The baseball reaches a height of approximately 31.89 meters.
What is the conservation of energy principle?To determine the height reached by the baseball, we can use the conservation of energy principle, which states that the total energy of a system remains constant if there are no external forces acting on it.
At the bottom of its trajectory, the baseball has kinetic energy equal to:
K1 = (1/2) * m * v1^2
= (1/2) * 0.4 kg * (25 m/s)^2
= 125 J
where m is the mass of the baseball and v1 is its velocity at the bottom of its trajectory.
At the highest point of its trajectory, the baseball has potential energy equal to:
U2 = m * g * h
= 0.4 kg * 9.8 m/s^2 * h
= 3.92 h J
where g is the acceleration due to gravity and h is the height reached by the baseball.
Since there are no external forces acting on the baseball, the total energy of the system is conserved. Therefore, the sum of the kinetic energy and potential energy at the bottom of the trajectory must be equal to the potential energy at the highest point of the trajectory:
K1 + U1 = U2
Solving for h, we get:
h = (K1 + U1) / (m * g)
= (125 J + 0) / (0.4 kg * 9.8 m/s^2)
= 31.89 meters
Therefore, the baseball reaches a height of approximately 31.89 meters.
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O
The speed of light inside a medium is (2.0x108m/s). What is the index of refraction (n) of the medium?
see
below
Explanation:
refractive index = speed of light in vacuum / speed of light in medium
light travels at a speed of 3.0 x 10^8 m/s in vacuum
refractive index = 3.0 x 10^8 / 2.0 x 10^8
refractive index = 1.5
hope this helps, please mark it
Displacement is a measure of __________ in ________.
Displacement is a measure of the shortest distance between a starting point and an ending point in meters.
What is displacement?The displacement can be described as the change in the position of an object. The displacement can be described as the minimum length between the initial and the final point.
The displacement is the vector parameter that exhibits both distance and magnitude. Therefore, the measurement of the displacement of an object involves the direction.
Displacement can also be defined as the shortest distance between a starting point of an object and an ending point. Displacement can be measured as a straight line and the SI unit of the displacement is meters and the C.G.S. unit is centimeters.
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A student is planning to make changes to a circuit Which change will
increase the current?
A. Replace the wire with one that is thicker
B. Replace the existing battery with a smaller battery
C. Add an electric bell to the circuit,
D. Replace the wire with one that is thinner,
This question involves the concepts of Ohm's Law.
The change that will increase he current is "D. Replace the wire with one that is thinner"
Ohm's LawAccording to Ohm's law the current is inversely proportional to resistance. Hence, the current can be increased by decreasing the resistance.
Let us analyze each scenario separately:
A. Replace the wire with one that is thicker: Increase in thickness of wire shall increase its resistance. Therefore, the increase in resistance will decrease the current.
B. Replace the existing battery with a smaller battery: Smaller battery will produce lesser charges. Hence, it will decrease the current.
C. Add an electric bell to the circuit: Adding electric bell will add resistance to the circuit. Hence, the resistance will increase and current will decrease.
D. Replace the wire with the one that is thinner: This will decrease the resistance of the wire and in turn increase the current through it.
Therefore, only option that will increase current is option D.
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A pulley lifts a 72-N load with a force of 24-N. The input distance is 2m and the output distance is 0.5m. What is the efficiency of the pulley system
Answer:
Explanation:
Work done on the lever ( input energy ) = force applied x input distance
= 24 N x 2m = 48 J
Work done by the lever ( output energy ) = load x output distance
= 72 N x 0.5m = 36 J
efficiency = output energy / input energy
= 36 J / 48 J
= 3 / 4 = .75
In percentage terms efficiency = 75 % .
this pressure system brings cloudy and stormy weather
The pressure system that brings cloudy and stormy weather is a low-pressure system.
Low pressure systems are characterized by an area of low atmospheric pressure, which causes air to rise and create clouds. As the air rises, it cools, and moisture condenses, forming clouds and rain. This cycle repeats itself until the low-pressure system passes.
