The highest to which the first projectile rises will be equal to 51.25 m and the second projectile is 76.29 m.
What is Projectile Motion?A projectile can be defined as an object that will be thrown obliquely near the surface, it follows along a curved path with constant acceleration.
In a Projectile Motion, along the y-axis, there is a constant acceleration, responsible for the vertical motion of the particle while along the x-axis plotted is uniform velocity, responsible for the horizontal motion.
The maximum height of the first projectile is given by:
[tex]\displaystyle Y_1 = \frac{u^2sin^2\theta}{2g}[/tex]
The maximum height of the second projectile is given by:
[tex]\displaystyle Y_2 = \frac{u^2sin^2(90-\theta)}{2g}[/tex]
[tex]\displaystyle Y_2 = \frac{u^2cos^2\theta}{2g}[/tex]
[tex]\displaystyle Y_2 -Y_1 = \frac{u^2(cos^2-sin^2\theta)}{2g}[/tex]
[tex]\displaystyle Y_2 -Y_1= \frac{u^2cos2\theta}{2g}[/tex]
Given, height difference Y₂ - Y₁ = 25 m, initial velocity, u = 50m/s
[tex]\displaystyle 25 = \frac{(50)^2cos2\theta}{2\times 9.8}[/tex]
cos 2θ = 0.196
θ = 39.34°
[tex]\displaystyle Y_1 = \frac{(50)^2sin^2 (39.34)}{2\times 9.8}[/tex]
Y₁ = 51.25 m
[tex]\displaystyle Y_2 = \frac{(50)^2sin^2 (50.66)}{2\times 9.8}[/tex]
Y₂ = 76.29 m
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Four round objects of equal mass and radius roll without slipping along a horizontal surface that then bends upward and backward into an arc of half a circle. The objects all have the same linear speed initially. The objects are a hollow cylinder, a solid cylinder, a solid sphere, and a hollow sphere. The objects to go up the arc and exit the are going in the opposite direction they entered without falling off the arc. Now, several trials are run for each object. For each trial, the initial speed of the object is reduced until the object does not make it through the full arc. The speed needed for each object to just make it through the arc is recorded. Which of the following correctly lists the objects in order from fastest to slowest speed needed to make it through the arc?
A. Hollow cylinder, hollow sphere, solid cylinder, solid sphere
B. Hollow cylinder, solid sphere, solid cylinder, hollow sphere
C. Solid sphere, solid cylinder, hollow sphere, hollow cylinder
D. Solid sphere, hollow sphere, solid cylinder, hollow cylinder
E. Hollow sphere, solid cylinder, hollow cylinder, solid sphere
Answer:
A
Explanation:
inertia Equation for All Object is k m R²
inertia Equation of Hollow Cylinder I = m R²
inertia Equation of Solid Cylinder I = ½ m R²
inertia Equation of Hollow Sphere I = ⅔ m R²
inertia Equation of Solid Sphere I = 2/5 m R²
to find the speed needed we can use Mechanical Energy (ME). or Total Energy.
ME = Translation Kinetic Energy + Rotation Kinetic Energi
ME = ½ m v² + ½ I w²
ME = ½ m v² (1 + k)
v² = 2ME / m(1+k)
sinnce all objects have the same mass, we can figure that v² is proportionally with 1/(1+k)
v²(hc) = 1/(1+1) = ½ = 0.5
v = 0.707
v²(sc) = 1/(1+½) = 2/3 = 0.67
v = 0.818
v²(hs) = 1/(1+⅔) = 3/5 = 0.6
v = 0.744
v²(ss) = 1/(1+²/5) = 5/7 = 0.71
v = 0.842
these is the ratio of speed they produce in the end of the arc with initial speed = 0 m/s
so, if we must give speed to the object so that it can reach the end of the arc, the fastest speed is given to hollow cylinder and the slowest speed is given to Solid Sphere
Then the answer is
HC, HS, SC, SS
Solid sphere, solid cylinder, hollow sphere, hollow cylinder correctly lists the objects in order from fastest to slowest speed needed to make it through the arc.
What is inertia?A body's inertia is a characteristic that makes it resist attempts to move it or, if it is already moving, to change the speed or direction of it.
