Answer: (a) Maximum tangential speed the ball can have is 7.58 m/s.
(b) Time taken by the grinding wheel to stop is 9.43 s.
a) Mass of the ball, m = 3.50 kg
Radius of circle, r = 0.870 m
Angular speed, ω = 0.430 rev/s
Tangential speed of the ball is given by, v = rω
= 0.870 m × (0.430 rev/s) × 2π rad/rev
= 1.45 m/s.
Tangential speed of the ball is 1.45 m/s.
Centripetal acceleration is given by, a = rω²
= 0.870 m × (0.430 rev/s)² × 2π rad/rev
= 2.95 m/s² Centripetal acceleration is 2.95 m/s².
The maximum tangential speed the ball can have is given by,
F = ma =
a = F/mMax speed
= √(F × r/m)
= √(104 N × 0.870 m/3.50 kg)
= 7.58 m/s.
Maximum tangential speed the ball can have is 7.58 m/s.
b) Initial angular velocity, ω1 = 1.19 × 10² rev/min = 19.8 rev/s.
Final angular velocity, ω2 = 0
Angular acceleration, α = -2.10 rad/s²
Using angular kinematic equation,ω2 = ω1 + αt t = (ω2 - ω1) / α
= 19.8 rev/s / 2.10 rad/s²
= 9.43 s. Time taken by the grinding wheel to stop is 9.43 s.
Using rotational kinematic equation,θ = ω1t + (1/2) αt²θ = (19.8 rev/s) × 9.43 s + (1/2) × (-2.10 rad/s²) × (9.43 s)²θ
= 1487 rad. Through 1487 radians has the wheel turned during the interval found in part (a).
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In the photoelectric effect, the maximum kinetic energy of the electrons ejected from the metal increases when the ________ of the incident light increases.
In the photoelectric effect, the maximum kinetic energy of the electrons ejected from the metal increases when the frequency of the incident light increases.
The photoelectric effect is a phenomenon where electrons are emitted from a metal surface when it is exposed to electromagnetic radiation, specifically light with sufficient energy. This process can be explained by the quantum theory of light, which states that light consists of packets of energy called photons. The energy of a photon is directly proportional to its frequency, as described by the equation E = hν, where E is the energy, h is Planck's constant, and ν is the frequency of the light.
When the frequency of the incident light is increased, the energy of the photons also increases. If the energy of the incoming photons is greater than the metal's work function (the minimum energy required to eject an electron), the electrons absorb the energy and are ejected from the metal surface. The remaining energy is converted into kinetic energy for the ejected electrons, leading to an increase in their maximum kinetic energy.
In summary, the maximum kinetic energy of electrons in the photoelectric effect is dependent on the frequency of the incident light. When the frequency of the light increases, the energy of the photons increases, and if it surpasses the metal's work function, the electrons are emitted with a higher kinetic energy.
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If a car is traveling 27 meters in 3 seconds, what is its speed?
Answer:
9 m/s
Explanation:
speed = distance ÷ time
27÷3
=9
How do energy transformations occur in a hydroelectric plant?
The potential energy of water is converted to mechanical energy by a turbine.
The kinetic energy of water is converted by a dam into potential energy.
The kinetic energy of water is converted by a generator into electric energy.
The potential energy of water is converted by a transformer into electric energy.
Answer:
The answer is #3: The kinetic energy of water is converted by a generator into electric energy.
Explanation:
Hydropower plants capture the energy of falling water to generate electricity. A turbine converts the kinetic energy of falling water into mechanical energy. Then a generator converts the mechanical energy from the turbine into electrical energy.
A climber throws a rope with a velocity of 3.0 m/s downward to another climber 4.0 m directly below. Conclude the rope’s velocity when it reached the lower climber? Assume no air resistance and that a = -g = -9.81 m/s2.
The rope’s velocity when it reached the lower climber is 9.35 m/s.
What is gravity?The force of attraction felt by a person at the center of a planet or Earth is called as the gravity.
Given is a climber throws a rope with a velocity of 3.0 m/s downward to another climber 4.0 m directly below
The upward acceleration is equal to the acceleration due to gravity a = -g = -9.81 m/s
Using the third equation of motion ,we have
Vf² -Vi² =2as
Put the values, we get
Vf² = 3² + 2(-4.0)(-9.81)
Vf = 9.35 m/s
Thus, rope’s velocity when it reached the lower climber is 9.35 m/s.
