When the driver applies the brakes of a light truck traveling 40 km/h, it skids 3.5 m before stopping. if it is traveling 80 km/h when the brakes are applied, the truck will skid for 14.26m.
We can use the principle of work and energy to solve this problem. The work done by the frictional force is equal to the change in kinetic energy of the truck. The work-energy principle can be written as:
T₁ + ΣU₁-₂ = T₂
where T₁ is the initial kinetic energy of the truck, ΣU₁-₂ is the work done by the frictional force, and T₂ is the final kinetic energy of the truck when it comes to rest.
On further expanding the above equation, we get:
1/2 mv₁² + μk(mgd) = 1/2 mv₂²
where m is the mass of the truck, v₁ is the initial velocity of the truck, v₂ is the final velocity of the truck (zero), μk is the coefficient of kinetic friction between the tires and the road, g is the acceleration due to gravity, and d is the distance traveled by the truck before coming to rest.
Substituting the given values in the above equation, we get:
1/2 × m × (11.11 m/s)² + μk(mgd) = 0
61.71m = μkmgd
μk = 17.31
For the second case, when the truck is traveling at 80 km/h, the initial velocity of the truck is:
v₁ = 80 km/h = 22.22 m/s
Using the same equation as before, we can find the distance traveled by the truck before coming to rest:
1/2 × m × (22.22 m/s)² + μk(mgd') = 0
1/2 × m × (22.22 m/s)² = μkmgd'
d' = (1/2 × m × (22.22 m/s)²)/(μkmg)
Substituting the value of μk we found earlier, we get:
d' = (1/2 × m × (22.22 m/s)²)/(17.31mg)
d' = 14.26 m
Therefore, the truck will skid a distance of 14.26 m before coming to rest when it is traveling at 80 km/h and the brakes are applied.
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Amount of heat required to raise temperature of 10gm water through 2 deg * C is
The amount of heat required to raise the temperature of 10 g of water through 2°C is 83.68 Joules.
To determine the amount of heat required to raise the temperature of 10 g of water through 2°C, we will use the formula:Q = m × c × ΔT
Where Q is the amount of heat required, m is the mass of the substance being heated, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
So, for 10 g of water, the mass (m) would be 10 g.
The specific heat capacity (c) of water is 4.184 J/(g°C), so we'll use that value.
And the change in temperature (ΔT) is 2°C.
Substituting these values into the formula, we get:Q = 10 g × 4.184 J/(g°C) × 2°CQ = 83.68 Joules
Therefore, the amount of heat required to raise the temperature of 10 g of water through 2°C is 83.68 Joules.
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Which of the following methods has led to the most discoveries of extrasolar planet candidates?A) detecting a planet ejected from a binary star systemB) detecting the infrared light emitted by the planetC) detecting the dip in measured brightness as the planet crosses our line of sight to the starD) detecting the shift of the starʹs position against the sky due to the planetʹs gravitational pullE) detecting the gravitational effect of an orbiting planet by looking for the Doppler shifts in thestarʹs spectrum
The method that has led to the most discoveries of extrasolar planet candidates is E) detecting the gravitational effect of an orbiting planet by looking for the Doppler shifts in the star's spectrum.
This is commonly known as the radial velocity or the "wobble" method, where the planet's gravity causes the star to move back and forth, causing a Doppler shift in the star's spectrum.
This method has been very successful in detecting and confirming the presence of many exoplanets.
The other methods listed, such as detecting a planet ejected from a binary star system or detecting the dip in measured brightness as the planet crosses our line of sight to the star, have also been used to discover exoplanets but have not been as productive as the radial velocity method.
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Somebody help!?
13. The graph below represents the speed of a car vs. time. Circle the letter(s) with the lowest acceleration.
What is the acceleration? How do you know?
Answer:
acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.
Explanation:
Calculating acceleration involves dividing velocity by time — or in terms of SI units, dividing the meter per second [m/s] by the second [s]. Dividing distance by time twice is the same as dividing distance by the square of time. Thus the SI unit of acceleration is the meter per second squared .