Mathematically:
inertia All Object is = k m R²
inertia of Hollow Cylinder I₁ = m R²
inertia of Solid Cylinder I₂ = ½ m R²
inertia of Hollow Sphere I₃ = ⅔ m R²
inertia of Solid Sphere I₄ = 2/5 m R²
Total kinetic energy of a body while it roll without slipping = Translation Kinetic Energy + Rotation Kinetic Energi
= ½ m v² + ½ I w²
= ½ m v² (1 + k)
= 2 KE / m(1+k)
Since all objects have the same mass and, v² can be expressed as proportionally with 1/(1+k).
For hollow cylinder: v₁² = 1/(1+1) = ½ = 0.5
v₁ = 0.707
For solid cylinder: v₂²= 1/(1+½) = 2/3 = 0.67
v₂ = 0.818
For hollow sphere: v₃² = 1/(1+⅔) = 3/5 = 0.6
v₃ = 0.744
For solid sphere: v₄² = 1/(1+²/5) = 5/7 = 0.71
v ₄= 0.842
The objects in order from fastest to slowest speed needed to make it through the arc are correctly listed as:
solid sphere > solid cylinder > hollow sphere > hollow cylinder.
Option (C) is correct.
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If sound waves require a medium (material) to vibrate in order to produce a sound, can sound waves travel in outer space? Why or why not?
Sound waves requires a medium (material) to vibrate in order to produce a sound. So sound waves cannot travel in outer space as it is vacuum.
A student constructs four electric circuits.
Each circuit includes two bulbs and an ammeter.
All the bulbs, all the cells and all the ammeters are identical.
The ammeter readings for the first two circuits are shown.
Use values from the box to complete the ammeter readings for the other two circuits.
Answer:
Part A
The ammeter reading for the current flowing through the second bulb, in the third circuit is 0.43 A
Part B
The ammeter reading for the total current coming from the cell is 0.86 A
Explanation:
The given electric circuit schematics includes;
The number of bulbs in each circuit = 2 bulbs
The number of ammeter in each circuit = 1 ammeter
The number of cells in each circuit = 1
Each circuit have identical bulbs, cells and ammeters
Part A
Ammeter reading for the third circuit
The given reading for the total current going to the cell, [tex]I_T[/tex] = 0.86 A
The reading for the current flowing through one of the bulbs, I₁ = 0.43 A
Therefore, given that the bulbs are arranged in parallel, and the bulbs have identical resistance, 'R', the current flowing in the second bulb, I₂, is given by the current divider rule as follows;
[tex]I_2 = \dfrac{R}{R + R} \times I_T = \dfrac{R}{2 \cdot R} \times I_T = \dfrac{1}{2} \times I_T[/tex]
∴ The ammeter reading for the current flowing through the second bulb, in the third circuit I₂ = (1/2) × (0.86 A) = 0.43 A
Part B
Ammeter reading for the third circuit
The total current coming from the cell = The current passing through the bulbs = I₁ + I₂
The ammeter reading for the total current coming from the cell = 0.43 A + 0.43 A = 0.86 A = [tex]I_T[/tex]
Which of the following is NOT true about noon in the Northern Hemisphere, on January 1?
A. The sun has reached its highest altitude for that day.
B. Your shadow is the shortest it will be that day.
C. Your shadow points due north.
D. The Sun is directly overhead.
Answer:
The answer is D
Explanation:
What is the velocity of a 65 kg runner with 90 kg m/s of momentum.
Answer:
[tex]\boxed {\boxed {\sf v \approx 1.46 \ m/s}}[/tex]
Explanation:
Momentum is the product of mass and velocity.
[tex]p=mv[/tex]
We know the mass is 65 kilograms and the momentum is 90 kilograms meters per second.
[tex]m= 65 \ kg \\p= 95 \ kg \ m/s[/tex]
Substitute the values into the formula.
[tex]95 \ kg \ m/s= 65 \ kg *v[/tex]
Since we are solving for velocity, we must isolate the variable (v). It is being multiplied by 65 kg. The inverse of multiplication is division, so we divide.
[tex]\frac {95 \ kg \ m/s}{65 \ kg }= \frac {65 \ kg *v}{65 \ kg}[/tex]
[tex]\frac {95 \ kg \ m/s}{65 \ kg }=v[/tex]
The kilograms cancel when divided.
[tex]1.46153846 \ m/s=v[/tex]
Let's round to the nearest hundredth. The 1 (in the thousandth place) tells us to leave the 6.
[tex]1.46 \ m/s \approx v[/tex]
The velocity is approximately 1.46 meters per second.
