A bomber is diving towards it's target at an angle of 45 degrees below the horizontal and at a speed of 320 m/s. When the bomber is 600m above the ground, it releases its load, which then hits the target. How long will it take the bomb to reach the target?
Answers
Answer:
The time it will take the bomb to reach the target is approximately 2.402 seconds
Explanation:
The given information are;
The direction the bomber is travelling = 45° below the horizontal
The speed at which the bomber was travelling = 320 m/s
The elevation at which the bomber releases its load = 600 m
Therefore, we have;
The height at which the bomb is released, s = 600 m
The inclination of the direction of motion of the bomb = 45° below the horizontal
The magnitude of the velocity of the bomb at release = 320 m/s
The vertical component of the velocity = 320 m/s × sin(45°) = 160·√2 m/s
Therefore, the initial vertical velocity, \(u_v\), of the bomb = 160·√2 m/s downwards
From the equation of motion, we have;
s = \(u_v\) × t + 1/2 × g × t²
Where;
t = The time it takes the bomb to hit the target
g = The acceleration due to gravity = 9.81 m/s²
∴ 600 = 160·√2 × t + 9.81 × t²
9.81 × t² + 160·√2 × t - 600 = 0
By the quadratic formula, we have;
\(x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}\)
\(t = \dfrac{-160 \times \sqrt{2} \pm \sqrt{(160 \times \sqrt{2} )^{2}-4\times 9.81\times (-600)}}{2\times 9.81}\)
t ≈ -25.467 seconds or t ≈ 2.402 seconds
Given that t is a natural number, we have the correct option is t ≈ 2.402 seconds
Therefore, the time it will take the bomb to reach the target ≈ 2.402 seconds.
Related Questions
1: Solve for acceleration. Write the units of your answer next to the number
What is the acceleration of a drag racing car that accelerates from 0 to 32 m/s in 4.5
seconds?
2) A sky diver jumps out of a plane. If the diver falls from rest (0 m/s) and reaches a speed
of 18 m/s in 1.92 seconds, what is the diver's acceleration ?
Answers
Solution a = v/t basically divide the velocity by the time taken
2. 9.375m/s
Same solution as before
Jupiter has a gravitational field of 23.6 N/kg. Would you weigh more or less on Jupiter than you do on Earth?
Answers
Earth's gravitational field = 10N/kg
Jupiter's gravitational field = 23.6 N/kg
Jupiter's gravitational field > Earth's gravitational field
Therefore, we will weigh more on Jupiter.
The gravitational force exerted on a mass—typically located close to a planet's surface—is what gives something its weight. A different planet with a weaker gravitational field can cause an object's weight to varying. The gravitational field strength is expressed in Newtons per kilogram and increases with the size of the subject.What is Gravitational Field?In physics, a gravitational field is a model used to explain the effects that a large body stretches into the space surrounding it, creating a force on a smaller, more massive body. As a result, the newtons per kilogram (N/kg) gravitational field, which is utilized to explain gravitational phenomena, is used. In meters per second square (m/s2), it is equivalently expressed.The concept of gravity originally described a force between point masses. Since the 19th century, explanations of gravity have typically been taught in terms of a field model, rather than a point attraction. Pierre-Simon Laplace attempted to characterize gravity as some sort of radiation field or fluid, following Isaac Newton. Instead of two particles being attracted to one another in a field model, the particles deform spacetime due to their mass, and this distortion is what is sensed and quantified as a "force." According to such a hypothesis, gravity either doesn't exist or is a made-up force that causes stuff to move in specific ways in reaction to the curvature of spacetime.To learn more about Gravitational Field, refer to:
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HELP pleaseee which nucleus completes the following equation?
Answers
Answer:
its D
Explanation:
i just got it correct on a. p. e. x. :)
If you have an apple can you make
A. Apple pie
B. Apple sauce
C. Caramel Apples
Answers
Because you don’t really need any other ingredients like for the pie and caramel apples
Question 1
What is a Static Load
A. is a load at rest like the weight of an object the structure is supporting or the weight of the structure itself.
B. in between radio stations
C. Aload in Motion
D. A force that is equal
Answers
According to wein's law, if the surface temperature is increased by a factor of 2, its peak wavelength will:
Answers
According to Wien's Law, if the surface temperature is increased by a factor of 2, the peak wavelength of the radiation emitted by the surface will decrease.
Wien's Law states that the peak wavelength of radiation emitted by an object is inversely proportional to its temperature.
