Answers
Answer:
A
Explanation:
The general equation which represents an exothermic reaction is :
reactants - energy → products
This is because on undergoing an exothermic reaction, heat energy is released, which means that the initial energy of the reactants is lost (subtracted).
Related Questions
A tree limb is blown loose from a tree during a storm. As it falls, it gains
speed. Which type of energy is the tree limb gaining as it falls?
O A. Kinetic energy
B. Gravitational potential energy
O C. Nuclear energy
OD. Light energy
Answers
Answer:
B Gravitational potential energy
Explanation:
If you pull with a constant force of 400n , how much mechanical work does it take to pull pinball launcher back 0.2meters
Answers
If you pull with a constant force of 400 N for 0.2 meters, then the work done will be equal to 80 J.
What is Work?In physics, the word "work" involves the measurement of energy transfer that takes place when an item is moved over a range by an externally applied, at least a portion of which is applied within the direction of the displacement.
The length of the path is multiplied by the element of a force acting all along the path to calculate work if the force is constant. The work W is theoretically equivalent towards the force f times the length d, or W = fd, to portray this concept.
As per the given information in the question,
Force, f = 400 N
Displacement, d = 0.2 meters
\(Work done(W)=Force(f)*Displacement(d)\)
W = 400 × 0.2
W = 80 J.
To know more about Work:
https://brainly.com/question/13662169
#SPJ1
A motorcycle, travelling cast, starts from rest, moves in a straight line with a constant acceleration and covers a distance of 64 m in 4 s.Calculate a) Its acceleration b) Its final velocity c) At what time the motorcycle had covered half the total distance d) What distance the motorcycle had covered in half the total time.
Answers
The motorcycle had covered a distance of 16 meters in half the total time.
a) To calculate the acceleration, we can use the formula:
a = (v - u) / t
where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.
Given:
u = 0 m/s (initial velocity)
v = ? (final velocity)
t = 4 s (time)
s = 64 m (distance)
Using the equation of motion:
s = ut + 1/2at^2
We can rearrange the equation to solve for acceleration:
a = 2s / t^2
a = 2(64) / (4)^2
a = 128 / 16
a = 8 m/s^2
Therefore, the acceleration of the motorcycle is 8 m/s^2.
b) To find the final velocity, we can use the formula:
v = u + at
v = 0 + (8)(4)
v = 32 m/s
Therefore, the final velocity of the motorcycle is 32 m/s.
c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:
s = ut + 1/2at^2
32 = 0 + 1/2(8)t^2
16 = 4t^2
t^2 = 4
t = 2 s
Therefore, the motorcycle had covered half the total distance at 2 seconds.
d) To calculate the distance covered in half the total time, we use the formula:
s = ut + 1/2at^2
s = 0 + 1/2(8)(2)^2
s = 0 + 1/2(8)(4)
s = 0 + 16
s = 16 m
for such more questions distance
https://brainly.com/question/26550516
#SPJ11
How do I find the mass in kg
Answers
To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.
The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.
When a block is dropped onto a spring with k=28 N/m, the block has a speed of 3.2 m/s just before it strikes the spring. If the spring compresses an amount of 0.11 m before bringing the block to rest, what is the mass of the block?The formula for the spring potential energy is given as follows; PE = (1/2) kx² where k is the spring constant and x is the amount of deformation of the spring. Substituting the values given;PE = (1/2) 28 (0.11)²PE = 0.16972 J. According to the law of conservation of energy, the potential energy stored in the spring at maximum compression is equal to the kinetic energy the block had before it struck the spring;KE = (1/2) mv²where m is the mass of the block and v is its velocity.Substituting the values;0.16972 = (1/2) m (3.2)²m = 0.025 kg or 25 gTherefore, the mass of the block is 0.025 kg or 25 g.For more questions on mass
https://brainly.com/question/86444
#SPJ8
options are 1183420 J730,575 J-452,845 J1183420 Ek730575 Ek-452,845452,845 J-730,575 J-118342p J
Answers
Given:
The initial speed of car is: u = 140 km/h = 140 × 5/18 m/s= 38.889 m/s
The final speed of the car is: v = 110 km/h = 110 × 5/18 m/s = 30.5556 m/s
The mass of the car is: m = 1565 kg
To find:
A) Initial kinetic energy of the car.
