The friction force required to keep the car from sliding is 9000N.
Calculation-mass of car, m = 1000 kg
speed , v = 30 m/s
diameter , d = 0.2 km
r = 100 m
for the car to keep from sliding frictional force is required, ff = m*v^2/r
ff = 1000 * 30^2 /100
ff = 9000 N
the friction force required is 9000 N
What kind of force does an automobile exert on a straightaway?Simply put, an unbanked curve (or turn) is a curve that is flat on the ground (parallel to the horizontal). A force of friction applies to the car as it drives along one of these curves, keeping it rotating in a circular course.
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Roughly what percentage of matter in the universe is identical to the type of matter that comprises the planets and stars
Approximately 27% of everything in the universe is dark matter, with dark energy making up 68%. This means that all the visible matter we can see, including galaxies, stars and planets, only represents 5% of everything that exists.
What is the matter of the universe?The matter of the universe is a complex and ongoing question that scientists are still working to answer. Generally, it is believed that the universe is composed of dark matter, dark energy, and ordinary matter.
Dark energy is thought to be the energy that is causing the universe to expand, while dark matter is an unseen form of matter that is believed to make up about 27% of the universe. Ordinary matter is the form of matter that makes up:
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A simple pendulum has a period of 3 seconds . If the value of ‘g’ is taken as 9.98 ms-2 calculate the length of the pendulum.
Answer: The length of the pendulum is approximately 2.495 meters.
Explanation:
The period of a simple pendulum is the time it takes for the pendulum to swing back and forth through one full oscillation. The period of a simple pendulum is related to the length of the pendulum and the acceleration due to gravity (g) by the formula:
Period = 2 * pi * sqrt(length / g)
In this case, you are given that the period of the pendulum is 3 seconds and the value of g is 9.98 ms-2. You can use these values to solve for the length of the pendulum using the formula above.
Substituting in the values given, you get:
3 = 2 * pi * sqrt(length / 9.98)
Solving for length, you get:
length = (3 / (2 * pi))^2 * 9.98
= 0.5^2 * 9.98
= 0.25 * 9.98
= 2.495
Therefore, the length of the pendulum is approximately 2.495 meters.
After falling for 5.5 seconds, what would be the final velocity of the object?
(Picture Provided)
Please I need help on this!
The first one is based on the fundamental definition of velocity that employs the widely used velocity equation.
What is Final velocity?
The second approach determines the amount of velocity change brought on by acceleration over a given period of time.
Finally, the average velocity formula is used in the third section of the velocity calculator, which may be helpful if you need to examine trips with varying speeds across different distances.
According to the definition of velocity, it is the rate at which an object's position changes over time. Consideration of body motion is one of the fundamental ideas in classical mechanics.
Therefore, The first one is based on the fundamental definition of velocity that employs the widely used velocity equation.
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1. Ivan pulls a sled loaded with logs to his cabin in the woods. He pullsutbiq si
with a force of 800 N at an angle of 20° above the ground.
a. Draw a free-body diagram of the 4 major forces acting on the
sled. Label each force appropriately.
The four major forces acting on the sled and the free-body diagram of the 4 major forces acting on the sled is attached below:
The force of gravity pulling down on the sled and logs (labeled as "Fgrav").The force of friction acting against the sled's movement (labeled as "Ffrict").The force of Ivan pulling the sled (labeled as "Fpull").The force of normal acting on the sled (labeled as "Fnorm").What is a free body diagram?In physics and engineering, a free body diagram (FBD; also called a force diagram) is a graphical representation used to visualize the forces, moments, and resulting reactions applied to a body in a given state. expression. It represents a body or connected bodies that includes all applied forces, moments, and reactions acting on the body. A body can consist of several internal elements (such as a truss), or it can be a compact body (such as a beam). A series of free-body and other diagrams may be required to solve complex problems. A free body diagram consists of:
A simplified version of the body (often a period or box).Forces are represented as straight arrows pointing in the direction they act on an object.A moment is represented as a curve with a single arrow or as a vector with two arrows pointing in the direction acting on the body.One or more reference coordinate systems.Responses to applied forces are usually indicated by dashes through the stem of the vector.To know more about free body diagram, visit:
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For the circuit in the attached plot, find the energy stored in the capacitor under DC conditions. O 30 mJ O 3 mJ O 0.045 mJ O 0.005 mJ
The energy stored in the capacitor is 0.045 mJ. Under DC conditions, the capacitors will be open-circuited.