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A student is holding a globe to represent the Earth another student shining a flashlight at the globe. The flashlight represents the Sun. How could the student use this model to show the cycle of day and night on Earth?
To show the cycle of day and night on Earth using this model, the student holding the globe (representing the Earth) can rotate the globe on its axis while the other student shines the flashlight (representing the Sun) at the globe.
What is a day-night cycle?The day-night cycle, also known as the diurnal cycle, is the regular pattern of changes in light and darkness that occur over a 24-hour period on Earth.
To show the cycle of day and night on Earth using this model, the student holding the globe (representing the Earth) can rotate the globe on its axis while the other student shines the flashlight (representing the Sun) at the globe. As the globe rotates, different parts of the surface will be illuminated by the light, while other parts will be in shadow.
To simulate daytime, the student shining the flashlight can direct the light toward the part of the globe facing the light source, while the student holding the globe rotates it so that the illuminated part faces the light. To simulate nighttime, the student can direct the light away from the part of the globe facing the light source, while the student holding the globe rotates it so that the unilluminated part faces the light.
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A man stands on a stationary boat. He then jumps out of the boat onto the jetty.The boat moves away from the jetty as he jumps.
State the physics principle that is involved in the movement of the boat as the man jumps onto the jetty
The principle involved is the conservation of momentum, where the boat moves in the opposite direction to maintain total momentum zero.
The physics principle involved in the movement of the boat as the man jumps onto the jetty is the principle of conservation of momentum. According to this principle, the total momentum of an isolated system remains constant if no external forces act on it.
In this scenario, the boat and the man can be considered as an isolated system since there are no external forces acting on them. Initially, when the man is standing on the boat, the system is at rest, and the total momentum is zero.
When the man jumps off the boat and onto the jetty, he exerts a force on the boat in one direction. According to Newton's third law of motion, for every action, there is an equal and opposite reaction. As the man pushes off the boat, the boat experiences an equal and opposite force that propels it in the opposite direction.
Due to the conservation of momentum, the momentum gained by the boat in one direction is equal to the momentum lost by the man in the opposite direction. As a result, the boat moves away from the jetty, exhibiting a backward motion.
This principle can be mathematically expressed as:
Initial momentum of the system = Final momentum of the system
Since the initial momentum is zero, the final momentum of the system (including the man and the boat) must also be zero. The momentum gained by the boat ensures that the total momentum of the system remains conserved.
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After a recent snow storm, you decide to sled down a hill in Fairmount Park. You take a running start and hit the slope with an initial velocity of 4.9 m/s. You then begin to accelerate at 4.2 m/s^2 for 4.7 seconds. How many meters will you travel in that time?
Here's what you need to know below:
Answer:
69.42 m
Explanation:
From the question given above, the following data were obtained:
Initial velocity (vᵢ ) = 4.9 m/s
Acceleration (a) = 4.2 m/s²
Time (t) = 4.7 s
Displacement (Δx) =?
Thus, we can obtain the displacement by using the following formula:
Δx = vᵢt + ½at²
Δx = (4.9 × 4.7) + (½ × 4.2 × 4.7²)
Δx = 23.03 + (2.1 × 22.09)
Δx = 23.03 + 46.389
Δx = 69.419 ≈ 69.42 m
Thus, the distance travelled is 69.42 m
A lime falling off a fruit display has a kinetic energy to 3.35 x 10-² J. If the lime travels with a velocity of 0.780 m/s, it’s mass is _____ g.
When light is either reflected or refracted, the quantity that does not change in either process is its a. direction of travel. b. dispersion. c. frequency d. speed. e. wavelength
When light is either reflected or refracted, the quantity that does not change in either process is its speed. Therefore, option (d) is the correct answer, speed.
The change in direction of light wave when it hits a surface and bounces back is known as reflection. The reflected light ray moves off at the same angle to the surface (angle of incidence) as it strikes the surface. The angle of incidence is the angle at which the incoming ray strikes the surface, and the angle of reflection is the angle at which the light reflects off the surface.
