Consider a two-dimensional projectile motion problem involving a ball starting and ending at the same height. the projectile leaves the ground with an initial velocity of 10 m/s at some angle theta with the horizontal, (a) what value of the angle theta (in degrees) makes the range of the projectile maximum? explain, (b) what is the range at this angle? (c) how long does it take for the ball to reach maximum height? (d) what is the maximum height?
Answers
The range of the projectile is maximum at angle 45°, the range is 10.2m, the time to reach the maximum height is 0.72 s and the maximum height is 2.6 m
What is a Projectile ?The stone, or object or anything projected in a trajectory path is known as a projectile.
In the given two-dimensional projectile motion problem involving a ball starting and ending at the same height. the projectile leaves the ground with an initial velocity of 10 m/s at some angle Ф with the horizontal,
(a) The value of the angle Ф (in degrees) which will makes the range of the projectile maximum is angle 45° because Range = u²sin2Ф ÷ g
At Ф = 45
Range = u²sin90° ÷ g
where sin 90 = 1
So, Range = u² / g which is the maximum range.
(b) The range at this angle will be
Range = 10² ÷ 9.8
Range = 100 / 9.8
Range = 10.2 m
(c) To calculate how long it takes the ball to reach maximum height, we will use the formula
t = usinФ ÷ g
t = 10 sin 45 ÷ 9.8
t = 0.72s
(d) The maximum height will be
H = u²sin²Ф ÷ 2g
H = 10²(sin45)² ÷ 2 × 9.8
H = 100 × 0.5 ÷ 19.6
H = 50 ÷ 19.6
H = 2.55 m
Therefore, the range of the projectile is maximum at angle 45°, the range is 10.2m, the time to reach the maximum height is 0.72 s and the maximum height is 2.6 m
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Related Questions
Why are the atomic radius and the ionic radius difficult to describe?
Answers
Because the location of the outermost electron is unclear and we are unsure of its exact location, calculating the atomic radii is fairly challenging.
What is atom?A chemical element is uniquely defined by its atoms, which are tiny pieces of substance.
An atom is made up of a core nucleus and one or more negatively charged electrons that orbit it. The positively charged, comparatively hefty protons and neutrons that make up the nucleus may be present.
The overlap of ions in a lattice structure makes it challenging to estimate the ionic radius.
Ionic radius typically decreases from group 1 to group 3 since the produced ions have a larger nuclear charge, more protons, and smaller ionic radius due to the electrons being drawn closer to the nucleus.
Calculating the atomic radii is fairly difficult because the location of the outermost electron is obscure and we are unaware of its precise location.
Thus, it is difficult to describe atomic radius and the ionic radius.
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When light waves hit ice, most of them bounce off and radiate back into space. Because of this, ice is best described as which kind of surface?
A.) reflective
B.) absorbent
C.) dense
D.) rough
Answers
The light reflects off the ice
Hope this helped
Que fuerza será necesaria aplicar a un cuerpo de 20kg de masa para imprimirle una aceleración a=4m/s²
Answers
Answer:
La fuerza que será necesaria aplicar a un cuerpo de 20kg de masa para imprimirle una aceleración a=4m/s² es 80 N.
Explanation:
La segunda ley de Newton, llamada ley fundamental o principio fundamental de la dinámica, plantea que un cuerpo se acelera si se le aplica una fuerza.
De esta manera, esta ley establece que las aceleraciones que experimenta un cuerpo son proporcionales a las fuerzas que recibe. Dicho de otra forma, la aceleración de un cuerpo es proporcional a la fuerza neta que se le aplica. Cuanto mayor es la fuerza que se le aplica a un objeto con una masa dada, mayor será su aceleración.
La segunda Ley de Newton se expresa matemáticamente como:
F = m*a
Donde:
F es la fuerza neta. Se expresa en Newton (N) m es la masa del cuerpo. Se expresa en kilogramos (Kg.). a es la aceleración que adquiere el cuerpo. Se expresa en metros sobre segundo al cuadrado (m/s²).En este caso:
m= 20 kga= 4 m/s²Reemplazando:
F= 20 kg* 4 m/s²
Resolviendo:
F= 80 N
La fuerza que será necesaria aplicar a un cuerpo de 20kg de masa para imprimirle una aceleración a=4m/s² es 80 N.
PLEASE HELP ME
A boulder is raised above the ground so that the gravitational potential energy relative to the ground is 310 J. Then it is dropped. What is its kinetic energy just before it hits the ground?
Answers
Answer:
try this
Explanation:
The energy of a falling object when it hits the ground is equaled to the energy it starts with because the potential energy is converted into kinetic energy entirely with the height at 0. This means the energy would be 200 J.