B) The final kinetic energy of the car.
C) Work done during the deceleration.
Explanation:
A) The initial kinetic energy of the car can be calculated as:
\(KE_i=\frac{1}{2}mu^2\)Substituting the values in the above equation, we get:
\(\begin{gathered} KE_i=\frac{1}{2}\times1565\text{ kg}\times(38.889\text{ m/s})^2 \\ \\ KE_i=1183417.27\text{ J} \end{gathered}\)The value of initial kinetic energy is very close to the value 1183420 J given in the options. Thus, the initial kinetic energy of the car is 1183420 J.
B) The final kinetic energy of the car can be calculated as:
\(KE_f=\frac{1}{2}mv^2\)Substituting the values in the above equations, we get:
\(\begin{gathered} KE_f=\frac{1}{2}\times1565\text{ kg}\times(30.5556\text{ m/s})^2 \\ \\ KE_f=730576.971\text{ J} \end{gathered}\)The value of final kinetic energy is very close to the value 730575 J given in the options. Thus, the final kinetic energy of the car is 730576 J.
C) The work done in the deceleration of the car is calculated by applying the work energy theorem. Thus, we get:
\(\begin{gathered} W=KE_f-KE_i \\ \\ W=730575\text{ J}-1183420\text{ J} \\ \\ W=-452845\text{ J} \end{gathered}\)The work done in the deceleration of the car is -452845 J. The work done is negative because the car is decelerating.
Final answer:
A) The initial kinetic energy of the car is 1183420 J.
B) The final kinetic energy of the car is 730575 J.
C) The work done in decelerating the car is -452845 J.
2.A 5 Ohm resistor is connected to a 9 Volt battery. How many Joules of thermal energy are produced in 7 minutes?
3.The current in a flashlight powered by 4.5 Volts is 0.5 A. What is the power delivered to the flashlight?
4.If the flashlight in the previous problem is left on for 3 minutes, how much electric energy is delivered to the bulb?
7.A 50 Ohm resistance causes a current of 5 milliamps to flow through a circuit connected to a battery. What is the power in the circuit?
8.How many Joules of electric energy are delivered to a 60 Watt lightbulb if the bulb is left on for 2.5 hours?
Answers
Answer:
Explanation:
2 )
power of an electric device = V² / R where V is volts and R is resistance
putting given data
power = 9²/ 5
= 16.2 J/s
energy produced in 7 minutes
= 16.2 x 7 x 60
= 6804J .
3 ) Power of an electrical device
= V² / R
= V X I where I is current
= 4.5 x .5
= 2.25 W or J/s
4 )
energy used in 3 minutes with power of 2.25 W
= 2.25 x 3 x 60
= 405 J .
7 )
power of a electrical device
= V x I
IR x I where R is resistance .
= I²R
putting given data
power = .005² x 50
= 1.25 x 10⁻³ W .
8 )
Energy used up by a 60 W bulb in 2.5 hours
= 60 x 2.5 x 60 x 60
= 5.4 x 10⁵ J .
why should you see gloves to sprinkle iron filings?
Answers
Answer:
Why can iron filings be used to visualize a magnetic field?
Iron filings are small shavings of a ferromagnetic material. Ferromagnetic (for the purposes of this page, at least) means that they will align themselves with a magnetic field. That being the case, iron filings are an excellent way to display the magnetic field of one or multiple bar magnets.
Explanation:
Which statement accurately describes viscosity
Answers
Answer:
D.
Explanation:
Viscosity is a measure of a fluid resistance to flow. It describes the internal friction of a moving fluid. A fluid with large viscosity resists motion because its molecules makeup gives it a lot of internal friction.
A constant net force F acts on a body during a time interval t. If u and v are the initial and final velocity of the body respectively, the impulse Ft of this force is given by the equation Ft = mv-mu.
Answers
Answer:
Impulse is defined as change in momentum of an object divided by time interval.
at t= 0s
initial velocity = u , initial momentum = mu
at some time t .
final velocity = V, final momentum= mv.
now, change in momentum= ( final - initial) = ( mv-mu)
time interval = (t-0) = t
impulse force = (mv-mu)/ ( t)
Ft = (mv-mu) proved .
this law is known as Newton's second law.
