The average emf generated in the coil during the 180° flip is approximately 0.098 volts.
To calculate the average electromotive force (emf) generated in the coil during the 180° flip, we can use Faraday's law of electromagnetic induction.
Faraday's law states that the emf induced in a closed loop of wire is equal to the rate of change of magnetic flux through the loop. The magnetic flux (Φ) through the coil is given by the product of the magnetic field (B), the area (A) of the coil, and the cosine of the angle (θ) between the magnetic field and the normal to the coil:
Φ = B * A * cos(θ)
In this case, the magnetic field B is 50.0 µT (or 50.0 × 10^(-6) T), the area A is π * (d/2)^2, where d is the diameter of the coil, and θ is 180°.
Number of turns (N) = 25
Diameter of the coil (d) = 1.00 m
Magnetic field (B) = 50.0 µT = 50.0 × 10^(-6) T
Angle (θ) = 180°
Using these values, we can calculate the average emf generated in the coil using the equation:
emf = -N * dΦ/dt
where dΦ/dt is the rate of change of magnetic flux.
To find the rate of change of magnetic flux, we need to determine the change in magnetic flux (∆Φ) over the time interval (∆t). In this case, the change in magnetic flux is the negative of the initial magnetic flux, as the coil is flipped 180°.
∆Φ = -Φ_initial
Since the coil is flipped in 0.200 s, the time interval (∆t) is 0.200 s.
Finally, we can substitute these values into the equation to find the average emf:
emf = -N * (∆Φ/∆t)
emf = -N * (-Φ_initial / ∆t)
emf = N * Φ_initial / ∆t
emf = N * B * A * cos(θ) / ∆t
emf = N * B * π * (d/2)^2 * cos(θ) / ∆t
Now we can calculate the average emf using the given values.
emf = 25 * (50.0 × 10^(-6)) * π * (1.00/2)^2 * cos(180°) / 0.200
emf ≈ -0.098 V (negative sign indicates the change in flux direction)
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A block of mass 0.257 kg is placed on top of a light, vertical spring of force constant 4 925 N/m and pushed downward so that the spring is compressed by 0.099 m. After the block is released from rest, it travels upward and then leaves the spring. To what maximum height above the point of release does it rise?
The block will rise to a maximum height of 0.145 meters above the point of release.
To determine the maximum height, we can use the conservation of mechanical energy. Initially, the block has potential energy stored in the compressed spring, and when released, this potential energy is converted into the block's gravitational potential energy as it rises.
The potential energy stored in the compressed spring is given by the equation:
PE_spring = (1/2) k x^2
where k is the spring constant and x is the compression of the spring. Substituting the given values, we have:
PE_spring = (1/2) × 4925 N/m × (0.099 m)^2 = 24.37 J
The maximum height reached by the block is equal to the potential energy it gains. Considering the block's mass m and acceleration due to gravity g, we have:
PE_gravity = mgh
where h is the maximum height. Equating the potential energies, we have:
PE_spring = PE_gravity
24.37 J = 0.257 kg × 9.8 m/s^2 × h
h = 0.145 m
Therefore, the block rises to a maximum height of 0.145 meters above the point of release.
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use the ruler tool (the units are in mm) on the bottom right to measure the extension of the spring with the 100g mass. convert this mass in grams to kg and then convert to w weight
A ideal spring has an equilibrium length. If a spring is compressed, then a force with magnitude proportional to the decrease in length from the equilibrium length is pushing each end away from the other. If a spring is stretched, then a force with magnitude proportional to the increase in length from the equilibrium length is pulling each end towards the other.
Using Hooke's Law,
F = -kx.
The proportional constant k is called the spring constant. It is a measure of the spring's stiffness.
Given,
mass = 100 g = 0.1 kg
To find the weight,
We will multiply mass with gravitational acceleration
= 0.1 * 9.8
= 0.98
This is also the value of Force
Force = 0.98 N
With the help of the chart, the extension is found to be 170 mm.
Therefore, the extension of the spring with mass 100 g is 170 mm.
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According to the principle of continuity, the velocity of a fluid multiplied by the cross section through which it flows at one point will equal the product of
A) velocity and cross section at another point.