RESULT
predict how the vanes will react when a positvely charged object is brought near the disk of an uncharged electroscope. explain.
Answers
The electrons in the leaves travel to the other end when a positively charged object is brought close to the knob because the rod is drawing them there.
What occurs when a positively charged object is brought close to an electroscope?The electrons will be drawn towards the electroscope's terminal if you place a positive object close by. The leaves will begin to separate from one another. This method can also be used to charge the electroscope with a positive object.
What happens when you bring two positively charged things together?A comparable repelling force arises when two positively charged objects are brought close to one another. An attracting force is created when a negatively charged object is brought close to a positively charged object.
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Two aircraft are flying toward each other at the same speed. They each emit a 800 HZ whine. what speed (km/hr) must each aircraft have an order that pitch they both hear is 2 times the emitted frequency. Hint: the speed of sound is 343m/s
Answers
The first step is to find the frequency heard by each aircraft as they approach each other. Let's call the frequency heard by each aircraft.
What speed (km/hr) must each aircraft have an order that pitch they both hear is 2 times the emitted frequency?According to the Doppler effect formula for sound, the frequency heard by an observer moving towards a stationary source is given by:
f' = (v + vs) / (v + vd) * f
where f is the emitted frequency, v is the speed of sound, vs is the speed of the source (aircraft in this case), and vd is the speed of the observer (also an aircraft in this case).
Since both aircraft are approaching each other at the same speed, we can assume that their speeds are equal and call it v_a. Therefore, we have:
f' = (v + v_a) / (v - v_a) * f
We are given that the frequency heard by each aircraft is 2 times the emitted frequency, so we can write:
2f = (v + v_a) / (v - v_a) * f
Simplifying this equation, we get:
2 = (v + v_a) / (v - v_a)
2(v - v_a) = v + v_a
v = 3v_a
Now we can substitute this value of v into the speed of sound formula to get the speed of each aircraft:
343 m/s = (3v_a + v_a)
v_a = 343 / 4 = 85.75 m/s
Finally, we can convert this speed to km/hr:
85.75 m/s * 60 s/min * 60 min/hr / 1000 m/km = 308.7 km/hr
Therefore, each aircraft must have a speed of approximately 308.7 km/hr in order for the pitch they both hear to be 2 times the emitted frequency.
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Mr. Allen wanted to fill balloons for a party. He rented a helium tank that contained 0. 4 cubic meters of helium gas. He was concerned that the gas would not fill many balloons, but it filled 27 large balloons! why was the small tank of helium gas able to fill so many balloons?.
Answers
Answer:
P V = N R T
P V = constant if temperature and number of moles of gas are constant
P2 / P1 = V1 / V2
The pressure of the gas in the balloons will be much smaller than the pressure of the gas in the tank - so a small volume of gas can be used to fill a much larger volume at lower pressure
Jaune moves North 15 meters, South 5 meters, then North 8 meters. How far is Jaune DISPLACED?
Answers
Answer:
Displacement = 7 meters
Explanation:
Given that,
Jaune moves North 15 meters, South 5 meters, then North 8 meters. We need to find the displacement of Jaune.
The attached figure shows the motion of Jaune.
We know that, Displacement = final position - initial position
Initially, Jaune traveled 15 meters due North and finally, he travel 8 meters North.
Displcement = 15 m - 8 m
Displacement = 7 m
So, the displacement of Jaune is 7 meters.
A possible answer to a scientific problem is called a
Answers
Answer:
A hypothesis is a possible explanation for a set of observations or an answer to a scientific question. A hypothesis must be testable and measurable.
Explanation:
Answer:
hypothesis is likely tobe the answer, im indian
a parallel-plate capacitor is formed from two 4.0 cm x 4.0 cm electrodes spaced 2.0 mm apart. the electric field strength inside the capacitor is 1.0 x 106 n/c. what is the charge (in nc) on each electrode?
Answers
Equation Q/A = E Electric Field within a parallel plate capacitor
∴ Q = E*Aε
E = 10^6 N/C
A = 4*4 = 16cm^2 = 16 * 10^-4 m^2
ε = 8.852 * 10^-12 F/m
Q = +/- 10^6 * 16 * 10^-4 * 8.852 * 10^-12
= +/- 141.6 * 10^-10 C
= +/- 14.2 nC
You can think of an electric field as a physical field that surrounds all charged particles and pulls on them all.
Before the dielectric breaks down, a parallel plate capacitor can only hold a certain amount of energy. It can be stated as follows: The parallel plate capacitor is a device that uses two parallel plates connected across a battery to create an electric field between them.
