1092.72 square meters / min, area of the oil slick increasing.
Area = pi*r^2
da/dt = pi*2r*(dr/dt)
da/dt = pi*(2)*(58)*3 = 1092.72 square meters / min.
In a two-dimensional plane, a circle's area is the space it takes up. The area of a circle is another term for the area that lies within a circle's perimeter. A = r2, where r is the circle's radius, is the equation for a circle's surface area. The square unit, such as m2, cm2, in2, etc., is used to measure area. The formula for the area of a circle is (Pi) = 22/7 or 3.14, where (Pi) = r2 or d2/4 in square units. The ratio of a circle's diameter to circumference is known as pi.
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Which vehicle has an acceleration of 5 m/s²?
A a bicycle, when its speed changes from rest to 2.5 m/s in 2s
B a car, when its speed changes from rest to 15 m/s in 5s
C a lorry, when its speed changes from rest to 20 m/s in 15s
D a motorbike, when its speed changes from rest to 50 m/s in 10s
The vehicle has an acceleration of 5 m/s² - A motorbike, when its speed changes from rest to 50 m/s in 10s
What is an acceleration ?
Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity. The velocity vector change during a time interval divided by the time interval is the definition of acceleration.
All the vehicles have an initial velocity ( u) = 0
A- For bicycle
Final velocity (v) = 2.5m/s time (t) = 2s
acceleration = 2.5/2 = 1.25m/s2
B- For car
Final velocity (v) = 15m/s time (t) = 5s
acceleration = 15/5 = 3m/s2
C- For lorry
Final velocity (v) = 20m/s time (t) = 15s
acceleration = 20/15= 1.33m/s2
D- For motorbike
Final velocity (v) = 50m/s time (t) = 10s
acceleration = 50/10= 5m/s2
Option D is the correct answer as the motorbike will have an acceleration of 5m/s2.
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first, launch the video solenoids. after watching the video, answer the follow-up question below. select to launch video part a a solenoid with 200 loops is 55 cm long. it has a current of 1.2 a . what is the magnetic field in this solenoid?
The magnetic field in the solenoid due to current 1.2A is 54.807 x 10⁻⁵ A/m
The No. of Loops in the solenoid, N = 200
Length of the solenoid, l = 55 cm
The current passing through the solenoid, I = 1.2 A
The magnetic field passing through the solenoid can be calculated using the Ampere's law which is
B = μ₀nI
where B is the magnetic field
μ₀ is the permeability of free space
n is the no. of turns per meter
I is the current passing through the solenoid
Thus , we can re-write this formula a
[tex]B = \frac{\mu_0 N I}{l}[/tex]
Let us substitute the know values in the above equation , we get
B = (4 x 3.14 x 10⁻⁷ x 200 x 1.2 ) / (55 x 10⁻²)
where μ₀ = 4π x 10⁻⁷
B = 3014.4 x 10⁻⁷ / 55 x 10⁻²
B = 54.807 x 10⁻⁷ x 10²
B = 54.807 x 10⁻⁵ A/m
Therefore , the magnetic field passing through the given solenoid is
54.807 x 10⁻⁵ A/m
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solve for x: |2x + 6| − 4 = 20 Group of answer choicesx = 9 and x = 11x = −9 and x = 15x = 9 and x = −15No solution
Given,
[tex]|2x+6|-4=20[/tex]On simplifying,
[tex]\begin{gathered} |2x+6|=20+4 \\ \Rightarrow|2x+6|=24 \\ 2x+6=\pm24 \end{gathered}[/tex]Thus,
[tex]\begin{gathered} 2x=+24-6 \\ \Rightarrow x=\frac{18}{2} \\ =9 \end{gathered}[/tex]Or
[tex]\begin{gathered} 2x=-24-6 \\ x=\frac{-30}{2} \\ =-15 \end{gathered}[/tex]Thus, x=9 and x=-15
Therefore the correct answer is the third option
By 1335, mechanical ____ had first appeared in Milan, Italy, and then in other cities.