B) velocity and pressure at another point.
C) a constraint factor.
D) none of the above
According to the principle of continuity, the velocity of a fluid multiplied by the cross-section through which it flows at one point will equal the product of velocity and cross-section at another point.
The principle of continuity, also known as the continuity equation, is the fluid mechanic's principle. Simply put, what flows into a defined volume over a specified period of time minus what flows out of that volume over that specified period of time must accumulate in that volume. The substance in that volume is depleted if the accumulation's sign is negative.
This is so that our eyes, once they start to follow anything, will keep moving in that direction until they come across another thing or object. A line with an arrow at the end of it, for instance, is a great illustration of the continuity concept.
Note that three conditions must be met for a function to be continuous at a point: At that time, the limit must exist.
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What is the velocity (in m/s) of a 0.179kg billiard ball of its wavelength is 7.83cm
Answer: 472.556m⋅s−1
Explanation: λ=7.83cm=7.83⋅(1cm)=7.83⋅(1cm×0.01m1cm)=0.0783m
if the jet in ngc 5128 is traveling at 5000 km/s and is 40 kpc long, how long will it take for gas to travel from the core of the galaxy to the end of the jet?
It would take approximately 2.4688 × 10^17 seconds or 7.82 million years for gas to travel from the core of the galaxy to the end of the jet, assuming a constant speed of 5000 km/s.
To calculate the time it would take for gas to travel from the core of the galaxy to the end of the jet, we need to use the formula: time = distance / speed.
Given that the jet in NGC 5128 is traveling at 5000 km/s and is 40 kpc (kiloparsecs) long, we first need to convert the distance from kpc to km. 1 kpc = 3.086 × 10^16 meters, which means 1 kpc = 3.086 × 10^19 km.
Therefore, the length of the jet in kilometers is 40 x 3.086 × 10^19 km = 1.2344 × 10^21 km.
Now we can calculate the time it would take for gas to travel from the core of the galaxy to the end of the jet as follows:
time = distance / speed
time = 1.2344 × 10^21 km / 5000 km/s
time = 2.4688 × 10^17 seconds
So, it would take approximately 2.4688 × 10^17 seconds or 7.82 million years for gas to travel from the core of the galaxy to the end of the jet, assuming a constant speed of 5000 km/s.
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16 Two blocks are connected by massless string that passes over massless pulley, as shown.In the absence offriction how does the tension force exerted by the string O the 250 N block compare with the tension force exerted by the string on the 350 N block? 250 N 3S0 N The force 0n the 250 N block is smaller by factor of 0.71 The force on the 250 N block is Juger factor of 1 4 The force on the 250 N block is always equal t0 its Weight 8 The force on the 250 N blockis equal tothe Weight ofthe 350 Nblock: The two forces are equal
The correct answer is The two forces are equal.
This is because the tension force exerted by the string on the 250 N block is equal to the tension force exerted by the string on the 350 N block. This is due to Newton's Third Law of Motion, which states that for every action, there is an equal and opposite reaction. In this case, the action is the tension force exerted by the string on the 250 N block, and the reaction is the tension force exerted by the string on the 350 N block.
Therefore, the tension force on both blocks is equal, regardless of the difference in their weights. This is also true in the absence of friction, as there are no external forces acting on the system that would cause the tension forces to be different.
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A brick is resting on a rough incline. The friction force acting on the brick, along the incline, isA. equal to the weight of the brickB. less than the weight of the brickC. greater than the weight of the brickD. zero
When a brick (brickA) is resting on a rough incline, the friction force acting on the brick along the incline depends on a few factors. First, let's discuss the forces acting on the brick (brickA). The weight of the brick acts vertically downward due to gravity, and this force can be represented as the weight vector. We can decompose the weight vector into two components: one parallel to the incline (weight_parallel) and one perpendicular to the incline (weight_perpendicular).
The friction force acting on the brick (brickA) along the incline is opposing the component of the weight vector parallel to the incline (weight_parallel). The force of friction is determined by the product of the normal force (which in this case is equal to weight_perpendicular) and the coefficient of friction between the brick and the incline (brickC).
