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
The batteries of some flashlights can be charged by turning a handle. Which energy transformation is happening in this process
Answers
The energy transformation that is happening in this process is mechanical energy to chemical energy.
Energy ConversionAccording to conservation of energy, energy can not be distroyed and cannot be created, but can only be transformed from one form to another.
The batteries of some flashlights can be charged by turning a handle. The energy transformation that is happening in this process is mechanical energy to chemical energy. The chemical energy will transform to electrical energy which will eventually transform to light energy.
The turning of the handle is mechanical and the energy in battery is chemical.
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Use the formula KE = 0. 5 mv2. What is the velocity of a platform diver if her kinetic energy is 12,000 J and her mass is
40 kg?
Answers
[tex]\text{Kinetic energy,}\\\\~~~~E_k = \dfrac 12 mv^2\\\\\implies v^2 = \dfrac{2 E_k}m\\\\\implies v = \sqrt{\dfrac{2E_k}m}\\\\\implies v = \sqrt{\dfrac{2 \times 12000}{40}}\\\\\implies v = 24.49~~ \text{ms}^{-1}\\\\\text{Velocity of the platform diver is 24.49 m/s}[/tex]
You want to determine whether the mass of an object attached to a parachute affects the time it takes to fall to the ground. In this investigation, would "the material the parachute is made out of" be a suitable control variable? no or yes
Answers
The material the parachute is made out of" will not be a suitable control variable as it is needed in the research.
What is a control variable?It should be noted that a control variable simply means any variable that is held constant in a research.
In this case, the material the parachute is made out of" will not be a suitable control variable as it is needed in the research.
Therefore, it's false.
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How many times has the Sun orbited around the Milky Way since the Sun first formed, if the Sun makes one orbit every 231 million years
Answers
Answer:
It would depend on the amount of years.
Explanation:
I don’t think this is very helpful-
Have a great day!
Anygays-
If the distance between two objects is tripled, what happens
to the gravitational force between them?
A. It decreases to 1/3 its original magnitude.
B. It increases to 9 times its original magnitude.
C. It increases to 3 times its original magnitude.
D. It decreases to 1/9 its original magnitude.
.
Answers
Answer:
D)it decreases to 1/9 its original magnitude
Please someone help me with this physics work.
Answers
Answer:
The first reactant is methane, the next is oxygen, the first product is carbon dioxide and the second product is water.
The word equation is:
methane + oxygen → carbon dioxide + water
The balanced symbol equation is:
CH₄ + 2O₂ → CO₂ + 2H₂O
Explanation:
In any combustion reaction, fuel is burned in the presence of oxygen to produce carbon dioxide and water.
An equation is balanced when there are the same number of atoms of each element on both sides of the arrow.
Hope this helps!
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
Find the ( mass m ) when system is equilibrium help me pleasee this choice is
1. 4 kg
2. 6.25 kg
3. 10 kg
4. 12.5 kg
5. 25 kg
please show solution
Answers
Answer:
5. 25 [kg].
Explanation:
1) the final ratio is:
m_20kg *g=m*g/cos37°; ⇒ m= m_20kg / cos37°;
2) answer is:
m=20/0.8=25 [kg].
A light wave was calculated to have a length of 4x10^-7 m. what would the energy in the wave be?
Answers
λ = 5 x 10^-7 m, i.e the wavelength
to find:the energy in the wave.
solution:= c / λ
c =( 3 x 10^ 8 m/s)
f = 3x10^8ms-¹ /5 x10^-7m
= 6x10^14 Hz.
The density of water is 1.0 gram per milliliter at 4 degrees Celsius.
Shelby drops a spoonful of sugar into water at this temperature and it
sinks to the bottom of the container. Compare the densities of the sugar
and water and explain how this affects the position of the sugar in the
liquid water.
Answers
Sugar molecules present at the bottom of solution due to more mass.
Which is more denser water or sugar?Table sugar is more dense than water due to the presence of more mass of sugar molecule as compared to water. We know that denser objects has more mass so that's why sugar molecules present at the bottom of solution due to more mass.
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Below, you will see a nuclear fission reaction: NUCLEAR FISSION A neutron slams into a Uranium-235 atom beginning the fission process. The products of this reaction are: Barium-141; Krypton-92; and 3 neutrons. + + + + + Please write the equation in the blanks below:
Answers
The nuclear fission reaction of Uranium-235 atom produces Barium-141, Krypton-92 and 3 neutrons.
What is nuclear fission?Nuclear fission is a nuclear reaction in which the atomic nucleus of a heavier element disintegrates or splits to produce two or more atoms of elements with smaller nuclei.