A cart is initially moving at 0.5 m/s along a track with constant friction. The cart comes to rest after traveling 1 m. The experiment is repeated on the same track, but now the cart is initially moving at 1 m/s. How far does the car travel before coming to rest
This means that the distance traveled by the cart in the second scenario will also be 1 m.
In this scenario, we can use the concept of work-energy theorem to determine how far the cart travels before coming to rest. The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy.
Let's consider the first scenario:
Initial velocity (u) = 0.5 m/s
Final velocity (v) = 0 m/s (since the cart comes to rest)
Distance traveled (d) = 1
Using the work-energy theorem, we can calculate the work done on the cart:
Work = Change in kinetic energy
The initial kinetic energy (K_i) of the cart is given by:
K_i = (1/2) * mass * (initial velocity)^2
Since the mass of the cart is not provided, we'll assume it to be 1 kg for simplicity.
K_i = (1/2) * 1 kg * (0.5 m/s)^2 = 0.125 J
Since the cart comes to rest, the final kinetic energy (K_f) is zero.
Therefore, the work done on the cart is:
Work = K_f - K_i = 0 - 0.125 J = -0.125 J
In the second scenario:
Initial velocity (u) = 1 m/s
Final velocity (v) = 0 m/s (since the cart comes to rest)
Distance traveled (d) = ?
Using the work-energy theorem again, we have:
Work = Change in kinetic energy
The initial kinetic energy (K_i) of the cart is given by:
K_i = (1/2) * 1 kg * (1 m/s)^2 = 0.5 J
Since the cart comes to rest, the final kinetic energy (K_f) is zero.
Therefore, the work done on the cart is:
Work = K_f - K_i = 0 - 0.5 J = -0.5 J
Since the work done is equal to the change in kinetic energy, we can conclude that the work done on the cart is the same in both scenarios.
This means that the distance traveled by the cart in the second scenario will also be 1 m, just like in the first scenario.
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If a star has a mass of 80 times greater than the Sun and is orange or red in color, it is likely be classified as...
A.) white dwarf
B.) main sequence star
C.) giant or supergiant
D.) variable star
Answer:
the answer is main sequence star
ethe earth takes 1 day to rotate once about its axis. what is the angular v elocity of a point on the surface of the earth studentroom physics ocr a
The angular velocity of a point on the surface of the earth is \(7.3 * 10^{-5} rad/s\)
What is angular velocity?
Angular velocity is a vector quantity and is described as the rate of change of angular displacement which specifies the angular speed or rotational speed of an object and the axis about which the object is rotating.
What is angular velocity and write its formula?
Angular velocity is the rate of change of the position angle of an object with respect to time, so w = theta / t, where w = angular velocity, theta = position angle, and t = time.
Every point on the earth's surface completes one circular orbit (centered at a point on the axis) in 1 day
1 day = 24x60x60
1 day=86400s
Angular velocity is given by :
\(w =2\pi /86400\\ w =7.3*10^{-5} rad/s\)
Thus, \(7.3 * 10^{-5} rad/s\) is the correct answer.
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If a rocket takes off from earth with a certain force what must be true about earth
If a rocket takes off from Earth with a certain force, there are several things that must be true about Earth to make this possible.
Firstly, Earth must have a gravitational field that attracts the rocket toward its center. This gravitational force pulls the rocket toward the ground, and the rocket must overcome it with a force greater than the force of gravity in order to take off.
Secondly, Earth's atmosphere must be present, as the rocket needs to push against the air molecules to create thrust and lift off the ground. Thirdly, Earth's surface must be firm enough to support the launch of the rocket, with a strong and stable launchpad to prevent any accidents.
Fourthly, Earth's rotational speed and position in its orbit around the Sun must also be taken into account, as this affects the required trajectory of the rocket for a successful launch. Overall, a combination of Earth's gravitational force, atmosphere, surface conditions, and position in its orbit all play a crucial role in enabling a rocket to take off from Earth.
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Please HURRY
particles q_1 = -8.99uc, q_2 = +5.16uc, and q_3=-89.9uc are in a line. particles q_1 and q_2 are separated by 0.220m and particles q_ 2 and q_3 are separated by 0.330m. what is the net force on particles q_1?