Question 10 of 10
What does a resistor in an electrical circuit do?
A. It attracts electrons, causing them to move faster.
B. It allows only a reduced number of electrons to flow through it.
C. It opposes the flow of electrons.
D. It repels electrons, causing them to return to the battery.
Answers
A resistor in an electrical circuit opposes the flow of electrons by providing resistance to the current. The correct option is C
What is resistor ?A resistor is a passive electrical device that controls or restricts how much electrical current can flow across a circuit in an electronic device.
High electrical resistance materials, such carbon, metal film, or wirewound, are used to make resistors. Ohms (Ω) are used to measure a resistor's resistance. A resistor's resistance determines how much it will fight against the flow of electrical electricity.
Therefore, A resistor's resistance is the degree of opposition it offers. The more resistance present, the more challenging it is for electrons to move across the circuit.
Learn more about resistor here : brainly.com/question/17563681
#SPJ1
A beam of 7.96-MeV protons is incident on a target of _13^27 text(Al). Those that collide produce the reaction shown below.
p + 27 13 Al → 27 14 Si + n 27 14
Si has a mass of 26.986721 u. Neglecting any recoil of the product nucleus, determine the kinetic energy of the emerging neutrons. MeV
Answers
Answer:
The kinetic energy = 2.35Mev
Explanation:
The standard value of the given mass of the elements are:
Mo= 1.007276U
Mn= 1.008665
M(Al)= 26.9815392u
We can now calculate Q
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
Suppose that you want to build a transformer that will convert 70 V power coming in the primary coil to 245 V power going out of the secondary coil. What is the smallest total number of turns (primary turns plus secondary turns) you need to create the transformer
Answers
Answer: 9 Turns
Explanation: primary turns + secondary turns.
The smallest total number of turns (primary turns plus secondary turns) you will need to build the transformer is 9 turns
Data obtained from the question Primary voltage (Vₚ) = 70 VSecondary voltage (Vₛ) = 245 VTotal turns =? How to determine the primary and secondary turns Primary voltage (Vₚ) = 70 VSecondary voltage (Vₛ) = 245 VPrimary turns (Nₚ) =? Secondary turns (Nₛ) =?Nₛ / Nₚ = Vₛ / Vₚ
Nₛ / Nₚ = 245 / 70
Nₛ / Nₚ = 7 / 2
Thus,
Primary turns (Nₚ) = 2 turns Secondary turns (Nₛ) = 7 turnsHow to determine the total turns Primary turns (Nₚ) = 2 turns Secondary turns (Nₛ) = 7 turnsTotal turns =?Total turns = Nₚ + Nₛ
Total turns = 2 + 7
Total turns = 9 turns
Learn more about transformer:
https://brainly.com/question/4370691
A 12 N force and a 21 N force are acting from a single point in opposite directions. What additional force must be
added to produce equilibrium?
Answers
Answer:
We need to add 9 N in the direction of F(1)
Explanation:
We know that in equilibrium the total force is equal to zero, so we have:
\(F_{total}=F_{1}+F_{2}+F_{3}=0\)
F(1) is 12 N
F(2) is 21 N in the opposite direction
F(3) is the additional force.
Then, using these values into the total force equation we have:
\(12-21+F_{3}=0\)
\(-9+F_{3}=0\)
\(F_{3}=9\: N\)
Therefore, we need to add 9 N in the direction of F(1)
I hope it helps you!
Seven little spheres of mercury, each with a diameter of 2 mm. When they coalesce to form a single sphere, how big will it be (i.e. what is its diameter)? How does its surface area compare with the total surface area of the previous Seven little spheres?
Answers
Answer:
The total surface area of the seven little spheres is 1.91 times the total surface area of the bigger sphere.