Low-pressure systems bring cloudy and stormy weather as they move through an area, as the air is unstable, and the clouds and rain form more quickly. Low-pressure systems can cause more severe weather when they are accompanied by strong winds.
When winds are strong, the pressure difference between the low pressure system and surrounding areas is greater, and the winds can help to push the system along, causing the formation of thunderstorms, heavy rains, and strong winds.
Low-pressure systems often form when warm air from the tropics meets cold air from the poles. This causes a pressure difference and the formation of low-pressure systems. Low-pressure systems can also be caused by the flow of air along the Earth's surface, and by the heating of the Earth's surface.
In summary, a low-pressure system is an area of low atmospheric pressure, which brings cloudy and stormy weather as the air rises and moisture condenses. Low-pressure systems can also bring more severe weather when accompanied by strong winds.
Low-pressure systems often form when warm air from the tropics meets cold air from the poles, from the flow of air along the Earth's surface, or from the heating of the Earth's surface.
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As we move through the visible spectrum, red to violet (right to left in the image), the wavelength __________ and the frequency ____________.
DUE in 10 MINS 20 points will mark BRAINLIEST what happens to a substance when it reaches a point above it's boiling point?
Answer:
When a liquid is heated, it eventually reaches a temperature at which the vapor pressure is large enough that bubbles form inside the body of the liquid. This temperature is called the boiling point. Once the liquid starts to boil, the temperature remains constant until all of the liquid has been converted to a gas.
Explanation:
rank the forms of light from left to right in order of increasing frequency. to rank items as equivalent, overlap them.
Sort the light forms in increasing frequency from left to right. Radio waves, infrared, visible light, ultraviolet, X, and gamma rays are used to rank the items as being equal.
What, for instance, are radio waves?Sound is transmitted to a big audience through Am to FM radio broadcasting. Radio waves are used by radar, a detection technology, to gather information about things. Radio waves are used by Bluetooth enabling wireless communication to link devices.
How and where are radio waves used?For television and FM too Am radio broadcasts, handheld radios, mobile phones, directional antenna, wireless communications networks, and a variety of other communications applications, radio waves at different frequencies are employed. Most radio waves can readily travel through the atmosphere of Earth.
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a swimmer pushes off the pool wall and accelerates at . the friction experienced by the swimmer is . what is the magnitude of the force that the swimmer applies on the wall?
The magnitude of the force applied by the swimmer on the wall can be calculated by multiplying the mass of the swimmer by the acceleration produced by the swimmer.
When a swimmer pushes off the pool wall, they accelerate, and this acceleration is possible due to the force applied to the swimmer by the wall. This force is also applied in an opposite direction to the swimmer, which is known as the force of friction.
The friction is a force that opposes motion between two surfaces in contact. The force applied by the swimmer on the wall is equal and opposite to the force applied by the wall on the swimmer, as per Newton's third law of motion. Therefore, the magnitude of the force that the swimmer applies on the wall is equal to the magnitude of the force that the wall applies on the swimmer.
If the force applied on the swimmer by the wall is F, then the force applied by the swimmer on the wall is also F. The swimmer, being an object in motion, experiences the force of friction, which is equal to the force applied by the wall on the swimmer.
This force of friction is what causes the swimmer to slow down eventually until he/she comes to a stop.
The magnitude of the force that the swimmer applies on the wall is dependent on the mass of the swimmer and the acceleration produced. It can be calculated by using Newton's second law of motion, which states that force is equal to mass times acceleration (F=ma).
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at aphelion, if the gravity between earth and the sun (as well as other planets) suddenly vanished, which way would earth move initially?
Our planet's land-filled northern half is tilted toward the Sun at aphelion. Land has a lower heat capacity than water because it warms up more quickly for a given amount of sunshine.
