A car is traveling on the road at a velocity (Vx) of 35m/s. A person in the passenger seat
has a tennis ball and is tossing the ball up in the air to himself. He throws the ball directly up
with a velocity (Vy) of 3m/s. An outside observer is sitting on a bench on the side of the street
watching the car pass.
a) To the person inside the car, the ball travels directly up and down. But to the
outside observer, what is the launch angle of the ball?
b) What is the ACTUAL Speed (IVI) of the ball when it leaves the person's hand?
c) What is the maximum height the ball will reach in the car?
d) How long will the ball stay in the air?
e) How far will the ball travel in the direction of travel on the road?
Answers
(a) The launch angle of the ball is 5⁰.
(b) The actual speed of the ball when it leaves the person's hand is 35.13 m/s.
(c) The maximum height reached by the ball is 0.46 m.
(d) The time spent in air by the ball is 0.26 s.
(e) The horizontal distance traveled by the ball on the road is 4.55 m.
Launch angle of the ball
The launch angle of the ball is calculated as follows;
[tex]tan(\theta) = \frac{V_y}{V_x} \\\\\theta = tan^{-1} (\frac{3}{35} )\\\\\theta = 5\ ^0[/tex]
Actual speed of the ballThe actual speed of the ball when it leaves the person's hand is calculated as follows;
[tex]V = \sqrt{V_x^2 + V_y^2} \\\\V = \sqrt{(35)^2 + (3)^2} \\\\V = 35.13 \ m/s[/tex]
The maximum height reached by the ballThe maximum height reached by the ball is calulated as follows;
[tex]Vy_f^2 = V_y_i^2 - 2gh\\\\0 = 3^2 - 2(9.8)(h)\\\\19.6h = 9\\\\h = \frac{9}{19.6} \\\\h = 0.46 \ m[/tex]
Time spent in air by the ballThe time spent in air by the ball is calculated as follows;
[tex]h=V_yt + \frac{1}{2} gt^2\\\\0.46 = 3t + 4.9t^2\\\\4.9t^2 +3t - 0.46 = 0\\\\a = 4.9, \ b = 3, \ c =- 0.46\\\\t = \frac{-b \ \pm \ \sqrt{b^2 - 4ac} }{2a} \\\\t = 0.13 \ s[/tex]
Total time for upward and downward motion = 2(0.13 s) = 0.26 s
Horizontal distance traveled by the ballX = Vx(t)
X = 35 x 0.13
X = 4.55 m
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Related Questions
Infrared radiation is part of a 'family' of waves that also includes visible light and radio waves. What name is given to this 'family'? Give the full name, not the abbreviation.
Answers
Infrared radiation is a part of electromagnetic waves,which also include the visible light and radio waves.
What are electromagnetic waves?The electromagnetic radiation consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.
The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.
In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.The position of an electromagnetic wave in an electromagnetic spectrum is characterized by it's frequency or wavelength.They are emitted by electrically charged particles which undergo acceleration and subsequently interact with other charged particles.
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i would appreciate your help
Answers
Answer:
22. C. Pz > Py > Px
23. B. 5.0 × 10⁴Pa
24. B. Upward thrust exerted by the liquid
25. B. The volume of the object immersed in the liquid decreases
26. D. When a body is wholly or partially immersed it experiences upthrust equal to the weight of the fluid displaced
Explanation:
22. The more you go deeper into the sea, the more the pressure of the water increases pushing down on you.
The reason why salt water is very dense is that when the salt dissolves in the water, it adds to the mass of the water, which makes the water more denser.
Due to this, we can assume that the water pressure exerted on the fish will be greater beneath the sea than the lake at the same depth.
Answer: C. Pz > Py > Px
----------------------------------------------------------------------------------------------------------
23.
Given:
Density of water = 1000 kg m⁻³
Atmospheric pressure at sea level, Patm = 1.0 × 10⁵ Pa]
Depth of water in sea = 5m
To find the pressure exerted by the water on the fish, we use the formula: P = hpg
P = pressure
h = height or depth of water
p = density of water
g = gravitational field strength
We are given the depth and density, but not the gravitational field strength
Gravitational Field Strength: Measures how much gravity there is
And since we live on earth, the gravitational field strength is 10 N/kg
Depth, h = 5m
Density, ρ = 1000 kg/m³
Gravitational Field Strength, g = 10 N/kg
Now we substitute these into the formula:
P = hpg
P = (5)(1000)(10)
Multiply 5 and 1000 to get 5000
P = 5000 × 10
Multiply 5000 and 10 to get 50000
P = 50000Pa
↓
P = 5.0 × 10⁴Pa
Answer: B. 5.0 × 10⁴Pa
----------------------------------------------------------------------------------------------------------
24. When a body is fully or partly immersed in a liquid, it undergoes an apparent loss in its weight due to upward thrust exerted by the liquid.
