9. An object is launched at a velocity 40m/s in adirection making an angle of 60° upward with the horizontal.
a)what is the maximum height reached by the object?
b)what is the time of the object?
c)what are the horizontal and vertical componenet of vectors?
Answers
Answer:
a) 61.224 m
b) t = 7.070 seconds
c) horizontal component = 20 m/s; vertical component = 34.641 m/s
Note: I rounded all of these values to the nearest thousandth but if you want the precise values please read the explanation below.
Explanation:
Horizontal and Vertical Components:Let's start this problem by solving for the horizontal and vertical components of the initial velocity vector.
We can solve for these x- and y-components by using the formulas:
h. component: [tex]v_i \times cos \theta[/tex]v. component: [tex]v_i \times sin \theta[/tex]Where [tex]v_i[/tex] is the initial velocity (here it's given to us: 40 m/s) and [tex]\theta[/tex] is the angle at which the object is launched above the horizontal (it's also given to us: 60°).
Substitute these given values into the formulas to solve for the horizontal and vertical components:
h. component = [tex]40 \times $cos(60)[/tex] v. component = [tex]40 \times $sin(60)[/tex]Input these values into a calculator and you will get:
h. component = 20 m/sv. component = 34.641 m/sTime of the Object:Now we want to solve for the time t of the object before finding the maximum height of the object. In other words, the max height of the object is its vertical displacement at half of the time t we're about to find.
In order to solve for t, we can use one of the constant acceleration equations we are given in Physics. This equation is:
[tex]v_f=v_i+at[/tex]The time t is always solved for by using the vertical (y-direction) motion of the object in projectile motion, so therefore, we are going to be using this equation in terms of the y-direction.
[tex](v_f)_y = (v_i)_y + a_yt[/tex]Time is the same regardless of the x- or y- direction.
Now, we don't necessarily know the final velocity of the projectile, but we do know its final velocity in the y-direction at the very top of the trajectory, which is 0 m/s.
We can use this to our advantage and solve for only half of the time t, then multiply it by 2 at the end to get the full time that the object is in the air.
We have already solved for [tex](v_i)_y[/tex], which is the vertical component. We know that an object in projectile motion has an acceleration of -g in the y-direction, so we use -9.8 m/s² for a.
[tex]0=(40\times $sin(60)) + (-9.8)t[/tex]Subtract the vertical component from both sides of the equation.
[tex]-(40 \times $sin(60))= -9.8t[/tex]Divide both sides of the equation by -9.8 in order to solve for t.
[tex]\text{t}=3.534797566\ \text{seconds}[/tex]Remember that this is only half of the time that the object spends in the air. However, this is the time that it takes for the object to reach its maximum height, which we will use later. For now, let's say that the time of the object is 2t.
[tex]\text{2t = 7.069595132 seconds}[/tex] Maximum Height of the Object:In order to find the maximum height of the object, let's use another kinematic equation for constant acceleration:
[tex]$x_f=x_i+v_it+\frac{1}{2} at^2[/tex]Since we are still dealing with the y-direction, we can change this equation to be in terms of y.
[tex]$(x_f)_y = (x_i)_y + (v_i)_yt + \frac{1}{2} a_yt^2[/tex]The displacement in the y-direction, or the vertical displacement, can be modeled by subtracting [tex](x_i)_y[/tex] from both sides of the equation.
[tex]$\triangle x_y = (v_i)_yt + \frac{1}{2} a_yt^2[/tex]In order to solve for the maximum height of the object, we want to use the time t that it takes for the object to reach its highest point, which we found was ~3.53 seconds. This is true because the object essentially follows the movement of a parabola.
We know the vertical component [tex](v_i)_y[/tex] , and we know the acceleration in the y-direction is -g, so let's substitute these values into the formula for vertical displacement and solve for [tex]\triangle x_y[/tex].
[tex]$\triangle x_y = (40 \times \text{sin}(60))(3.534797566) + \frac{1}{2} (-9.8)(3.534797566)^2[/tex] [tex]$\triangle x_y = (122.4489796) + \frac{1}{2} (-9.8)(3.534797566)^2[/tex] [tex]$\triangle x _y = (122.4489796) -(4.9 \times 3.534797566^2)[/tex] [tex]$\triangle x_y = (122.4489796) - (61.22448978)[/tex] [tex]$\triangle x_y = 61.2244898[/tex]The maximum height of this object in projectile motion is 61.224 m.