What is the formula for energy stored in a capacitor?Energy stored in a capacitor can be calculated by
E = ½ CV²
Where
E = energy (J)C = capacitance (F)V = voltage (V)The picture of circuit in the attached plot is in the attachment.
Find the energy stored in the capacitor under DC conditions!
We have
R₁ = 10 ΩR₂ = 20 ΩC = 0.1 μFI = 3 AUnder DC (Direct Current) conditions, the capacitors will be open-circuited. It means that there is no current will flow through the 20 Ω resistor. So, I across the 10 Ω resistor is the same as I source.
See the picture below in the attachment!
The voltage across the 10 Ω resistor is
V = IR
V = 3(10)
V = 30 V
The voltage across the capacitor is the same as the voltage across the 10 Ω resistor.
Vc = V = 30 V
The energy stored would be
E = ½ C Vc²
E = ½ (0.1)(10⁻⁶)(30)²
E = ½ (10⁻⁷)(900)
E = 450 × 10⁻⁷
E = 0.045 × 10⁻³
E = 0.045 mJ
Hence, the energy stored in the capacitor under DC conditions is 0.045 mJ. The correct option is (c).
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a certain mass of neon is in a rigid steel container. the samew mass og helium is added, what happens to pressure
According to the question, the container's pressure increases but it doesn't double.
This word pressure, what is it?By dividing the force by the area, pressure is calculated. the use of force to oppose another force. a surface's area divided by a force applied over it. the force that the atmosphere's weight causes to be applied.
What is a good instance of pressure?Holding a knife against a fruit piece will demonstrate pressure in an easy way. It won't cut surface of the fruit if you press the flat side of a knife against it. A sizable area is affected by the force (low pressure).
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What factors interact with one another to keep a satellite in orbit. Describe two physics concepts and the effects each has on satellite orbit.
Two physics concepts that interact with one another to keep a satellite in orbit are the gravitational force and the centrifugal force.
The apparent outward force that a rotating mass experiences is known as centrifugal force. Imagine a ball being whirled around on a string or the outward motion you experience when driving around a curve. Since the system is not rotating in an inertial frame, there is no outward acceleration. The ball or your body just continues to go in the same direction that they did at first. However, they seem to be accelerating away in the rotating reference frame of the string or the car. The direction of centrifugal force is always outward and away from the axis because the Earth revolves around a fixed axis. Thus, in the equator and at the poles of the Earth, it is the opposite of the direction of gravity.It is zero at the poles of the Earth.
One of the four fundamental forces of the universe is gravity. A centripetal force is necessary in nonlinear motions like the planetary motion. In the study of disciplines like astronomy, physics, space exploration, cosmology, and many others, both of these forces are crucial.
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G Two tiny particles having charges +20. 0 μC and -8. 00 μC are separated by a distance of 20. 0 cm. What are the magnitude and direction of electric field midway between these two charges? (k = 1/4πε0 = 9. 0 × 109 N ∙ m2/C2)(calculate separately electric field due to each charge at that point, next taking into account direction of each field find net electric field)
The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.
The magnitude of the electric field due to the positive charge at the midpoint is:
E = k * q / r^2
E = (9.0 x 10^9 N * m^2/C^2) * (20.0 x 10^-6 C) / (0.20 m)
E = 4.5 x 10^9 N/C
The magnitude of the electric field due to the negative charge at the midpoint is:
E = k * q / r^2
E = (9.0 x 10^9 N * m^2/C^2) * (-8.00 x 10^-6 C) / (0.20 m)
E = -1.8 x 10^9 N/C
The direction of the electric field due to the positive charge is away from the charge, and the direction of the electric field due to the negative charge is towards the charge.
To find the net electric field, we add the vectors of the two electric fields. Since the vectors are in opposite directions, we subtract the negative vector from the positive vector.
E_net = E_positive + E_negative
E_net = (4.5 x 10^9 N/C) + (-1.8 x 10^9 N/C)
E_net = 2.7 x 10^9 N/C
The magnitude of the net electric field is 2.7 x 10^9 N/C, and the direction is away from the positive charge and towards the negative charge.