The net force on particle q₁ is 6.76 x 10⁻³ N.
How to calculate net force?The net electric force acting on a charged particle due to other charged particles is given by Coulomb's law:
F = k × (|q₁|×|q₂|)/r²
where F is the force, k is Coulomb's constant, q₁ and q₂ are the charges on the particles, and r is the distance between them.
The direction of the force is along the line connecting the two charges, and is attractive for opposite charges and repulsive for like charges. In this case, the net force on q₁ due to q₂ and q₃ is the vector sum of the individual forces. So we need to calculate the force on q₁ due to q₂ and the force on q1 due to q₃ separately, and then add them as vectors.
F1 = k × (|q₁||q₂|)/r₁², where r1 = 0.220 m
F1 = (8.99 x 10⁹ Nm²/C²) x (8.99 uC) x (5.16 uC) / (0.220 m)²
F1 = 1.04 x 10⁻³N (attractive force)
F2 = k × (|q₁||q₃|)/r₂², where r₂ = 0.330 m
F2 = (8.99 x 10⁹ Nm²/C²) x (8.99 uC) x (89.9 uC) / (0.330 m)²
F2 = 7.80 x 10⁻³ N (repulsive force)
The net force on q₁ is the vector sum of F₁ and F₂, taking into account their directions:
F_net = F₁ - F₂ = 1.04 x 10⁻³ N - 7.80 x 10⁻³ N
F_net = -6.76 x 10⁻³ N (attractive force)
So the net force on q₁ is 6.76 x 10⁻³ N, in the direction towards q₂.
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What are matter, particle and atom? How can you explain matter using the terms particle and atom?
Answer:
Matter is matter. Particles are particles. Atoms are atoms. You can explain matter using particles and atoms.
JK!
Real Answer:
The term matter refers to anything that occupies space and has mass—in other words, the “stuff” that the universe is made of. An atom is the smallest unit of matter that retains all of the chemical properties of an element. Most atoms contain all three of these types of subatomic particles—protons, electrons, and neutrons.
Hope this helps!
Which of the following is NOT an example of acceleration?
A car is traveling 33 km/h and slows down to 25 km/h.
B.
A car is driving straight at 50 mi/h.
A car is traveling 33 km/h and speeds up to 45 km/h.
A car is traveling 33 km/h north and turns east.
Answer:
B
explanation:
The car is not making a change in speed.
spaceship is moving between two distant stars at 90.1% of the speed of light. to someone in the ship, the distance between the two stars appears to be 7.86 light-years (ly). what is the distance between the stars in the rest frame of the stars (i
The distance between the two stars in their rest frame is approximately 15.63 light-years.
Length contraction is the phenomenon that a moving object's length is measured to be shorter than its proper length, which is the length as measured in the object's own rest frame.
To answer this question, we can use the concept of length contraction in special relativity.
The formula for length contraction is:
\(L = L_0 * \sqrt{(1 - v^2 / c^2)\)
where L is the contracted length (7.86 light-years in this case), L₀ is the proper length (the distance between the stars in their rest frame), v is the velocity of the spaceship (90.1% of the speed of light), and c is the speed of light.
First, we need to find the factor by which the length contracts:
\(\sqrt{(1 - v^2 / c^2)} = \sqrt{(1 - (0.901c)^2 / c^2)} = \sqrt{(1 - 0.811801)\)
Now we can solve for L₀:
L₀ = L / \(\sqrt{(1 - 0.811801)\) = 7.86 light-years / \(\sqrt{(1 - 0.811801)\)
L₀ ≈ 15.63 light-years
This is the required distance.
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What is the wavelength?
What could you have done to reduce those errors?
a parallel plate capacitor is connected to a battery that maintains a constant potential difference. how will the magnitude of the charge on the plates change if the separation between the plates is doubled?
The charge on the plates will remain constant, regardless of the change in the separation between the plates.