The upward thrust is the same as the weight of the fluid being displaced by an object.
Answer: B. Upward thrust exerted by the liquid
----------------------------------------------------------------------------------------------------------
25.
When you add common salt to water it becomes denser, which can increase the mass and volume of the water. Due to water becoming denser, it can make an object thats less dense float. Also, density and volume are inversely proportional to each other, meaning that when density increases, volume decreases.
Answer: B. The volume of the object immersed in the liquid decreases.
----------------------------------------------------------------------------------------------------------
26.
Achimede's principle states that:
Answer: D. When a body is wholly or partially immersed it experiences upthrust equal to the weight of the fluid displaced.
Can you jump and fall at the same time?
Answers
i hate you right now..... im gonna be thinking about this all day now....... ohhhhhhh no i need my 5 monsters now cause i aint sleepin now......
What are the advantages and disadvantages to whole-tire recycling?
Answers
Given what we know, we can confirm that whole-tire recycling has advantages for the environment, as well as economic disadvantages.
What are the Pros and Cons of recycling tires?Tires are made from rubber mixed with other substances such as steel and certain polyester fibers. This makes the tires a poor source of rubber and said rubber would not be of great quality when recycling, this along with the high cost of the process entails the disadvantages of recycling tires. The advantage, however, is environmental, as tires take up a great portion of the space in landfills and greatly pollute the air when burning.
Therefore, we can confirm that whole-tire recycling has advantages for the environment, as well as economic disadvantages due to its poor quality material and high cost of recycling.
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] After treatment, hospital equipment may become contaminated.
Describe the level of the hazard associated with contamination with technetium-99.
You should include in your answer a description of how the level of hazard changes
over time.
Answers
Answer:
below
Explanation:
The primary hazard when working with technetium is inhalation of dust; such radioactive contamination in the lungs can pose a significant cancer risk. All technetium compounds should be regarded as highly toxic, largely because of its radiological toxicity. Once in the human body, Tc-99 concentrates in the thyroid gland and the gastrointestinal tract. The body, however, constantly excretes Tc-99 once it is ingested.
What would likely happen if the fed changed reserve requirements?
Answers
Answer:
When the Fed adjusts the reserve requirement, it allows banks to charge lower interest rates.
Explanation:
Hope this helps.
Determino la masa en gramos y kilogramos de 1500 cm3 de alcohol etílico, cuya densidad es aproximadamente 790.0 Kg/m3. Tomar en cuenta que: Densidad (ρ) = masa (m)/volumen(v).
Answers
Para calcular el contenido en gramos de una bebida alcohólica basta con multiplicar los grados de la misma por la densidad del alcohol (0,8). El contenido de alcohol de una bebida depende de la concentración de alcohol y del volumen contenido.
The mass in grams and in kilograms of ethyl alcohol respectively is: a) 1185.0 g and b) 1185 kg
What is density?Density is an intensive property of matter. It represents the relationship between the mass and the volume of a body or substance. Its units are in the International System kg/m3, kg/L, g/ml, g/cm3, among others.
The density formula is:Density = m/V
The mass is obtained by clearing this equation
m=Density *Volume
datam= ?
V= 1500 cm3 * 1 * 10⁻⁶ m³ / 1 cm³ = 0.0015 m³ = 1.5 * 10⁻³ m₃
Density= 790.0 kg/m3
m = 790.0 kg/m³ * 1.5 * 10⁻³m³ = 1.185 Kgm = 1.185 kg * 1000 g/ 1 kg = 1185,0 gm= 1185,0 gSee more about this at:https://brainly.com/question/23704878The region around a magnet in which magnetic forces can act is called the
magnetic field.
domain.
pole.
solenoid.
Answers
Answer:
magnetic fieldExplanation:
The region around a magnet in which magnetic forces can act is called a magnetic field.
Domain is not related to this topic ⇒ MathematicsPole ⇒ Magnets possess both North and South polesSolenoid ⇒ A iron core around which a wire is usually coiledAnswer 1-10 for branly all steps
Answers
The acceleration, a of the bodies given is the change in velocity with time and is given as follows:
a = 1.2 m/sa = 25 km/hra = 35.3 cm/mina = 7.125 km/mina = 1.69 m/sa = 108.1 m/hra = -1.0 cm/sa = 7.89 km/hra = 1.17 ft/sa = 3.13 km/hrWhat is acceleration?Acceleration is the rate of changeof velocity of an object with time.