As a result, the northern hemisphere of our planet is more effectively warmed by sunlight. Normally, the June Solstice is followed by the aphelion by around two weeks of heat capacity. As was already mentioned, celestial bodies do not move in perfectly circular orbits. aphelion describes them. The heavenly bodies must therefore pass through a location of our planet, where they are both farthest from and closest to the sunshine.
The amount of heat capacity to produce a unit change in an object is known as the heat capacity or thermal capacity of a sunshine.
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an object has a weight on the surface of the earth of 370 N. What is the mass
Explanation:
The mass of the object is 370N / (9.81N/kg) = 37.7kg.
A 0.145 kg baseball is thrown with a velocity of 25.0 m/s. How much work was done on the baseball to bring it from rest to 25.0 m/s? [Neglect air resistance]
Answer:
45.31 J
Explanation:
We are given that
Mass of baseball , m=0.145 kg
Initial velocity, u=0
Final velocity, v=25 m/s
We have to find the work done on the baseball to bring it from rest to 25 m/s
We know that
Work done = Change in kinetic energy
Work done, W=\(\frac{1}{2}m(v^2-u^2)\)
Using the formula
Work done, W\(=\frac{1}{2}(0.145)((25)^2-0)\)
Work done=\(\frac{1}{2}(0.145)(625)\)
Work done, W=45.31 J
Hence, the work done on the baseball to bring it from rest to 25 m/s
=45.31 J
What do the arrows in this photograph represent?
A. Gravity and air resistance
B. An action-reaction force pair
C. A pair of unbalanced forces at work
D. Friction and air resistance
Answer: B An action-reaction force pair
Explanation: Took the exam
The arrows in this photograph represent: An action-reaction force pair. Hence, option (B) is correct.
What is action-reaction force pair?When two bodies interact, they exert an equal and opposite force on one another in accordance with Newton's third law of motion. Action-reaction forces are made up of these forces.
"When one body exerts a force on the other body, the first body experiences a force that is equal in magnitude in the opposite direction of the force which is exerted," according to Newton's third law of motion.
According to the above assertion, there are always two forces operating on the objects involved in an interaction. The forces are of identical magnitude, but the direction of the force acting on the first object is different from the direction acting on the second.
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if our sun were twenty-four times as massive as it is, how many times faster or slower should the earth move in order to remain in the same orbit?
if our sun were twenty-four times as massive as it is, 4.4721Vο times faster or slower should the earth move in order to remain in the same orbit.
Given m= 20 m
Vо = √GM/R
=√20Vo
=4.47214 Vo
Depending on how far away from the Sun a planet is, its orbital speed varies. A planet's gravitational attraction is stronger and it moves more quickly the closer it is to the Sun. If the Sun's mass doubled without pushing or pulling on the Earth, the Earth's orbit would change to an ellipse, bringing it out to our current radius but spending most of the time closer to the Sun. The farther it is from the Sun, the weaker the Sun's gravitational pull is, and the slower it moves in its orbit. When our orbit brings us closer to the sun, the tides would likely get considerably greater. The sun's gravity controls the orbital distance and speed.
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A rock on the ground weighs 40N. How much force does the ground exert on the rock?
A. 20n
B. 0N
C.40n
Answer:
The correct option is;
C. 40 N
Explanation:
Given that the rock is on the ground, we have;
The weight of the rock, \(F_W\) = 40 N ↓
From Newton's third law of motion, we have that action and reaction are equal and opposite,
Therefore, given that the weight of the rock exerts a force of 40 N on the ground, and the rock is stable and stationery on the ground, then the ground is reacting to the weight of the rock with an equal force of 40 N, acting in opposite direction to the weight of the block to balance the weight of the rock and create equilibrium such that the net force acting on the rock is zero
∑F = \(F_W + F_R\) = 0
Where;
\(F_R\) = The reaction of the ground
We have;
\(F_W\) + \(F_R\)= 40 + \(F_R\) = 0
\(F_R\) = 0 - 40 = -40
\(F_R\) = -40 N ↓
∴ \(F_R\) = 40 N ↑.