A nonmetallic component of a circuit is made in touch with using an electrode, an electrical conductor. Depending on the type of battery, electrodes are a crucial component that can be made of a range of materials.
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what are some natural sources of greenhouse gases
Answers
Answer:
Sources of greenhouse gases
Natural sources include respiration and decomposition of plants and ocean release of greenhouse gases to the atmosphere. Many natural GHGs occur naturally in the atmosphere, such as water vapour, carbon dioxide, methane and nitrous oxide. Some greenhouse gases are synthetic, human-made.
light is passed through a solution with a light path of 1 cm and the absorbance is recorded as 0.40. if the light passed through the same solution at the same wavelength and the light path is reduced to 2 cm, the absorbance should be: group of answer choices 80 20 60 40
Answers
The absorbance when the light path is reduced to 2 cm would be 0.80. Option A is correct.
According to the Beer-Lambert law, the absorbance (A) of a solution is directly proportional to the concentration of the absorbing species, the light path length (l), and the molar absorptivity (ε) at a given wavelength of light. Mathematically, A = ε × l × c
In this case, we assume the concentration of the absorbing species and the wavelength of light are constant. We are given that the initial absorbance (A₁) is 0.40 and the light path length (l₁) is 1 cm.
Using the Beer-Lambert law, we can write:
A₁ = ε × l₁ × c
Solving for c, we get:
c = A₁ / (ε × l₁)
Substituting the given values, we get:
c = 0.40 / (ε × 1 cm)
Next, we can use the Beer-Lambert law again to determine the absorbance (A₂) when the light path length is 2 cm:
A₂ = ε × l₂ × c
Substituting the values of ε, c, and l₂, we get:
A₂ = ε × 2 cm × (0.40 / (ε × 1 cm))
Simplifying the expression, we get:
A2 = 0.80
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--The given question is incomplete, the complete question is
"Light is passed through a solution with a light path of 1 cm and the absorbance is recorded as 0.40. if the light passed through the same solution at the same wavelength and the light path is reduced to 2 cm, the absorbance should be: group of answer choices A) 80 B) 20 C) 60 D) 40"--
Help please!!
Latent Heat of Fusion of Iron = 13.8 kJ/mol
Latent Heat of Vaporization of Iron = 349.6 kJ/mol
Molar Mass of Iron = 56 g/mol
You have a closed container that contains 112g of iron. Which choice correctly calculates the amount of energy needed to change the state of iron during interval D-E?
1545.6 kJ
699.2 kJ
6272.0 kJ
0.32 kJ
Answers
Based on the Latent heat of vaporization of iron, the choice that calculates the amount of energy needed to change the state of iron during intervals D-E is 6272.0 KJ.
What is latent heat?The amount of heat needed to transform a unit mass of a substance from a liquid to a gas at that solid's boiling point is known as the latent heat of vaporization.
The following is the formula to determine a substance's latent heat of vaporization:
L = q/m, the latent heat of vaporization where;
Δq is the heat change \sm is the mass of the liquid
The interval D to E is vaporization
Heat required = 349.6 kJ/mol * 112 g / 56g/mol
Heat required = 699.2 kJ
Therefore, Based on the Latent heat of vaporization of iron, the choice that calculates the amount of energy needed to change the state of iron during intervals D-E is 6272.0 KJ.
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A polar bear walks 2.5 meters to the right and then back to the left to exactly where he started his displacement would be
Answers
Sn^4+ (1.5m) + Zn gives Sn^2+ (0.5m) + Zn^2+ (2m) Ecell = 0.80v , Calculate Ecell. Will the cell path increase or decrease if the concentration of Sn^4+ increases
Answers
Cell potential (Ecell) for the \(Sn^4^+ (1.5m) + Zn\) gives \(Sn^2^+ (0.5m) + Zn^2^+ (2m) Ecell = 0.80v\) is 0.80554 V. If the concentration of \(Sn^4^+\) increases, the cell potential Ecell will increase.