The charge on the plates of a parallel plate capacitor is given by the formula:
Q = C * V
Where:
Q is the charge on the plates
C is the capacitance of the capacitor
V is the potential difference between the plates
The capacitance of a parallel plate capacitor is given by the formula:
C = (epsilon * A)/d
Where:
epsilon is the permittivity of the material between the plates
A is the area of one of the plates
d is the separation between the plates
If the separation between the plates is doubled, the capacitance of the capacitor will be halved. However, the potential difference between the plates is being maintained at a constant value by the battery. Therefore, the charge on the plates will remain constant, regardless of the change in the separation between the plates.
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What do you think happened to the energy you transferred to the notebook when you pushed it?
Answer:
It got transferred to kinetic energy
Explanation:
Answer:
The energy changed from kinetic energy to heat energy. Friction causes heating.
An object has more elastic potential energy if...
imagine that you are traveling in a spaceship, bound for the edges of our solar system. which of the following is the correct order you would encounter the following celestial bodies
Assuming you are traveling in a straight line and not being influenced by the gravity of any celestial bodies, the correct order that you would encounter the following celestial bodies as you travel towards the edges of our solar system would be:
Asteroid belt - This is a region of space between the orbits of Mars and Jupiter that contains numerous small rocky objects called asteroids.
Jupiter - This is the largest planet in our solar system and the fifth planet from the sun. It has a very strong gravitational field and is surrounded by a system of moons and rings.
Saturn - This is the sixth planet from the sun and is known for its beautiful rings, which are made up of billions of particles of ice and rock.
Uranus - This is the seventh planet from the sun and is unique among the planets in our solar system because its axis of rotation is tilted at an extreme angle.
Neptune - This is the eighth and farthest planet from the sun and is similar in size and composition to Uranus.
Kuiper Belt - This is a region of space beyond the orbit of Neptune that contains numerous small icy objects called Kuiper Belt objects, including dwarf planets such as Pluto.
Oort Cloud - This is a hypothetical spherical cloud of icy objects that is thought to surround our solar system at a distance of up to 100,000 times the distance between the sun and the Earth.
It's worth noting that the distances between these celestial bodies are vast, and the journey to the edges of our solar system would take many years or even decades, even if traveling at the speed of light.
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How is thermal energy transferred during conduction?
Answer:
Conduction occurs when a substance is heated, particles will gain more energy, and vibrate more. These molecules then bump into nearby particles and transfer some of their energy to them. This then continues and passes the energy from the hot end down to the colder end of the substance.
Explanation:
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Calculate the approximate velocity of a space shuttle orbiting around the earth at a height 3.6 x 106 m. M???? = Mass of the Earth = 6 x 1024 kg R????= Radius of the Earth = 6.4 x 106 m G = Gravitational Constant = 6.674 x 10-11 m3s-2kg-1
The approximate velocity of a space shuttle orbiting around the earth at a height 3.6 x 106 m is 22.14 km/s.
Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.
Calculation:-
V = √2GMe/Re
= √2×66×⁻¹¹ × 8 × 10²⁴ / 2 × 6.4 × 10⁶
= 2× 11.18 × 10³
= 22.14 km/s
Average velocity is defined as the trade in position or displacement (∆x) divided by the time durations (∆t) wherein the displacement takes place. The common velocity can be effective or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).
Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.
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What is the net force on an object that is experiencing a force of 25 N north, a force of 25 N
south, a force of 50 N to the east and a force of 45 N to the west?
Answer:
net 5N of force will act in east direction.
Explanation:
force acting in North and South direction will cancel each other.
force in east direction - force in west direction = 5N
What is the probability of rolling a 6 on a number cube?
I was researching something for some teaching resources when I came across the phrase "six-sided number cube" on the AP Statistics website, which is a sort of Martian-like description of what we call a die in English.
With six numbers, there are 63 potential combinations. In general, the formula shown below can be used to determine how many combinations are possible given a set of n elements: 2n – 1 is the number of combinations with n elements. The equation then reads as follows for 6 elements. 6 elements could be combined in 720 different ways using the formula 6*5*4*3*2. If you have the option, you can alter the order of the components in a way that uses less of each.