Answer:
C, 40N
Explanation:
4. A 5.00-kg sled starts at rest and accelerates down a 45.0° incline. The coefficient of
kinetic friction between the mass and the incline is .185.
a) What is the value of the of the acceleration of the sled
Answer: \(5.64\ m/s^2\)
Explanation:
Given
mass of sled m=5 kg
Elevation \(\theta =45^{\circ}\)
\(\mu _k=0.185\) (coefficient of kinetic friction)
Friction will oppose the motion of the sled while sled weight sin component helps it to move down the incline
\(W\sin\theta-F_r=ma\\where\\W=weight(mg)\\F_r=Friction(\mu_kmg\cos\theta)\\a=acceleration\)
Substituting values
\(mg\sin \theta-\mu_kmgcos\theta=ma\\g\sin \theta-\mu_kg\cos \theta=a\\a=g(\sin 45^{\circ}-0.185\times \cos 45^{\circ})\\a=5.64\ m/s^2\)
put the types of electromagnetic radiation in order of decreasing frequency. view available hint(s)for part a put the types of electromagnetic radiation in order of decreasing frequency. microwave > radio > infrared > ultraviolet radio > microwave > infrared > ultraviolet ultraviolet > infrared > radio > microwave ultraviolet > infrared > microwave > radio
The types of electromagnetic radiation in order of decreasing frequency will be D. ultraviolet > infrared > microwave > radio.
What is electromagnetic radiation?
This is the radiation that travels in waves and possesses both an electric and magnetic field. Both natural and artificial sources contribute to it. The energy levels of electromagnetic radiation can range from low to high. It consists of x-rays, gamma rays, infrared light, visible light, ultraviolet light, radio waves, and microwaves.
When a charged particle, like an electron, changes its velocity—that is, when it is accelerated or decelerated—electromagnetic radiation is created. As a result, the charged particle loses the energy of the electromagnetic radiation that is thus created.
It should be noted that radio has highest wavelength and ultraviolet has lowest wavelength.
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lowering the third scale degree of a major scale changes its
Lowering the third scale degree of a major scale changes its quality from major to minor.
The third scale degree of a major scale refers to the note that is a major third above the tonic (first note) of the scale. In other words, if you start on the first note of a major scale and count up three scale degrees, you will reach the third scale degree.
For example, let's consider the C major scale:
C - D - E - F - G - A - B - C
In this scale, the third scale degree is E because it is a major third above the tonic note, C.
In other major scales, the third scale degree will be a major third above the tonic note of that particular scale.
If we lower the E by one half step, it becomes E♭, changing the scale to C natural minor: C, D, E♭, F, G, A♭, B♭, C. In this case, the third scale degree (E♭) is now a minor third above the tonic (C), altering the overall quality of the scale to minor.
Lowering the third scale degree is a common alteration that can create a different mood or tonality in music, often associated with the minor key.
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When a tennis player practices by
hitting a ball against a wall, which of Newton's
laws of motion is the player making use of?
Answer:
2nd bscause there is a reaction
The peak of the Earth's emission is ______, while the sun's peak is 0.5 micron: A.0.1 microns. B.1 microns. C.10 microns. D.100 microns.
The peak of the Earth's emission is 10 microns, while the sun's peak is 0.5 micron. Therefore, the correct answer is C. 10 microns.
About MicronsMicron is a unit of measure equivalent to one millionth of a meter or one thousandth of a millimeter. Microns are usually used to measure very small things, such as dust, bacteria, or airborne particles. One micron is equal to 0.001 millimeter or 0.000001 meter.
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solar wind
?
a stream of plasma
coronal mass
ejections
2
includes prominences and
solar flares
gamma ray
photon
?
energy released during
nuclear fusion
Answer:
1. Solar wind: a stream of plasma.
2. Coronal mass ejection: includes prominences and solar flares.
3. Gamma ray photon: energy released during nuclear fusion.
Explanation:
1. Solar wind: a stream of plasma i.e charged particles such as ions, protons, alpha, and electrons that continuously escape at high speed from the Sun because of the very hot plasma contained in the solar corona.