Explanation:
Volume of a Sphere
The volume of a sphere of radius r is given by:
\(\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3\)
The volume of each little sphere is:
\(\displaystyle V_l=\frac{4}{3}\cdot \pi\cdot 2^3\)
\(V_l=33.51\ mm^3\)
When the seven little spheres coalesce, they form a single bigger sphere of volume:
\(V_b=7*V_l=234.57\ mm^3\)
Knowing the volume, we can find the radius rb by solving the formula for r:
\(\displaystyle V_b=\frac{4}{3}\cdot \pi\cdot r_b^3\)
Multiplying by 3:
\(3V_b=4\cdot \pi\cdot r_b^3\)
Dividing by 4π:
\(\displaystyle \frac{3V_b}{4\cdot \pi}= r_b^3\)
Taking the cubic root:
\(\displaystyle r_b=\sqrt[3]{\frac{3V_b}{4\cdot \pi}}\)
Substituting:
\(\displaystyle r_b=\sqrt[3]{\frac{3*234.57}{4\cdot \pi}}\)
\(r_b=3.83\ mm\)
The surface area of the seven little spheres is:
\(A_l=7*(4\pi r^2)=7*(4\pi 2^2)=351.86\ mm^2\)
The surface area of the bigger sphere is:
\(A_b=4\pi r_b^2=4\pi (3.83)^2=184.33\ mm^2\)
The ratio between them is:
\(\displaystyle \frac{351.86\ mm^2}{184.33\ mm^2}=1.91\)
The total surface area of the seven little spheres is 1.91 times the total surface area of the bigger sphere.
please help me................
Answers
Answer:
4
Explanation:
Cause it literally says
A+B A=3i+4j-k B=5i+6j+2k
Answers
\(\text{Given that,}\\\\\vec A =3 \hat i + 4 \hat j - \hat k ~ \text{and}~ \vec B = 5\hat i + 6 \hat j +2 \hat k \\ \\\text{Now,}\\\\\vec A + \vec B = 3 \hat i +4 \hat j - \hat k + 5 \hat i + 6 \hat j + 2 \hat k\\\\~~~~~~~~~~=8 \hat i +10 \hat i + \hat k\)
11 A group of students are conducting an investigation about charging through the process of friction. The students rub
two neutral materials together, and there is a transfer of electrical charge from one material to the other. What is the
resulting, net electrical charge of the materials in this system?
The net electrical charge is positive as electrons are transferred from
one material to the other.
B The net electrical charge is positive as protons are transferred from
one material to the other.
The net electrical charge remains neutral as Electrons are transferred
from one material to the other.
The net electrical charge remains neutral as protons are transferred
from one material to the other.
Black. They
Answers
The resulting net electrical charge of the materials in this system is C: The net electrical charge remains neutral as electrons are transferred from one material to the other.
When two neutral materials are rubbed together, friction can cause the transfer of electrons from one material to another. Electrons, which carry a negative charge, can move from one material to the other during this process. However, it is important to note that the total number of electrons in the system remains the same.
Since electrons are transferred from one material to the other, the material that gains electrons becomes negatively charged, and the material that loses electrons becomes positively charged. These charges balance each other out, resulting in a neutral net electrical charge for the overall system.
Therefore, the net electrical charge of the materials in this system remains neutral, even though there is a transfer of electrons between them. Therefore, Option C is correct.
Know more about electrical charge here:
https://brainly.com/question/874116
#SPJ8
Kira earned $7 mowing her neighbor’s lawn for 1\2 of an hour what is her hourly rate
Answers
Explanation:
Kira earned $7 mowing her neighbor’s lawn for 1\2 of an hour what is her hourly rate?
if she earned $7 in 1/2 hour, she earns $14 in 1 hour.
[$7 * 2 = $14]
Let x define the position of an object such that x =
\((3 {t}^{2} + 2t + 10)\)
m
where "t" is in seconds.
(i) What are the positions of the objects at t = 0, 1, 2, 3, 4 and 5
(ii) What is also the average speed between t = 0 and t = 2
Answers
[/tex]mwhere "t" is in](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/baGDdGgPPV8vqgrFOLjn3tEigrRroK7N.png)
A 50 Ohm resistance causes a current of 5 milliamps to flow through a circuit connected to a battery. What is the power in the circuit?
Answers
Answer:0.00125 watts
Explanation:
resistance=50 ohms
Current=5 milliamps
Current=5/1000 milliamps
Current =0.005 amps
power=(current)^2 x (resistance)
Power=(0.005)^2 x 50
Power=0.005 x 0.005 x 50
Power=0.00125 watts
The power in the circuit is 1.25 mW.
What is Ohm's law?
Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points, provided the temperature and other physical conditions remain constant.
In other words, the current (I) in a circuit is equal to the voltage (V) divided by the resistance (R):
I = V/R.