Now, let's analyze the given options:
A. Equal to the weight of the brick - This is incorrect, as the friction force is only equal to the weight_parallel component, not the entire weight of the brick.
B. Less than the weight of the brick - This is correct. The friction force acting on the brick along the incline is opposing the weight parallel component, which is always less than the total weight of the brick.
C. Greater than the weight of the brick - This is incorrect, as the friction force is only acting against the weight parallel component and cannot be greater than the total weight of the brick.
D. Zero - This is incorrect. Since the brick is on a rough incline, there will be a friction force acting against the weight parallel component.
So, the correct answer is B. The friction force acting on the brick along the incline is less than the weight of the brick.
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What are the 3 main approaches to the identification of unknown bacteria?
The three main approaches to the identification of unknown bacteria are as follows:Phenotypic identification, Molecular identification and Biochemical identification
What is Phenotypic, Molecular and Biochemical identification?1. Phenotypic identification
Phenotypic identification involves the physical and chemical characteristics of the bacterial colonies and cells. In this method, bacterial cells are studied through microscopy, their ability to grow on various types of media, cellular morphology, and other factors that are easy to observe.
2. Biochemical identification
Biochemical identification is based on the biochemical reactions of bacteria. This method involves the use of different chemical and biochemical tests to identify the bacteria. The tests are designed to identify specific enzymes or metabolic pathways. The results of the tests are then used to identify the bacteria.
3. Molecular identification
Molecular identification involves the use of DNA analysis to identify bacteria. In this method, the DNA of the bacterial cells is isolated and analyzed. This method has become popular in recent years due to its accuracy and speed.
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A linebacker runs at 3 m/s and collides with a running back running towards him at 3.2
m/s. If the running back bounces back and the linebacker stops what could be
assumed about the momentum of the running back?
A The momentum would be less than the sum of the two players before they collide
B The momentum would be twice as much as before the collision
C. The momentum would be eliminated.
D The momentum would equal the sum of the two players before they collide
Answer:b
Explanation:
im in fifth grade so i guessd. gl tho heh.
The answer will be an option C. The momentum would be eliminated for the running back.
What is elastic collision?The collision in which the object bounces off after the collision is called the elastic collision. The one condition is given in the question that after the collision the running back bounces back and the linebacker stops
A linebacker runs at 3 m/s and collides with a running back running toward him at 3.2m/s. If the running back bounces back and the linebacker stops it means that the collision is elastic. And all the momentum is transferred to the other person.
Therefore the answer will be an option C. The momentum would be eliminated for the running back.
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What is the element notation of copper,lead, phosphuros,arsenic and barium.
Answer:
Copper Cu
Lead Pb
Phosphorus P
Arsenic As
Barium Ba
GIVING BRAINLIEST FIVE STARS AND THANKS TO CORRECT ANSWER!
A sperm cell joins with an egg cell during:
fertilization
pollination
mitosis
growth
Answer:
fretillization
because when the sperm meets the egg it fertilize the egg.
Where was the first FIFA World Cup held?
(HINT: The host country won the tournament
Answer:
The 1930 FIFA World Cup was the inaugural FIFA World Cup, the world championship for men's national association football teams. It took place in Uruguay from 13 to 30 July 1930.
Explanation:
hope it helps if so pls give it the brainliest answer
Answer:
\(\huge\boxed{Uruguay\hookleftarrow}\)
⎇ The first FIFA World Cup Championship took place in Uruguay from from 13 July 1930 to 30 July 1930.
Lauren throws her first pitch of the season for her school's softball team. If the ball travels 80 feet and takes 1.58 seconds to travel this distance, what is the speed of the ball? Round you answer to the nearest hundredth.
Answer:
50.63 ft/s (2dp)
Explanation:
Speed = Distance/Time
80/1.58 = 50.63291139
= 50.63 ft/s (2dp)
. ASSERTION: WHEN ASTRONAUTS THROW SOMETHING IN SPACE, THAT OBJECT WOULD CONTINUE MOVING IN THE SAME DIRECTION AND WITH THE SAME SPEED. REASON: THE ACCELERATION OF AN OBJECT PRODUCED BY A NET APPLIED FORCE IS DIRECTLY RELATED TO THE MAGNITUDE OF THE FORCE, AND INVERSELY RELATED TO THE MASS OF THE OBJECT.