(This answer exceeded the character limit if I included the "Helpful Shortcuts" section, so I included it as an attachment in case you're interested.)
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D.) become a giant and eventually form a dwarf star
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While john is traveling along a straight in interstate highway, he notices that the mile marker reads 242 mm. John travels until he reaches the 147 km marker and then retraces his path to the 161km marker. What is John's resultant displacement from the 242km marker? How far has he traveled answer in units of km
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Complete Question
While john is traveling along a straight in interstate highway, he notices that the mile marker reads 242 km. John travels until he reaches the 147 km marker and then retraces his path to the 161 km marker. What is John's resultant displacement from the 242 km marker? How far has he traveled answer in units of km
Answer:
The resultant displacement [tex]\Delta x _{1 , 3} = 81 \ km[/tex]
The total distance traveled by john is [tex]x_t =109 \ km[/tex]
Explanation:
From the question we are told that
The first position of john from the finish point is [tex]x_1 = 242 \ km[/tex]
The second position of john from the finish point is [tex]x_2 = 147 \ km[/tex]
The third position of john from the finish point is [tex]x_3 = 161 \ km[/tex]
Generally the displacement from the 242 km marker is mathematically represented as
[tex]\Delta x _{1 , 3} = x_1 - x_3[/tex]
Here we used [tex]x_3[/tex] instead of [tex]x_2[/tex] because [tex]x_3[/tex] is further than [tex]x_2[/tex] from the finish point
=> [tex]\Delta x _{1 , 3} = 81 \ km[/tex]
Generally the total distance traveled by John is mathematically evaluated as
[tex]x_t = [x_1 - x_2 ] + [x_3 - x_2][/tex]
=> [tex]x_t = [242 - 147 ] + [161 - 147][/tex]
=> [tex]x_t =109 \ km[/tex]
6. A total of 135 J of work is done on a gaseous refrigerant as it undergoes compression. If
the internal energy of the gas increases by 114 J during the process, what is the total amount
of energy transferred as heat? Has energy been added to or removed from the refrigerant as
heat?
Answers
Answer:
Eh = 21 [J]
Removed as heat.
Explanation:
This is a case of energy conservation, we have to take into account the energies that go in and out of the system. In this case, 135 [J] of energy are entered in the form of work of the compressor to the chamber where the refrigerant is compressed, now of these 135 [J] 114 [J] were used as internal energy, this internal energy is used to increase the pressure and temperature of the refrigerant.
In this way the rest of the energy of the 135 [J] was lost in the form of heat to determine this loss of energy, we simply perform the arithmetic subtraction.
Eh = 135 - 114 = 21 [J]
Eh = 21 [J]
What moon phase would happen immediately before the shown phase?
Waning Crescent
Waxing Gibbous
Full Moon
New Moon
Answers
Answer:
waning crescent
Explanation:
Waxing Crescent - Rises before noon, transits meridian before sunset, sets before midnight
Answer:
new moon
Explanation:
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Answers
Answer:
Vf = - 3 [m/s]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f} =v_{o} +a*t[/tex]
where:
Vf = final velocity [m/s]
Vo = initial velocity = - 7 [m/s]
a = acceleration = 1 [m/s²]
t = time = 4[s]
Now replacing:
Vf = -7 + (1*4)
Vf = - 3 [m/s]
A rope attaches a tire to an overhanging tree limb. A girl swinging on the tire has a
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tangential speed?
Answers
V = square root (12.4) = 3.5 m/s
Which experimental discovery led Niels Bohr to revise Rutherford's model of
the atom?
A. Most alpha particles pass straight through a thin sheet of gold
foil.
B. Electrons have more energy the farther they are from the nucleus.
C. A few alpha particles bounce off a thin sheet of gold foil.
D. The beam in a cathode ray tube is moved by an electric force.
Answers
Answer:
Electrons have more energy the farther they are from the nucleus.
Explanation:
A P E X
Please need help ASAP 15 points????I need a,b,c
Answers
Answer:
The acceleration is negative and very close to zero.