A) Robots
B) Power
C) Toys
D) Clocks
Mechanical robots had first appeared in Milan, Italy, and then in other cities.
Robots are machines, especially those that can be programmed by computers, that are capable of performing intricate sequences of tasks automatically. A robot can be directed by an internal control system or an external control device. Although some robots are built to resemble humans, most robots are task-performing machines that place a greater focus on bare utility than on expressive aesthetics.Robotics is the area of technology that deals with the development, manufacturing, use, and use of robots as well as the computer systems that control, sense, and process information for them. These technologies deal with automated devices that can replace people in hazardous settings or production processes or that are similar to people in terms of appearance, conduct, or cognition. The field of bio-inspired robotics has benefited from the inspiration of nature found in many of today's robots. Soft robotics, a more recent field of robotics, was also developed by these robots.To know more about robots
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a machine has a efficiency of 20%, find the input work if the output work is 140 J
The input work of a machine with an efficiency of 20% and an output work of 140 J is 28 J
What is input work of a machine?
Input work is the work done on a machine as the input force acts through the input distance.
To calculate the input work of the machine, we use the formula below.
Formula:
E(%) = (Wi/Wo)×100......... Equation 1Where:
E(%) = Efficiency of the machineWi = Input workWo = Output work.Make Wi the subject of the equation
Wi = E(%)×Wo/100....... Equation 2From the question,
Given:
E(%) = 20%Wo = 140 JSubstitute these values into equation 2
Wi = 20×140/100Wi = 28 JHence, the input work of the machine is 28 J.
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a step-up transformer has a primary coil with 150 loops and a secondary coil with 2000 loops. if the primary coil is supplied with a household current of 120 v and 15 a, what voltage is produced in the secondary current?
Voltage produced in the secondary voltage is 1,600 V
What is a current transformer (C.T.) ?A current transformer (C.T.) is a type of "transducer" that produces an alternating current in a secondary winding that is proportional to the current sensed in the primary winding. Current transformers reduce high voltage currents to much lower values and provide a convenient way to safely monitor the actual current flowing in AC transmission lines using a standard ammeter. The working principle of a simple current transformer is slightly different from that of a normal voltage transformer. To calculate voltage in the secondary coil:
N₁/N₂ = V₁/V₂
where;
N₁ is number of turns in primary coil
N₂ is number of turns in secondary coil
V₁ is voltage in primary coil
V₂ is voltage in secondary coil
Now for the given case,
150/2000 = 120/V₂
V₂ = (120 x 2000)/150
V₂ = 1,600 V
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What is Amy's distance and displacement if she runs 2 miles south, then turns around and runs 3 miles north?
Amy's distance and displacement if she runs 2 miles south, then turns around and runs 3 miles north is 1 mile.
What is Displacement?This is referred to as the change in the position of an object and it is usually measured in meters by finding the difference in location between the two bodies involved.
We were told that she runs 2 miles south, then turns around and runs 3 miles north and they are at exact opposite sides on the map which means that the displacement will be:
3 miles - 2 miles
= 1 mile hence, it is the correct choice.
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A race car speeds up from 0 m/s to 40.0 m/s in 4 seconds. What is the vehicle's acceleration?
A. 16 m/s²
B. 10.0 m/s²
C. 4.0 m/s²
D. 8.0 m/s²
Answer: b) 10.0 m/s
Explanation: Acceleration = [tex]\frac{v-u}{t}[/tex]
V-U
T
v= final velocity
u= initial velocity
t= time in secs
Answer:
ur mom go study nerd u for real
A ball is shot 58m/s at 40 degrees to the ground. What is the magnitude of the vertical component of the velocity of the plane?
The magnitude of vertical component of the velocity of the plane when a ball is shot 58 m/s at 40 degree to the ground is 37.28 m/s.
What is velocity?
Velocity can be defined as the rate of change of displacement, The S.I unit of velocity is m/s.
To calculate the magnitude of the vertical component of the velocity, we use the formula below.