2. Coronal mass ejection: includes prominences and solar flares that flow outward into interplanetary space. Thus, it's a release of solar wind plasma and magnetic field from the outer atmosphere or corona of the sun.
Additionally, a solar prominence is also known as filament and it can be defined as a large, bright, dense cloud of luminous ionized gas such as hydrogen, sodium calcium, etc., that erupts (extends) from the surface of the sun. It can linger in the corona for a very long time, reaching hundreds of thousands of kilometers into the sun's atmosphere (space).
3. Gamma ray photon: energy released during nuclear fusion of radioactive isotopes such as cobalt-60 or cesium-137. It has the shortest wavelength and highest energy in the electromagnetic radiation spectrum.
An electromagnetic spectrum refers to a range of frequency and wavelength that an electromagnetic wave is distributed or extends. The electromagnetic spectrum comprises of gamma rays, visible light, ultraviolet radiation, x-rays, radio waves, and infrared radiation.
A 1,450 kg car drives toward a 60 kg shopping cart that has a velocity of -1.2 m/s toward the car. The two objects collide, giving the car a final velocity of 5.13 m/s, and the shopping cart a velocity of 11.75 m/s. What was the initial velocity of the car?
A. 5.67 m/s
B. 5.36 m/s
C. -5.36 m/s
D. -5.67 m/s
Answer:
A) v₁ = 5.66 [m/s]
Explanation:
To solve this problem we must use the definition of linear momentum conservation, which tells us that momentum is conservation before and after a collision.
The linear momentum is equal to the mass by the product of the Velocity.
P = m*v
where:
P = lineal momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
Now, to the right side of the equal sign will take the linear momentum before the collision and to the left side of the equal sign as after the collision.
Pbefore = Pafter
(m₁*v₁) - (m₂*v₂) = (m₁*v₃) + (m₂*v₄)
where:
m₁ = mass of the car = 1450 [kg]
v₁ = velocity of the car before the collision [m/s]
m₂ = mass of the shopping cart = 60 [kg]
v₂ = velocity of the shopping cart before the collision = -1.2 [m/s]
v₃ = velocity of the car after the collision = 5.13 [m/s]
v₄ = velocity of the shopping cart after the collision = 11.75 [m/s]
Now replacing:
(1450*v₁) - (60*1.2) = (1450*5.13) + (60*11.75)
1450*v₁ - 72 = 7438.5 + 705
1450*v₁ = 7438.5 + 705 + 72
1450*v₁ = 8215.5
v₁ = 5.66 [m/s]
Answer:
5.67 m/s
Just did it.
A plane at a speed of 255 m/s with a mass of 2.15 × 10³ kg.
According to the question the force acting on the plane id 547,750 N.
What is force?Force is a fundamental concept in physics that describes the interaction between two objects. It is defined as an influence that changes the motion of an object, either by accelerating, decelerating, or changing the direction of a body. Forces can be either contact forces, such as friction or air resistance, or non-contact forces, such as gravity or magnetism. Forces can also be internal, such as chemical bonds, or external, such as the force of an object pushing against another. The SI unit for force is the newton (N). Forces can be used to cause motion or to prevent motion. In addition, forces can be used to change the shape or orientation of an object. Force is a vector quantity, meaning that it has both magnitude and direction.
The force acting on the plane can be calculated using Newton's second law:
Force = Mass x Acceleration
Force = 2.15 × 10³ kg x (255 m/s / s)
Force = 547,750 N
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The batteries in a flashlight have a total voltage of 3 V. The current measured between the positive and negative sides of the battery is 1.1 A. What is the resistance in the circuit in the flashlight?
The resistance in the circuit of the flashlight is approximately 2.727 ohms.