This relationship is often written as V = IR or R = V/I. Ohm's law is named after Georg Simon Ohm, a German physicist who first formulated the relationship in the early 19th century.
Here in the Question,
Using Ohm's law, we can find the voltage in the circuit as:
V = IR
V = (5 mA)(50 Ω) = 0.25 V
Using the formula for power, we can find the power in the circuit as:
P = IV
P = (5 mA)(0.25 V) = 0.00125 W or 1.25 mW
Therefore, the power in the circuit is 1.25 mW.
To learn more about Coulomb's law click:
brainly.com/question/28040775
#SPJ3
An electric motor is used to hoist building supplies from the ground to the roof of a building. How high can it lift a 131 kg bundle of shingles in that time?
Answers
The electric motor will lift the 131 kg bundle of shingles at a height of 14 m.
What is gravitational potential energy?Gravitational potential energy is the energy exhibited by an object because of a change in its position in the presence gravitational field.
The gravitational potential energy of an object at height h from the surface of the earth is given by:
\(U = mgh,\) where m is the mass of the object.
Given, the power of the electric motor, P = 1.5 KW, and time, t - 12 s
Power = Work/ time
Work = Power × time
Work = 1500 ×12 = 18000 J
Given, the mass of the object, m= 131 Kg
The gravitational potential energy, U = 18000J
The height of the bundle of shingles can be determined as:
18000 = 131 ×9.8 ×H
H = 14 m
Learn more about gravitational potential energy, here:
brainly.com/question/19768887
#SPJ1
Your question was incomplete most probably complete question was,
An electric motor is used to hoist building supplies from the ground to the roof of a building. How much work can the motor do in 12 seconds if its power output is 1.5 kW. How high can it lift a 131 kg bundle of shingles in that time?
Which scientist is credited with having the greatest contribution to early microscopy and was the first to observe and describe single-celled organisms?
Answers
Answer:
Antonie van Leeuwenhoek
Explanation:
An average car emits 4.7 million metric tons (MMt) of CO2 each year when it runs on gas. If corn ethanol from biomass is used instead of gas, the car emits 52% less CO2. How much CO2 would the same car emit in a year if it ran on corn ethanol made from biomass?
Answers
Answer: 2.256
Explanation:
Answer:
This is a percent change problem. The CO2 emitted by a car using gas is 4.7 MMt per year. The CO2 emitted by a car using corn ethanol made from biomass is 52% less than 4.7 MMt.
Find 52% of 4.7 MMt:
0.52 × 4.7 = 2.444.
Subtract 2.444 MMt from 4.7 MMt:
4.7 − 2.444 = 2.256.
The solution is 2.256 MMt.
Explanation:
PLATO
When attacking fire in stacked and piled materials, _____, then apply water or Class A foam until extinguished.
Select one:
a. advance until you are at least 5 feet (1.5 m) from the fire's edge
b. apply Class B foam or clean agents
c. advance until you are at least 10 feet (3 m) from the fire's edge
d. use hooks or pike poles to break apart material
Answers
The correct answer is option D, which specifies that while putting out a fire in stacked and piled materials, use hooks or pike poles to pull the materials apart prior to dousing the area.
Putting out the fire with Class A foam or water until it has fully died down. In physics, a force is a factor that has the potential to change an object's trajectory. In reaction to a force, a mass-containing object can accelerate or modify its velocity by, for instance, moving away from rest. Force can logically be described as pushing or pulling. A force has both magnitude and direction, making it a vector quantity. Using the SI system, it is written as a newton (N). There is material in all things.
Learn more about force here
https://brainly.com/question/13191643
#SPJ4
Correct answer:- (d) use hooks or pike poles to break apart material.
When attacking the fire in stacked and piled materials, use hooks or pike poles to break apart material, then apply water or Class A foam until extinguished.
How would you put out a fire containing polar solvent fuels if you were using foam?A mixture of artificial stabilizers, foaming agents, fluorochemicals, and synthetic polymers are used to create alcohol-resistant (AR) foam, which is intended for use with polar solvents. These foams are resistant to being destroyed by polar solvents due to their chemical composition.
What kind of foam is utilized to put out fires caused by flammable and combustible liquids?The very effective foam known as aqueous film-forming foam (AFFF, or alcohol-resistant AR-AFFF) is used to put out high-hazard liquid fires.