Mathematically, the law can be expressed as λ_max = (b / T), where λ_max represents the peak wavelength, b is Wien's constant (approximately 2.898 × 10^(-3) m·K), and T is the temperature in Kelvin.
When the surface temperature is increased by a factor of 2, it means that the temperature is doubled. Using Wien's Law, we can observe that the peak wavelength will be halved. This is because an increase in temperature results in the emission of shorter wavelengths of light. As the temperature increases, the peak of the emitted radiation shifts towards the shorter wavelength region of the electromagnetic spectrum.
In summary, if the surface temperature is increased by a factor of 2, the peak wavelength of the radiation emitted by the surface will decrease, implying a shift towards shorter wavelengths.
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the engineer of an intercity train observes a rock slide blocking the train's path 210.0 m ahead and activates the train's emergency brakes. the train decelerates uniformly at 1.6 m/s2 for 12.10 s before reaching the rock slide. what is the speed with which the train reaches the rock slide?
Answers
The speed with which the train reaches the rock slide is 19.36 m/s
What is acceleration?This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
a is the acceleration v is the final velocity u is the initial velocity t is the time How to determine the initial velocityFinal velocity (v) = 0 m/sTime (t) = 12.1 sDeceleration (a) = –1.6 m/s²Initial velocity (u) =?The initial velocity of the train can be obtained as illustrated below:
–1.6 = (0 – u) / 12.1
Cross multiply
0 – u = –1.6 × 12.1
– u = –19.36
Divide both sides by –1
u = –19.36 / –1
u = 19.36 m/s
Thus, the train uses 19.36 m/s to reach the rock slide
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During the months of June-November, the Department of health always releases public health advisories. These include warnings against diarrhea, dengue, leptospirosis, and many more. Why does the DOH issue these advisories at those specified months?
Answers
The DOH issues advisories from June to November due to increased health risks associated with the rainy season, disease outbreaks, and the need for preparedness and public education.
The Department of Health (DOH) issues public health advisories during the months of June to November for several reasons related to public health concerns specific to that time period. Here are some possible reasons:
1. Rainy Season: In many regions, June to November corresponds to the rainy season or monsoon season. During this time, there is an increase in rainfall, which can lead to various health risks such as waterborne diseases, flooding, and increased vector population (mosquitoes, rats, etc.). The DOH issues advisories to raise awareness and provide preventive measures against these risks.
2. Disease Outbreaks: Certain diseases are more prevalent or have a higher likelihood of outbreaks during specific months. For example, dengue fever is commonly associated with the rainy season due to the increased breeding of mosquitoes in stagnant water. Leptospirosis, which is transmitted through contaminated water, is also more common during this period. The DOH issues advisories to inform the public about these diseases and how to prevent them.
3. Preparedness and Response: The DOH aims to promote preparedness and timely response to public health emergencies. By issuing advisories in advance, they can inform the public about potential health risks, preventive measures, and necessary actions to take. This helps individuals and communities be better prepared and able to respond effectively to health threats.
4. Awareness and Education: Public health advisories serve as a means to educate and raise awareness about health-related issues. The DOH uses these opportunities to disseminate information on proper hygiene practices, sanitation, vaccination, and other preventive measures. By targeting specific months, they can address the specific health concerns associated with that time of the year.
It's important to note that the specific reasons for issuing advisories during these months may vary depending on the region and prevailing health risks. The DOH assesses local epidemiological data and collaborates with other agencies to determine the appropriate timing and content of the advisories.
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Convert standard atm pressure into Pa. 1.) 10.2atm = _____Pa 2.) 2.05atm = _____Pa 3.) 0.50atm = _____Pa
Answers
To convert standard atmospheric pressure into Pascals, we can use the conversion factor of 1 atm = 101,325 Pa.
To convert standard atmospheric pressure (atm) into Pascals (Pa), we need to know the conversion factor between these units. The standard atmospheric pressure is defined as 1 atm, which is equivalent to 101,325 Pa. Therefore, we can use this conversion factor to convert any given pressure value from atm to Pa.
1.) To convert 10.2 atm into Pa, we can use the formula:
Pressure in Pa = Pressure in atm x Conversion factor
= 10.2 atm x 101,325 Pa/atm
= 1,033,455 Pa
Therefore, 10.2 atm is equivalent to 1,033,455 Pa.
2.) To convert 2.05 atm into Pa, we can use the same formula:
Pressure in Pa = Pressure in atm x Conversion factor
= 2.05 atm x 101,325 Pa/atm
= 207,961.25 Pa
Therefore, 2.05 atm is equivalent to 207,961.25 Pa.