Acceleration, a = change in velocity/time takenFor the given questions, the acceleration are as follow:
a = (40 - 10)/25 = 1.2 m/sa = (75 - 30)/1.8 = 25 km/hra = (90 - 60)/0.85 = 35.3 cm/mina = (77 - 20)/8 = 7.125 km/mina = (37 - 15)/13 = 1.69 m/sa = (40 - 0)/0.37 = 108.1 m/hra = (13 - 25)/12 = -1.0 cm/sa = (48 - 18)/3.8 = 7.89 km/hra = (52 - 38)/12 = 1.17 ft/sa = (43 - 17)/8.3 = 3.13 km/hrTherefore, the acceleration of a body is either positive or negative.
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What evidence supports the conclusion that a chemical reaction has occurred?
Answers
Answer:
Precipitation formed
Temperature change
fizzing and hissing
bubbles
change in state
Explanation:
Answer:
Precipitation formed
Temperature change
fizzing and hissing
bubbles
change in state
Explanation:
Convert the orbital period 27.32 days into units of seconds
Answers
Answer:
[tex]2360448seconds[/tex]
Explanation:
Dimensional analysis is attached.
When working with a conservative force, it is generally easier to work with a potential energy function, which is a scalar, than to compute the work along some path from the forces and displacements, which are vectors. the change in the potential energy of an object depends only upon its initial and final position, but it is independent of the path undertaken to move between those positions. some effort is initially required to obtain the potential energy function. consider a block of mass m attached to the end of a horizontal hooke's law spring with spring constant k. the block is free to move along a frictionless horizontal surface, and displacements are measured from the equilibrium position of the spring, taken here as the origin of the coordinate system.
a = fs = - k x iì‚
b = ds = dx iì‚
c = dw = - k x dx
d = dus = k x dx
required:
a. a finite change in the potential energy may be obtained by integrating infinitesimal changes. what integral expressions is correct for this hooke's law spring?
b. perform the integrations, and input an expression for the change in the potential energy of the spring, also known as the elastic potential energy.
Answers
a. The integral expression for the change in potential energy of the spring is ΔU = ∫kxdx
b. The change in potential energy of the spring is ΔU = k(x₂² - x₁²)/2
Since we are given the differential elastic potential energy, du, to find the integral expression, we integrate du.
a. The integral expression for the change in potential energy of the springThe integral expression for the change in potential energy of the spring is ΔU = ∫kxdx
Since the infinitesimal elastic potential energy of the spring du = kxdx, integrating both sides of the expression, we have
ΔU = ∫du
ΔU = ∫kxdx
So, the integral expression for the change in potential energy of the spring is ΔU = ∫kxdx
b. The elastic potential energy of the springThe change in potential energy of the spring is ΔU = k(x₂² - x₁²)/2
Performing the integration for the change in potential energy of the spring
ΔU, we have that integrating for change in length from x₁ to x₂
ΔU = ∫kxdx
ΔU = k[x²/2]₁²
ΔU = kx₂²/2 - kx₁²/2
ΔU = k(x₂² - x₁²)/2
So, the change in potential energy of the spring is ΔU = k(x₂² - x₁²)/2
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A sample of an unknown substance has a mass of 0.465 kg. if 3,000.0 j of heat is required to heat the substance from 50.0°c to 100.0°c, what is the specific heat of the substance?
Answers
The specific heat of the substance will be 0.129 J/g°C.
What is specific heat capacity?The amount of heat required to increase a substance's temperature by one degree Celsius is known as specific heat capacity.
Similarly, heat capacity is the relationship between the amount of energy delivered to a substance and the increase in temperature that results.
The given data in the problem is;
Q is the amount of energy necessary to raise the temperature = 3,000.0 j
M is the mass= 0.465 kg.
Δt is the time it takes to raise the temperature.=50°c
s stands for specific heat capacity=?
Mathematically specific heat capacity is given by;
[tex]\rm Q= MC \triangle t \\\\ C = \frac{Q}{M\triangle t} \\\\ C = \frac{3000}{0.465 \triangle 50} \\\\ C =129.0 J/Kg^0C \\\\ C= 0.129 J/g^0C[/tex]
Hence the specific heat of the substance will be 0.129 J/g°C.
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How much work do you do on a 25- kg backpack when you walk a horizontal distance of 100m ?