Formula:
Vy = Vsin∅.............. Equation 1Where:
Vy = Vertical component of the velocityV = Velocity of the ball∅ = Angle the ball makes with the groundFrom the question,
Given:
V = 58 m/s∅ = 40°Substitute these values into equation 1
Vy = 58(sin40°)Vy = 58×0.6428Vy = 37.28 m/sHence, The magnitude of the vertical component of the velocity is 37.28 m/s.
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Mosses are located in which zone of deciduous forests? a. tree stratum b. ground c. shrub d. herb please select the best answer from the choices provided a b c d
Answer
Ground Zone
Explanation
The final zone is the Ground zone. It contains lichen, club mosses, and true mosses. The deciduous forest has four distinct seasons, spring, summer, autumn, and winter. In the autumn the leaves change color.
Answer: B Ground
Explanation:
A 12 kg box is pushed to the left by a 48 N force.
Find its acceleration.
Answer: 4m/2
Explanation: If you divide 48N and 12N, you will get 4m/s
A force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object. What is the net force applied to the object?
A. 10 N to the left
B. 50 N to the right
C. 50 N to the left
D. 10 N to the right
The net force on an object if a force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object is 10 N to the right. And the right option is D.
What is net force?The net force is the vector sum of all the forces that act upon an object.
To calculate the net force applied to the object, we use the formula below.
Formula:
F = Fa-Fb................. Equation 1Where:
F = Net force applied to the object.Fa = Force applied to the rightFb = Force applied to the leftFrom the question,
Given:
Fa = 30 N to the rightFb = 20 N to the leftSubstitute these values into equation 1
F = 30-20F = 10 N to the right.Hence the right option is D. 10 N to the right.
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Your friend wants to place an object behind the mirror to prevent the eye from seeing the image in the
mirror. Explain why this won't work.
According to the law of reflection, the light from the item cannot bounce off the mirror and reach his eye across his line of sight.
Briefing:According to the law of reflection, the light from the item cannot bounce off the mirror and reach his eye across his line of sight. Ray is unable to see the object's reflection in the mirror because the object's light does not reach his eye.
What is law of reflection ?The law of reflection, the angle of the reflected beam is equal to the angle of the incident ray while reflecting from a smooth surface. (In geometrical optics, all angles are usually measured in relation to the surface normal, or a line perpendicular to the surface.
How is the law of reflection used?In physics, the rule of reflection is used to locate an image that is reflected in a mirror. One effect of a law is that if you can see someone's eyes through a mirror (or the eyes of another species), you can assume that he may see your eyes as well because of how reflection function.
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what is the momentum of an 7.2- kgkg bowling ball rolling at 3.0 m/sm/s ? express your answer to two significant figures and include the appropriate units.
Answer: 20.16kg.m\s
Explanation: Here is given that M= 7.2 Kg, and v= 2.8 m/s So, momentum ,P=M. v = (7.2*2.8) = 20.16 Kg. m/s, which is a number having four significant digits. but we have to provide the answer in two significant digits. Therefore, to convert
Q3. A 3500 kg van hits a 2500 kg car with a force of 1480 N [E].
a) What force does the van experience?
The force experience by a van of 3500 kg when it hits a car of 2500 kg with a force of 1480 N is 1057.14 N.
What is force?Force can be defined as the product of mass and acceleration.
To calculate the force experienced by the van, we use the formula below
Formula:
f = mF/M..................... Equation 1Where:
M = Mass of the vanm = Mass of the carf = Force on the carF = Force on the vanFrom the question,
M = 2500 kgm = 3500 kgF = 1480 NSubstitute these values into equation 1
f = (2500×1480/3500)f = 1057.14 N.Hence, the force experience by the van is 1057.14 N.
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PLEASE HELP 50 POINTS AND MARKED AS BRAINLIEST
A spring scale is a device that uses a spring with a known spring constant to measure the weight of objects. You have a spring scale with a spring constant of 13 Nm. How much will the spring stretch when a 12-N weight is hung from one end?