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The acceleration due to gravity on the moon is 1.62 m/s^2, approximately a sixth of the value on earth. for a given initial velocity v0, and a given launch angle θ0, the ratio of the range of an ideal projectile on the moon to the range of the same projectile on earth, rmoon/rearth, will be approximately?
The ratio of the ideal projectile distance on the moon to the same projectile distance on earth, moon/back, is approximately (the acceleration of gravity on the moon is 1.62 m/s², about one-sixth of the acceleration due to gravity on earth. for a given initial velocity v0 , and the specified launch angle θ0) is ⅙ (option B)
The initial velocity, launch angle, and acceleration due to gravity all affect a projectile's range. The formula for an ideal projectile's range is as follows:
R = v0²sin (2θ0) / g
Where,
v0 = the initial velocity (m/s)
θ0 = the launch angle
g = the acceleration due to gravity
The acceleration caused by gravity is 1.62 m/s² for the moon and 9.8 m/s² for the earth. Ranges on the moon and ranges on earth can be expressed as follows:
R moon / R earth = (1.62 sin (2θ0)) / g
sin (2θ0) = 1.62 / 9.8
Approximately ⅙
Consequently, an ideal projectile's range on the moon is around a sixth of its range on Earth.
The question is incomplete, it should be:
The acceleration due to gravity on the moon is 1.62 m/s², approximately a sixth of the value on earth. for a given initial velocity v0, and a given launch angle θ0, the ratio of the range of an ideal projectile on the moon to the range of the same projectile on earth, rmoon/rearth, will be approximately?
A. ⅓
B. ⅙
C. 1
D. 1/12
E. ⅕
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what volume of normal saline flush should you administer nrp
Answer: According to NRP (Neonatal Resuscitation Program) guideline, the volume of normal saline flush that should be administered is 0.5-1 mL.
Explanation: The Neonatal Resuscitation Program (NRP) is a program developed by the American Academy of Pediatrics (AAP) and the American Heart Association (AHA) for the purpose of developing guidelines for resuscitating newborns who are in distress. One of the most basic interventions is the use of a saline flush to clear any debris or blood clots that may be present in the newborn's airway or lungs. A normal saline flush of 0.5-1 mL should be administered to clear the airway of any debris and improve the respiratory effort of the newborn.
Conclusion: Therefore, the volume of normal saline flush that should be administered according to NRP guideline is 0.5-1 mL.
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if the wire is now bent into a circle lying flat on the table, find the magnitude and direction of the electric field it produces at a point 4.00 cm directly above its center. express your answer in newtons per coulomb.
An electric field is produced when a wire is bent into a circular shape lying flat on the table. The magnitude and direction of the electric field produced by the wire at a point 4.00 cm directly above its center can be found using the Biot-Savart law.
The formula for the Biot-Savart law is given below;
\(`dB = µI(dl × r) / (4πr²)\)`Where dB is the magnetic field at a point, µ is the permeability of free space, I is the current, dl is the current element, r is the distance between the point and the current element, and θ is the angle between the vectors dl and r.
The wire is carrying a current I and has a radius R, which means that the current element can be expressed as `dl = R dθ`. The magnetic field at a point P located at a distance z above the center of the wire is given by;
\(`B = µI / 4π ∫ (R dθ / r² + z²)½`\)The angle between dl and r is 90° because the current element is perpendicular to the point.
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for a metal that has an electrical conductivity of 6.1 × 107 (ω·m)−1, what is the resistance of a wire that is 4.3 mm in diameter and 8.1 m long?
The resistance of the wire with a diameter of 4.3 mm and a length of 8.1 m is 9.14*10⁻³ Ω
What is an illustration of resistance?Resistance is defined as a refusal to give up to something that prevents or slows down anything. A child fighting her abductor is an example of resistance. An example of resistance is the wind pushing up against an airplane's wings.
Briefing:We can calculate the resistance as follows:
R = 1/σ . L / A, where:
l is the wire's length, σ is the electrical conductivity, and A is its cross-section (assumed circular).