Resistance is an electrical property of a material or component that opposes the flow of electrical current through it. It is measured in units of ohms (symbolized as Ω) and represents the ratio of voltage (V) to current (I) in a circuit.
To find the resistance (R) in the circuit, we can use Ohm's Law, which states that the voltage (V) across a circuit is equal to the current (I) multiplied by the resistance (R);
V = I x R
R = V / I
In this case, the voltage (V) is 3 V, and the current (I) is 1.1 A. Substituting these values into the equation above, we get;
R = 3 V / 1.1 A
R = 2.727 ohms
Therefore, the resistance is 2.727 ohms.
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A boat travels at 15 m/s in a direction 45° east of north for an hour. The boat then turns and travels at 18 m/s in a direction 5° north of east for an hour.
What is the magnitude of the boat’s resultant velocity? Round your answer to the nearest whole number.
Answer:
16 m/s
Explanation:
First, find the displacement in the east direction.
x = (15 m/s sin 45°) (3600 s) + (18 m/s cos 5°) (3600 s)
x = 102,737 m
Next, find the displacement in the north direction.
y = (15 m/s cos 45°) (3600 s) + (18 m/s sin 5°) (3600 s)
y = 43,831 m
Find the magnitude of the displacement.
d = √(x² + y²)
d = √((102,737 m)² + (43,831 m)²)
d = 111,697 m
Finally, find the resultant velocity.
v = d / t
v = (111,697 m) / (7200 s)
v = 15.5 m/s
Rounded to the nearest whole number, the resultant velocity is 16 m/s.
A 3.0-kg meatball is moving with a speed of 6.0 m/s directly toward a 2.0 kg meatball which is at rest. The two meatballs collide and stick together. What is their velocity immediately after the (inelastic) collision?
18 m/s
3.6 m/s
6 m/s
5 m/s
Answer:
Their common velocity after collision is 3.6 m/s
Explanation:
Given;
mass of the first meatball, m₁ = 3.0 kg
initial velocity of the first meatball, u₁ = 6.0 m/s
mass of the second meatball, m₂ = 2.0 kg
initial velocity of the first meatball, u₂ = 0 m/s
let their common velocity after collision = v
Apply the principle of conservation of linear momentum for inelastic collision ;
m₁u₁ + m₂u₂ = v(m₁ + m₂)
(3 x 6) + (2 x 0) = v( 3 + 2)
18 = 5v
v = 18 / 5
v = 3.6 m/s
Therefore, their common velocity after collision is 3.6 m/s
Write and explain the formula used for angular velocity.
Answer:
The formula for angular velocity is equal to angular rotation over time.
Let's refer to normal velocity and understand what that does.
Normal velocity is the change in position over time, which we would refer to it as the "speed". Measuring the speed shows how fast an object goes from point A to point B.
Angular velocity is the same case, where it's a measure of rotational speed. It's the overall rate of change of an angle, and a measure of how fast an object rotates around a center point.
a car is traveling at 30 metres per second it accelerates steadily for 5 seconds after which it is travelling at 50 metres per second calculate its acceleration
Answer:
its alot
Explanation:
What is the purpose of the lens?
Answer:
It will focus light at a specific location.
Explanation:
suppose that two waves passing through the same medium have different wavelengths. if this is true, what property must be different?
If two waves passing through the same medium have different wavelengths, the property that must be different is the frequency of the waves.
Wavelength refers to the distance between two consecutive points in a wave that are in phase, such as two crests or two troughs. It is commonly denoted by the Greek letter lambda (λ) and is measured in units of length, such as meters (m), centimeters (cm), or nanometers (nm).
Wavelength and frequency are inversely proportional to each other. According to the wave equation, the speed of a wave is equal to the product of its wavelength and frequency: speed = wavelength × frequency.
Since the medium remains the same, the speed of the waves is constant. Therefore, if the wavelengths are different, the frequencies of the waves must also be different in order to maintain a constant speed.
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