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A child whirls a ball at the end of a rope, in a uniform circular motion. Which of the following 19. statements is NOT true? (A) The radius of the circle remains constant the entire time the ball is moving in a circular path. (B) The direction of the tension exerted by the string on the ball is directed towards the center of the Cular path. The magnitude of the ball's acceleration is directly proportional to the length of the string. The velocity of the ball is constant the entire time the ball is moving in a circular path.
The velocity of the ball is constant the entire time the ball is moving in a circular path at the end of a rope, in a uniform circular motion.
Hence, Option D is correct.
A particular kind of motion in which an object moves in a circle at a fixed speed is known as uniform circular motion. Any point on a propeller, for instance, that is rotating at a consistent speed is doing uniform circular motion. Other examples include the watch's second, minute, and hour hands.Because velocity depends on the direction of travel, and in circular motion the object's direction changes at each point, for a body moving in uniform circular motion, the speed the object reaches will remain constant, not the velocity. Acceleration will remain constant as long as speed doesn't change.To know more about Circular motion here
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How do you prevent latency problems?
Latency problems can be prevented by not downloading multiple items at a time, not running multiple applications simultaneously, scanning for viruses, and not deleting the cache.
What causes latency problems?One of the principal causes of network latency is distance, specifically the distance between client devices making requests and the servers responding to those requests. Customers demand to communicate with technology in real time without any delays, hence low latency is essential. Users may stop using a platform altogether and switch to another application permanently if there are problems with severe latency and time delays.
How is latency measured?In milliseconds, latency reveals the strength of your connection within your network. For gaming, anything with a latency of 100ms or less is fine. However, the ideal range is 20–40 ms.
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Jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline Which statement best describes the effect this had on the springs? A The springs maintained the same amount of displacement B The springs stretched to double the original displacement, C The spring displacement reduced to half of the original displacement
B. The springs stretched to double the original displacement, is the the statement that best describe the effect this had on the springs.
What is displacement?The displacement is the shortest distance in geometry and mechanics between the initial and final positions of a point P. From the starting position to the ending position of the point trajectory, it measures the length and direction of the net motion, or total motion, in a straight line. A displacement can be discovered by using the translation that joins the starting point and ending point.
Another way to define a displacement as a relative position is the relationship between a point's final position, or xf, and its starting position, or xi (resulting from motion). The corresponding displacement vector can be defined by the difference between the starting and final positions:
[tex]$ s=x_{\textrm {f}}-x_{\textrm {i}}=\Delta {x}}$[/tex]
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If the separation is decreased to 1.90 mm , what is the energy now stored if the capacitor was disconnected from the potential source before the separation of the plates was changed
When the distance between the plates is decreased to 1.90 mm, the capacitance of the capacitor will increase and the energy stored in the capacitor will also increase.
However, since the voltage across the plates is not given, it is not possible to calculate the energy stored in the capacitor after the separation of the plates has been changed
The below equation gives the capacitance of a parallel-plate capacitor.
C = ε * A / d
Where ε is the dielectric constant of the material between the plates, A is the area of the plates and d is the distance between the plates.
The energy stored in a capacitor is given by the equation:
Energy = 1/2 * C * V^2
where V is the voltage across the plates and C is the capacitance
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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 [tex]7.3 * 10^{-5} rad/s[/tex]
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 :
[tex]w =2\pi /86400\\ w =7.3*10^{-5} rad/s[/tex]
Thus, [tex]7.3 * 10^{-5} rad/s[/tex] is the correct answer.
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What is the difference between static stretching and passive stretching?
The difference between static stretching and passive stretching is that static stretching is done independently by moving the body, while passive stretching is done using outside assistance.
Stretching is the activity of carrying out movements aimed at flexing or relaxing stiff body parts. Stretching is done to avoid muscle injury because it has benefits such as flexibility, range of motion, circulation, and range of motion of the joints.
There are several types of stretching to relax the body, two of which are static stretching and passive stretching. Static stretching is a movement that is done slowly on the muscles until there is tension and pain. While passive stretching is stretching that is done with outside help such as using a tool or asking for help from others to relax and flex certain muscle parts. So the difference between the two stretches is that static stretching is done independently by moving the body itself, while passive stretching is done using outside help.
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How does kinetic energy play a role in phase change?