2 What is the net force on an object when you combine a force of 17 N north with a force of 9 N north?
Be sure to include the direction of the force.
Answer:
5N NORTH
Explanation:right on edge
What are examples of changes in people, animals, or objects that would help you make a claim about their age? NO LINKS OR YOURE GETTING REPORTED. Thanks
It’s Earth Science
Answer:
An example of changes in people based on their age, are mood changes,playfulness and as of objects you can say old or broken, animals can use the same reference as humans, the more mature you are can suggest your older, such as the more worn down your are based on a object
A small person was running way faster than a bigger person that weighed more collided in a football game. Who would be pushed back or down?
Answer:
smaller one
Explanation:
even though he is moving quicker doesn't mean he will be packing more force in the collision
Which of the following best describes the circuit shown below?
A. Short
B. Combination
C. Series
D. Parallel
Answer:
The answer is C. Series.
Why is the magnetic force considered to be an action datance force
A Magnets in de bo exert a force
B. Magnets do not have to touch each other to experience a force.
C. Magnets push each other apan to increase the distance between them.
D Magnets mast be large in sire in onder to eden a force that is strong enough to notice
pls answer this question
Explanation:
on the left side the forces add to 150N
on the right side the forces add to 300
you then take away 150 from 300
=150N to the right
answer Is C
How can I rewrite the equation a - b = d using addition?
Explanation:
A=b+d that is the way to rewrite the equation
What is the color of lava at its hottest? Help asap
Answer:
the color the lava would be is orange
Explanation:
molten rock, known as magma, erupts through fissures in earths crust becoming lava. If that lava rises above 525 C (977 F) it glows red, with hotter lavas it becomes orange or even yellow.
hope this helps you.
Two waves, each with an amplitude of 0.5m are superimposed with constructive interference such that they are in phase. Describe the resultant amplitude
The resultant amplitude of the two waves is 1.0m
Interference occurs when two or more waves are superimposed over each other. These waves can either be destructive or constructive in nature. If the waves are superimposed with constructive interference such that they are in phase, the resultant amplitude will be the sum of the amplitude of both waves.Resultant amplitude = 0.5m + 0.5m
Resultant amplutude = 1.0m
Hence the resultant amplitude of the two waves is 1.0m
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Which statement is true of an alpha particle?
A. It is electromagnetic radiation, not a true particle.
B. It is an electron.
C. It is the largest decay particle
D. It is a particle that travels at the speed of light.
Answer:
Atoms are made up of various parts; the nucleus contains minute particles ... neutrons, and the atom's outer shell contains other particles called electrons. ... Physical Forms of Radiation; Radioactive Decay; Nuclear Fission; Ionizing Radiation ... of high-energy waves that can travel great distances at the speed of light and ...
Explanation:
The true statement of an alpha particle is it is an electron. The correct option is B.
What is an alpha particle?The alpha particle are composite particles which consists of two protons and two neutrons tightly bonded together. They are ejected from the inside the nucleus of heavy radioactive particles, also called alpha decay.
Atoms are made up electrons orbiting in outer shells, protons and neutrons in the nucleus. The radioactive particle emit highly ionized radioactive rays which ionize electrons emitting alpha particle.
Thus, the correct option is B.
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how is momentum of an object related to stopping distance
Answer:
To stop a car must lose its momentum and its kinetic energy. ... If the forces on two cars are equal then the greater the kinetic energy the greater the distance before stopping. But there will be a relationship to the momentum because momentum and mass are both related to the kinetic energy.
A uniform plank of mass 10kg and length 10m rests on two supports, A and B as shown. A boy of weight 500N stands at a distance of 2m from A. Find the reaction forces U¹ and U² at the supports A and B respectively
Answer:
U² = 142.86 N
U¹ = 357.14 N
Explanation:
Taking summation of the moment about point A, we get the following equilibrium equation: (taking clockwise direction as positive)
[tex]W(2\ m) - U^2(7\ m) = 0[/tex]
where,
W = weight of boy = 500 N
U² = reaction ay B = ?
Therefore,
[tex](500\ N)(2\ m)-(U^2)(7\ m)=0\\U^2=\frac{1000\ Nm}{7\ m}\\[/tex]
U² = 142.86 N
Now, taking summation of forces on the plank. Taking upward direction as positive, for equilibrium position:
[tex]W-U^1-U^2=0\\500\ N - 142.86\ N = U^1\\[/tex]
U¹ = 357.14 N
What are examples of convection currents?