The nuclear fission reaction in which a neutron is used to bombard the nucleus of Uranium-235 atom to produce Barium-141, Krypton-92 and 3 neutrons is given below
[tex]_{235}U + \: _{1}n^{o} \rightarrow \: _{141}Ba+ \: _{92}Kr + 3 \: _{1}n^{o} [/tex]
Therefore, the nuclear fission reaction of Uranium-235 atom produces Barium-141, Krypton-92 and 3 neutrons.
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Look at the incomplete balanced equation shown below. What three numbers would replace X, Y and Z in the equation? Give the numbers in order (for example: 2 6 3).
Answers
Answer:
3,6,9 is the answer it might be right but not sure
The balanced equation is C[tex]_3[/tex]H[tex]_8[/tex] + 5O[tex]_2[/tex] → 3CO[tex]_2[/tex] + 4H[tex]_2[/tex]O. An imbalanced chemical equation describes the products and reactants of a chemical process.
What is balanced equation?The balanced equation is indeed a chemical reaction equation in which the overall charge and the quantity of atoms for every element inside the reaction are identical for both the products and the reactants. In other terms, the mass plus charge on both side of the reaction are balanced.
An imbalanced chemical equation describes the products and reactants of a chemical process but does not include the quantities needed to meet mass conservation.
The carbon atom on lefts side is 3 while on right side it is 1
C[tex]_3[/tex]H[tex]_8[/tex] + O[tex]_2[/tex] → 3CO[tex]_2[/tex] + H[tex]_2[/tex]O
now balance oxygen
C[tex]_3[/tex]H[tex]_8[/tex] + 5O[tex]_2[/tex] → 3CO[tex]_2[/tex] + 4H[tex]_2[/tex]O
Therefore, the balanced equation is C[tex]_3[/tex]H[tex]_8[/tex] + 5O[tex]_2[/tex] → 3CO[tex]_2[/tex] + 4H[tex]_2[/tex]O.
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Convert the orbital period 27.32 days into units of seconds
Answers
Answer:
[tex]2360448seconds[/tex]
Explanation:
Dimensional analysis is attached.
Which is an example of current electricity
Answers
Answer:
A or B you choose
Explanation:
This is called current electricity or an electric current. A lightning bolt is one example of an electric current, although it does not last very long. Electric currents are also involved in powering all the electrical appliances that you use, from washing machines to flashlights and from telephones to MP3 players.
what is an electrical current, amp, ampere Current is the flow of electrons. When a circuit is closed then a current of electrons can flow and when a circuit is open then no current can flow. We can measure the flow of electrons just like you can measure the flow of water through a pipe.
High energetic winds turning generator , causing electrons to flow into power lines is an example of current electricity. Remaining all are examples of static electricity .
What is current electricity ?The movement of electrons from one area of the circuit to another is referred to as current electricity. Free electrons flow between two points when two bodies with different potentials are connected by a wire, until both objects reach the same potential, at which point the current stops.
Current flows until a potential difference exists throughout the conductor. The following techniques can be used to produce current electricity:
1. Through the passage of a metal wire through a magnetic field (Both alternating current and direct current can be generated by the following method)
2.Utilizing a battery and chemical reactions (Direct current can be generated through this method)
Here, the wind's kinetic energy provide the mechanical energy for the generator to to produce power lines. Hence option A is correct. All others are static electricity for short time only.
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What is it called when something with kinetic energy(something moving) hits something that is still / has potential energy
Answers
Answer:
It is called Motion Energy
Explanation:
5. The amount of energy provided by a battery in a circuit is
the amount of energy consumed in the circuit.
A. Equal to
B. Less than
C. Greater than
D. Not related to
Answers
the amount of energy consumed in the circuit.
C. Greater than
The voltage in american household is 120 v. however, because we use a/c power, the voltage is oscillating between two maximums. what is the maximum or peak voltage required to produce an average voltage of 120 v?.
Answers
Answer:
188 v
Explanation:
The average of a sine wave is .637 times the peak value
.637 x = 120
x = 120 / .637 = 188 v
The voltage in an American household is 120 v. however because we use a/c power, the voltage is oscillating between two maximums, then the maximum or peak voltage required to produce an average voltage of 120 Volts would be 76.44 Volts.
What is power?The rate of doing work is known as power. The Si unit of power is the watt.
Power = work / time
The mathematical expression for the power is as follows
P = VI
As given in the problem, the voltage in American household is 120 v. however, because we use a/c power, the voltage is oscillating between two maximums.
The average voltage (VAV) of a sinusoidal waveform is determined by multiplying the peak voltage value by the constant 0.637, which is two divided by pi (π).
The maximum voltage = 120 × 0.637
= 76.44 Volts
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if their is no pivot can rular turn? explain?
Answers
Answer:
No
Explanation:
Because there won't be any momentum
Answer:
No, because you need momentum and you won’t have any momentum there.