3.) To convert 0.50 atm into Pa, we can use the same formula:
Pressure in Pa = Pressure in atm x Conversion factor
= 0.50 atm x 101,325 Pa/atm
= 50,662.5 Pa
Therefore, 0.50 atm is equivalent to 50,662.5 Pa.
In summary, to convert standard atmospheric pressure into Pascals, we can use the conversion factor of 1 atm = 101,325 Pa. By multiplying the given pressure value in atm with this conversion factor, we can obtain the equivalent pressure value in Pa.
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Two guys who weight the same are holding onto a massless pole while standing on horizontal frictionless ice.
1)If the guy on the left starts to pull on the pole, where do they meet?
-3 m
0
+3m
Answers
The answer is +3m, meaning that the two guys who weight the same are holding onto a massless pole while standing on horizontal frictionless ice meet 3m away from their initial position on the left and right sides of the pole, respectively.
Assuming that the two guys ( standing on horizontal frictionless ice) and the pole form a system in equilibrium, any force applied by one of the guys on the pole will cause a corresponding reaction force on the other guy. If the guy on the left starts to pull on the pole, he will create a clockwise torque around the center of mass of the system, which will cause the system to rotate. The reaction force on the other guy will be in the opposite direction, creating a counterclockwise torque. The position where the two torques balance each other is where the system comes to rest. Since the guys and the pole are symmetric, the center of mass of the system is at the midpoint of the pole, which is the point equidistant from the two guys. Therefore, the system will rotate until the guy on the right moves 3 meters to the right, and the guy on the left moves 3 meters to the left. At this point, the clockwise and counter-clockwise torques are equal and opposite, and the system comes to rest.
Therefore, the answer is +3m, meaning that the two guys ( standing on horizontal frictionless ice) meet 3 meters away from their initial position on the left and right sides of the pole, respectively.
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A car accelerates uniformly from rest to a speed of 18 m/s in 12 seconds. Find the acceleration of the car over this period.
Answers
The correct answer is \(1.5 m/ s^{2}\)
Explanation:
In general terms, the acceleration refers to how velocity changes or increases. This is measured in meters per second squared (\(m/s^{2}\)) or similar units such as kilometers per hour squared (\(km/h^{2}\)). Moreover, to calculate acceleration it is necessary to subtract the initial velocity from the final velocity and then divide this into the time. The formula and operation are shown below:
\(a (acceleration) = \frac{v (final velocity) - u (initial velocity)}{t (time)}\)
\(a= \frac{18 m/s - 0 m/s}{12 s}\) (Initial velocity is 0 m/s because the car was at rest)
\(a = \frac{18 m/s}{ 12 s}\)
\(a = 1.5 m/s^{2}\)
According to this, the acceleration of the car was \(1.5 m/s^{2}\)
URGENT‼
Physics Angled Projectile
Answers
Answer:
5. 0.5 m/s
6. 2.06 m/s
7. 0.22 m
Explanation:
From the question given above, the following data were obtained:
Horizontal range (Rₓ) = 0.21 m
Time of flight (T) = 0.421 s
Time (t) to reach the top = 0.2105 s
5. Determination of the horizontal velocity of the ball.
Horizontal range (Rₓ) = 0.21 m
Time of flight (T) = 0.421 s
Horizontal velocity (vₓ) =?
Rₓ = vₓ × T
0.21 = vₓ × 0.421
Divide both side by 0.421
vₓ = 0.21 / 0.421
vₓ = 0.5 m/s
Thus, the horizontal velocity is 0.5 m/s.
6. Determination of the initial vertical velocity of the ball.
Time (t) to reach the top = 0.2105 s
Final vertical velocity (vբᵧ) = 0 m/s
Acceleration due to gravity (g) = 9.8 m/s²
Initial vertical velocity (vᵢᵧ) =?
vբᵧ = vᵢᵧ – gt (ball is going against gravity
0 = vᵢᵧ – (9.8 × 0.2105)
0 = vᵢᵧ – 2.06
Collect like terms
0 + 2.06 = vᵢᵧ
vᵢᵧ = 2.06 m/s
Thus, the initial vertical velocity of the ball is 2.06 m/s.