Answers
Answer:
2,500
Explanation:
A gyroscope flywheel of radius 2.12 cm is accelerated from rest at 16.2 rad/s2 until its angular speed is 1820 rev/min. (a) what is the tangential acceleration of a point on the rim of the flywheel during this spin-up process
Answers
The tangental acceleration of the flywheel of radius 2.12 cm with a final angular velocity of 1820 rev/min and an angular acceleration of 16.2 rad/s is 0.34 m/s².
What is tangental acceleration?This is the rate of change of tangental velocity of an object in circular motion.
To calculate the tangental acceleration, we use the formula below.
Formula:
a = αr............. Equation 1Where:
a = Tangental accelerationr = radius of the flywheelα = Angular acceleration of the flywheel.From the question,
Given:
r = 2.12 cm = 0.0212 mα = 16.2 rad/s²Subsitute these values into equation 1
a = (0.0212×16.2)a = 0.34 m/s²Hence, The tangental acceleration of the flywheel of radius 2.12 cm with a final angular velocity of 1820 rev/min and an angular acceleration of 16.2 rad/s is 0.34 m/s².
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A 150- branch in a circuit must be reduced to 93 . A resistor will be added to this branch of the circuit to make this change. What value of resistance should be used and how must the resistor be connected
Answers
The value of resistance that should be used is 244.74 Ohms and the resistor must be connected in parallel.
Given the following data:
Initial resistance, R₁ = 150 Ohms.Final resistance, R₂ = 93 Ohms.What is a parallel circuit?A parallel circuit can be defined as an electrical circuit with the same potential difference (voltage) across its terminals.
In order to determine the magnitude of a resistor that should be added to this branch of the circuit, the electrical circuit would be connected as a parallel circuit.
Next, the total effective resistance of this electrical circuit is given by:
RT = (R₁ × R₂)/(R₁ - R₂)
RT = (150 × 93)/(150 - 93)
RT = 13950/57
RT = 244.74 Ohms.
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What resultant force is required to accelerate a 1600kg automobile uniformly from 8m/s to 30m/s in 10s?
Answers
Answer:
3520
Explanation: Force = Mass x Acceleration [∴ or F = ma]. Given values. mass, m = 1600 kg; initial velocity, u = 8 m/s; final velocity, v = 30 m/s; time taken, t = 10 s.
Ers), and
1. A paintball with a mass of 0. 15 kg is fired from a paintball gun that has a mass of 5. 5 kg. The paintball leaves the
gun with a velocity of 45 m/s [N] having accelerated for only 0. 10 s. Calculate the acceleration and the final
velocity of the paintball gun.
Please help
Answers
Answer:
-13.5 m/s^2
-1.35m/s
Explanation
First, find the momentum of the paintball by using the formula [tex]p=mv[/tex].
[tex]p=0.15*45[/tex]
[tex]p = 6.75[/tex]
The next step would be to find the change of momentum of the gun. Since the gun was at rest it had a momentum of 0. Momentum acts in different directions equally, therefore we can set up the equation for the acceleration:
FΔt=Δp
Where F is force, Δt is the change of time and Δp is the change of momentum.
Since we solve for acceleration, we can convert F to ma to get:
maΔt=Δp
Substitute values:
5a*(0.1-0)=-6.75
5a=-67.5
a=-13.5
Our a is -13.5m/s^2, it's negative since the direction it's acting on is opposite of the paintball.
Now we can find velocity (and double-check our work!).
The first way to solve for velocity is:
[tex]V=Vi+at[/tex]
Where V is final velocity, Vi is initial, a is acceleration and t is time.
substitute values:
[tex]V=0-13.5*0.1\\V=-1.35m/s[/tex]
If we are correct, using the formula p=mv, we should get the same result (remember, our momentum is negative).
[tex]p=mv\\-6.75=5v\\-1.35m/s=v[/tex]
Hope this helps!
To clean the floor, David exerts a 40 N force on a broom handle to push it 2 m, what is the work done by David on the broom?
Answers
Answer:
80Nm
Explanation:
work done = force x distance
force= 40N, distance = 2m
work done= 40 x 2 = 80Nm
a 20-kg object travelling at 20 m/s collides head on with an 18-kg object travelling at 17 m/s.If they were locked together after the collision, what is their velocity?.
Answers
Answer:
2.47 m/s
Explanation:
Momentum = Mass X Velocity
If they were locked together, it means its a perfectly inelastic collision. Therefore,
Total momentum before = Total momentum after
Total momentum before = (20 X 20) - (18 X 17)
= 94
Total momentum after = 94
Y = Object speed after collision
94 = (20+18)Y
Y = 2.47368421 m/s
Proper use of the friction zone makes it easier to:.