Both the assertion and the reason given are true.If the mass of the object is less, the acceleration produced by the force will be more. Hence, the acceleration produced by the force is directly proportional to the magnitude of the force and inversely proportional to the mass of the object.
The given assertion: When astronauts throw something in space, that object would continue moving in the same direction and with the same speed; and the given reason: The acceleration of an object produced by a net applied force is directly related to the magnitude of the force, and inversely related to the mass of the object are both correct.Astronauts are capable of throwing objects in space because they are beyond Earth's gravity and do not have to deal with any significant air resistance. In the absence of other forces like friction or air resistance, the initial velocity will be conserved, and the object will continue to move with the same speed and direction. The object would continue to move in a straight line with the same speed because no external force acts on it to change the object's state of motion.Newton's second law states that the force of an object is directly proportional to its acceleration, but inversely proportional to its mass. F=ma, where F is force, m is mass, and a is acceleration. Therefore, if the mass of the object is less, the acceleration produced by the force will be more. Hence, the acceleration produced by the force is directly proportional to the magnitude of the force and inversely proportional to the mass of the object.
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A soccer ball and bowling ball, with the same areas and different masses, are dropped at the same time. How will their motions compare
O The bowling ball will fall faster due to its mass.
O The bowling ball will fall at a slower speed because its mass means it will have more air resistance.
O
The soccer ball will fall slower because it will be affected by air resistance.
O The objects will fall at the same speed because the effect of gravity on them is the same.
Answer:
Third option
Explanation:
IF you ignore air resistance, they will fall at the same rate due to the effect of gravity being the same on both ....BUT the third option seems to be correct as air friction is taken into account.... the bowling ball will be affected by air resistance too, bul less so..
A race car rounds a curve at 54 m/s. The radius of the curve is 441 m, and the car’s mass is 610 kg. (Assume that the car’s speed remains constant. Take the radially inward direction to be positive) The car’s acceleration is 6.61 m/s2. What is it in g’s? What is the centripetal force acting on the car?
The car’s acceleration in g’s is equal to 0.67 m/s² and the centripetal force acting on is equal to 4033.47 Newton.
How to calculate the car’s acceleration in g’s?Since the car’s acceleration is given as 6.61 m/s², we would simply divide it by the acceleration due to gravity (9.8 m/s²) to calculate the car’s acceleration in g’s as follows:
Acceleration, g = 6.61/9.8
Acceleration, g = 0.67 m/s².
What is the centripetal force acting on the car?Mathematically, the centripetal force acting on this car can be calculated by using this formula:
Fc = mv²/r
Fc = (610 × 54²)/441
Fc = 1778760/441
Fc = 4033.47 Newton.
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if the frequency is 40 hzhz , what is the period ttt ? express your answer in seconds.
The time period for the given question would be 1/40 seconds.
Determining time period:
The frequency is 40 Hz. To find the period, t, we can use the formula: T = 1/f where T is the period and f is the frequency. Therefore, T = 1/40 seconds. An explanation is given below with the terms such as period, harmonic oscillations, amplitude, and wave.
What is the time period?
A time period is defined as the time that a wave takes to complete one full cycle of harmonic oscillations. It is the reciprocal of the frequency. The time period is a measure of time taken by a wave to complete one cycle of its motion. The amplitude of a wave is the maximum displacement of the wave from its equilibrium position. It is a measure of the strength of the wave.
What is a wave?
The wave is a disturbance that transfers energy through a medium. Waves are characterized by their frequency, wavelength, and amplitude. Harmonic oscillations are the regular and repeated motion of a system about its equilibrium position. They are periodic motions in which the system moves back and forth with a fixed frequency and amplitude.
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The free-body diagram of a crate is shown. A free body diagram with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 440 N. The second vector is pointing right, labeled F Subscript p Baseline = 176 N. The third vector is pointing upward, labeled F Subscript N Baseline = 440 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 352 N. The up and down vectors are the same length. The right vector is shorter than the left vector. What is the net force acting on the crate? 352 N to the left 176 N to the left 528 N to the right 440 N to the right
The net force acting on the crate is determined as 176 N to the left.