During phase shift, the substance's molecules' average kinetic energy remains constant.
How does kinetic energy affect phase change?Simply put, molecules move more quickly as kinetic energy rises. Nevertheless, molecules change phases when potential energy rises. The molecule changes phases as a result of an increase in potential energy.
In a phase change, matter moves from one state to another either by gaining energy through heat and entering a more energetic state, or by losing energy through heat and entering a state with lower energy.
The energy supplied during phase change is only used to separate the molecules; none of it is used to boost the kinetic energy of the molecules. Therefore, since the molecules' kinetic energy is constant, its temperature won't increase.
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A 45 g golf ball collides elastically with an identical ball
at rest and stops. If the second ball's final speed is
3.0 m/s, what was the first ball's initial speed?
When a satellite is a distance R from the center of the Earth, the force of gravity on the satellite is F. What is the gravitational force on the satellite when its distance from the center of the Earth is 3R
When a satellite is 3R from Earth's center, its gravitational force is equal to F/9.
What do you mean by gravitational force?Any pair of mass-containing objects will gravitationally pull toward one another. It mentions the gravitational force. The force will always applied along the line joining the two mass in the direction of the second mass, based on the formula F=Gm1m2r2.
Given that the foece on the satellite due to earth gravity is F
(At a distance R from center of Earth)
Initial separation between the satallite and Earth is R
Final separation between the satallite and Earth is 3R
The force on the satallite due to earth is
F= [tex]\frac{GMm}{r^{2} }[/tex]
Here M is mass of earth and m is mass of satellite
if the distance between satellite and earth changed to 3R
the force on the satellite due to earth is
F'=[tex]\frac{GMm}{3R^{2} }[/tex]
F'=[tex]\frac{GMm}{9R^{2} }[/tex]
F'=F/9
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A negative charge of -0. 0005 C exerts an attractive force of 9. 0 N on w second charge that is 10 m away. What is the magnitude of the second charge?
The second charge is 0.0002c in size. For a negative charge of -0. 0005 C, a second charge that is 10 metres away experiences an attracting force of 9.0 N.
In science, the issue of magnitude is undoubtedly of utmost significance. Magnitude typically refers to a size or a distance. We can relate magnitude to the movement by comparing the size and motion speed of the thing. A force in physics is an effect that has the power to alter an object's motion. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a condition of rest).
q2 = 9*(10)^2/(9*10^9*0.0005)
q2 = 0.0002C
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Frank is pulling on a rope to drag his backpack to school across the ice. He pulls upwards and rightwards with a force of 26.7 Newtons at an angle of 17 degrees above the horizontal to drag his backpack a horizontal distance of 129 meters to the right. Determine the work done upon the backpack. in joules.
The work done upon the backpack is 3293 Joule.
What is force?
The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
A spring balance can be used to calculate the Force. The Newton is the SI unit of force.
The work done upon the backpack is = applied force × displacement × cosα
= 26.7 N × 129 meters × cos17°
= 3293 Joule.
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A 26 kg crate initially at rest on a horizontal floor requires a 70 N horizontal force to set it in motion. Find the coefficient of static friction between the crate and the floor.
The coefficient of static friction between the crate and the floor is calculated to be 0.275.
The frictional force when an object moves on the horizontal surface is given as,
Ff = μ N
where, N is the normal force
μ is the coefficient of static or kinematic friction
If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal force are equal in magnitude.
N = W = m g
Given that,
Mass of the crate = 26 kg
Frictional force Ff = 70 N
Weight of the crate = 26 × 9.8 = 254.8 N
The normal force is 254.8 N.
The coefficient of static friction μ = Ff /N = 70/254.8 = 0.275
Thus, the coefficient of static friction between the crate and the floor is 0.275.
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Freight trains can produce only relatively small acceleration and decelerations. a. What is the final velocity (in m/s) of a freight train that accelerates at a rate of 0.050 m/s2 for 8.0 min, starting with an initial velocity of 3.0 m/s
The final velocity of the freight train is 27 m/s that accelerates at a rate of 0.050 m/s2 for 8.0 min, starting with an initial velocity of 3.0 m/s.