Very Small, because it slowly comes to a stop, which means there is nothing to stop it any faster
It would keep traveling in that direction without slowing down
Explanation:
Answer:
A,B,C
Explanation:
A) because the ball is slowing down that means that the acceleration is changing and is slowing. It also means that it has negative acceleration because it is going the opposite way of velocity. When it stops then there is no more acceleration
B) Net force is calculated by the sum of the forces that are acting on the object. If the net force is unbalanced then it will speed up, slow down, or change direction. So basically, net force is an unopposed force that causes a change in motion. First, it has a net force because it's moving and is not in equilibrium. Second, the net force would be changing as it is stopping. When it stops then it would be in static equilibrium. Basically, the net force is changing as the speed slows down until it comes to a state of equilibrium.
C) If it was in space then it would never stop. Because of the law of inertia, an object in motion will stay in motion as long as there are no other opposing forces. Because there really aren't opposing forces in space, it would keep on going forever.
Line BD is the perpendicular bisector of CA. What additional information would be sufficient to prove that triangle BDA is congruent to triangle BDC by SAS.
Answers
Answer:
DA ≅ DC (since BD is equidistant to A and C)
Explanation:
A line bisector is one that divides a given line into two equal parts. And which is equidistant from the ends of the bisected line.
Given: BD is the perpendicular bisector of CA.
Thus:
BD is equidistant to A and C
Also, BD is a common side to ΔBDA and ΔBDC
DA ≅ DC (since BD is equidistant to A and C)
<BDA ≅ <BDC (congruent property)
<ADB ≅ <DBC (alternate angle property)
<CDB ≅ <ABD (alternate angle property)
Thus,
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Answers
A car's acceleration is 3m/s2. If the car started at rest and it only took 10s for the car to reach this acceleration, what is the car's final velocity?
Answers
Answer:
30m/s
Explanation:
From law of motion equation
Vf= Vi + at
Where Vf= final velocity
Vi= initial velocity=0(the car started at rest)
a= acceleration= 3m/s2
t= time= 10s
Then substitute into the equation to get the final velocity.
Vf= 0+(10×3)
Vf= 30m/s
Hence, the car's final velocity is 30m/s
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Answers
Answer:
20000
Explanation:
f=m*a
mass=5000
a=4
5000*4=20000
3. When a person is outside of the system and they add energy to the
system, we show this energy as
Answers
Answer:
We show added energy to a system as +Q or -W
Explanation:
The first law of thermodynamics states that, in an isolated system, energy can neither be created nor be destroyed;
Energy is added to the internal energy of a system as either work energy or heat energy as follows;
ΔU = Q - W
Therefore, when energy is added as heat energy to a system, we show the energy as positive Q (+Q), when energy is added to the system in the form of work, we show the energy as minus W (-W).
All elements are composed of extremely small particles called
Answers
As the ball rolls down the ramp, there are changes in kinetic and potential energy. How much kinetic energy does the
ball have when it reaches point B?
A) 0J
B) 25J
C) 50J
D)100J
Answers
The answer is C, 50J
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What effect will the following have on the inertia of a body if
(i) the force acting on it is increased.
(ii) the mass of the body is reduced.
Answers
Explanation:
Inertia is the tendency of a body to remain at rest or to do nothing.
It is the resistance to any change in position of body.
When the force on a body increases, the inertia reduces
When the mass is reduced the inertia reduces
According to newton's first law or the law of inertia "an object will remain in its state of rest or of uniform motion unless if it is acted upon by an external force".
- A type of elevator called a cage is used to raise and lower miners in a mine
shaft. Suppose the cage carries a group of miners down the shaft. If the
unbalanced force on the cage is 60.0 N, and the mass of the loaded cage is
1.50 10 kg, what is the acceleration of the cage?
Answers
A bicycle travels 22 km in 0.50 hr. What is its average speed?
Answers
Answer:
22/0.50=44
Explanation:
average speed= distance / time
A projectile has an initial x-velocity of 4 m/s, and an initial y-velocity of 27.7 m/s. What is the range of the projectile
Answers
Answer:
I love yourself help yourself
Differentiate between the focus and the epicenter of an earthquake.
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Cellular respiration takes place in the mitochondria of cells.
Answers
Answer:
True
Because mitochondria is the powerhouse of the cell.
Explanation:
Hope this helps you
Answer:
True
Explanation:
Is it possible to generate emf without rotating the coil explain
Answers
Answer:
It's not possible.
Explanation:
It's not possible.
This is because when a coil is rotated in a magnetic field about a line which is not the axis of the coil, the magnetic coil with a link going through the coil will change and thus an EMF will be produced.
Now, this EMF produced is gotten as a result of cutting action through lines of magnetic flux gotten through rotation (physical movement) of the coil through space.