The process by which light bends as it passes from one medium to another with different densities is known as refraction. It is due to a change in speed, which causes light to change direction. When light passes from a medium with a higher index of refraction to one with a lower index of refraction, it bends away from the normal.
Conversely, if light passes from a medium with a lower index of refraction to one with a higher index of refraction, it bends toward the normal.
The quantity that does not change in either process is speed. Regardless of the angle at which it is reflected or the substance through which it passes when it is refracted, light always travels at the same speed.
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4 Generators are used to convert chemical energy into electrical energy. One company
that designs generators claims that their newest design can convert 1,000 joules of
chemical energy into 1,200 joules of electrical energy. What conclusion can you draw
about this company's design?
A No conclusion can be drawn without more information.
B It has a very good and realistic efficiency.
C It is impossible to convert chemical energy into electrical energy.
D It is impossible to create more energy than was input.
Answer:
fg
Explanation:
bbjtvnjj
Speed and velocity use the same formula for calculations. However, an object can have a different average speed and average velocity because of
displacement
True
False
Answer:
true..........................
Speed and velocity use the same formula for calculations. However, an object can have a different average speed and average velocity because of displacement. This is true statement.
What are velocity and speed?As a vector quantity with both magnitude and direction, velocity has both. This term refers to the speed at which an object is moving or shifting positions.
Since speed is a scalar quantity, it lacks direction. It indicates the rate of a moving thing. When a particle's speed is high, it indicates that it is travelling quickly, and when it is low, it indicates that it is going slowly.
The displacement of a body during a period of time divided by the passage of time yields the average velocity of the body during that period.
The distance travelled by a body in a given amount of time, divided by the amount of time, is the body's average speed.
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There are 2 cars that are getting ready to race. After sitting at a stoplight for 30 seconds, the light turns green and they begin to accelerate at a rate of 4m/s2. The cars were neck and neck the whole way after traveling 150 meters. How long did it take them to travel that 150 meters?
Answer:
75secondsExplanation:
Given that the acceleration of the car is
a=4m/s^2
and also the distance covered is
d=150m
from the problem "The cars were neck and neck the whole way after traveling 150 meters"
this means velocity was constant throughout
s=ut+1/2at
150=0*t+4t/2
150=2t
divide both sides by 2
t=150/2
t=75seconds
use the mesh-current method to find the magnitude of the power delivered by the 6 a current source. g
To find the magnitude of the power delivered by the 6 A current source using the mesh-current method,
Step 1: Identify the mesh loops
Locate the mesh loops in the given circuit. A mesh loop is a closed conducting path in the circuit that does not contain any other closed paths.
Step 2: Assign mesh currents
Assign a current variable (such as I1, I2, etc.) to each mesh loop in the clockwise direction.
Step 3: Write mesh equations
Apply Kirchhoff's Voltage Law (KVL) to each mesh loop, summing the voltage drops across each element in the loop and equating the sum to zero.
Step 4: Solve for mesh currents
Solve the system of equations obtained in Step 3 to find the mesh currents' values.
Step 5: Determine the current through the 6 A source
Identify which mesh current(s) flow through the 6 A current source. Add or subtract the mesh currents as appropriate to find the total current through the 6 A source.
Step 6: Calculate the power delivered
Use the formula P = I² * R,
where P is the power, I is the current through the 6 A source, and R is the resistance of the current source.
Since current sources don't have a specified resistance,
the power delivered by the current source is P = VI,
where V is the voltage across the current source and I is the current through it.
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Sudden hard steering will cause the center of mass to transfer to the front right or left tire. In vehicles with a high center of gravity, this can cause a ________.
Sudden hard steering will cause the center of mass to transfer to the front right or left tire. In vehicles with a high center of gravity, this can cause a rollover. Therefore, it is important to be aware of your vehicle's handling capabilities while driving on the road.
Sudden hard steering refers to a sudden and intense change in the direction of a vehicle's wheels. As a result of the steering system's rapid movement, the center of mass transfers to the front right or left tire. In vehicles with a high center of gravity, this can cause a rollover, leading to accidents on the road. This is because the vehicle's weight shifts quickly to one side, causing it to lose stability. Steering is an essential aspect of driving a vehicle, and understanding how it functions is important. In general, steering systems in vehicles function by transmitting the rotational motion of the steering wheel to the wheels of the vehicle. This is achieved by using various mechanical and hydraulic systems to produce the desired movement.