What is the main substance applied to put out a Class A fire?Class A: Consists of common combustibles like rubber, paper, wood, and plastic. Pressurized water, foam, or multipurpose dry chemicals are the most often used extinguishing agents.
To know more about fire extinguisher visit:
https://brainly.com/question/26788464
#SPJ4
If an object is determined to have a negative charge of 1.6 micro Coulomb, you can conclude that the object has an excess of
Answers
Answer:
The object has an excess of \(10^{13}\) electrons.
Explanation:
When an object has a negative charge he has an excess of electrons in its body. We can calculate the number of excessive electrons by dividing the charge of the body by the charge of one electron. This is done below:
\(n = \frac{\text{object charge}}{\text{electron charge}}\\n = \frac{-1.6*10^{-6}}{-1.6*10^{-19}} = 1*10^{-6 + 19} = 10^{13}\)
The object has an excess of \(10^{13}\) electrons.
Drag the tiles to the boxes to form correct pairs. Use the Hertzsprung-Russel Diagram To determine which conditions describes each star. Use the arrows to help locate the stars.
Answers
The star Sirius B is white dwarf which cannot support nuclear fusion because it is exhausted hydrogen. The star Betelgeuse is running out of hydrogen supply whereas sun is experiencing fusion in its core.
What is nuclear fusion ?Nuclear fusion is the combination of two lighter nuclei to form a heavy nuclei. This process release tremendous amount of energy. Nuclear fusion is the source of light and heat energy in stars like sun.
The Hertzsprung-Russel Diagram diagram can be used to determine the energy status of a star and its color. The luminosity of stars is plotted against the temperature.
Here, the tiles can be joined as :star Sirius B is reddish gaint which cannot support nuclear fusion because it is exhausted hydrogen. The star Betelgeuse is running out of hydrogen supply whereas sun is experiencing fusion in its core.
Find more on nuclear fusion:
https://brainly.com/question/12701636
#SPJ9
All of the following are ways in which sports psychologists help athletes except __________.
A.
staying motivated
B.
managing fear of failure
C.
improving performance
D.
enhancing memory
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
D-Enhancing memory
Explanation:
cheese is made of cheese
Answers
Cheese is made of casein protein, which is originally made from milk and is high in protein. The texture of the cheese is determined by the quality of the milk, so cow's milk cheese differs from goat's milk cheese.
What is a dairy product?
Diary products are made from milk, such as cheese, curd, yogurt, etc., but all of them have different nutrients. The quality of these dairy products depend upon the quality of the milk, as some milking animals have a higher concentration of fats in their milk than other animals. These dairy products are used in different industrial sectors, such as for making ice cream, chocolate, and different food products.
Hence, cheese is made up of casein proteins that are present in the milk.
Learn more about the diary products here.
https://brainly.com/question/2786659
#SPJ1
2. Do the results by using a larger sample demonstrate the advantage of having a larger sample in the scattering experiment? Explain.
Answers
Answer: Better to have a larger sample size to precisely calculate.
Explanation: Larger sample sizes enable the researchers to more precisely calculate the expected principles of their own data and avoid errors caused by testing a small number of potentially atypical samples.
Calculate the kinetic energy of a 790-kg roller coaster traveling at a velocity of 20.7 m/s.
Answers
Answer:
The answer is 169253.55 joules
Answer:
\(\displaystyle KE = 169254 \ J\)
General Formulas and Concepts:
Energy
Kinetic Energy Formula: \(\displaystyle KE = \frac{1}{2}mv^2\)
KE is kinetic energy (in J)m is mass (in kg)v is velocity (in m/s)Explanation:
Step 1: Define
[Given] m = 790 kg
[Given] v = 20.7 m/s
Step 2: Solve
Substitute in variables [Kinetic Energy Formula]: \(\displaystyle KE = \frac{1}{2}(790 \ kg)(20.7 \ m/s)^2\)[KE] Evaluate exponents: \(\displaystyle KE = \frac{1}{2}(790 \ kg)(428.49 \ m^2/s^2)\)[KE] Multiply: \(\displaystyle KE = (395 \ kg)(428.49 \ m^2/s^2)\)[KE] Multiply: \(\displaystyle KE = 169254 \ J\)