Two objects are thrown vertically upwards at the same time at speeds of 50 m/s and 80 m/s, as shown in the figure. What should the height, h, be so that both objects land at the same time?
Answers
The kinematics allows finding the result for the height of the cliff so that the bodies go down together is: 1,533 m
Kinematics studies the movement of bodies, finding relationships between the position, velocity and acceleration of bodies
In this case the bodies are thrown vertically so their acceleration is the gravity acceleration, directed downwards.
Let's set a reference system with the positive upward direction and zero at the base of the cliff, let's use the subscript 1 for the body that comes out from the bottom of the cliff and the subscript 2 for the body that comes out of the top, the equations for each body they are:
body 1
[tex]v_1^2 = V_{o1}^2 - 2g (y_1-y_{o1} )[/tex]
body 2
[tex]v_2^2 = v_{o2}^2 - 2g (y_2-y_{o2})[/tex]
In this case they indicate the initial velocities of each body, [tex]v_{o1}[/tex] = 80 m/s and [tex]v_{o2}[/tex] = 50 m/s, the initial height [tex]y_{o1}[/tex] = 0 and [tex]y_{o2}[/tex] = h, when the bodies fall at the same time they must begin to descend from the same height
y₁ = y₂
The velocities at this point must be zero
v₁ = v₂ = 0
We substitute
0 = [tex]v_{o1}^2 - 2 g y[/tex]
0 = [tex]v_{o2}^2 - 2 g ( y + h)[/tex]
Let's solve the system of equations
[tex]h = \frac{v_{o1} - v_{o2}}{2g}[/tex]
Let's calculate
h = [tex]\frac{80-50}{2 \ 9.8}[/tex]
h = 1.53 m
Consequently, the kinematics allows finding the result for the height of the cliff so that the bodies go down together is: 1.53 m
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Related Questions
Please help ASAP I need help
Answers
Answer:
I think the answer is A,B,C
Explanation:
Evelyn learns that a sound wave can be recorded electronically as an analog signal or as a digital signal. She investigates these two signal types. She records her voice using a tape recorder, which uses an analog signal to produce sound when played back. She also records her voice using a computer, which uses a digital signal to produce sound when played back. Evelyn replays each recording 100 times.
a. Describe a difference that Evelyn would most likely hear between the two recordings after being replayed 100 times.
b. Explain why the two recordings would sound different after being replayed 100 times.
Answers
a)The analog signal's pitch and frequency change each time. It is continuous in the digital signal.
What is the digital signal?A digital signal is one in which data is represented as a series of discrete numbers.
To reduce the influence of noise in communication, a digital signal is utilized. When compared to analog signals, digital signals convey more information per unit of time.
a)Evelyn would most likely notice a difference between the two recordings after hearing them 100 times is that the analog signal's pitch and frequency change each time. It is continuous in the digital signal.
b)After 100 replays, the two recordings would sound different since the digital signal has a greater quality throughout long-distance transmission.
When digital signals are transferred, the amount of bandwidth used is lowered.
Hence, the digital signal has a greater quality throughout long-distance transmission causing two recordings would sound different.
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How does Newton’s first law apply to roller coasters or other amusement park rides? Use inertia in your response. Look at page 417
Answers
Answer:
Below
Explanation:
Here is what newton's first law states :
" An object will remain in straight line motion due to inertia unless acted on by an external force"
If you've ever been on a roller coaster you would know that when you go over the top of the roller coaster you feel lighter or feel like you are being lifted out of your seat. This is due to the effect of interia! Because the roller coaster car is a mass, it wants to continue in the direction it is traveling. If the roller coaster is going up the hill, the acceleration of the coaster wants to keep pushing you up. However, when the coaster goes over the hill, the force of gravity is pulling you down. The track forces the coaster to go down, and gravity is the force that is pulling it down. This is the force that changes the object's motion.
Hope this helps!
What is the age of a meteorite if potassium-40 decayed from 80 g to 10 g? The half-life of potassium-40 is 1.3 billion years.