Information given:
Acceleration is 0.050 m/s²
Time is 8.0 min
Initial velocity is 3.0 m/s
We apply the resulting equations for rectilinear motion at constant acceleration to this problem.
a = (v - u)/t
where the,
a is acceleration
u and v are the initial and final velocities, respectively
s is the distance
t is the time
Substituting the values in the equation:
The solution is as follows:
a = (v - v₀)/t
0.050 m/s² = (v - 3 m/s)/(8 min * 60 s/1 min)
Time: 480 sec
Solving for v,
24=v-3
v=27 m/s
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You weigh 600 N.
What would you weigh if the Earth were
seven times as massive as it is and its radius
were three times its present value?
Answer in units of N.
Your weight would be 85.7N if the Earth were seven times as massive as it is and had a radius three times that of today since the gravitational pull is reduced by seven times with an increase in radius.
Gravitation is a fundamental interaction in physics that produces attraction between all objects with mass or energy. Of the four fundamental interactions, gravity is by far the weakest, being about ten times less than the strong interaction. A body's mass is a fundamental characteristic. Before the discovery of the atom and the field of particle physics, it was generally thought to be tied to the amount of matter in a physical body. x = 600N/7, x = 85.7N
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A 1. 25 in. By 3 in. Rectangular steel bar is used as a diagonal tension member in a bridge truss. The diagonal member is 20 ft long, and its modulus of elasticity is 30,000,000 psi. If the strain in the diagonal member is measured as 0. 001200 in. /in. , determine:
The length of the diagonal member is 20 ft, and if its modulus of elasticity is 30,000,000 psi. If the strain in the diagonal member is measured as 0. 001200 in, the elongation of the member is 29 inches.
What is a truss?A truss is constructed of a number of components, such as beams, connected at nodes to create a rigid framework. According to engineering definition, a truss is a structure that "consists of merely two-force members, where the members are placed so that the assembly as a whole behaves as a single entity."
A truss is a piece of furniture comprised of components arranged into linked triangles that function as a single unit. Trusses are most typically used in towers, roofs, and bridges. If a truss' members essentially lie on a single plane, it is referred to as a plane truss.
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Two objects with negative charges of 6.2 nC each are separated by 0.3 m. What is the size and direction of theforce between the two charges?
A negatively charged object is one that has more electrons than protons.
What is the negative charge?A negative charge is present when an object has more electrons than protons. An atom has a positive charge when there are more protons than electrons in it. The charges of protons are positive while those of electrons are negative. The coulomb is used to measure charge (C).
The opposite of a charge's attraction is the opposite of its repellency. Therefore, a positive charge attracts a negative charge, whereas two negative charges repel one another. Along the boundary between the two charges, attraction or repulsion occurs.
Along the line that connects the centres of the two objects, the force is applied in that direction. Coulomb's law results in a negative value if the two charges have opposing signs. As a result, the force separating the particles is an attractive force.Coulomb's law produces a favourable outcome if the two charges have the same signs.
Therefore, the answer is 12.4 c positive.
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Two objects with negative charges of 6.2 nC (Coulomb) each are separated by 0.3 m. the size and direction of the force between the two charges is 3.8387038*10^12 N and toward left.
What is Coulomb?In the International System of Units, the unit of electric charge is the coulomb. It is equivalent to 5 1027/801088317 elementary charges in the current version of the SI, as well as the electric charge given by a 1 ampere continuous current in 1 second, e.Solution:
Given :
Two objects with negative charges of 6.2 nC (nano coulomb ) each.
Separation= 0.3 m.
We will use the following Coulomb’s Law.
F = k*|q1| |q2|/r2 ∵ where k = 8.9876 × 109 N·m2
Putting the values, we get
F = 8.9876 × 109*|6.2| |6.2|/0.3^2
F=3.8387038*10^12 N
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If we decided to make the length of one day equal to the time that it took the earth to complete a single revolution about its axis, what would change?
Our days would be a little bit shorter, and as a result, the sun would rise and set each day at later and later hours.
How long does it take the Earth to make a full rotation?Another method to determine how long a day is is to time how long it takes a planet to complete one full spin. A sidereal day is what is being described here. On Earth, a sidereal day is almost exactly 23 hours and 56 minutes long. The sidereal day occurs after every 360-degree rotation of the Earth. It takes 23 hours, 56 minutes to do that. When Earth rotates slightly more and the sun is at the same location in the sky as it was 24 hours earlier, the solar day—the one that people count in the calendar—occurs.