Answer:
It would stretch about 6 inches, but it depends on the metal.
Explanation:
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Please I need at least 3 differences between high and low specific heat capacity I will mark you brainliest
===========================================================
| Specific Heat Capacity |"What Is It and What Are Some Differences Between High and Low Specific Heat Capacity?"
===========================================================
Hello! Today, let's begin with discussing what specific heat capacity is.
"What is Specific Heat Capacity?"
It is the amount of heat per unit required to increase the temperature by 1°C. Most of the time, specific heat is used for determining the processing temperatures as well as amount of heat that is necessary for processing. It is helpful in differentiating between that of two polymeric composites.XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
"What is High and Low Specific Heat Capacity?"
Now, this specific situation is asking a question regarding the differences between high and low specific heat capacity. When the specific heat capacity is high, this means that it takes more energy to either increase or decrease its temperature. Take water for instance; water has a high specific heat, meaning it will take more energy to increase the temperature of the liquid compared to other substances. That's why when you are boiling water in a pot, the water needs time to absorb heat before it begins to boil at the increase in temperature.On the other hand, when the specific heat capacity is low, this means that it doesn't take as much energy to increase or lower as high SHC does. For example, any metals such as iron have low specific heat. It doesn't take long for the substance's energy to increase the temperature. The same thing occurs when you place a spoon in a cup of hot coffee. It is said that even other substances like sand have relatively low specific heat.______________________________________________________
Hopefully this sort of helps you have a better understanding of what specific heat is, as well as the differences between that of high and low specific heat capacity. Also, if this is a write your answer response, it is better to dive further into your studies and notes regarding this topic so you can properly answer the question and follow the guidelines. Anyways, I wish you the best of luck on your assignment. Thanks for reading!
A student placed two magnets 5cm apart for a lab experiment. after completing two trials of the experiment, she leaves. when she returned, she noticed her magnets were moved just a little but decided to continue working with them anyway. after trying her 3rd trial of the lab, her magnets did not work. what happened?
The third trial of the lab experiment did not work out because in most probability the magnets lost their magnetic properties or got demagnetized.
Demagnetization is the phenomenon by which magnets lose their magnetic property or are weakened. We see that the magnets moved just a little after she left them after the first two trials of her experiment. It is possible that because the magnets moved a little they repelled each other and this only happens when like poles face each other.
The demagnetizing field of one magnet will affect the other and vice versa because their magnetic fields are opposite in direction. Consequently, magnetic field strength weakens gradually. Thus the magnets did not work after the 3rd trial.
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Can someone help me pls, i have like another 3 questions like this :')
use the values from practice it to help you work this exercise. what if an additional mass is attached to the ball? how large must this mass be to increase the downward acceleration by 35%?
If the additional mass is attached to the ball, it must be large enough to increase the downward acceleration by 35%.
What is acceleration?
An object is said to have been accelerated if its velocity changes. An object's velocity can change depending on whether it moves faster or slower or in a different direction. A falling apple, the moon orbiting the earth, or a car stopped at a stop sign are a few instances of acceleration. Through these illustrations, we can see that acceleration happens whenever a moving object changes its direction or speed, or both. Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is either the first derivative of velocity in relation to time or even the second derivative of position in relation to time.
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PLEASE HELP ME!
What holds the protons together in the nucleus?
A. electrons
B. anions
C. cations
D. neutrons
Answer:
neutrons.........................
if an aircraft is in sluf and we know the weight of the aircraft, w, the wing area, s, the density and velocity, what else must we know to determine the coefficient of lift of the aircraft?
To determine the coefficient of lift of an aircraft in sluf, we must also know the angle of attack.
What is aircraft?
A vehicle that can fly by gaining support from of the air is called an aircraft. It uses either static lift, dynamic lift from an airfoil, or, in a few rare instances, the downward thrust from jet engines to counteract the force of gravity. Aeroplanes, helicopters, airships (including blimps), gliders, paramotors, as well as hot air balloons are a few examples of common types of aircraft. Aviation refers to the human activity which surrounds aircraft. Aeronautics is the study of aviation, which includes creating and building aircraft. Unmanned aerial vehicles may well be remotely controlled as well as self-controlled by onboard computers, unlike crewed aircraft that have an onboard pilot. Different factors, including lift type, aircraft propellant, usage, and others, can be used to categorise aircraft.