7. Determination of the maximum height reached by the ball.
Time (t) to reach the top = 0.2105 s
Acceleration due to gravity (g) = 9.8 m/s²
Maximum height (h) =?
h = ½gt²
h = ½ × 9.8 × 0.2105²
h = 4.9 × 0.2105²
h = 0.22 m
Thus, the maximum height reached by the ball is 0.22 m
A +0.0129 C charge feels a 4110 N
force from a -0.00707 C charge. How
far apart are they?
[?] m
Answers
Answer:
r = 14.13 m
Explanation:
Given that,
Charge 1 = +0.0129 C
Charge 2 = -0.00707 C
The force between charges, F = 4110 N
We need to find the distance between charges. Let the distance be r. The force between two charges is given by :
\(F=\dfrac{kq_1q_2}{r^2}\\\\4110=\dfrac{9\times 10^9\times 0.0129\times 0.00707}{r^2}\\\\r=\sqrt{\dfrac{9\times 10^9\times 0.0129\times 0.00707}{4110}} \\\\r=14.13\ m\)
So, the distance between charges is equal to 14.13 m.
Answer:
14.13 m
Explanation:
acellus
help!! what are the blanks???
Answers
The earth receives energy from the sun in one day than all the energy consumed by humans in one year.
Amount of energy received from the sun
The sun provides around 174 petawatts of energy to Earth, of which 89 petawatts is absorbed by the planet.
The Global energy consumption is roughly 15 terawatts annually.
Thus, we can conclude that, the earth receives energy from the sun in one day than all the energy consumed by humans in one year.
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A bullet is fired upward with an initial velocity of 100 m/s. What will be it’s velocity when it hit the ground?
Answers
A bullet is fired upward with an initial velocity of 100 m/s. What will be it’s velocity when it hit the ground?
Zero. It is sitting on the ground. This would almost always “assume” a friction-less environment where the only force acting on the bullet is gravity. In this case, it would be 100 m/s immediately before hitting the ground. (zero once it comes to rest)
Electromagnetic waves are made by vibrating electric charges and can travel through what
Answers
Answer:
vibrates, and they carry energy from one place to another. Look at the sound wave and the water wave. vibrating electric charges and can travel through space where matter is not present. to particle, electromagnetic waves travel by transferring energy between vibrating electric and magnetic fields.
The Witness Experimenter configure options include a Skip field. What does the skip value do? a. Increases the simulation run speed b. Resets the statistics for the warm up period c. Sets the length of the warm up period d. Misses out a different number of random numbers for each replication e. Changes the random number streams for each replication
Answers
The Witness Experimenter configure options include a Skip field that misses out on a different number of random numbers for each replication (Option D).
What are the Experimenter configure options?Experimenter configure options are some basic settings of a Witness experiment. These settings influence how the experiment would behave and what output is produced. With the help of configure options, you can set the value of random number streams and skip replication.
The skip value misses out on a different number of random numbers for each replication. As a result, this provides some level of control over the replication. By changing the value of the skip, you can control which random numbers should be missed and which should not be missed. In addition, by using the skip field, you can increase the simulation run speed. As a result, you get better output in less time.
Thus, the correct option is D.
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A person weighing 645 N climbs up a ladder to a height of 4.55 m. What is the
increase in gravitational potential energy?
Answers
Answer:
P.E = 2934.75
Explanation:
Potential energy can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
\( P.E = mgh\)
Where, P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Given the following data;
Weight =645
Height = 4.55
\( P.E = mgh\)
But we know that weight = mg = 645N
Substituting into the equation, we have;
\( P.E = 645 * 4.55 \)
\( P.E = 2934.75 J\)
Potential energy, P.E = 2934.75 Joules.
canadas largest trading partner is
Answers
Answer:
united states
Explanation:
give brainiest please
Lower chamber of Congress has how many members?
Answers
Answer:435 Representatives
Explanation:The lower chamber of Congress, in which the number of representatives per state is determined by the state's population, with 435 Representatives total. Members of the House of Representatives serve two-year terms, so they are up for reelection every two years.
a -0.06 C charge is placed in a uniform electric field with a strength of 200 N/C. what is the magnitude and direction of the force on the charge
Answers
The magnitude and direction of the force on the charge is -12 N opposite the electric field
To calculate the force on a charge in an electric field, we make use of the formula below.
Formula
F = E×Q .......................... Equation 1
Where:
F = Force on the chargeE = Electric FieldQ = chargeFrom the question,
Given:
E = 200 N/CQ = -0.06 CSubstitute these values into equation 1
F = 200(-0.06)F = -12 NNote: The negative sign indicates that the force is in the direction negative of the electric field.