Answers
Answer:
10 / 80 amount of potassium-40 remaining
1/8 = 1/2 * 1/2 * 1/2 = 3 half-lives
3 half-lives * 1.3E9 yrs / half-life = 3.9E9 yrrs
After 3.9 billion years the 80 g will have decayed to 10 g
Answer:
3.9 billion years
Explanation:
i took test
suppose a 51 kg bungee jumper steps off the royal gorge bridge, in colorado. The bridge is situated 321 m above the arkansas river. the bungee cords spring constant is 32 N/m, the cords relaxed length is 104m and its length is 179m when the jumpers stops falling. what is the total potential energy associated with the jumper at the end of his fall? assume that the bungee cord has negligible mass
Answers
The total potential energy associated with the jumper at the end of his fall is 90,000 J.
The given parameters;
mass of the jumper, m = 51 kgheight of the bridge. h = 321 mspring constant of the cord, k = 32 N/mextension of the cord, x = 179 m - 104 m = 75 mThe total potential energy associated with the jumper at the end of his fall is calculated as follows;
U = ¹/₂kx² + mgΔh
where;
Δh is the change in height after falling
U = ¹/₂(32)(75)² + (51)(9.8)(0)
U = 90,000 J
Thus, the total potential energy associated with the jumper at the end of his fall is 90,000 J.
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you are given two circuits with two batteries of emf e and internal resistance r1 each. circuit a has the batteries connected in series with a resistor of resistance r2, and circuit b has the batteries connected in parallel to an equivalent resistor.
Answers
Answer:
In which direction does the current in circuit A flow?
counterclockwise
What is the power dissipated by the resistor of resistance R2 for circuit A, given that E=10 V, R1=300ohms, and R2=5000ohms? Calculate the power to two significant figures.0.064WFor what ratio of R1 and R2 would power dissipated by the resistor of resistance R2 be the same for circuit A and circuit B?R1/R2 = 1 Under which of the following conditions would power dissipated by the resistance R2 in circuit A be bigger than that of circuit B? Some answer choices overlap; choose the most restrictive answer.R2>R1Explanation:
The current flowing through the circuit A is [tex]I = \frac{e}{r_1 + r_2}[/tex].
"Your question is not complete, it seems to be missing the following information",
find the the current flowing through the resistors in circuit A;
The given parameters;
emf of each battery = einternal resistance of circuit A = r₁resistance of circuit = r₂The equivalent resistance of the circuit A in series is calculated as follows;
[tex]R_e = r_1 + r_2[/tex]
The emf of the battery connected to circuit A
emf = e
The current flowing through the circuit A is calculated as follows;
[tex]V= IR\\\\I = \frac{V}{R} \\\\I = \frac{e}{R_e} \\\\I = \frac{e}{r_1 + r_2}[/tex]
Thus, the current flowing through the circuit A is [tex]I = \frac{e}{r_1 + r_2}[/tex].
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Writ the correct answer 'French word which means Rebirth, revival or rediscovery.'( MUSIC)
Answers
• Revival: reprise
• Rediscovery: redécouverte
I need the right answer ASAP NO LINKS!!!
This a Science question
Answers
A student conducted an experiment to observe the affect of sunlight on plant growth. What is the independent variable of this experiment?
a) the colour of the watering cans
b) the amount of water each set of plants receives
c) whether or not the plants are exposed to sunlight
d) the number of planes used in the experiment
Answers
As temperature increases, ____ energy increases.
Answers
Answer:
Kinetic Energy
Explanation:
Answer:
kinetic
Explanation:
ururhrhrrhrhhrhrhrhrhrhrhhrhrrhehhrhehehehehehehe
Examples of pressure in physics
Answers
Answer:
kettle boiling is an example of pressure in physics
NEED HELP!!!! 10 POINTS!!!!
Marina comes from a family with a lot of heart disease. She knows that she will have to go out of her way to make sure that her heart stays strong and healthy. What would be the BEST exercise to achieve this goal?
A.
yoga
B.
bowling
C.
swimming
D.
weightlifting
PLEASE NO LINKS
Answers
Answer:
yoga
Explanation:
Yoga would be the best exercise to achieve this goal, therefore the correct answer is option A.
What is exercise?Exercise is any activity that utilizes the physical movements of the body that improves a people's health, endurance, and wellbeing while lowering their chance of contracting illnesses. It enables the person to keep their body weight in a healthy weight range.