The center of mass is an important concept in physics, referring to the point in an object where its weight is evenly distributed. In vehicles, the center of mass plays a critical role in determining how the vehicle behaves on the road. Vehicles with a high center of gravity, such as SUVs and vans, are more likely to roll over in situations where sudden hard steering occurs. In conclusion, sudden hard steering can cause a transfer of the center of mass to the front right or left tire, resulting in a rollover. Understanding how steering and the center of mass interact is important to prevent accidents on the road.
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I NEED HELP PLEASE, THANKS! :)
What is electrical power in terms of current and potential difference? Explain.
Answer:
Read the explanations ●
Explanation:
Electric power is the rate which energy is transformed to or from a part of an electrical circuit. A battery can deliver energy or a circuit element , the power is equal to the voltage difference across the element multiplied but the current...
Answer:
See explanation below -
Explanation:
Electrical power is, by definition, the rate at which electrical energy is absorbed in a circuit. However, we are asked the electrical power with respect to current.
This is a perfect example of Ohm's law, or the formula of power. It defines the relationship between power, voltage and current, as such -
P = VI
As you can see, electrical power is directly proportional to the current.
Now the potential difference is also recognized as the voltage, and is similarly directly proportional to the electrical power.
Hope that helps!
Can the magnitude of a vector ever (a) be equal to one of its components, or (b) be less than one of its components? 9. Can a particle with constant speed be accelerating? What if it has constant velocity?
Answer:
a) the other components are zero, in the direction of one of the coordinate axes
b) the magnitude is less than the value of one of its components, it must occur when the vector is in some arbitrary direction
9) constant velocity the acceleration must necessarily be zero,
constant speed can be accelerated since it may be changing the direction of the velocity vector
Explanation:
Vectors are quantities that have modulo (scalar) direction and sense.
a) If in a vector its magnitude is equal to one d its components implies that the other components are zero, therefore the vector must be in the direction of one of the coordinate axes
b) if the magnitude is less than the value of one of its components, it must occur when the vector is in some arbitrary direction, other than the direction of the axes, that is
R² = x² + y²
where R is the magnitude of the vector e x, and are the components
9) When a particle has a constant velocity, the acceleration must necessarily be zero,
v = vo + a t
The bold letters indicate vectors If a = 0 implies that v = vo
If a particle has constant speed it can be accelerated since it may be changing the direction of the velocity vector, this type of acceleration has the name of centripetal acceleration
When momentum is conserved it is called _____. (multiple choice)
A.) Conservation of Momentum
B.) The Law of Momentum
C.) The Physics of Momentum
D.) The Rules of Momentum
Answer:
Based off the word "conserved" I would say
A. Conservation of Momentum.
Explanation:
Answer:
A.) Conservation of Momentum
As the wind blows across a field of grain, the top of the plants move back and forth when a wave travels across the field. This wave is
a) Transverse wave. c) Longitudinal wave.
b) Polarized wave. d) Electromagnetic wave.
The wave described in the question is a longitudinal wave. Option C
Longitudinal waves are waves in which the particles of the medium vibrate back and forth in the same direction as the wave travels. This is in contrast to transverse waves, in which the particles of the medium vibrate perpendicular to the direction of the wave.
In the example given, the wind creates a disturbance in the field of grain, causing the plants to move back and forth. This movement creates a wave that travels across the field. The particles of the plants are moving in the same direction as the wave, making it a longitudinal wave.
Polarized waves are waves in which the oscillations occur in a single plane, while electromagnetic waves are waves that consist of oscillating electric and magnetic fields. Neither of these types of waves are applicable to the scenario described in the question.
In summary, the wave described in the question is a longitudinal wave, as the particles of the medium (the plants) vibrate back and forth in the same direction as the wave travels.So, option C is correct.
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four resistance of resistance 1 resistance, 2 resistance,3 resistance are connected in series and afterwards in parallel. Calculate the combined resistance in each case.
In series: The combined resistance is equal to the sum of the individual resistances (R_total = R1 + R2 + R3).
In parallel: The combined resistance is the reciprocal of the sum of the reciprocals of the individual resistances (1/R_total = 1/R1 + 1/R2 + 1/R3).
