Answer:
8000J
Explanation:
The kinetic energy of the car lost during breaking are converted to thermal energy and are gained by the brakes.
Kinetic energy loss by car = thermal energy gained by brakes.
∆K.E = ∆T.E ....1
The Kinetic energy loss by car can be expressed as;
∆K.E = K.E1 - K.E2
Initial K.E = K.E1 = 10000J
Final K.E = K.E2 = 2000J
∆K.E= 10000J - 2000J = 8000J
From equation 1,
∆K.E = ∆T.E
∆T.E = 8,000J
thermal energy gain by brakes = 8,000J
A block is pushed across a 10 m rough surface quickly by a boy. Which of the
following would not increase the power needed by the boy to move the block?
A)Decrease the time of the block slid
B)Increase the mass of the block
C)Increase the time of the block was slid
D)Increase the roughness of the surface
Answer:A
Explanation:i got it right
Draw a flowchart and write its pseudocode to convert temperature from Celsius to Fahrenheit. F=(C×2)+30
A flowchart and write its pseudocode to convert temperature from Celsius to Fahrenheit is shown below.
How to write a pseudocode and create a flowchart?The pseudocode for a program that requests for a number (temperature) from an end user, converts temperature from Celsius to Fahrenheit, and then prints or outputs (displays) the converted temperature to the user is written below.
In this context, a pseudocode to convert temperature from Celsius to Fahrenheit can be written as follows;
START
Input "Enter a number" into variable F
F = (9/5)C + 32
PRINT C
STOP
In conclusion, we would use Microsoft Visio to create a flowchart that converts temperature from Celsius to Fahrenheit as shown in the image attached below.
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Where is an object's center of gravity?
The center of gravity (CG) location is the average location of all the weights of an object. The center of gravity is the balance point of an object, also expressed as the point where all the mass appears to be located.
The location of the body's center of gravity is where its mass is concentrated. The human body's center of gravity is a fictitious position where the gravitational force is claimed to appear to act (COG). It is where the body's overall bulk seems to be concentrated.
What is an object's center of gravity?The center of gravity of an object is the point at which its weight is most evenly distributed. Any object's travel through space may be completely explained in terms of how its center of gravity moves from one location to another and, if it is free to spin, how it rotates around that center of gravity.
Therefore, In physics, the center of gravity is a hypothetical location within a solid where, for the sake of convenience in some computations, the body's whole weight may be assumed to be concentrated.
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Which of these best describes what happens when a ball hits the sweet spot (node) of a bat?
Group of answer choices
Most of the energy from the swinging of the bat is transferred to the ball.
Much of the energy of the ball hitting the bat is turned into oscillating the bat.
The waves created when the ball hits the bat and bounces off make the bat oscillate.
The bat breaks.
Answer:
The first option, energy is transferred.
Explanation:
"An airline is considering operating a new service. The aircraft has a maximum capacity of 200 passengers. Each flight has fixed costs of £25,000 plus an additional cost of £75 per passenger (to cover things like catering, booking, baggage handling)." "The company is considering charging £225 per ticket, how many passengers will the airline need on each flight to break even?""An airline is considering operating a new service. The aircraft has a maximum capacity of 200 passengers. Each flight has fixed costs of £25,000 plus an additional cost of £75 per passenger (to cover things like catering, booking, baggage handling)." "The company is considering charging £225 per ticket, how many passengers will the airline need on each flight to break even?"
The airline will need to have at least 167 passengers on each flight to break even.
To calculate the number of passengers needed to break even, we need to consider the total costs and the revenue generated per flight.
The total cost per flight consists of the fixed costs (£25,000) and the variable costs (£75 per passenger). The revenue per flight is determined by the ticket price (£225) multiplied by the number of passengers.
Let's denote the number of passengers as 'P'. The total cost per flight is given by:
Total Cost = Fixed Costs + (Variable Cost per Passenger * Number of Passengers)
Total Cost = £25,000 + (£75 * P)
The revenue per flight is given by:
Revenue = Ticket Price * Number of Passengers
Revenue = £225 * P
To break even, the total cost should equal the revenue:
£25,000 + (£75 * P) = £225 * P
Now, we can solve this equation for P to find the number of passengers needed to break even:
£25,000 + (£75 * P) = £225 * P
£25,000 = £225 * P - £75 * P
£25,000 = £150 * P
P = £25,000 / £150
P ≈ 166.67
Since the number of passengers must be a whole number, we round up to the nearest whole number:
P = 167
The airline will need at least 167 passengers on each flight to break even. However, since the maximum capacity of the aircraft is 200 passengers, the airline will need to fill the aircraft to its maximum capacity to break even on each flight.