As given in the problem statement Marina comes from a family with a lot of heart disease. She knows that she will have to go out of her way to make sure that her heart stays strong and healthy.
In a different study, patients with heart failure who completed an eight-week yoga practice demonstrated improvements in their level of well-being and ability to exercise. Additionally, they had reduced blood sugars of inflammation-related indicators, which is linked to cardiovascular disease.
Thus, the appropriate answer for the given problem is option A.
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PLEASE HELP!!!!
What is the measure of The gravitational force on an object?
Answers
weight and mass.
Explanation:
Weight and Mass Mass is a measure of the amount of matter in an object; weight is a measure of the gravitational force exerted on an object. The force of gravity on a person or object at the surface of a planet is known as weight.
Answer:
It's the objects weight
Explanation:
A lighter object will fall slower than a heavier object
heyyyyyyyyyyyyyyyypt2
Answers
The number of protons in an atom is known as its
Answers
Answer:
Atomic number...
Explanation:
The number of protons is the same as the number of electrons. The Atomic mass is the number of both the neutrons and number of protons.
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Which is evidence for the existence of dark energy?
Black holes that are expanding at a constant rate.
Pulsars that seem to be moving closer at an accelerating rate.
Supernovae that are moving away at an accelerating rate.
Galaxies that are rotating at a constant rate.
Answers
Answer: it’s Supernovae that are moving away at an accelerating rate.
The evidence for the existence of dark energy is that Supernovae that are moving away at an accelerating rate.
is evidence for the existence of dark energy.
The first known evidence for dark energy came through from close watch of supernovae in 1998.Much more evidence took taken earlier the year from a survey of 250,000 galaxies.
Dark matter are often known to be matter that we cannot see but one which can exerts a gravitational influence on stars and galaxies.
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An unbalanced force of 20N acts on a 4.0kg mass what is it's acceleration
Answers
Hi there!
According to Newton's second law:
∑F = m · a, where:
∑F = net force (N = kgm/s²)
m = mass (kg)
a = acceleration (m/s²)
Rearrange to solve for acceleration:
F/m = a
20N / 4.0kg = 5 m/s²
Francine ran 3 laps around the track. If the track was 0.25 miles, how far did she run?
What was her displacement at the end of her third lap?
Answers
Answer:
Francine ran a quarter of a mile or 0.75 percent of a mile.
Explanation:
Conservation of Momentum
Answers
Hi there!
This collision is an example of an inelastic collision since kinetic energy is lost from the collision.
We can represent this using the conservation of momentum formula:
m1v1 + m2v1 = m1vf + m2vf
Where:
m1 = blue ball
m2 = green ball
We know that the final velocity of the blue ball is 0, so:
m1v1 + m2v1 = m2vf
Rearrange to solve for the speed of the green ball:
(m1v1 + m2v1)/m2 = vf
Plug in given values:
((0.15 · 3) + (0.15 · 2)) / 0.15 = 5 m/s
sound travels at a speed of 330 m per second how long does it take the sound of thunder to travel 1485m
Answers
Given : Sound travels at a speed of 330m/sec how long does it take the sound of thunder to travel 1485m
Solution : According to the question, here we are given that the speed of sound is 330m/sec and distance travelled is 1485m. So, time needs to be find out. For this we need to use a specific formula.
Time = Distance/Speed
Time = 1485/330 Time = 450 secHenceforth, time taken by the sound is 450 sec
how much heat must you remove from the 2.00 kg of 41.3 C tea to lower its temperature to 0.0 C?
Answers
Using thermodynamics
[tex]\\ \sf\longmapsto Q=mc\Delta T[/tex]
[tex]\\ \sf\longmapsto Q=2(4184)(0-41.3)[/tex]
[tex]\\ \sf\longmapsto Q=8368(-41.3)[/tex]
[tex]\\ \sf\longmapsto Q=345598.4J[/tex]
can somebody help?pls.
A PVC (plastic) rod is rubbed with a nylon cloth. This process causes electrons to be transferred between the rod and the cloth, causing both objects to become charged.
Which of the rows in the table below correctly gives the nature of the charges on both the cloth and the rod, and the effect the objects have on each other after becoming charged?
Answers
Answer:
Charges on rod and cloth : opposite
Effect attract.
Explanation:
Opposite charges attract each other.