Answers
Friction is the opposition offered to the movement of a surface on another and depends on the nature of the surfaces in contact.
What is friction?The term friction refers to the opposition that is offered by surfaces in contact when they move over each other. The question is incomplete but I will try to help you the much I can.
Now recall that fricton only depends on the nature of the surfaces in contact. The friction is te reason when heat is provides in the moving parts of machines.
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A girl kicks a soccer ball into the air. Which of these best explains why the soccer ball falls back to Earth?
a.the motion of the ball is changed by extreme forces
b.the acceleration of the ball is unstable
c.the force exerted on the ball is greater than gravity
d.the pressure on the ball changes with altitude
Answers
Answer:
a
that extreme force is gravity changing the moshon
Question 4
20 pts
A student connects a length of unknown
material in series with a battery and an
ammeter (which measures current flow).
When the circuit is complete, the ammeter
reads that no current is flowing.
The unknown material is most likely –
Insulator
Semiconductor
Superconductor
Conductor
Answers
If current did not flow in the circuit, it simply implies that the material is an insulator.
What is an insulator?An insulator is a material that does not conduct electricity. A circuit is a path that is provided for the flow of current.
If this material was connected into a complete circuit yet current did not flow in the circuit, it simply implies that the material is an insulator.
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A transformer has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil. If the input voltage is 2,400 V, what is the output voltage? - this is for my physical science class
Answers
the output voltage of the transformer that has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil is 120 V
What is a transformer?A transformer is an electrical device that transfer electric energy from one circuit to another.
To calculate the output voltage of the transformer, we use the formula below.
Formula:
V/V' = N/N'........... Equation 1Where:
V = Primary/input VoltageV' = Secondary/output voltageN = Primary turnsN' = Secondary turnsMake V' the subject of the equation
V' = VN'/N........... Equation 2From the question,
Given:
V = 2400 VN' = 50 turnsN = 1000 turns.Substitute these values into equation 2
V' = (2400×50)/1000V' = 120 VHence, the output voltage of the transformer that has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil is 120 V.
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explain the concept of force by practical examples of daily life
Answers
Answer:
a bicycle moving
Explanation:
due to the force that is applied towards the wheels of a bicycle and also gravitation the wheels. of a bicycle are therefore able to move
How well do you think a model can demonstrate the principles of stratigraphy?
Answers
Stratigraphy is a discipline aimed at identifying layers of sedimentary and/or volcanic rocks, which is mainly based on the principle of superposition.
What is stratigraphy?
Stratigraphy refers to the science based on the identification of different layers in sedimentary and/or volcanic rocks.
Stratigraphy as a discipline is mainly cemented on the principle of superposition, which indicates that older layers of sediment are located on the bottom.
Stratigraphy allows us to understand the geological past of a region, which is important in different disciplines such as biogeography.
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If the gravitational force on an object is directly proportional to its mass, why don’t objects with large masses fall with greater acceleration than small ones?.
Answers
This group of elements is in group 2?
Answers
Answer:
If you meant the Periodic Table it's the alkaline-earth metal
beryllium (Be)
magnesium (Mg)
calcium (Ca)
strontium (Sr)
barium (Ba)
radium (Ra)
Explanation:
Imagine that our Sun were magically and suddenly replaced by a black hole of the same mass (1 solar mass). How would Earth's orbit change
Answers
There is no effect on earth's orbit due to similar force of gravity of black hole.
How would Earth's orbit change?If our Sun was replaced with a black hole having the same mass, Earth's orbit will not changed because of the same force of gravitation of balck hole on earth. Due to this replacement, Earth's temperature will change because balck hole is not too hot like sun.
So we can conclude that there is no effect on earth's orbit due to similar force of gravity of black hole.
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What is simple harmonic oscillation? express your answer verbally, mathematically, and visually.
Answers
Simple harmonic motion is the motion in objects where the restoring for d is directly proportional to the body displacement.
What is simple harmonic motion?Simple harmonic motion a type of periodic motion where the force that restores moving object to it's right position is directly proportional to the magnitude of body's displacement and this normally acts towards the object's equilibrium position.
The formulate for simple harmonic motion are
,F = −kx, where F is the force, x is the displacement, and k is a constanst. An example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring.
Simple harmonic oscillator can be represented by the equation x ( t ) = A cos ( 2 π f t ) x(t) = A\cos(2\pi f t) x(t)=Acos(2πft)x,
where t is period.
x is displacement
A is amplitude.
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