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a plane, diving with constant speed at an angle of 53.0o with the vertical, releases a projectile at an altitude of 730 m. the projectile hits the ground 5.00s after release. a) what is the speed of the plane?
The speed of the plane = 202m/s
What is speed ?
Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Speed is a scalar quantity since it just has a direction and no magnitude.
To make equations like Eq. immediately applicable, we accept the textbook's use of positive direction options. Directly beneath the release point, at ground level, is the coordinate origin.. The coordinate origin is at ground level directly below the release point. We write θo = −37.0degree
for the angle measured from +x, since the angle φo = 53.0 degree
measured in the problem is in the -y direction. The graphic below depicts the problem's basic configuration.
(A) The plane's speed at the point of release determines the projectile's initial speed. Given
that y0 = 730m and y=0 at t=5.00s,
to find v : y−yo =(v sinθo)t− 1/2gt^2 ⇒0.730m=v
sin(−37.0 degree )(5.00s)− 1/2(9.80m/s^2 )(5.00s) ^2
which yields v =202m/s.
the speed of the plane = 202m/s
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a 0.145 kg baseball is thrown with an intitial volecity of 40 m/s. it is hit with a 0.95 kg bat swung at 35 m/s. find the speed of the baseball after this elastic collision
The speed of the baseball after this elastic collision is 35.825 m/s
What is an elastic collision?In an elastic collision is one in which no net loss of kinetic energy in the system is observed after collision. Elastic collisions conserve, momentum and kinetic energy. It works on the basis of the law of conservation of momentum. This may be explained by following equation:
Pₙ = P₁ + P₂
mₙvₙ = m₁v₁ + m₂v₂
Where, Pₙ = final momentum
mₙ = total mass of the system
vₙ = final velocity of the system
For the given question:
(m₁ + m₂)vₙ = m₁v₁ + m₂v₂
(0.145 + 0.95)vₙ = (0.145 × 40) + (0.95 × 35)
1.09 vₙ = 5.8 + 33.25
1.09 vₙ = 39.05
vₙ = [tex]\frac{39.05}{1.09}[/tex]
vₙ = 35.825 m/s
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a simple pendulum has a period t on the earth. if it were used on planet x, where the acceleration due to gravity is 3 times what it is on earth, its period would be
If a simple pendulum has a period t on the earth. if it were used on planet x, where the acceleration due to gravity is 3 times what it is on earth, the time period is 0.577 times the time period on earth.
What is the frequency?
It can be defined as the number of cycles completed per second. It is represented in hertz and inversely proportional to the wavelength.
As given in the problem a simple pendulum has a period t on the earth. if it were used on planet x, where the acceleration due to gravity is 3 times what it is on earth,
Time period of simple pendulum = 2π √( l / g)
= 2π √( l / 3g)
Thus, the time period is 0.577 times the time period on earth.
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Which theoretical physicist, cosmologist, and author said, "however difficult life may seem, there is always something you can do and succeed at"?.
Stephen Hawking, speaking at the opening of the 2012 London Paralympics games, said, “There is no such thing as a standard run-of-the mill human being and however difficult life may seem but there is always something you can do, and succeed at.”
Stephen Hawking was born on 8th January, 1942, Oxford, England. He died on March 14, 2018, Cambridge. He was that theoretical physicist whose theory of exploding black holes drew upon both relativity theory and quantum mechanics. He had also worked with space-time singularities.
Hawking was also awarded the US Presidential Medal of Freedom in year 2009.
At the age of 21, Hawking was diagnosed with amyotrophic lateral sclerosis that gradually paralyzed him. Stephen Hawking had an estimated IQ of 160. According to Healthline, 68% of people have an IQ that ranges between 85 and 115.