Net force acting on the crate
The net force acting on the crate is calculated as follows;
∑F = F1 + F2 + F3 + F4
F(net) = -440y + 176x + 440y - 352x
F(net) = -176 x
The resultant force is pointing in negative x direction.
Thus, the net force acting on the crate is determined as 176 N to the left.
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An insulated beaker with negligible mass contains liquid water with a mass of 0.350 kg and a temperature of 78.3 ∘C. How much ice at a temperature of -24.2 ∘C must be dropped into the water so that the final temperature of the system will be 40.0 ∘C ?
Answer:
Explanation:
Given:
c₁ = 2100 J / (kg·°C)
c₂ = 4200 J / (kg·°C)
λ₁ = 3.4·10⁵ J / kg -
t₁ = -24.2°C
t₀ = 0°C
t₂ = 78.3°C
t = 40.0°C
m₂ = 0.350 kg
___________
m₁ - ?
Ice is heated to 0°C:
Q₁ = c₁·m₁·(t₀ - t₁) = 2100·m₁·(0 - (-24.2)) = 50 820·m₁ J
The ice is melting:
Q₂ = λ·m₁ = 340 000·m₁ J
Cold water is heated:
Q₃ = c₂·m₁·(t - t₀) = 4200·(40.0 - 0)·m₁ = 168 000 J
Hot water is cooling down:
Q₄ = c₂·m₂·(t₂ - t) = 4200·0,350·(78.3 - 40.0) = 56 300 J
Thermal badance equation:
Q₁ + Q₂ + Q₃ = Q₄
m₁·(50820 + 340 000 + 168 000) = 56 300
m₁·(3 620 000) = 56 300
Mass of ice:
m₁ = 56 300 / 3 620 000 ≈ 0,016 kg or 16 g
How does the mass of an object affects its gravitational force?*answer in a full sentence pls * (PLS HELP ME )
Answer:
Here you go..
hope it helps..!
Explanation:
So since the gravitational force is directly proportional to the mass of both interacting objects, more massive objects will attract each other with a greater gravitational force, so as the mass of either object increases, the force of gravitational attraction between them also increases.
Each occupant must have ready access to ____ protecting the conductors supplying that occupancy unless otherwise permitted in 240.24(B)(1) and (B)(2).
Each occupant must have ready access to overcurrent protective devices protecting the conductors supplying that occupancy unless otherwise permitted in 240.24(B)(1) and (B)(2).
In electrical installations, overcurrent protective devices such as circuit breakers or fuses are used to protect conductors from excessive current. According to the National Electrical Code (NEC) in the United States, Section 240.24 addresses the accessibility requirements for these protective devices.
NEC 240.24(B)(1) states that overcurrent devices shall be readily accessible to occupants. This means that occupants should have easy access to the location where the overcurrent protective devices are installed.
NEC 240.24(B)(2) provides exceptions to the general accessibility requirement. It allows for specific cases where the overcurrent protective devices may be located in other areas, as long as certain conditions are met. These conditions include the use of remote-controlled devices, locked electrical equipment rooms, or the use of dedicated electrical equipment accessible only to qualified personnel.
According to the National Electrical Code (NEC) 240.24, each occupant must have ready access to overcurrent protective devices protecting the conductors supplying that occupancy, unless exceptions outlined in 240.24(B)(1) and (B)(2) are met. This ensures the safety and convenience of occupants by allowing them to easily reach and operate these protective devices when needed.
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You toss an apple horizontally at 9.5 m/s from a height of 1.8 m. Simultaneously, you drop a peach from the same height. How long does it take the peach to reach the ground?
Answer:
Peach and Apple will take the same time as the gravitional pull acting on both of them is equal.
height of peach=initial velocity*time+1/2*gravitional pull*(time^2)
1.8=0*time+1/2*9.8*time^2
1.8=0+1/2*9.8*time^2
1.8=1/2*9.8*time^2
3.6/9.8=time^2
taaking value of gravitional pull approx to 10
3.6/10=time^2
0.36=time^2
0.6=time
therefore, the time taken is 0.6sec
Explanation:
The time it takes the peach to reach the ground is 0.61 sec
From the question,
We are to determine how long it would take the peach to reach the ground.
