that produces a maximum pressure of 5 pascals. Write a sine model that gives the pressure P as a function of the time t (in seconds).
Answer:
P = 5sin(880πt)
Explanation:
We write the pressure in the form P = Asin2πft where A = amplitude of pressure, f = frequency of vibration and t = time.
Now, striking the middle-A tuning fork with a force that produces a maximum pressure of 5 pascals implies A = 5 Pa.
Also, the frequency of vibration is 440 hertz. So, f = 440Hz
Thus, P = Asin2πft
P = 5sin2π(440)t
P = 5sin(880πt)
A hunter stood at about 60 m away from a tree. He used the bow to release the arrow in order to shoot a coconut held by a monkey in the tree. The coconut was at a height of 25 m from the ground. The hunter aimed directly at the coconut and the arrow left the bow at 45 m/s making an angle of 20 degree to the horizontal. At the moment thebhunter released the arrow, the monkey dropped the coconut such that it falls vertically from rest. Neglect air resistance and the arrow's size. What is the time taken for the arrow to hit the coconut?
Answer:
[tex]v = u + at (upward)\\ 0 = 45 \sin(20) - 9.81t \\ t = 1.56s[/tex]
In what ways do people use natural resources? What problems does use of those resources cause?
Answer:
The Challenges of Using Natural Resources
Extracting, processing and using natural resources can cause environmental problems such as: air, land and water pollution; disruption or destruction of ecosystems; and a decrease in biodiversity.
When placed at a certain point, a
0.110 C charge feels an electric
force of 19.8 N. What is the
magnitude of the electric field at
that point?
Answer: 180
Explanation: Acellus
This equation gives the magnitude of the electric field generated by a point charge Q. The distance r in the denominator is the separation between the point of interest and the point charge Q. Or the center of a spherical charge.
What magnitude of the electric field at that point?It is simple to determine the size of the electric field by calculating the force per charge on the test charge. From this definition, the common metric units for electric field strength are derived. Electric field units would be force units divided by charge units, as the definition of an electric field is a force per charge.
F = |qvBsin()| calculates the magnetic force's magnitude. The following factors are involved in determining the force's direction. A plane is first defined by the magnetic field vector, B, and the velocity vector, v. In or out of this plane, the magnetic force is perpendicular to it.
Therefore, The electric force F, or Coulomb force, exerted per unit positive electric charge q at that place can be used to determine an electric field's strength, or E = F/q.
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How can I become an astronaut I'm currently 13 urs old
Two boxes are connected by a string. The first box has a mass of 4.2 kg and the
second 2.8 kg. A string attached to the first box pulls horizontally with a force of
7.5 N. Calculate the tension in the second string if the force of friction on the first
box is 2.0 N and the force of friction on the second is 1.6 N.
Answer:
........
Explanation:
A car is sitting still what could cause the car to move
why are the layers of the earth in the order that they are in?
Answer:
Each layer has its own properties, composition, and characteristics that affects many of the key processes of our planet. They are, in order from the exterior to the interior – the crust, the mantle, the outer core, and the inner core.
Explanation:
If the oil film becomes dark when the path length difference is less than one fourth the wavelength, what is the thickest the oil film can be and appear dark at all visible wavelengths
His question is incomplete, the complete question is;
A film oil on water will appear dark when it is very thin, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface.
If the oil film becomes dark when the path length difference is less than one fourth the wavelength, what is the thickest the oil film can be and appear dark at all visible wavelengths. Oil has an index of fraction of 1.40.
In this question, assume the wavelength visible light is in the range of 400 nm to 700 nm.
Answer:
the minimum thickness of the oil for destructive interference to occur is approximately 35.714 nm
Explanation:
Given the data in the question;
Path difference for destructive interference between the two reflected waves ( top and bottom );
δ = 2nt ---------- let this be equation 1
Also, for one path difference of reflected waves, one fourth of the wavelength of reflected waves;
δ = λ/4 ---------- let this be equation 2
from equation 1 and 2;
δ = δ
2nt = λ/4
we find t;
8nt = λ
t = λ / 8n
given that; λ[tex]_{minimum[/tex] = 400 nm and n = 1.40
we substitute
t = 400nm / 8(1.40)
t = 400nm / 11.2
t = 35.7142857 ≈ 35.714 nm
Therefore, the minimum thickness of the oil for destructive interference to occur is approximately 35.714 nm
can you explain the three main important reason why we use machine
Answer:
HERE IS YOUR ANSWER
Explanation:
1. The machines makes pur life easier.
2. It makes us do our works faster.
3. It does all the works that are harder for us.
Hope it helps you.
Explanation:
First of all some do most of the work for us
Second, us humans are quite lazy
Third, it makes it quite easier in life
True or False? The most reactive metals are found in Period 1 of the Periodic Table.
Hydrogen is a very reactive gas, and the alkali metals are even more reactive. In fact, they are the most reactive metals and, along with the elements in group 17, are the most reactive of all elements.
Answer:
Explanation:
true
A ball rolled 12.0 m [E] in 10.0 s, hit an obstacle, and rolled straight back. After the collision, the ball rolled 8.00 m [W] in 6.00 s. What was the average velocity of the ball?
Answer:
the average velocity of the ball is 5 m/s.