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a 21.6 gram arrow is shot through a 7.5 cm apple. if the arrow enters the apple at 35.5 m/s and emerges with a speed of 25.3 m/s in the same direction, what is the magnitude of the force with which the apple has resisted the arrow? (assume force is exerted only on the tip of the arrow)
The magnitude of the force with which the apple has resisted the arrow is 88.06 Newton.
Using, work-energy theorem,
According to which, the work done by the all the forces on the body is equal to the change in kinetic energy of the body.
So, we can write,
Work done = ∆KE
We know,
Work done = force × displacement
The force is the resistive force by the apple and the displayed is given to be 0.075 meters.
So, we can write,
F(0.075) = 1/2M(V²-U²)
Where,
M is the mass of apple,
V is final velocity,
U is initial velocity.
Putting all the values,
F(0.075) = 1/2(0.0213)((25.3)²-(35.5)²)
Solving further,
F = 88.06 Newton
The resistive force of the apple is 88.06 Newton.
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can someone help me !!
Answer: (A)
Explanation: the answer will be A because a force is acting on the block from the right side to the left side and another from the bottom upwards. So the two forces together will make the block move diagonally to the left. There is no force in the opposing direction of these two force. B is wrong as there is no force acting on the left side. C is wrong as there is no force acting downward. D is wrong as there is no force acting to the right and from above
a 100 n box is at rest on a tabletop where the coefficients of friction are 0.4 static and 0.3 kinetic. what force of friction will be present if you push on it horizontally westward with 35 n? give magnitude and direction of friction force.
A 100 n box is at rest on a tabletop where the coefficients of friction are 0.4 static and 0.3 kinetic. static force of friction will be present if you push on it horizontally westward with 35 N.
W = 100N - Ms = 0.4 Mi = 0.3
F = 35N
F = W = 100N
Now, limiting friction is
Fl = mi. N
or fi = 0.4x 100 = 40N
Here, limiting friction is greater than the applied force so, box will not move and remain at rest.
so, here only static friction will work.
fs = F = 35N
fs = 35N
fs = 35N static friction force
What is static friction force?
Static friction is the force that prevents an object from moving along a path. When two fabrics slide over each other, this friction occurs. All around us is friction. For example, when we walk, our feet touch the floor.
When we move, the backward movement of our foot puts pressure on the floor while the other foot moves forward. Furthermore, when we apply this frictional force to the floor, the floor beneath our feet exerts an equal and opposite force. This is consistent with one law of motion.
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HELP ASAP!!
What has more momentum in a collision, a fly or a Corvette?
According to Newton’s third law, the force of a fly on the windshield of a Corvette is equal to the force of the Corvette’s windshield on the fly, only in the opposite direction. Why then does the fly get crushed and the Corvette doesn't even feel the collision? This is where momentum comes into play. Momentum of an object is its mass in kilograms times its velocity in m/s. The mass of the fly is 0.2 kilograms and it’s flying at a velocity of 11 meters per second. The Corvette has a mass of 1,518 kilograms and is driving with a velocity of 27 m/s in the opposite direction. During the collision, the Corvette’s mass times velocity will equal a greater momentum because it has significantly more mass and a much greater velocity than the fly.
ANSWER BELOW USING THE RACES STRATEGY
Answer:
convert not telling why but it was the answer I gave it says it was right
Momentum of an object is directly proportional to the mass of the object. The corvette has greater mass and thus more momentum it gains than the little fly.
What is momentum:Momentum of an object is the product of mass and velocity. Thus momentum is directly proportional to the mass and velocity of the object. This relation of momentum with mass and velocity is defined by Newton's law of motion.
According to Newton's third law of motion every reaction has an equal and opposite reaction. Thus if apply a force on object it may return a force but that will depend on the mass and direction.
When the fly hit the moving corvette, the greater impulse will be for the fly since it is very less in mass compared to that of the corvette. The momentum of corvette is higher because velocity and mass of the corvette is significantly higher than that of fly.
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