When resistors are connected in series, their resistances add up to give the total resistance. In this case, the combined resistance in series would be the sum of the individual resistances: R_total = R1 + R2 + R3.
On the other hand, when resistors are connected in parallel, their reciprocals sum up to give the inverse of the total resistance. In this case, the formula for calculating the combined resistance in parallel is: 1/R_total = 1/R1 + 1/R2 + 1/R3.
Let's assume the resistance values are R1 = 1 ohm, R2 = 2 ohms, and R3 = 3 ohms.
For the series connection: R_total = R1 + R2 + R3 = 1 + 2 + 3 = 6 ohms.
For the parallel connection: 1/R_total = 1/R1 + 1/R2 + 1/R3 = 1/1 + 1/2 + 1/3 = (6 + 3 + 2) / 6 = 11 / 6. Taking the reciprocal of both sides, we get R_total = 6 / 11 ohms.
Therefore, the combined resistance in the series connection is 6 ohms, while in the parallel connection, it is 6/11 ohms.
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whats an example of newtons 3rd law?
Answer:
Newton's Third Law states that "For every action, there is an equal and opposite reaction." An example of this law is the following scenario:
Imagine you are pushing a heavy box across the floor. According to Newton's Third Law, the box will exert an equal and opposite force back on you, making it harder to push. The more force you apply to the box, the greater the force it will exert back on you. This reaction force is what makes it difficult to push the box. The same idea applies when jumping off a diving board or jumping on a trampoline - the force you apply to the board or trampoline is equal and opposite to the force it applies back on you.
Punnett squares are used by geneticists to determine the probability of
different offspring genotypes.
Answer:
are used by geneticists to determine the probability of different offspring genotypes.
Vector v = ai + bj can be written terms of the magnitude of v and the angle theta
Do example:
Wind is blowing at 20 miles per hour in the direction N30W (30 degrees left of y axis). Express its velocity as a vector v in terms of i and j
If wind is blowing at 20 miles per hour in the direction N30W (30 degrees left of y axis), the express for velocity as a vector v in terms of i and j is v = v = -10 i + 10√3 j
In this figure it seen that,
v(x) = v sin30 = v/2
v(y) = v cos30 =√3/2 v
where v is velocity of the wind which is 20 miles per hr.
v(x) = 20× sin30 = 20/2 = 10
v(y) = 20× cos30 =√3/2×20 = 10√3
in the vector form it ca be written as,
v = -10 i + 10√3 j
there is negative sign cause it is on negative x axis.
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Is the number on a speedometer a scalar or a vector? PLS HELP !!
I need help on this ASAP!!! Please show work. WORTH 25 Points!!!!! Please, someone!!!!
Graph A shows amplitude 4 cm and frequency 50 Hz. Hence A is the answer. amplitude is nothing but the maximum displacement of the wave from the mean position. and frequency is the number of oscillation in unit time.
In graph A, time require to complete one cycle is 0.02s means period of the time T = 0.02
Frequency F = 1/T = 1/0.02s = 50Hz
and amplitude A = 4 cm
Hence A is the answer.
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What phenomenon in hearing is analogous to spatial frequency channels in vision?
A. critical bands
B. tonal suppression
C. auditory adaptation
D. the volley principle
The phenomenon in hearing that is analogous to spatial frequency channels in vision is critical bands. Hence, the correct option is A: Critical bands.
Critical bands are regions of the audible frequency range in which a complex sound is divided into individual, discrete frequency bands by the human auditory system.
For instance, when different frequencies in a complex sound, such as a musical instrument or a human voice, are picked up by the ear, they are sent to the brain via various channels that respond to specific frequencies.
These channels are referred to as critical bands. The frequency range of these bands varies depending on the loudness of the sound.
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1. Work = ………………x……………………….
2. ……………….energy is obtained from loudspeakers, while ………….is obtained from solar cells.
3. The energy produced from burning of wood is …………energy, while energy stored in a stretched spring is
……………… energy.
4. The factors that affect potential energy are …………….. and …………….
5. Mass is determined by…………unit, while the weight is determined by …………..unit.
Answer:
1.
2sound,solar energy
3.heat energy
lead screens for the protection of personnel in x-ray diffraction laboratories are usually at least 1 mm thick. calculate the transmission factor ( Itrans/Iincident) of such a screen for Cu Ka, Mo Ka and the shortest wavelength radiation from a tube operated at 30,000 volts.