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sound travels at a speed of 330 m per second how long does it take the sound of thunder to travel 1485m
Given : Sound travels at a speed of 330m/sec how long does it take the sound of thunder to travel 1485m
Solution : According to the question, here we are given that the speed of sound is 330m/sec and distance travelled is 1485m. So, time needs to be find out. For this we need to use a specific formula.
Time = Distance/Speed
Time = 1485/330 Time = 450 secHenceforth, time taken by the sound is 450 sec
A 0. 20-kg baseball is struck with a force of 100 n from a 0. 94-kg baseball bat. What will be the acceleration of the ball and the bat, in that order, while the bat and ball are in contact?.
The acceleration of the baseball is 500 m/s².
A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull.
The mass of the baseball, m = 0.2 kg
The force acting on the baseball is 100 N.
By Newton's second law of motion,
F = ma
Substituting the values in the above equation,
100 N = 0.2 kg × a
a = 100 / 0.2
a = 500 m/s²
The total mass when the baseball and baseball bat are in contact is:
m = 0.2 + 0.94 = 1.14 kg
Then the acceleration will be:
F = ma
100 = 1.14 × a
a = 87.7 m/s²
The acceleration of the ball after the contact is 500 m/s².
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A box exerts a force of 420 N on a floor. If the square box measures 0.5 m on each side, how much pressure does it place on the floor?
A box exerts a force of 420 N on a floor. If the square box measures 0.5 m on each side. Pressure does it place on the floor is 1680 N/m².
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Pressure is force per unit area so,
pressure = 420/.25
pressure = 1680 N/m²
A box exerts a force of 420 N on a floor. If the square box measures 0.5 m on each side. Pressure does it place on the floor is 1680 N/m².
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Bonnie and Dimitri want to investigate the motion of cars traveling on a stretch of highway. They measure out a segment on the highway and measure the time it takes for a car to pass along that segment. Using this data, which of the following quantities are they trying to find?
a. Average acceleration
b. instantaneous velocity
c. average speed
d. instantaneous acceleration
Using this data the quantity which is trying to find is average speed.Thus, option C is correct.
What is average speed?Average speed is defined as the total distance traveled in total time taken it means that we can calculate the average speed obtained by an object.
Mathematically,
Average Speed = Total distance travelled/Total time taken
It's S.I unit is meter/second
Average speed is a scaler quantity it means that it has only magnitude not direction. MKS is refers to meter, kilogram, seconds. It forms the base of international systems of units though SI has since been redefined by different fundamental constants.
Therefore, Using this data the quantity which is trying to find is average speed.Thus, option C is correct.
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Which variable is the Dependent Variable in that situation?
How do you know it's the Dependent Variable?
Answer: The time it takes for the cart to roll down the ramp is dependent on the height of the ramp. This makes the time dependent on the height.
Question 10 Marks: 1 The valley or ravine landfill method utilizes "lifts" from the bottom up with depths usually ofChoose one answer. a. 6 to 8 feet b. 8 to 10 feet c. 10 to 12 feet d. 12 to 14 feet
The valley or ravine landfill method utilizes "lifts" from the bottom up with depths usually of 6 to 8 feet.
This means that the landfill is built up in layers or lifts, with each layer being 6 to 8 feet deep. The waste is then compacted and covered with a layer of soil before the next lift is added. This method is used in valleys or ravines because it allows for the natural contours of the land to be used, minimizing the need for excavation and land disturbance. It also helps to contain the waste in a specific area, making it easier to manage and monitor. Overall, the valley or ravine landfill method is an efficient and environmentally responsible way to dispose of waste.
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Which element is most likely to form an ion with a negative 2 charge?
According to the electronic configuration,the element which is most likely to form an ion with negative 2 charge is the one which has six valence electrons and is in need of 2 electrons to complete the octet.
What is electronic configuration?
Electronic configuration is defined as the distribution of electrons which are present in an atom or molecule in atomic or molecular orbitals.It describes how each electron moves independently in an orbital.
Knowledge of electronic configuration is necessary for understanding the structure of periodic table.It helps in understanding the chemical properties of elements.
Elements undergo chemical reactions in order to achieve stability. Main group elements obey the octet rule in their electronic configuration while the transition elements follow the 18 electron rule. Noble elements have valence shell complete in ground state and hence are said to be stable.
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A baseball with a mass of 0. 15 kilograms collides with a bat at a speed of 40 meters/second. The duration of the collision is 8. 0 x 103 seconds. The
ball moves off with a speed of 50 meters/second in the opposite direction. What is the value of the force?
The value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.
When an object collides with another object, they exchange energy. For example, a baseball and bat collision or a car collision. When two objects collide, the force of the collision has to be equal on both sides of the collision according to Newton's Third Law. So, to find the value of force, we will apply the equation:
F = ΔP / ΔT
where F is the force, ΔP is the change in momentum, and ΔT is the time of collision. The equation represents the impulse momentum theorem.
Now, let's apply the given values to the above equation.
Final momentum (p2) = mass × final velocity (v2)
p2 = 0.15 kg × (-50 m/s)
p2 = -7.5 kg.m/s
Initial momentum (p1) = mass × initial velocity (v1)
p1 = 0.15 kg × (40 m/s)
p1 = 6 kg.m/s
Change in momentum (ΔP) = p2 - p1
ΔP = -7.5 kg.m/s - 6 kg.m/s
ΔP = -13.5 kg.m/s
Time of collision (ΔT) = 8.0 × 10³ s
Now, putting the values of ΔP and ΔT in the equation of impulse momentum theorem, we get:
F = ΔP / ΔT
F = -13.5 kg.m/s ÷ 8.0 × 10³ s
F = -1.7 × 10⁻³ N
Thus, the value of force is 1.7 × 10⁻³ N, with the direction opposite to that of the bat's motion.
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An object has a height of 0.064 m and is held 0.240 m in front of a converging lens with a focal length of 0.140 m. (Include the sign of the value in your answers.)
(a) What is the magnification?
(b) What is the image height?
m
(a) To find the magnification, we first need to determine the image distance (q). We can use the lens formula:
1/f = 1/p + 1/q
where f is the focal length (0.140 m), p is the object distance (0.240 m), and q is the image distance. Rearranging the formula to solve for q:
1/q = 1/f - 1/p
1/q = 1/0.140 - 1/0.240
1/q = 0.00714
q = 1/0.00714 ≈ 0.280 m
Now, we can find the magnification (M) using the formula:
M = -q/p
M = -0.280/0.240
M = -1.17
The magnification is -1.17.
(b) To find the image height (h'), we can use the magnification formula:
h' = M × h
where h is the object height (0.064 m). Plugging in the values:
h' = -1.17 × 0.064
h' ≈ -0.075 m
The image height is approximately -0.075 meters. The negative sign indicates that the image is inverted.
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Q.7. For a system with a transfer function of G(s)=- co² s² +2a+w² if the natural frequency is 0.5 and the damping ratio is 1.3, which of the following statements is correct regarding the unit step response of the system?
O A) Damped
O B) Undamped
O C) Underdamped
O D) Crittically Damped
O E) Overdamped
The system described by the transfer function G(s) = -co² s² + 2a + w², with a damping ratio of 1.3 and a natural frequency of 0.5, has an overdamped unit step response. So, the correct option is (E)
The transfer function of the system is given as G(s) = -co² s² + 2a + w², where co represents the damping ratio, a represents an arbitrary constant, and w represents the natural frequency of the system. We are given that the natural frequency is 0.5 and the damping ratio is 1.3.
To determine the type of unit step response, we need to analyze the damping ratio (co) in relation to the critical damping value (co_critical).
The critical damping ratio (co_critical) is defined as the value where the system is on the threshold between being overdamped and underdamped. It is given by the formula co_critical = 2 * sqrt(a * w²).
In our case, the natural frequency (w) is 0.5, so we can calculate co_critical as follows: co_critical = 2 * sqrt(a * 0.5²).
Since the damping ratio (co) is given as 1.3, we can compare it with co_critical to determine the type of unit step response.
If co > co_critical, the system is considered overdamped (Option E).
If co = co_critical, the system is considered critically damped (Option D).
If co < co_critical, the system is considered underdamped (Option C).
Based on the given values, we can determine that the system is overdamped (Option E) because the damping ratio (1.3) is greater than the critical damping ratio.
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Convection takes place because
Explanation:
the particles in liquids and gases move faster when they are heated than they do when they are cold. As a result, the particles take up more volume.
Which kinds of nerves are found in the peripheral nervous system?
A. cranial and sensory nerves
B. sensory and motor nerves
C. spinal and cranial nerves
D. terminal and cranial nerves
Answer:
C
Explanation:
Answer:
c
Explanation:
distinguish between avarge speed and avarge velocity
Answer:
Average speed is the total distance traveled divided by the time. Speed takes into account the total path length traveled. Average velocity is the displacement divided by the time. Velocity only takes into account the starting and ending points of an object's path.
Explanation:
A 1.0-kg block of aluminum is at a temperature of 50°C. How much thermal energy will it lose when its temperature is reduced by half? The specific heat of aluminum is 897 J/(kg •K).
Answer:
22425 J
Explanation:
From the question,
Applying
Q = cm(t₂-t₁).................. Equation 1
Where Q = Thermal Energy, c = specific heat capacity of aluminium, m = mass of aluminium, t₂ = Final Temperature, t₁ = Initial Temperature.
Given: c = 897 J/kg.K, m = 1.0 kg, t₁ = 50 °C, t₂ = 25 °C (The final temperature is reduced by half)
Substitute these values into equation 1
Q = 897×1×(25-50)
Q = 897×(-25)
Q = -22425 J
Hence the thermal energy lost by the aluminium is 22425 J
When you enter cos(30°) into your calculator, you get the answer of 0.5 and when you enter into your calculator cos(-30°) you still get 0.5. Explain to the best of your ability why you think you get the same answer even though the angle you enters is different?
Answer:
The reason why you get the same answer when you enter cos(30°) and cos(-30°) into your calculator is because cosine is a periodic function, which means that the same value is repeated after a certain interval. In the case of cosine, the interval is always 360°, so cos(30°) and cos(-30°) are equivalent because they are both equal to 30° away from 0°. Therefore, they both have the same value, which is 0.5.
Why can ultrasound not be heard by humans?
What are the name of variables that do not change through out and experiment?
A. Dependent Variables
B. Independent Variables
C. Controlled Variables/ Constant
D. Variables They dont have a name
Answer:
The answer is C
Explanation:
express the current i1 going through resistor r1 in terms of the currents i2 and i3 going through resistors r2 and r3. use the direction of the currents as specified in the figure.
To express the current i1 in terms of the currents i2 and i3, we can use Kirchhoff's current law (KCL), which states that the sum of currents entering a node is equal to the sum of currents leaving the node. In this case, the node where i1, i2, and i3 meet is the point of interest.
Based on the direction of the currents specified in the figure, we can write the equation:
i2 + i3 = i1
This equation represents the application of KCL at the node where i1, i2, and i3 are connected. According to KCL, the sum of currents entering the node (i2 and i3) is equal to the sum of currents leaving the node (i1).
Therefore, the expression for the current i1 in terms of i2 and i3 is:
i1 = i2 + i3
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2. Two rugby players are running towards each other. They are 77m apart. If one is accelerating
from rest at 1.2 m/s² and the other was already moving at 4.1 m/s and maintains her speed:
a.How long before they crunch together
b. How fast was the accelerating player going?
c. How far has each player run?
Time to collision is 7.5 seconds, rounding up the response.
How far do players run in a game?Only 11 minutes out of every NFL game are spent physically moving, on average. Running 1.25 kilometres per game on average, wide receivers and cornerbacks are the most active.To assist you develop the strength to start running faster, do sprinting drills and exercises including box jumps, high knees, hill sprints, and other core workouts. Your entire body can be strengthened by including some type of strength training on your off-days.In just 2-4 weeks, you can expect to see improvements if you combine abdominal workouts with core-strengthening activities like planks, squats, and press-ups.There has been some studies on the optimal number of sets based on different types of stimulation, but I would suggest anything from four to eight sets depending on how you are feeling.To learn more about collision refer to:
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Ultraviolet light from a distant star is traveling at 3.0 × 108 m/s. how long will it take for the light to reach earth if it must travel 4.0 × 1013 km? 2.7 × 10–2 hours 2.2 × 103 hours 3.7 × 104 hours 1.3 × 105 hours
Given speed and the distance that must be covered, the time it will take the ultraviolet light to reach the earth is 3.7 × 10⁴ hours.
What is Speed?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given the data in the question;
Speed of the Ultraviolet light c = 3.0 × 10⁸m/s = 1.08 × 10⁹km/hDistance it must cover d = 4.0 × 10¹³kmTime elapsed t = ?We substitute our given values into the expression above.
Speed = Distance ÷ time
1.08 × 10⁹km/h = 4.0 × 10¹³km ÷ t
t = 4.0 × 10¹³km ÷ 1.08 × 10⁹km/h
t = 3.7 × 10⁴ hrs
Therefore, given speed and the distance that must be covered, the time it will take the ultraviolet light to reach the earth is 3.7 × 10⁴ hours.
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How do you determine the effect of initial speed on the horizontal distance traveled by a projectile?
x(t)=voₓ.t = vo cos α.t
the greater the initial speed, the further the distance obtained
The horizontal distance traveled by a projectile (also known as the range of the projectile) is determined by the initial speed of the projectile, as well as other factors such as the angle at which it is launched and the gravitational acceleration acting on it.
What is a projectile?A projectile is an object that is projected into the air and follows a parabolic path under the influence of gravity. Examples of projectiles include balls thrown or kicked in sports, bullets fired from guns, and rocks or other objects that are thrown or dropped.
To determine the effect of the initial speed on the horizontal distance traveled by a projectile, you can use the following formula:
\(Range = (Initial speed)^2 * sin(2 * Launch angle) / gravitational acceleration\)
This formula shows that the range of a projectile is directly proportional to the initial speed of the projectile squared, and is also affected by the launch angle and gravitational acceleration.
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Write 3 rules that describe the possible behaviors that occur when objects with different charges are brought close together
Explanation:
1. attract
2.repel
3. no effect
On the journey back to Earth, the astronaut
reaches a point X where the gravitational field
strengths due to the Earth and the Moon are
equal in magnitude but opposite in direction.
State
i the resultant value of the gravitational field
strength at X
At point X, the resultant value of the gravitational field strength is zero.
What is gravitational field?Gravitational field is the region of space where a mass object exerts an influence on other objects in its vicinity. It is an invisible force that exists everywhere in the universe and is related to the mass of an object. The strength of a gravitational field is determined by the amount of mass in the object creating the field. The Earth’s gravitational field is what holds us to its surface and it is responsible for the force of gravity we experience here. The strength of the gravitational field is weaker further away from the center of the Earth and stronger nearer to the center. The gravitational field of the Earth’s extends beyond its atmosphere and into space, where it can be detected by satellites in orbit. The gravitational fields of other planets and stars can also be detected and measured by spacecraft.
At point X, the resultant value of the gravitational field strength is zero. This is because the gravitational field strengths due to the Earth and the Moon are equal in magnitude but opposite in direction. Since the two forces cancel each other out, the resulting gravitational field strength is zero.
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What are the 3 harmful waves that our atmosphere protects us from
Answer:
Hope this Helped ;-;
Explanation:
However, the Earth's atmosphere protects us from exposure to a range of higher energy waves that can be harmful to life. Gamma rays, x-rays, and some ultraviolet waves are "ionizing," meaning these waves have such a high energy that they can knock electrons out of atoms.
At the instant that a cake is removed from the oven, the temperature of the cake is 350 degrees F. After 10 minutes, the cake's temperature is 200 degrees F. If the temperature of the room is 70 degrees F, how much longer will it take for the cake to cool to 90 degrees F?
It will take an additional 7.33 minutes for the cake to cool from 200 degrees F to 90 degrees F after the initial 10 minutes of cooling.
To calculate how much longer it will take for the cake to cool to 90 degrees F, we need to first determine the rate at which the cake is cooling. We can do this by calculating the temperature difference between the cake and the room and dividing it by the time it takes for that temperature difference to occur.
In this case, the temperature difference between the cake and the room is 280 degrees F (350-70=280) when the cake is removed from the oven. After 10 minutes, the temperature difference is 130 degrees F (200-70=130). Therefore, the cake is cooling at a rate of 15 degrees F per minute (280-130=150 degrees F in 10 minutes; 150/10=15).
To determine how much longer it will take for the cake to cool to 90 degrees F, we need to calculate the time it takes for the temperature to drop from 200 degrees F to 90 degrees F. This is a temperature difference of 110 degrees F (200-90=110), so it will take approximately 7.33 minutes (110/15=7.33) for the cake to cool from 200 degrees F to 90 degrees F.
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