Faraday's law allows finding the result for whether it is possible to create induced electromotive force (emf) without rotating the coil are:
Producing a pulsating voltage is possible change the magnetic field the area of the loop. Producing constant voltage is not possible since a uniform change of some parameter is required and the only one that can change is the angle constantly.
Faraday's Law states that by varying the magnetic flux an electromotive force is produced.
[tex]emf = - \frac{d \Phi_B }{dt} \\\Phi_B = B . A[/tex]
Where emf is the induced voltage, Ф the magnetic flux, B the magnetic field and A the area of the loop
We can write the flow explicitly.
Ф = B A cos θ.
Therefore we see that there is some form of having this changing flow:
Changing the magnitude of the magnetic field. Changing the area of the loop. Changing the angle between the normal to the area and the magnetic field direction.
The first two methods are used in pulsating fields, that is, a voltage is obtained for a short period of time.
The last method is used in equipment that can give indicated voltage in a constant way, it is the method used to produce electricity, it consists of an external system that rotates the loop with a constant speed and produces an output voltage.
In conclusion using Faraday's law we can find the result for whether it is possible to create induced electromotive force (emf) without rotating the coil are:
Producing a pulsating voltage is possible change the magnetic field the area of the loop Producing constant voltage is not possible since a uniform change of some parameter is required and the only one that can change is the angle constantly.
Learn more here: brainly.com/question/1640558
Which two elements have similar properties and 8 electrons in their
outermost shells?
Answers
Answer:
A. Neon and argon
General Formulas and Concepts:
Reading the Periodic Table of ElementsValence Shell configurationsExplanation:
Elements that have a full valence shell (the outermost shell), are in Group 18 of the Periodic Table.
Because their outermost shell is full, they are inert, meaning that they do not like to bond or react with other elements.
Therefore, these gases with a stable full valence shell are known as Noble Gases.
HeliumNeonArgonKryptonXenonRadonA. would be the correct answer.
Answer:argon and krypton
Explanation:
Noble gases
The amount of work done to bring an electron (q = −e) from right side of hydrogen nucleus to left side in the k shell is__________. Let the radius (r) of atom is 52 pm a) Zero b) infinity c) Fr d) 2Fr
Answers
Answer:
d) 2Fr
Explanation:
We know that the work done in moving the charge from the right side to the left side in the k shell is W = ∫Fdr from r = +r to -r. F = force of attraction between nucleus and electron on k shell. F = qq'/4πε₀r² where q =charge on electron in k shell -e and q' = charge on nucleus = +e. So, F = -e × +e/4πε₀r² = -e²/4πε₀r².
We now evaluate the integral from r = +r to -r
W = ∫Fdr
= ∫(-e²/4πε₀r²)dr
= -∫e²dr/4πε₀r²
= -e²/4πε₀∫dr/r²
= -e²/4πε₀ × -[1/r] from r = +r to -r
W = e²/4πε₀[1/-r - 1/+r] = e²/4πε₀[-2/r} = -2e²/4πε₀r.
Since F = -e²/4πε₀r², Fr = = -e²/4πε₀r² × r = = -e²/4πε₀r and 2Fr = -2e²/4πε₀r.
So W = -2e²/4πε₀r = 2Fr.
So, the amount of work done to bring an electron (q = −e) from right side of hydrogen nucleus to left side in the k shell is W = 2Fr
The red car drive on a motor way in 800 m/s.The
driver of the Green car want to dive in that speed in
20 seconds.How many distance can he travel?
Answers
So the green car would be able to drive 40m
Which is the best description of a balanced diet?[food pyramid]
A. A vegetarian diet that includes no meat
B. A diet that consists of fewer than 2,000 calories per day
C. A diet that includes a wide variety of nutritious foods
D. A diet in which you eat at most three times a day
Answers
Answer:
A vegetarian diet that includes no meet is the best description of a balanced diet
Answer:
I should be B
Explanation:
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with what force will the a car hit a tree if the car has a mass of 3,000 kg and a acceleration of 2m/s^2
Answers
Answer:
The answer is 6000 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 3000 × 2
We have the final answer as
6000 NHope this helps you
the value of g is greater at the poles than at the equator why
Answers
Answer:
because the gravitational pull is maximum at the poles and decreases as it comes down toward the equator.
What is the Law of Conservation of Energy?
Answers
Answer:
The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another.
Explanation:
Hope this helped, Have a Great Day!!