The movement of warm air into cooler air and cooler air into warm air.
The movement of cool water into warmer water and warmer water into the cool water.
The displacement of air/water molecules by other air/water molecules due to varying temperatures.
All of the above.
Answer:
I would say all of the above.
Explanation:
Look below for more examples
If both cars are the same mass and hit each other at the same speed (in opposite directions):
1.) They both come to a stop.
2.) They come out of the collision at random speeds.
3.) They come out of the collision at the same speeds they entered it.
4.) They come out of the collision at the same velocities they entered it.
A car increases from 15 km/s to 45 km/s in 5 seconds. Calculate the average acceleration of the car during these 5 seconds. (2 points) A. 6 km/s2 B. 12 km/s2 C. 30 km/s2 D. 60 km/s2
When acceleration and velocity are the in the same direction, the speed will
Answer:
slowing down.
Explanation:
acceleration points in the same direction as the velocity, the object will be speeding up. And if the acceleration points in the opposite direction of the velocity, the object will be slowing down
How can seismographs be used to predict hurricane intensity?
Answer: The earth is a noisy place. Seismometers, which measure ground movements to detect earthquakes, volcanic eruptions, and manmade explosives, are constantly recording smaller vibrations caused by ocean waves, rushing rivers, and industrial activity.
Explanation:
PLEASE HELP ASAP!!!!!!!1
Age of dino: Mesozoic era
End of earth a dessert: End of the Mesozoic
a layer: Paleozoic
will give you brainliest pls help
1. All the relevant resistors are in series, so the total (or equivalent) resistance is the sum of the resistances of the resistors: 20 Ω + 80 Ω + 50 Ω = 150 Ω [choice A].
2. The ammeter will read the current flowing through this circuit. We can find the ammeter reading using Ohm's law in terms of the electromotive force provided by the battery: I = ℰ/R = (30 V)(150 Ω) = 0.20 A [choice C].
3. The voltmeter will measure the potential drop across the 50 Ω resistor, i.e., the voltage at that resistor. We know from question 2 that the current flowing through the resistor is 0.20 A. So, from Ohm's law, V = IR = (0.20 A)(50 Ω) = 10. V, which will be the voltmeter reading [choice F].
4. Trick question? If the circuit becomes open, then no current will flow. Moreover, even if the voltmeter were kept as element of the circuit, voltmeters generally have a very high resistance (an ideal voltmeter has infinite resistance), so the current moving through the circuit will be negligible if not nil. In any case, the ammeter reading would be 0 A [choice B].
Which colour of light in a prism has the
shortest wavelength? Explain
your answer.( 38 points )
☁️ Answer ☁️
Violet
Explanation:
1. As the full spectrum of visible light travels through a prism, the wavelengths separate into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength, at around 700 nanometers.
2. Isaac Newton's experiment in 1665 showed that a prism bends visible light andthat each color refracts at a slightly different angle depending on the wavelength of the color.
Here's the link if you want to know more:
https://science.nasa.gov/ems/09_visiblelight#:~:text=As%20the%20full%20spectrum%20of%20visible%20light%20travels,has%20the%20longest%20wavelength%2C%20at%20around%20700%20nanometers.
Hope it helps.
Have a nice day noona/hyung.
Answer:
Violet
Explanation:
As the full spectrum of visible light travels through a prism, the wavelengths separate into the colors of the rainbow because each color is a different wavelength. Violet has the shortest wavelength, at around 380 nanometers, and red has the longest wavelength, at around 700 nanometers.
A projectile only accelerates in which direction?
Answer:
the projectile travels with a constant horizontal velocity and a downward vertical acceleration.
Seasons are more noticeable in places that are____from to the equator
Farther
Or
Closer
2.gravity and wind move water
True or false
It is for today pls help
Only the healthy foods we eat provide
energy to our body
true
false
Answer:
True
Explanation:
Yes absolutely the food which provede us energy is termed as healthy..
Laundry in a clothes dryer often becomes charged with static electricity while drying. Which of these best explains why a clothes dryer often generates static electricity?
A: Heat from the dryer charges the air and produces lightning.
B: Clothes with metal pieces conduct electricity in the dryer.
C: Electrons are transferred as clothes rub against each other in the dryer.
When 525 J of heat is added to 7.6 g of metal at 26°C, the temperature increases to 80°C. What is the specific heat of the metal?
Ans the answer is 0.25J
Explanation
i guess