From one of the equations of kinematics for free falling objects,
We have that
\(H = ut + \frac{1}{2}gt^{2}\)
Where
H is the height
u is the initial velocity,
t is the time
and g is the acceleration due to gravity ( g = 9.8 m/s²)
Since the object is dropped with no velocity, then the initial velocity is 0 m/s
From the given information
H = 1.8 m
u = 0 m/s
Putting the parameters into the formula,
We get
\(1.8 = 0(t) + \frac{1}{2}(9.8)t^{2}\)
This becomes
\(1.8 = 0 + 4.9t^{2}\)
\(1.8 = 4.9t^{2}\)
Then,
\(t^{2} = \frac{1.8}{4.9}\)
\(t^{2} = 0.367347\)
∴ \(t =\sqrt{0.367347}\)
t = 0.60609 sec
t ≅ 0.61 sec
Hence, the time it takes the peach to reach the ground is 0.61 sec
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10 points
A 61.0 kg box is sitting at rest. In order to change the box's state of
motion, Jamie must apply 75.1 Newtons of force on the box. Which of the
following represents a possible value for the force of static friction when
Jamie applied 75.1 Newtons of force on the box? (**hint- you do not need
to do math for this problem) *
A. 71.9 N
B. 75.1 N
C. 85.3 N
D. 133 N
A possible value for the force of static friction when Jamie applied 75.1 Newtons of force on the box is 75.1N. Option B is correct.
For the box sitting on a horizontal surface, the formula for calculating the force on the box along the horizontal based on Newton's law is expressed as;
\(\sum F_x=ma_x\)Since the forces acting along the horizontal are the frictional force and moving force, the formula above will become;
\(F_m-F_f=ma_x\)Since the body is static, hence \(a_x=0m/s^2\), the equation becomes;
\(F_m-F_f=m(0)\\F_m-F_f=0\\F_m=F_f\)Given the force Jamie apply on the box to be 75.1Newtons, this shows that the moving force is 75.1N. Hence;
\(F_m =F_f=75.1N\)Hence a possible value for the force of static friction when Jamie applied 75.1 Newtons of force on the box is 75.1N
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Each of the following statements describes an astronomical measurement. Place each measurement into the appropriate bin based on the type of telescope you would use to make it.
I'm sorry, but you have not provided the options for the different bins to sort the astronomical measurements into. Please provide the full question with all the necessary information so I can assist you better.
To categorize each astronomical measurement based on the type of telescope used, it's important to understand the two main types of telescopes: refracting telescopes and reflecting telescopes. Refracting telescopes use lenses to bend light while reflecting telescopes use mirrors to reflect light.
1. Refracting Telescope:
- Measurements requiring high contrast, such as observing planets or the Moon
- Measurements of bright objects, where light-gathering power is less important
2. Reflecting Telescope:
- Measurements that require large light-gathering power, such as observing faint galaxies or nebulae
- Measurements needing high resolution, like imaging fine details on distant celestial objects
Remember to consider the specific requirements of each measurement when determining the appropriate telescope type. Refracting telescopes are often used for planetary observations while reflecting telescopes are more suitable for deep-sky objects.
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A vehicle accelerates to 17.36 m/s after being stopped at a red light. The vehicle travels 24.99 m while accelerating from the intersection. How fast was its acceleration?
So, the vehicle's acceleration approximately 6.03 m/s².
IntroductionHi ! I will help you to solve a problem about "acceleration in a straight line movement". When an object experiences an acceleration, the object will experience a change in the value of the velocity in a certain time interval. When experiencing a change in speed, of course, objects will move. This movement will be written as "s" (shift or displacement).