Explanation:
Given;
initial position of the ball, x₁ = 12 m East
final position of the ball, x₂ = 8 m West
initial time of motion, t₁ = 10.0 s
final time of motion, t₂ = 6.0 s
The average velocity is calculated as follows;
[tex]v = \frac{\Delta x}{\Delta t} = \frac{x_1 \ - \ x_2}{t_1 \ - \ t_2}[/tex]
let the Eastward direction be positive
Let the westward direction be negative
[tex]\frac{x_1 \ - \ x_2}{t_1 \ - \ t_2} = \frac{12 \ - \ (-8)}{10 -6}= \frac{20}{4} = 5 \ m/s[/tex]
Therefore, the average velocity of the ball is 5 m/s.
In a certain material, a beam of monochromatic light (f=5.09 × 10^14 Hz) has a speed of 2.04× 10^8 meters per second. The material could be
Question 14 options:
crown glass (n=1.52)
flint glass (n=1.66)
glycerol (n=1.47)
water (n=1.33)
Answer:
The Answer to question 14 is : glycerol (n=1.47)
The material should be considered as the glycerol (n=1.47).
Calculation of the material:Since
a beam of monochromatic light (f=5.09 × 10^14 Hz) has a speed of 2.04× 10^8 meters per second.
Now the material should be
= 3*10^8 / 2.04× 10^8
= 1.47
Hence, The material should be considered as the glycerol (n=1.47).
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A bmw 23 goes from 0 to 60 miles per hour in 5 seconds . It is also used in the second law of motion
Answer:
Acceleration = 5.3645 m/s²
Explanation:
Given the following data;
Initial velocity, u = 0mph
Final velocity, v = 60 mph
Time, t = 5 seconds
To find the acceleration (also used in the second law of motion), we would use the following formula;
A = (v - u)/t
Conversion:
Miles per hour to meters per seconds;
0 mph = 0 mps
1 mph = 0.44704 mps
60 mph = 60 * 0.44704 = 26.8224 mps
Next, we find the acceleration;
Acceleration = (26.8224 - 0)/5
Acceleration = 26.8224/5
Acceleration = 5.3645 m/s²
a simple pendulum is hollow from within and its time period is T. how is the time period of pendulum affected when:
a) ¼ of Bob is filled with mercury
b)¾ of Bob is filled with Mercury
c) the bob is completely filled with Mercury
The period of a pendulum is independent of the mass of the bob so whether it's empty or filled with something, the period remains the same.
[tex]period = 2\pi \sqrt{ \frac{length}{g} } [/tex]
Two asteroids are located a certain distance away from each other. They have the same mass . The gravitational force of attraction is f . If the mass of one of the asteroids is doubled, how will the gravitational force be affected
Answer:
F' = 2F
Explanation:
The gravitational force of attraction between asteroids is given by Newton's Law of Gravitation:
[tex]F = \frac{Gm_1m_2}{r^2}[/tex]
where,
F = Force
G = Universal Gravitational Constant
m₁ = m₂ = m = mass of each asteroid
r = distance between asteroids
Therefore,
[tex]F = \frac{Gm^2}{r^2}[/tex] --------------------- eq(1)
Now, if we double the mass of one asteroid:
[tex]F' = \frac{G(2m^2)}{r^2} \\\\F' = 2\frac{Gm^2}{r^2}[/tex]
using equation (1):
F' = 2F
Argon, atomic number 18, has an atomic weight of 39.9. Potassium, atomic number 19, has an atomic weight of 39.1. Which of these statements best explains why potassium has a lower atomic weight than argon?
A.
Potassium is reactive, while argon is typically inert.
B.
Potassium atoms lose electrons more easily than argon atoms.
C.
Potassium is typically a solid, while argon is typically a gas.
D.
Potassium atoms usually have fewer neutrons than argon atoms.
Answer: D
Explanation:
Atomic weight is measured by adding the number of protons and neutrons in an atom's nucleus. Argon's atomic number is 18 while potassium's is 19. This means that Argon will always have 18 protons while potassium will always have 19 protons.
To make the numbers easier to work with, round each atomic weight. We'll say the atomic weight of potassium is 39 and the atomic weight of argon is 40. To see how many neutrons each one has, I can set up a simple equation for each using the following equation:
Atomic weight = protons + neutrons
Potassium:
39 = 19 + N --> N = 20
Argon:
40 = 18 + N --> N = 22
An atom is defined by the number of protons it has, but the number of neutrons can vary. We call these isotopes, or atoms with the same number of protons but a different number of neutrons. As the math shows, argon typically has more neutrons per atom than potassium does.
A force is applied to a 12 kg box. The force is applied parallel to the motion of the box. Determine the force acting on the box if it moves 22 meters and increases the box’s speed from 10 m/s to 25 m/s.
Answer:
Force = 143.16 Newton
Explanation:
Given the following data;
Distance, S = 22 m
Initial velocity, U = 10 m/s
Final velocity, V = 25 m/s
Mass = 12 kg
To find the force acting on the box;
First of all, we would determine the acceleration of the box using the third equation of motion;
V² = U² + 2aS
25² = 10² + 2*a*22
625 = 100 + 44a
625 - 100 = 44a
525 = 44a
Acceleration, a = 525/44
Acceleration, a = 11.93 m/s²
Next, we find the force;
Force = mass * acceleration
Force = 12 * 11.93
Force = 143.16 Newton