Explanation:
I apologize if it is incorrect-
I hope it helps! Have a great day!
Anygays-
If you see fog, what can you know about the temperature and dewpoint near the ground? (Just a simple-ish, short answer please.)
Answers
Answer:The difference between air temperature and dew point is less than 4.5 degrees Fahrenheit when fog can form.
Explanation:This can occur because of added moisture or falling air temperatures. The difference between air temperature and dew point is less than 4.5 degrees Fahrenheit when fog forms.
(b) When the taps are opened, water flows in the pipe for some time. The diagram shows the final water level in container (i) Complete the diagram to show the final water level in container B.
(ii) Explain why the water starts to flow and then stops.
Answers
ii) The pressure difference in the two containers starts the flow of the water from container A to B until the pressure becomes equal in both the containers. Pressure causes force on water, because pressure = force/area
The electromagnetic spectrum is the complete range of electromagnetic radiation ranging from radio waves to gamma rays. Which type of radiation in this spectrum is associated with observable colors such as red, green, and blue?.
Answers
A bicycle has a front gear that is turned by a pedal and is connected by a chain to a
rear gear, which turns the rear wheel. If the pedal radius is 18.0 cm, the front gear
radius is 9.0 cm, the rear gear radius is 4.0 cm, and the rear wheel radius is 33.0
cm, what is the ideal mechanical advantage of the bicycle?
(A) 0.24
(B) 0.48
(C) 0.55
(D) 0.82
Answers
Answer:
Pedal / Front Gear = 18 / 9 = 2
Front Gear /Rear Gear = 9 / 4 = 2 1/4
Rear Gear / Wheel = 4 / 33 = .121
2 * 2 1/4 * .121 = ,55
C) Seems true
What fraction of chlorine-36 remains UN-decayed after 800,000 years?
Answers
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:
Kinetic energy is proportional to?
v2
work
v
a
Answers
Hi! Look below
KE=1/2mv²Hence
[tex]\\ \rm\Rrightarrow KE\propto m[/tex]
[tex]\\ \rm\Rrightarrow KE\propto v^2[/tex]
Option A
Answer:
A. V²
Explanation:
The kinetic energy of a body is the energy by virtue of its motion.
[tex]k.e = \frac{1}{2 }m v {}^{2} [/tex]
Where V is the velocity
and m is the mass
1/2 is the constant term. So we can write as
K.Eαm and K.E.αv²
A hiker climbs a hill 300m high. If she has a mass of 51kg, calculate the work she does in lifting her body to the top of the hill
Answers
Answer:
153000J
Explanation:
[tex]work \: done = \: force \times distance \\ force = mass \times acceleration \: due \: to \: gravity \\ = 51 \times 10 \\ = 510newton \\ work \: done = 510 \times 300 \\ = 153000joules[/tex]
what is the mass of 2.4 moles of water
Answers
Answer:
43.2
2.4×18
18 is the molar mass of water
multiply the no of moles with the molar mass to find the mass of the substance
Answer:
43.25 grams
Explanation:
one mole of H2O is 18.02 grams
18.02*2.4=43.248 grams
how much should the telescope accelerate towards or away from the
Answers
How much should the telescope accelerate towards or away from the sun?
The angular velocity depends on the length of the orbit and the orbital speed of the telescope?
The headlights of a typical car are powered by a 12 v battery. What is the resistance of the headlights if they draw 3.0 A if a current when turned on
Answers
Answer:
4 ohms
Explanation:
V = I R
12 = 3 R
R = 4 ohms
A certain 48 V electric forklift can lift up to 7000 lb at a
maximum rate of 76 ft/min. What is its power? Round your
answer to the nearest hundreds.
Answers
Based on the information provided, the Power of the electric forklift to the nearest hundred is 12,000 W.
What is the formula for arriving at Power in physics?
The formula for calculating power in physics is given as:
P = E/t; where P = Power, E is energy and t is time in seconds. It is also given as :
P = W/Δt
Recall that power is defined as the amount of work done within a specific amount of time.
Where W = Work and; Δt = time elapsed.
Recall that Work (w) = Force x distance
Force here is usually domiciled in Newtons while distance is usually domiciled in meters.
7000 pounds or Lbs to Newtons is
7000 x 4.4482216153 = 31137.551307 N
So let's convert the distance to Meters.
1 foot = 0.3048m
Therefore, 76ft = 23.1648 m
Thus, Work = 31137.551307 X 23.1648 (That is Force in Newtons x distance in meters.)
Work = 721, 295.148516 N·m
Recall that power is given as:
P = W/Δt
= 721,300/60 seconds
= 12,021.6666667, to the nearest hundred, and we have:
P = 12,000 W
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