By modifying the values, we may determine R as follows:
R = 1/6.1. 10⁷ (Ω.m) . 8.1 m. / π (0.0043)² m / 4
= 9.14 . 10⁻³ Ω
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The complete question is-
For a metal that has an electrical conductivity of 6.1 × 10⁷ (Ω∙m)⁻¹, what is the resistance of a wire that is 4.3 mm in diameter and 8.1 m long?
(A) 3.93 × 10⁻⁵ Ω
(B) 2.29 × 10⁻³ Ω
(C) 9.14 × 10⁻³ Ω
(D) 1.46 × 10¹¹ Ω
Describe the relationship between speed and thinking distance. Physics Paper 2
While there is no direct relationship between speed and thinking distance, higher speeds can result in longer thinking distances due to the increased reaction time needed by the driver.
The relationship between speed and thinking distance is not a direct one, as thinking distance is primarily influenced by the driver's reaction time rather than the actual speed of the vehicle. Thinking distance refers to the distance traveled by a vehicle during the driver's reaction time after perceiving a hazard.
However, there is an indirect relationship between speed and thinking distance in the sense that higher speeds generally result in longer thinking distances. When a vehicle is traveling at a higher speed, the driver needs more time to process information, make decisions, and react to potential hazards. Therefore, a higher speed can lead to a longer thinking distance.
It is important to note that thinking distance is just one component of the total stopping distance, which also includes braking distance. Braking distance is directly influenced by the speed of the vehicle. Higher speeds require longer braking distances to bring the vehicle to a stop.
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#2 Most of Earth's weather takes place in the O troposphere O stratosphere O mesosphere thermosphere
Answer:
troposphere
hope this helps
have a good day :)
Explanation:
A 15.00 cm long solenoid with radius 2.50 cm is closely wound with 600 turns of wire. The current in the windings is 8.00 A. What is the magnetic field at a point near the center of the solenoid?
A) 4.80 T
B) 0.006 T
C) 0.4020 T
D) 0.0402 T
The magnetic field at a point near the center of the solenoid can be calculated using the formula B = μ₀ * n * I, where μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current in the windings.
First, we need to find the number of turns per unit length, which can be calculated by dividing the total number of turns by the length of the solenoid.
n = 600 / 15.00 cm = 40 turns/cm
Next, we need to convert the radius of the solenoid from centimeters to meters, as the unit for permeability is in Tesla meters per ampere (Tm/A).
r = 2.50 cm = 0.025 m
Now we can plug in the values into the formula: B = μ₀ * n * I
B = (4π * 10^-7 Tm/A) * 40 turns/cm * 8.00 A
B = 0.0402 T
Therefore, the magnetic field at a point near the center of the solenoid is 0.0402 T, which corresponds to option D in the given choices.
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A ball thrown vertically upward is caught by the thrower after 4.00 sec. Find the initial velocity of the ball and the maximum height it reaches.
Answer:
Initial velocity = 39.2m/s
Maximum height is 78.4m
Explanation:
Given
\(Time, t = 4s\)
Solving (a): Initial Velocity
Using first law of motion:
\(v = u + at\)
Where
\(v = final\ velocity = 0\)
\(u = iniital\ velocity = ??\)
\(a = acceleration = -g\) [g represents acceleration due to gravity]
\(t = 4\)
Substitute these value in the above formula:
\(v = u + at\)
\(0 = u - g * 4\)
\(0 = u - 9.8 * 4\)
Take g as 9.8m/s²
\(0 = u - 39.2\)
\(u = 39.2m/s\\\)
Hence, initial velocity = 39.2m/s
Solving (b): Maximum Height
This will be solved using second equation of motion
\(s = ut + \frac{1}{2}at^2\)
This becomes
\(s = ut - \frac{1}{2}gt^2\)
Substitute values for u, t and g
\(s = 39.2 * 4 - \frac{1}{2} * 9.8 * 4^2\)
\(s = 156.8 - 78.4\)
\(s = 78.4\)
Hence, the maximum height is 78.4m
all 3 of these examples (Volt, Newton, Tesla) are units that come from other metric units true or false?
Answer:
False
Explanation:
because Only Volt and Newton are units come from metric units, however, the Tesla is not come from Metric units.