To calculate the cell potential (Ecell) for the given reaction involving \(Sn^4^+, Sn^2^+, Zn^2^+\), and Zn ions, we can use the Nernst equation:Ecell = E°cell - (0.0592 V/n) * log(Q),where E°cell is the standard cell potential, n is the number of electrons transferred in the reaction, and Q is the reaction quotient.Given the reaction:\(Sn^4^+ (1.5 M) + Zn \rightarrow Sn^2^+ (0.5 M) + Zn^2^+ (2 M),\)we can write the reaction equation as:\(Sn^4^+ + Zn \rightarrow Sn^2^+ + Zn^2^+.\)The coefficients in the balanced equation indicate the stoichiometry of the reaction, so we can determine the number of electrons transferred:n = 2.The reaction quotient Q can be calculated using the concentrations of the species involved:\(Q = [Sn^2^+][Zn^2^+]/[Sn^4^+][Zn].\)Plugging in the given concentrations, we have:Q = (0.5 M * 2 M)/(1.5 M * 1 M) = 0.67.Now, let's assume that E°cell is given as 0.80 V. Plugging the values into the Nernst equation:Ecell = 0.80 V - (0.0592 V/2) * log(0.67).Calculating the logarithm:log(0.67) ≈ -0.176Ecell ≈ 0.80 V - (0.0592 V/2) * (-0.176).Simplifying:Ecell ≈ 0.80 V + 0.00554 V.Ecell ≈ 0.80554 V.Therefore, the calculated cell potential (Ecell) for the given reaction is approximately 0.80554 V.Now, we need to determine whether the cell potential will increase or decrease if the concentration of \(Sn^4^+\) increases. Since \(Sn^4^+\) is on the anode side of the reaction, an increase in its concentration would cause a decrease in Q. According to the Nernst equation, a decrease in Q leads to an increase in Ecell. Therefore, if the concentration of \(Sn^4^+\) increases, the cell potential Ecell will increase.For more such questions on Cell potential:
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The bonds of the products store 22kJ more energy than the bonds of the reactants. How is energy conserved during this reaction?
A. The reaction uses up 22kJ of energy when bonds break.
B. The reaction creates 22kJ of energy when bonds form.
C. The reaction system absorbs 22kJ of energy from the surroundings.
D. The surroundings absorb 22kJ of energy from the reaction system.
whoever gives a detailed explanation will get branliest
Answers
Which is true for every atom of an element?
A.
It can be seen with a magnifying glass.
B.
It is joined together with another atom.
C.
It has mass and volume.
D.
It is weightless.
Answers
Answer:
A
Explanation:
Every atom of an element has its own mass and volume as the atom is the smallest fundamental unit of the matter, therefore the correct answer is option C.
What is the matter?Anything which has mass to keep the same when comparing the hardness of the solid and occupies space is known as matter, mainly there are four states of matter solid liquid gases, and plasma.
As given in the problem statement we have to find the true statement from the given options that is true for every atom of an element,
The size of an atom of an element is a very small order of magnitude so it can not be seen with a magnifying glass, therefore, option A is not the correct response.
Thus, every atom of an element has its own mass and volume as the atom is the smallest fundamental unit of the matter, therefore the correct answer is option C.
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Q3. A space probe is traveling in outer space with a momentum that has a magnitude
of . A retrorocket is fired to slow down the probe. It applies a force to
the probe that has a magnitude of and a direction opposite to the probe’s
motion. It fires for a period of 12 s. Determine the momentum of the probe after the
retrorocket ceases to fire
Answers
The momentum of the probe after the retrorocket ceases to fire is 9.9 * 10^7 Kg m/s
What is the momentum?We know that the momentum of an object has to do with the product of the mass and the velocity of an object. The momentum of an object is a vector quantity and the direction of the momentum is the direction of the velocity of the object that is in motion.
According to the Newton second law of motion, we know that the rate of change of the momentum is equal to the impressed force that is acting on the body.
We know that;
\(F_{t}\) = \(p_{f}\) -\(p_{i}\)
F = force
t = time taken
\(p_{f}\)= final velocity
\(p_{i}\) = initial velocity
\(p_{f}\) = \(F_{t}\) + -\(p_{i}\)
\(p_{f}\) = (2.0 * 10^6 * 12 s) + 7.5 * 10^7
\(p_{f}\) = 2.4 * 10^7 + 7.5 * 10^7
\(p_{f}\) = 9.9 * 10^7 Kg m/s
Hence, the momentum of the retrorocket is 9.9 * 10^7 Kg m/s.
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Missing parts;
A space probe is traveling in outer space with a momentum that has a magnitude of 7.5 * 10^7 kgm/s. A retrorocket is fired to slow down the probe. It applies a force to the probe that has a magnitude of 2.0 * 10^6 N and a direction opposite to the probe's motion. It fires for a period of 12 s. Determine the momentum of the probe after the retrorocket ceases fire.
How do you reduce a camping tent' heat in DIY Method Pl do not cam me with dum replie!
Answers
Camping - Even on sweltering summer days, camping is a delightful outdoor activity.
However, if it's hot outside, your tent may become very uncomfortable. Thankfully, there are ways to keep your tent cool. By making the most of your supplies, setting up your tent in the ideal location, and using a tarp or umbrella to block off the sun, you may avoid the heat.