Formula UsedThe formula that you can use to solve this question is:
\( \boxed{\sf{\bold{(v_t)^2= (v_0)^2 + 2 \times a \times s}}} \)
With the following condition :
\(\sf{v_t}\) = final velocity of an object (m/s)\(\sf{v_0}\) = initial velocity of an object (m/s)a = acceleration that happen (m/s²)s = the shift or distance of the object (m)SolutionWe know that :
\(\sf{v_t}\) = final velocity of an object = 17.36 m/s\(\sf{v_0}\) = initial velocity of an object = 0 m/s >> the vehicle initially stopped at the intersection.s = the shift or distance of the object = 24.99 mWhat was asked ?
a = acceleration that happen = ... m/s²Step by step :
\( \sf{(v_t)^2= (v_0)^2 + 2 \times a \times s} \)
\( \sf{(17.36)^2= (0)^2 + 2 \times a \times 24.99} \)
\( \sf{301.37 \approx 49.98 \times a} \)
\( \sf{a \approx \frac{301.37}{49.98}} \)
\( \boxed{\sf{a \approx 6.03 \: m/s^2}} \)
ConclusionSo, the vehicle's acceleration approximately 6.03 m/s².
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6. When the net force that acts on a hockey puck is 12 N, the puck accelerates at a rate of 48 m/s2. Determine the mass of the puck.A) 0.25 kgB) 1.0 kgC) 5.0 kgD) 2.5 kgE) 2.0 kg
The equation F=ma, where F is the net force, m is the mass, and an is the acceleration, can be used. . Rearranging the formula to solve for mass, we get m=F/a. Substituting the given values, we get m=12 N/48 m/s^2 = 0.25 kg. Therefore, the answer is A) 0.25 kg.
To solve this problem, you can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). In this case, the net force (F) is 12 N, and the acceleration (a) is 48 m/s². You are asked to determine the mass (m) of the hockey puck.
Using the equation F = ma, you can rearrange it to find the mass: m = F/a
Plug in the given values: m = 12 N / 48 m/s²
Calculate the mass: m = 0.25 kg
The mass of the hockey puck is 0.25 kg, which corresponds to option A.
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A baseball is thrown 50.0m in 3.0s, what is the average speed of the baseball? Calculated answer is 16.666667! What is the correct answer when using significant figures?
Answer:
20m/s
Explanation:
Given parameters:
Distance of throw = 50m
Time = 3s
Unknown:
Average speed = ?
Solution:
Average speed is distance divided by time;
Average speed = \(\frac{distance }{time}\)
Insert the parameters and solve;
Average speed = \(\frac{50}{3}\) = 16.66667m/s = 20m/s
A 1000kg car experiences a 2500 N net force while accelerating. What is the acceleration
Answer:
\(\huge\boxed{\sf a = 2.5 \ m/s\²}\)
Explanation:
Given equation:Mass = m = 1000 kg
Force = F = 2500 N
Required:Acceleration = a = ?
Formula:F = ma (Newton's second law of motion)
Solution:F = ma
Solve for a.
a = F / m
a = 2500 / 1000
a = 2.5 m/s²\(\rule[225]{225}{2}\)
Of a race, a runner decelerates from a velocity of 9 m/s at a rate of 2m/s2 so how far does she travel in the next 5 seconds ?
Answer:
The distance travelled in the next 5 seconds is 20 m.
Explanation:
The distance travelled is given by the formula,
\(s=ut+\frac{1}{2} at^{2}\)
Where,
u is the initial velocity in m/s
t is the time in s
a is the acceleration in \(m/s^{2}\)
As per the given data,
u= 9 m/s
t= 5 s
a= -2 \(m/s^{2}\) (The negative sign indicates the deceleration)
Substituting the values,
\(s=(9) * (5) +\frac{1}{2} (-2) (5)^{2}\)
=45-25
=20
So, a runner travels 20 m in the next 5 seconds.
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What is E equal to in relativity?
\( \huge \underline \mathtt \colorbox{cyan}{E=mc squared}\)
(E=mc^2)
Where:m is mass
And c is a constant for speed of light
Answer:
One of the most famous and well-known equations in all of human history, E = mc^2, translates to "energy is equal to mass times the speed of light squared." In other words, wrote PBS Nova, energy (E) and mass (m) are interchangeable. They are, in fact, just different forms of the same thing.
Explanation:
this is right answer