Whereas, Same charges repel each other.
The row that represents the nature of the charges and effect on both the cloth and rod is ; ( D ) Charges on rod and cloth are ; opposite while effect is ; Attract
When a plastic rod is rubbed against a nylon cloth it becomes negatively charged while the nylon cloth becomes positively charged.
Opposite charges do not repel each rather they attract each other. therefore after rubbing the plastic rod with the nylon cloth they will become attractive to each other and other oppositely charged materials.
Hence we can conclude that the materials will have opposite charges and will attract each other.
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3
In a race, a car travels 60 times around a 3.6 km track. This takes 2.4 hours.
What is the average speed of the car?
on km/h
Answers
Answer:
V = S / t = 60 * 3.6 km / 2.4 hr = 90 km / hr
Pls i need help :((
Answers
Answer:
a)200 mph
b)80 mph
c)-40 mph
d)97 mph
e)56 mph
(note: i rounded the answer for d, it was a repeating decimal)
Explanation:
a) 3s-0s=3s 600m-0m=600m 600m/3s=200m/s
and it is the same for the rest. Use the explanation for A as a example.
So you take the final variable or speed and subtract it by the starting, then divide that by the time elapsed. Hope this helped!
Krebs Cycle experiment: if you want to increase the rate of the succinate forming fumarate, what could you do to the experiment?
Answers
To increase the rate of the succinate forming fumarate you can increase the ATP and the enzyme that catalyzes this reaction
The Krebs cycle, also known as the citric acid cycle comprises a set of chemical reactions that are essential for organisms to obtain energy.
One of the steps in the cycle involves the use of succinate with a chemical formula of C4H6O4 to form fumarate or C4H4O4. This means in this reaction it is necessary to remove 2 hydrogen atoms.
This process requires two main factors:
ATP or energy the cell uses to carry out the reactionSuccinate dehydrogenase or the enzyme that removes the hydrogen atomsBased on this, the reaction can be faster if there is more succinate dehydrogenase or if the energy increases.
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what would be the football weight on earth
Answers
Answer:
410–460 g (14–16 oz) and is inflated to 65.7–68.8 kPa (9.5–10.0 psi).
Explanation:
Sammy feels an ocean breeze as he plays volleyball at the beach. Why do ocean winds or sea breezes blow toward shore during the day? Question 2 options: Air over the beach heats up, rises and is replaced by ocean air. Earth's rotation causes air to blow toward land. he energy of the ocean storms push air toward shore. Ocean air is less dense, so it rises to replace air over the land.
Answers
The heat coming from the sun warms the land more quickly than the sea. As a result of these, the air near the land warm up and rises and the cooler air from the sea moves in to replace the risen air. The correct answer is option A
There will be heat transfer from a region of higher temperature to the region of lower temperature. But in the case of land and sea breeze, the transfer of heat are the result of convectional current in nature. Because the land is a better absorber of heat and also has a lower specific heat capacity compare to sea, during the day, the heat coming from the sun warms the land more quickly than the sea. As a result of these, the air near the land warm up and rises.
The cooler air from the sea moves in to replace the risen air.
Why do ocean winds or sea breezes blow toward shore during the day ? It is because air over the beach heats up, rises and is replaced by ocean air.
Therefore, option A is correct
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Q.6 Explain conceot of magnetization
Answers
Answer:
Magnetization is the density of magnetic dipole moments that are induced in a magnetic material when it is placed near a magnet. ... Magnetization is also known as magnet polarization.
Calculate momentum- what is the momentum of the wooden ball after the collision?
Answers
Answer:
-32
Explanation:
2 H2O2-> 2H20+02
2. What are the reactants in this reaction?
3. What are the products in this reaction?
4. What happened in this particular reaction? What happens in general decomposition reaction?
Answers
Explanation:
reactants --- hydrogen peroxide ( H2O2).products ----- water ( H2O) and oxygen (O2).decomposition of hydrogen peroxide to water and oxygen.Reaction of decomposition of hydrogen peroxide is very slow in moderate temperatures without the presence of a catalyst [11]. It can be sped up by increasing the temperature, which triggers the reaction of thermal decomposition. This reaction can be carried out in a liquid or vapour phase. This reaction is exothermic.hope this helps you.