Three methods to keep the tent cool:
1. Bring your cooler of ice into the tent.
2. Use a battery-operated fan to circulate the air.
3. Open your tent’s door and vents if it has any.
4. Sleep on top of your sleeping bag to stay cool.
5. Remove the rain fly if the weather forecast doesn’t predict rain.
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If the current in each wire is the same, which wire produces the strongest magnetic field?
-a wire that is 1mm thick and not coiled
-a wire that is 2mm thick and not coiled
-a wire that is 1-mm thick and coiled******
-a wire that is 2-mm thick and coiled
Answers
Answer:
Im pretty sure its c
Explanation:
What causes water molecules to be attracted to each other?
Answers
Answer:
the positive and negative charges of the hydrogen and oxygen atoms that make up water molecules makes them attracted to each other
Explanation:
Hope this helps dude
What is the distance that an airplane traveling at 600 mph, moves during the time it takes to scan the instruments?, (Time is about 0.5 seconds, 5,280 ft/mi)
Answers
Answer:
d = 134.11 m
Explanation:
Speed of an airplane, = 600 mph
We need to find the distance moved in 0.5 s (to scan the instruments).
1 mph = 0.44704 m/s
It means,
600 mph = 268.22 m/s
Speed = distance/time
Distance, d = v t
d = 268.22 m/s × 0.5 s
d = 134.11 m
So, the distance moved by airplane is 134.11 m.
In 3 seconds a car moving in a straight line increases its speed from 22.4 m/s to 29.1 m/s while a truck increases its speed from 0 mph to 6.7m/s in the same amount of time. What is the acceleration of the truck in m/s? *
SHOW ALL WORK
Answers
PLEASE HELLPPP ILL GIVE BRAINLY
which part of the United States would have generally cooler temperatures due to the effects of currents?
A ) East Coast
B ) Gulf Coast
C ) West coast
D ) Central States
Answers
Answer:
West coast
Explanation:
i think this is the ans
Wheel and Axle
Give reasons for the following.
a. Handles of metal cutters are made long.
b. String roller is an example of wheel and axle.
c. Winding roads are made on slopes.
d. A shovel is the third class lever.
e. Wedge is called a simple machine.
37
Answers
Answer:Handles of metal cutters are made long.
Explanation:
List the correct sequence taps should be used to form threads the full depth of a blind hole.
Answers
If a guitar string vibrates at 304hz as its fundamental frequency, what is the frequency of the third harmonic?
Answers
Answer:
912 Hz
Explanation:
Third harmonic multiplies the frequency by 3. Harmonics are waves that operate at a frequency that is an integer (whole-number) multiple of the fundamental frequency.
you shine a beam of monochromatic light earth to an astronaut friend in orbit. the light your friend receives, relative to light from an equivalent source on the spaceship is slightly
lower in frequency
weaker with no different frequency
higher in frequency
Answers
The light your friend receives, relative to light from an equivalent source on the spaceship is slightly lower in frequency.
option A.
What is gravitational redshift?The gravitational redshift happens when light tries to escape from a gravitational field.
A gravitational redshift is defined as a shift toward longer wavelengths of spectral lines emitted by atoms in strong gravitational fields.
The redshift of light or other electromagnetic radiation is caused by a strong gravitational filed.
If you shine a beam of monochromatic light earth to an astronaut friend in orbit. The light your friend receives, relative to light from an equivalent source on the spaceship is slightly lower in frequency because the light will travel from higher gravitational energy zone to lower gravitational energy zone. So lower gravitational energy implies lower frequency of light.
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Which statements correctly describe motion and forces that
affect it? Select all statements that apply.
Please help!!
Answers
Answer: A E F H
Explanation: Hey I'm Lola I'm happy to help you I'm 16 years old! :D
Answer:it’s actually BCD
Explanation:
you’re welcome
Imagine that you have a 500 g iron pot (c = 0.440), a 500 g copper pot (c = 0.385), and a 500 g aluminum pot (c = 0.897). You fill each pot with 250 mL of water and heat the water to 100°C on a stove. Which pot will keep the water warm the longest? Explain your answer.
Answers
Answer:
Aluminium
Explanation:
If we calculate the heat transfer for all the substances, we have
Mc(∆T)
Where M is mass
C is heat capacity
∆T is temperature change.
For iron
Mc(∆T) = 500 ×0.440×100= 22000J
For copper
Mc(∆T) = 500 ×0.385×100= 19250J
For aluminium
Mc(∆T) = 500 ×0.897×100= 44850J
Aluminium has the highest heat capacity and would take longest for this heat capacity to be dissipated under similar condition.