A versatile non-destructive analytical technique called X-ray diffraction (XRD) is used to examine the physical characteristics of powder, solid, and liquid materials, including their phase composition, crystal structure, and orientation.
What makes it known as "X-ray diffraction"?
A crystal's atomic planes cause an incident X-ray beam to interfere with itself as it leaves the crystal. X-ray diffraction is the term for the phenomena.
In contrast to transmission, which enables energy forms to move via a medium, emission is the act of radiating. By remembering their respective complementary pairs, you can tell them apart. The parameters that affect dosage rate with transmission through a variety of tissue thicknesses are known as transmission factors. The depth-dose curve can be used to show the transmission factors.
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A) The drawing shows four different situations in which a light ray is traveling from one medium into another. Without doing any calculations, but taking note of the relative sizes of the angles of incidence and refraction, decide which situation shows a refraction that is physically possible. B) A ray of light originates in medium A and is incident upon medium B. For which one of the following pairs of indices of refraction for A and B is total internal reflection NOT Possible? (Hint: you may be tempted to do calculations. However, calculation is Not needed to answer this question. ) 1) nA = 1. 12, nB = 1. 06 2) nA = 1. 28, nB = 1. 36 3) nA = 1. 36, nB = 1. 00 4) nA = 2. 54, nB = 1. 63 5) nA = 1. 26, nB = 1. 15
Refraction occurs when a light ray passes from one medium to another with a different refractive index. Therefore, option 3 is the correct answer.
A) Refraction occurs when a light ray passes from one medium to another with a different refractive index. The angle of incidence is the angle between the incoming light ray and the normal, while the angle of refraction is the angle between the refracted light ray and the normal. According to the laws of refraction, the angle of incidence and the angle of refraction are related by the ratio of the refractive indices of the two media. In situations where the angle of incidence is greater than the critical angle, total internal reflection occurs instead of refraction.
Looking at the four situations depicted in the drawing, we can see that only situation 1 shows a possible refraction. This is because the angle of incidence is smaller than the angle of refraction, which indicates that the refracted ray bends away from the normal, as expected based on the relative refractive indices of the two media. In situations 2, 3, and 4, the angle of incidence is larger than the angle of refraction, which violates the laws of refraction and is therefore not physically possible.
B) Total internal reflection occurs when a light ray travels from a medium with a higher refractive index to a medium with a lower refractive index, and the angle of incidence is greater than the critical angle. The critical angle is the angle of incidence at which the angle of refraction is 90 degrees. If the angle of incidence exceeds the critical angle, the light ray is reflected back into the original medium instead of refracting into the second medium.
Without doing any calculations, we can see that option 3 shows a pair of refractive indices where total internal reflection is not possible. This is because the refractive index of medium B is 1.00, which is the lowest possible value for a refractive index. If medium A has a higher refractive index than 1.36, then the critical angle will be smaller than 45 degrees, and total internal reflection will not occur. Therefore, option 3 is the correct answer.
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True or false. Charged objects attract neutral objects
Given
Charged objects attract neutral objects.
To find
True or false
Explanation
Neutral objects have both positive and negative charges.It attracts any charged particle
Conclusion
The given statement is True
What is the height at the peak of the projectiles trajectory if the magnitude vo equals 42.2 meters per second, and the angle ofΘis 41.8 degrees?
Take into account that the vertical final velocity of the projectile is given by:
\(v^2_y=v^2_{oy}-2gy\)Now, consider that at the peak of the trajectory, the vertical final velocity is zero. Moreover:
\(v^2_{oy}=v^2_o\sin ^2\theta\)Then, by solving for y into the equation for vy^2, you obtain:
\(\begin{gathered} o=v^2_o\sin ^2\theta-2gy \\ y=\frac{v^2_o\sin \theta}{2g} \end{gathered}\)where g = 9.8m/s^2 is the gravitational acceleration constant.
By using the given values for the angle and vo you obtain for the height of the peak y:
\(y=\frac{(42.2\frac{m}{s})(\sin 41.8)^2}{2(9.8\frac{m}{s^2})}\approx40.36m\)Hence, the height of the peak of the projectil trajectory is approximately 40.36 m