Hence, The magnitude and direction of the force on the charge is -12 N opposite the electric field
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Answer: A edge 202694020
Explanation:
HELP DUE IN AN HOUR!! said last answer choice was incorrect.
Answers
During the previous year, Zach's weather station measured 0.8 yards of rain. Express this amount in cm.
Answers
Answer:
73.152cm
Explanation:
We have been given:
0.8yards of rain
Problem, convert to cm = ?
Solution:
The problem deals with the conversion from one length dimension to another.
So:
1 yard = 91.44 cm
So 0.8 yards = 0.8 x 9.44 = 73.152cm
The solution to this problem is 73.152cm
If the distance between the magnets tripled what would happen to the force between the 2 magnets?
Answers
Answer:
Our Repelling Force Magnet Calculator shows the repelling force on a magnet that happens when another magnet of the same size is placed at some distance from it, with like poles facing one another. The force depends on the distance between the magnets. The farther apart the magnets are, the weaker the force.
Explanation:
I need help with this please
Answers
Answer:
It is positive
Explanation:
The area is only concentrated with red protons
A small toddler is playing in his yard. Over the course of 29.01 s, he walks 2.099 m S before turning N and walking 1.429 m. What is his average velocity?
Answers
Answer:
0.0231 m/s
Explanation:
Given the question :
A small toddler is playing in his yard. Over the course of 29.01 s, he walks 2.099 m S before turning N and walking 1.429 m. What is his average velocity?
Distance walked south = 2.099 metre
Time taken = 29.01s
Distance walked north = 1.429 metre
Average Velocity = Displacement / time
The Displacement is hence,
(2.099 m - 1.429m) = 0.67m
Average Velocity = 0.67m / 29.01s
Average Velocity = 0.02309 m/s
Average Velocity = 0.0231 m/s
Give an example of Newton's second law in everyday life?
Answers
What other changes in the specimen are seen when viewed through the ocular lenses?
Answers
When viewed through the ocular lenses, other changes in the specimen become apparent.
When observing a specimen through the ocular lenses, which are located in the eyepiece of a microscope, several changes in the specimen become evident. These changes are due to the magnification and focusing capabilities of the microscope, which allow for a detailed examination of the specimen at a much higher level than the eye.
Firstly, the ocular lenses increase the magnification of the image, enabling the observer to see smaller details that may not be visible without the use of a microscope. This enhanced magnification reveals the intricate structures and finer features of the specimen, providing a more comprehensive understanding of its composition and organization.
Secondly, the ocular lenses contribute to the depth of field, which refers to the range of focus in an image. By adjusting the focus using the fine adjustment knobs on the microscope, different planes of the specimen can be brought into sharp focus. This ability to control the depth of field allows for a clearer view of specific regions of interest within the specimen, making it easier to analyze and study specific structures or components.
Lastly, the ocular lenses aid in the observation of color and contrast. Microscopes often include adjustable diaphragms and filters that can enhance the contrast or modify the lighting conditions, thereby improving the visibility and differentiation of various components within the specimen. This enhanced color and contrast perception can reveal important details that may have been otherwise obscured or difficult to discern.
In summary, when viewed through the ocular lenses of a microscope, the specimen undergoes changes that include increased magnification, improved depth of field, and enhanced color and contrast perception. These changes enable researchers, scientists, and students to explore and analyze the specimen in greater detail, uncovering a wealth of information that may not be visible to the eye.
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capacitor 2 has half the capacitance and twice the potential difference as capacitor 1.
Answers
The solution for the given capacitance is 0.5 .
When capacitance rises, what happens to the potential difference?If the charge is maintained constant, the capacitance will only decrease as the potential increases.The equation states that when the potential difference is smaller, capacitance is larger.
Uc = \(0.5 * C * V^2,C\) = Capacitance,V = Potential,Then\(,C1 = 2C2,V2 = 2V1\),Then \((Uc)1/(Uc)2 = (0.5 * C1 * V1^2) / (0.5 * C2 * V2^2) = 2/4 = 0.5.\)
What distinguishes capacitance from potential?
Capacitance measures the capacity to store charge, whereas electric potential assesses the capability to do work on a charge.Coulomb / Voltage (C/V), which represents the quantity of charge existing per applied voltage, is the measurement unit for capacitance.
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The Sankey diagram below shows the energy transfers in a computer. 100 J of energy are input, it is carried to the computer by
What one word completes the sentence?
Answers
Answer:
electricity
Explanation: