Batman is leaping from building to building in pursuit of Joker. The rooftop of the next building is 10 meters away and 15 meters below the roof he is currently on. If he jumps with a velocity of 5.10 m/s at an angle of 20 degrees above the horizontal, will he make it? (a) what are the components of the initial velocity? (b) How long will he be in the air if he successfully lands on the lower roof? (c) How far will he travel horizontally in the time it takes to land on the lower roof? (d) Compare your answer from (c) to the horizontal distance to the roof of the next building. Does Batman make the jump?
Answers
Batman will make the jump. The components of the initial velocity are 4.84 m/s horizontally and 1.79 m/s vertically. He will be in the air for 2.33 seconds and travel 11.3 meters horizontally. This is less than the horizontal distance to the next building of 18.03 meters, so he will make the jump.
The components of the initial velocity are
vₓ = v0 cos(θ) = 5.10 m/s cos(20°) = 4.84 m/s
\(v_y\) = v0 sin(θ) = 5.10 m/s sin(20°) = 1.79 m/s
The time in the air can be found using the vertical component of the motion and the acceleration due to gravity:
Δy = \(v_y\)t + (1/2)gt²
where g = 9.81 m/s² is the acceleration due to gravity.
Rearranging and solving for t:
t = [ -\(v_y\) ± √(\(v_y\)² + 2gΔy) ] / g
Taking the positive root:
t = [ -1.79 + √(1.79² + 29.81*15) ] / 9.81
t ≈ 2.33 s
The horizontal distance can be found using the horizontal component of the motion and the time in the air
Δx = vₓ*t = 4.84 m/s * 2.33 s
Δx ≈ 11.3 m
The distance to the next building can be found using the Pythagorean theorem
d = √(10² + 15²) = 18.03 m
Comparing this to the horizontal distance calculated in (c), we see that Batman does not make the jump, since he only travels 11.3 m horizontally. Therefore, Batman will not make it to the rooftop of the next building with the given initial velocity and angle.
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Related Questions
A string under a tension of 170 N has a frequency of 300 Hz.What will its frequency become if the tension is increased to 340 N?
Answers
The speed of the wave on a string is given by Taylor's formula:
\(v=\sqrt[]{\frac{F}{\mu}}\)where
F = tension force
μ = linear density = mass per unit length
But also we can say the speed of any wave is given by:
\(v=\lambda\times f\)where:
λ = wave length
f = frequency
Plug the second equation in the first one. We get:
\(\lambda\times f=\sqrt[]{\frac{F}{\mu}}\)Now solve for f:
\(f=\frac{1}{\lambda}\times\sqrt[]{\frac{F}{\mu}}\)Lets say wave length is the same on the second case. Since it's the same string μ will also be the same.
See that 340 N = 2 x 170, so we can write:
\(\begin{gathered} f_{new}=\sqrt[]{2}\times\frac{1}{\lambda}\sqrt[]{\frac{F}{\mu}} \\ f_{new}=\sqrt[]{2}\times f_{old} \\ f_{new}=\sqrt[]{2}\times300 \\ f_{new}\approx424Hz \end{gathered}\)What is an inclined plane that is wrapped in spiral
Answers
Answer:
A screw
Explanation:
The threads of a screw act like an inclined plane to increase the distance over which you exert the input force.
A Ford Shleby GT 500 has a horsepower of 760 hp. What is that is Watts? DO NOT include units - just the numeric answer. I QUESTION 15 An object of mass 100 kg is moved with an acceleration of 10 m/2, and goes fron an initial position of 10 m to a final position of 30 m. What work was done on the object? DO NOT include units - just the numeric answer.
Answers
the work done on the object is 20000 J.
The conversion factor from horsepower to watts is 1 hp = 746 watts.
Therefore, the Ford Shelby GT 500's horsepower of 760 hp can be converted to watts as follows:
760 hp × 746 watts/hp = 567760 watts
To convert horsepower to watts, you simply need to multiply the number of horsepower by the conversion factor of 746 watts/hp.So, the numeric answer for 760 hp in watts is 567760.
According to the work-energy principle, the work done on an object is equal to the change in kinetic energy. Mathematically, the work-energy principle can be represented as follows:
W = ΔKHere, W represents the work done on the object, and ΔK represents the change in kinetic energy of the object.
The change in kinetic energy can be calculated using the following formula:
ΔK = (1/2)mvf² - (1/2)mvi²
Here, m represents the mass of the object, vi represents the initial velocity of the object, and vf represents the final velocity of the object. In this case, the object is initially at rest (vi = 0), so the formula can be simplified to
:ΔK = (1/2)mvf²
Now, we can use the following kinematic equation to calculate the final velocity of the object:
vf² = vi² + 2ax
Here, a represents the acceleration of the object, x represents the displacement of the object, and vi represents the initial velocity of the object. Plugging in the given values, we get:
vf² = 0 + 2(10 m/s²)(30 m - 10 m)vf² = 400 m²/s²vf = 20 m/s
Now, we can plug in the values of m and vf to calculate the change in kinetic energy:
ΔK = (1/2)(100 kg)(20 m/s)²ΔK = 20000 JSo, the numeric answer for the work done on the object is 20000 J.
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Please help in this quickly, thankss!
Question: a cell can make a buzzer buzz
a) explain why the buzzer starts to buzz as soon as the circuit is complete
b) what energy changes are happening in this circuit
please answer BOTH of them
Answers
2-That electric potential energy changes to regular electric energy as the electrons move around the circuit. Then, that electric energy is transferred to the components in the circuit. If the circuit contains a bulb, it comes out as light energy and wasted heat energy
2. If a 6.2A current flows through a 3.90 resistor, how much voltage is supplied?
a. 20.18V
b. 1.58V
C..18V
d. 24.18V
Answers
Answer:
D
Explanation:
voltage =current × resistor
v= 6,2 × 3,90
v=24,18 V
What is the average speed of an
object if it has travelled a total
distance of 6.00 km in 20.0 us?
Answers
Answer:
3 * 10⁸ m/s
Explanation:
Simply divide the total distance by total time to get average speed.
= (6000 * 10⁶) / 20
= 3 * 10⁸ m/
What is the force on a person’s hand, which is using a rope to accelerate a 5 kg block upward with an acceleration of 2.2 m/s 2 ?
Answers
Answer:
F = 11 N
Explanation:
Given,
Mass of a block, m = 5 kg
Acceleration of the block, a = 2.2 m/s²
We need to find the force on the person's hand. Let it is F. We know that force is given by the product of mass and acceleration as follows :
F = ma
F = 5 kg × 2.2 m/s²
F = 11 N
So, the force on a person's hand is 11 N.
An unidentified compound is observed to melt sharply at 111 degrees C with the vigorous evolution of a gas. The sample then solidifies and does not melt until the temperature reaches 155 deg C, at which time it again melts sharply. Briefly explain these observations.
Answers
The observations described indicate that the unidentified compound undergoes a process known as a reversible chemical reaction or phase transition.
Specifically, the compound exhibits a melting and solidification behavior within a specific temperature range.
At 111 degrees Celsius, the compound undergoes a sharp melting point, accompanied by the vigorous evolution of a gas.
This indicates that the compound transitions from a solid state to a liquid state. The evolution of gas suggests the presence of a volatile component within the compound, which vaporizes when the compound melts.
As the temperature continues to increase, the compound remains in its liquid state until it reaches 155 degrees Celsius. At this temperature, the compound again undergoes a sharp melting point, transitioning from a liquid state to a molten form.
The absence of gas evolution during this melting point indicates that the volatile component has already been released during the earlier melting process.
The presence of two distinct melting points in the compound suggests the existence of different components or phases within the compound.
Each phase has its own melting point, and their coexistence allows for the observed reversible melting and solidification behavior.
In summary, the compound exhibits a reversible melting and solidification behavior due to the presence of multiple components or phases, and the evolution of gas during the first melting point indicates the release of a volatile component.
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rapid gas exchange can be accomplished more easily in air than in water because
Answers
Rapid gas exchange can be accomplished more easily in air than in water because air has a lower viscosity and contains a higher concentration of oxygen compared to water.
The lower viscosity of air means that it offers less resistance to the movement of gases, allowing for quicker diffusion. In contrast, water has a higher viscosity, making it more challenging for gases to move and diffuse rapidly.
Furthermore, the higher concentration of oxygen in air facilitates efficient gas exchange. Oxygen is required for respiration, and organisms need to extract oxygen from their environment to support metabolic processes. Air contains a higher percentage of oxygen compared to water, which enhances the availability of oxygen for respiration.
Additionally, the physical properties of air, such as its lower density and higher compressibility compared to water, further facilitate gas exchange. These properties enable organisms to more easily ventilate their respiratory surfaces and exchange gases with the surrounding environment.
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what's the dif between radio waves and infrared waves
Answers
Answer:
The Difference between Radio Waves and Infrared Light. According to NASA, radio waves have a longer wavelength than infrared light, in the electromagnetic spectrum. Radio waves are able to reach the earth’s surface, unlike most infrared light.
Explanation:
I hope this helps.
Use the periodic table from the lesson to answer the following question.
The atomic mass of Fis
9
O 10
19
O 55
Answers
Answer:
18.99u or 19u
Explanation:
Mass number=No of protons+No of neutrons
\(\\ \sf\longmapsto 9+10\)
\(\\ \sf\longmapsto 19u\)
Fluorine has atomic number=9The Electronic configuration is given by\(\\ \sf\longmapsto 1s^22s^22p^5\)
the best defensive driving technique for windy conditions is driving _____________.
Answers
One of the best defensive driving techniques for windy conditions is driving with both hands on the steering wheel.
When driving in windy conditions, it is essential to take some safety precautions to avoid accidents and maintain control over the vehicle. A vehicle's stability and safety depend on the driver's ability to control it, especially in extreme weather conditions. Driving with both hands on the steering wheel is the most recommended defensive driving technique to stay in control of the vehicle during windy conditions. Besides driving with both hands on the steering wheel, it's essential to maintain a slow and steady speed, pay attention to the wind direction, and stay focused on the road. The strong wind can cause vehicles to drift, sway, or even flip, so it's necessary to keep a safe distance from other vehicles, especially large trucks or buses. When driving on a windy day, it's crucial to remain calm and avoid panic. Sudden movements and reactions can cause the driver to lose control of the vehicle, which could result in a severe accident. Therefore, it's best to stay alert, keep both hands on the steering wheel, and maintain a slow and steady speed to stay safe in windy conditions.
In conclusion, the best defensive driving technique for windy conditions is driving with both hands on the steering wheel, maintaining a slow and steady speed, and keeping a safe distance from other vehicles. Stay focused, stay calm, and stay safe. The answer to the question is: driving with both hands on the steering wheel.
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Calculate the gravitational potential energy of a 95 kg rock at the top of a 45 m cliff. The acceleration due to gravity is 9.8 m/s.
Answers
Answer:
41895 J
Explanation:
GPE= mgh
m=95
g=9.8
h=45
95*9.8*45
The gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
What is gravitational potential energy?Gravitational potential energy is simply the potential energy an object possessse in relation to another object due to gravity.
It is expressed as;
U = mgh
Given the data in the question;
Mass m = 95kgHeight h = 45mAcceleration due to gravity g = 9.8 m/s²We substitute our values into the expression above.
U = mgh
U = 95kg × 9.8m/s² × 45m
U = 41895kgm²/s²
U = 41895J
Therefore, the gravitational potential energy of the rock at the top of the cliff is 41895 Joules.
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how does the spectrum of a molecule differ from the spectrum of an atom?
Answers
The spectrum of a molecule includes not only the electronic transitions observed in atoms but also additional features related to molecular bonding, vibrational motion, and rotational motion.
The spectrum of a molecule differs from the spectrum of an atom primarily because a molecule consists of two or more atoms bonded together. This bonding introduces additional energy levels and interactions that affect the energy transitions and resulting spectral features.
In an atom, the spectrum is characterized by discrete lines or bands corresponding to the energy transitions of electrons between different energy levels. Each element has a unique atomic spectrum, which can be used for identification purposes. The transitions in an atom's spectrum occur due to changes in the electron configuration and involve electronic transitions within the atom.
On the other hand, a molecule has both electronic and vibrational energy levels. The electronic transitions in a molecule involve the movement of electrons between different energy levels of the molecular system. These transitions give rise to electronic spectral features, similar to those observed in atoms. However, in a molecule, the energy levels can be affected by the presence of multiple atoms, molecular orbitals, and molecular bonding.
In addition to electronic transitions, molecules also exhibit vibrational and rotational energy levels. Vibrational transitions involve the motion of atoms within the molecule, and rotational transitions involve the rotation of the molecule as a whole. These transitions give rise to additional spectral features in the infrared (IR) and microwave regions, respectively.
Overall, the spectrum of a molecule includes not only the electronic transitions observed in atoms but also additional features related to molecular bonding, vibrational motion, and rotational motion. The complexity of the molecule's spectrum depends on its structure, composition, and the types of interactions present within the molecule.
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A hemispherical tank is full of oil (density = 50 pc). It has a diameter of 10 ft. Find the work done in Ib-ft in pumping all the liquid out of the tank
Answers
The work done in pumping all the liquid out of the tank is 2500π lb-ft.
Work done calculationThe potential energy of an object is given by the formula:
PE = mgh
Given:
Density of oil = 50 lb/ft^3
Diameter of the tank = 10 ft ( r = 5 ft)
To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:
Volume of oil in the tank:
The volume of a hemisphere = (2/3) * π * (r^3)
Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3
Mass of the oil:
Mass = Volume * Density = (250π/3) * 50 lb
Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).
Finally, we can calculate the work done:
Work = PE = mgh = (250π/3) * 50 lb * 5 ft
Work = (250π/3) * 50 * 5 lb-ft
= 2500π lb-ft
So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.
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2. A disturbance that generates a wave may be a simple pulse or shock.
b. False
a.
True
Answers
That's true.
-- a bell starts ringing (wave) when you tap it (simple pulse)
-- a pond starts rippling (wave) when a stone drops in (simple shock)
-- a guitar strings starts waving when you pluck it
According to the realitivistic expression for momentum, if the speed of an object is doubled, the magnitude of its momentum.
Answers
Answer:
P = M0 V / (1 - (V / C)^2)^1/2
Let V / C = X unless V is a close to the speed of light (10% or so)
(1 - x^2)^1/2 is a small quantity and can be ignored at small speeds.
(1 - [1 - (V/C)^2]^-1/2 = (V/C)^2 using the first terms of the binomial expansion
P2 / P1 = V2 / V1 * (X2 / X1)^2
For V<<C the effect is small and the momentum is merely doubled
Which organelle captures sunlight and helps in food synthesis?
Chloroplast
Mitochondrion
Nucleus
Ribosome
Answers
Answer: Chloroplast
Explanation: Chloroplasts work to convert the Sun's light energy into sugars that cells can use. It's like a solar panel that converts energy from sunlight into electric power.
Explanation: Conducts photosynthesis and creates sugars for the plant
what is advantage of using mercury in thermometer
Answers
Answer:
Mercury is a good conductor of heat. That makes it better at recording higher temperatures than other elements.
Explanation:
hope this helps
A 15kg child and a 25kg child sit at opposite end of a 4m seesaw pivoted at its center. Where should the third child whose mass is 20kg sit in order to balance the seesaw?
Answers
The position the 20 kg child should seat in order to balance the seeesaw is determined as 1 m.
What is the position of the 20 kg child?Let the position of the 20 kg child from the center of the seesaw = x
Apply the principle of moment, taking moment about the pivot as shown below;
clock wise moment = antilock wise moment
15(2m) + (20x) = 25 (2m)
30 + 20x = 50
20x = 50 - 30
20x = 20
x = 20/20
x = 1 m
Thus, when the 20 kg child seats at 1 m from the end of the 15 kg child the seesaw will balance.
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Embarking on a road trip, you hope to average a speed of 90.0 km/hr. Driving through bad weather, you finally reach the midpoint (half the distance) of your trip, but realize that you have only been averaging 5.0 X 10^1 km/hr. How fast would you have to drive the second half of the trip to keep your desired arrival time? *
Answers
Answer:
Explanation:
average speed = 90 km / hr
Let the total distance be 2 d .
time required to cover the time = 2 d / 90
time taken to cover distance d at 50 km /h = d / 50
time required to cover the nd half = 2 d / 90 - d / 50
.02222 d - .02 d = .002222 d
speed required = d/2 / .002222d
1 / 2 x .002222
= 225 km /h .
the need for sustainable energy resources ??
Answers
Answer:
Sustainable energy is essential to meet uncontrolled rising demand for energy, reduce pollution and shift to resources that can be used again and again.
Explanation:
Considering the Sustainable Goals floated by United Nation, it is essential for all countries to improve their score in all the SD goals.
One of the SD goal is to shift to sustainable energy.
Sustainable energy is essential from following three points
- Reuse of energy source again and again to outcome the fear of resource depletion
- Sustainable energy source shall ensure cleaner environment
- Sustainable energy sources are also essential to meet the rising consumption of energy with time all across the globe.
Some common examples are - Solar energy, Wind Energy, Energy from nuclear fuels etc.
pls help Which one of the following is NOT acceleration
A.
a change in mass
B.
a change in direction
C.
an increase in velocity
D.
a decrease in velocity
Answers
Answer:
C
Explanation:
Am increase in velocity?