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Think of another topic in science that would lend itself to creating a word web. What is the main topic and list six subtopics you would include under it. You could use a whole subject area like chemistry or the desert. Pick a topic you know something about. Help me with this please
The study of computers and computing, encompassing the theoretical and algorithmic underpinnings, hardware and software, and applications for information processing, is known as computer science.
Uses and advantages:The study of algorithms and data structures, computer and network design, the modelling of data and information processes, and artificial intelligence are all included in the field of computer science. Since mathematics and engineering provide some of the underpinnings for computer science, it integrates concepts from those fields as well as queueing theory, probability and statistics, and electrical circuit design. As new algorithms, information structures, and computer architectures are conceptualised, designed, measured, and improved in computer science, extensive use of hypothesis testing and experimentation is also used.
Computer science is regarded as one of five distinct but related fields, including computer engineering, information systems, information technology, and software engineering. This family has come to be known collectively as the discipline of computing.
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Which of the following is NOT considered crucial for life to exist on some world?
A. Liquid water
B. At atmosphere
C. Source of nutrients
D. Source of energy that can be used by life
Answer
Atmosphere is not required in some world
Due to the surface makeup and the product that spilled, what is the direction most hazardous materials will spread based on their viscosity
Due to the surface makeup and the product that spilled, Downhill/Downwind is the direction most hazardous materials will spread based on their viscosity.
The viscosity of a fluid (liquid or gas) is its resistance to a change in form or movement of neighbouring sections relative to one another. Viscosity signifies resistance to flow. The SI unit is poiseiulle (PI).
It relates to the colloquial sense of "thickness" in liquids: syrup, for example, has a higher viscosity than water. The strength of the compensatory force is related to the viscosity of the fluid in a tube with a constant rate of flow.
In general, viscosity is affected by the condition of a fluid, such as temperature, pressure, and rate of deformation. However, in certain circumstances, the reliance on some of these features is minor. The viscosity of a Newtonian fluid, for example, does not vary appreciably with the rate of deformation. Only at very low temperatures is zero viscosity (no resistance to shear stress) observed in superfluids; otherwise, the second law of thermodynamics requires all fluids to have positive viscosity.
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What is the difference between static and dynamic flexibility ?
Static stretches are those in which you remain in a single position—standing, sitting, or lying still—for up to 45 seconds. Dynamic stretches are regulated motions that get your ligaments, muscles.
Stretches that are static versus those that are dynamic:Movement is included into dynamic stretches, such as lunges with a torso twist. As opposed to dynamic stretches, static stretches include holding a stretched position for a while. Stretches that are static include the triceps stretch and the butterfly stretch.
A swimmer might, for instance, circle their arms before entering the water. A series of movements to get the body moving before engaging in any kind of exercise can also be considered dynamic stretches.
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A car accelerates uniformly from rest to 28.4 m/s in 8.26 s along a level stretch of road. Ignoring friction, determine the average power required to accelerate the car if (a) the weight of the car is 8.55 x 103 N, and (b) the weight of the car is 1.52 x 104 N.
According to the given statement (a) power in this case will be P=38,933.2428 Watts (b) power in this case will be P=91,788.4599\ W
Step: 1Average power is defined as the work done per unit time.
Work done can be found by change in kinetic energy.
[tex]W=Kf-Ki\\\\=\frac{1}{2}\mathrm{\ }m(Vf)^2-\frac{1}{2}\mathrm{\ }m(Vi)^2\\\\\Rightarrow\frac{m}{2}\left\{(28.4)^2-(0)^2\right\}\\\\=403.28\mathrm{\ }mJ oules.[/tex]
[tex]P=\frac{W}{t}=\frac{403.28\ m}{6.68}=60.37125mWatts.[/tex]
Explanation: Please refer to solution in this step.
Step: 2a.) mass of the car will bemass [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.644897\times{10}^3Kg[/tex]
using above equation we can find the power, [tex]P=60.37125\left(0.644897\times{10}^3\right)[/tex]
[tex]=38,933.2428 Watts[/tex]
b.) mass of the car will be [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.152040\times{10}^4Kg[/tex]
using above equation we can find
the power, [tex]P=60.37125\left(0.152040\times{10}^4\right)=91,788.4599 Watts[/tex]
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