Answer:
change in mass is not acceleration
two cars are diriving down the road. car a has a mass of 1,100 kg and is moving at 20 m/s. car b has a mass of 1000 kg and is moving at 30 m/s. which car has more kinetic energy and why
Answers
Answer:
Hope the pictures will help you
In order to increase the pain of a common emitter amplifier, we have to reduce the output impedance Select one: True false . Ves V. The NMOS transtor certainly operates in saturation region Select one True False
Answers
In order to increase the gain of a common emitter amplifier, we have to reduce the output impedance. This statement is false.
To increase the gain of a common emitter amplifier, it is more common to focus on increasing the input impedance and/or the transconductance of the transistor, rather than specifically reducing the output impedance.
The NMOS transistor certainly operates in the saturation region.
False. The operating region of an NMOS transistor depends on the voltages applied to its terminals. The NMOS transistor can operate in different regions, including the cutoff, triode, and saturation regions. The specific region of operation depends on the voltages applied to the gate, source, and drain terminals of the transistor.
It's important to note that the answers provided above are based on the given options, but the questions could be more accurately answered with additional context or clarification.
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Sometimes the moon looks like a crescent. At other times, the moon looks like a half
circle. Why does this phenomenon occur on Earth?
A. The amount of sunlight changes on the moon due to the rotation of the moon.
B. A person’s perception of the moon changes due to the orbit of the moon.
C. A person sees the moon change shapes throughout the night due to Earth’s rotation.
D. The sun’s orbit around the moon changes the amount of light hitting the moon’s
surface.
Answers
Sometimes the moon looks like a crescent. At other times, the moon looks like a half circle. This phenomenon occur on the Earth due to the amount of sunlight changes on the Moon due to the rotation of the moon. Thus, the correct option is A.
What are the Moon phases?
There are a total of about eight Moon phases, which include, the new Moon, waxing crescent, half-Moon, waxing gibbous, full Moon, waning gibbous, third quarter, and waning crescent.
The Moon's shape does not really change, it only appears that way. The amount of Moon which we see as we look from the Earth changes in a cycle that repeats about once a month or 29.5 days. The relative positions of the Sun, Earth, and Moon, cause these changes.
Therefore, the correct option is A.
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Write a hypothesis for Part I of the lab, which is about the
effect of mass on the ability of an object to absorb or
release thermal energy. Use the format of "if... then.
because ..." and be sure to answer this part of the
lesson question: "How does mass affect thermal energy
transfer?"
Answers
Whenever an increasing temperature leads to a quicker movement of elementary particles and a collision, Thermal energy occurs. The hypothesis as per the given statement is provided below.
Whenever the overall volume rises, subsequently heat is increased since a particular chemical solar radiation relies on one of its temperatures as well as critical or actual mass.Whenever subjected to about a similar quantity of infrared radiation, distinct masses completely modify the temperature at varying intervals. The reason would be that the mass may consume heat energy by things.
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Answer:
Different masses will change tempurature at different rates when exposed ti the same amount of thermal energy. This is because the amount if mass affects ab objects ability to absorb thermal energy.
Explanation:
sample response for edge
describe at least 3 ways the energy is generated?
Answers
Biomass, Fossil Fuels, Hydroelectric, Solar Energy
Answer: 1. Spinning a magnet inside a coil. Electromagnetic induction IOW
2. Photo electricity
3. Thermo electricity
The changes that are visible during a chemical reaction are signs that the nuclei in the reactants have been rearranged.
Please select the best answer from the choices provided
ОТ
OF
Answers
Answer:
the answer is F
Explanation: I put T on the question and got it wrong so it's F on edge ;)
When using a microscope and the low objective lens is being used then which adjustment can you use?.
Answers
When using a microscope and the low objective lens is being used also we use fine adaptation or fine adjustment.
How is the light on a microscope acclimated?
Result for an image Which area of the microscope enables you to change how the slide is deposited in relation to the light source.
On the side of the emulsion(compound) microscope body is where the rheostat control for the microscope is located. generally, it'll be a clump that may be moved clockwise to consolidate the light or counterclockwise to dim it.
The condenser, which is deposited beneath the stage, focuses the light to produce strong, indeed illumination in the area girding the object being seen. Critical illumination is the process of fastening the light source's image via the condenser directly onto the airplane of the instance.
Therefore, When using a microscope and the low objective lens is being used also we can use the fine adaptation or fine adjustment.
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