Answers
Answer:
1. (a) The final velocity is 20 m/s
(b) The distance travelled is20 meters
2. The distance travelled by the train in the 30 seconds is 825 meters
3. The most correct option is;
(d) 53 km
4. The heat, developed by the electric iron is 15,000 joules
5. a) In the first network the resistance between A and B is 2 Ω
b) In the second network the resistance between A and B is 4Ω
c) In the third network the resistance between A and B is 6Ω
d) In the fourth network the resistance between A and B is 2Ω
Explanation:
1. (a) The parameters of the cheetahs motion are;
The initial motion (velocity) of the cheetah = 0 m/s (The cheetah starts from rest)
The acceleration of the cheetah, a = 2 m/s²
The duration of the acceleration of the cheetah, t = 10 seconds
The kinematic equation of the motion of uniform acceleration, of the cheetah can be written in the following form;
v = u + a·t
s = u·t + 1/2·a·t²
Where;
v = The final velocity
u = The initial velocity = 0 m/s
a = The acceleration of the cheetah = 2 m/s²
s = The distance traveled
∴ v = 0 + 2 × 10 = 20
The final velocity, v = 20 m/s
(b) From s = u·t + 1/2·a·t², we have;
s = 0 × 10 + 1/2 × 10 × 2² = 20
The distance travelled, s = 20 meters
2. The given details of the motion of the train are;
The initial velocity of the train, u = 20 m·s⁻¹
The acceleration of the train, a = 0.5 m·s⁻²
The duration of the train's acceleration, t = 30 seconds
Therefore, the distance travelled, 's', is given by; s = u·t + 1/2·a·t²
∴ s = 20 × 30 + (1/2) × 0.5 × 30² = 825
The distance travelled by the train in the 30 seconds, s = 825 meters
3. The given distance the truck covers with the average speed of 80 km/h, d₁ = 40 km
The distance the truck then covers with the average speed of 40 km/h, d₂ = 40 km
[tex]Average \ speed = \dfrac{Total \ distance}{Time}[/tex]
[tex]\therefore time, \, t = \dfrac{Total \ distance}{Average \ speed}[/tex]
The time it takes the truck to cover the 40 km at 80 km/h = 40 km/(80 km·h) t₁ = 0.5 hour
The time it takes the truck to cover the 40 km at 80 km/h = 40 km/(40 km·h) t₂ = 1 hour
The total time taken to cover both 40 km distances, t = t₁ + t₂
∴ The total time taken to cover both 40 km distances, t = (0.5 + 1) hour = 1.5 hours
The total distance covered at both speeds, d = d₁ + d₂
∴ d = 40 km + 40 km = 80 km
The average speed of the truck for the total distance, [tex]v_{average}[/tex] = d/t
∴ [tex]v_{average}[/tex] = 80 km/1.5 hours = 53.[tex]\overline 3[/tex] km/h ≈ 53 km/h
The average speed of the truck for the total distance, [tex]v_{average}[/tex] ≈ 53 km/h
The correct option is (d) 53 km
4. The heat, 'H', developed by the electric iron is given by the following formula;
H = I²·R·t
Where;
I = The current flowing in the electric iron = 5 A
R = The resistance of the iron = 20Ω
t = The time duration of the flow of the current = 30 s
∴ H = (5 A)² × 20 Ω × 30 s = 15,000 joules
The heat, developed by the electric iron, H = 15,000 joules
5. Let 'R' represent the resistance between A and B in each network
a) For the first network, we have;
1/R = 1/(2 + 2) + 1/(2 + 2) = 1/4 + 1/4 = 1/2
∴ R = 2 Ω
∴ The resistance between A and B is 2 Ω
b) For the second network, we have;
R = 1/(1/2 + 1/2) + 3 = 4
R = 4Ω
∴ The resistance between A and B is 4 Ω
c) For the third network, we have;
R = 2 + 1/(1/4 + 1/4) + 2 = 6
R = 6Ω
∴ The resistance between A and B is 6 Ω
d) For the fourth network, we have;
R = 1/(1/2 + 1/2) + 1/(1/2 + 1/2) = 2
R = 2Ω
∴ The resistance between A and B is 2 Ω
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Answers
The mathematical relationship between the velocity of sound, its wavelength, and its frequency is represented by the equation v = fλ, where v is the velocity of the sound, f is the frequency of the sound, and λ is the wavelength of the sound.
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What is the name of the electrical component used to measure the current in a circuit?
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Ammeter is the name of the electrical component used to measure the current in a circuit.
What is ammeter?An instrument used to measure the current in a circuit is called an ammeter, which is short for ampere meter. Amperes (A) are units used to measure electric currents. The circuit in which the current is to be measured and the ammeter are linked in series to allow for direct measurement. A typical ammeter has a low resistance so that it won't significantly lower the voltage in the circuit being measured.Microammeters and milliammeters are terms used to describe devices that measure currents in the milliampere or microampere range. The Earth's magnetic field was necessary for the operation of the earliest ammeters, which were laboratory instruments. Improved instruments were created by the late 19th century that could be put in any orientation and permitted precise measurements in electric power systems. It is generally represented by letter 'A' in a circuit.For more information on ammeter kindly visit to
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Describe the forces acting on a car as it moves along a level highway in still air at a constant speed.
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Which objects cannot be observed in detail without a microscope? choose more than one answer.
Answers
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Explanation:
Virus is 20 to 100 times smaller than bacteria
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Answers
Given that gravitational potential energy can become kinetic energy upon impact, you can determine the speed.
Total energy can be preserved in this way.
Kinetic and potential energy are equivalent.
We can calculate the velocity from this.
In this manner, we may observe the potential energy becoming kinetic energy.
A doubling in height will lead to a doubling in gravitational potential energy since an object's gravitational potential energy is directly proportionate to its height above the zero point. The gravitational potential energy will triple with a tripling of height.
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An ice skater is spinning with her arms out and is not being acted upon by an external torque. a. When she pulls her arms in close to her body what happens to her angular momentum? b. When she pulls her arms in, what happens to her moment of inertia? c. What happens to her angular speed when she pulls her arms in? d. What happens to her rotational kinetic energy when she pulls her arms in?
Answers
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Therefore, when the ice skater's moment of inertia decreases and her angular velocity increases, her rotational kinetic energy will also increase.
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Two blocks X andY of weights 8 N and 2 N
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shown. A downward force of 4 N is applied to Y.
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Answers
Explanation:
are A and B really the only options ?
because they are wrong.
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Answers
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When an object is moved by a force at a constant speed over a rough, horizontal surface, the work against friction results in an increase in the object's
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a) While riding a chair life to the top of a hill, a 54.8
kg skier gains a total of 4.22 x 10^5 J of gravitational
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Answers
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Hence the total change in the skier's gravitational potential energy is 199,430Joules.
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Answers
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The 2 literary devices we see in satire are:
Irony: Gap between what is said and what is meant.
Hyperbole: A literary term for exaggerating a particular event or person.
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a student conducts an experiment in which an object is released from rest and falls to the floor. in the experiment, frictional forces cannot be neglected. the student uses experimental data to create two graphs. figure 1 is a graph of kinetic energy of the object as a function of time. figure 2 is a graph of the object-earth system’s gravitational potential energy as a function of time. how should the student use one or both graphs to determine how much the total mechanical energy changes after 5s ?
Answers
The required change in after 5 seconds Mechanical energy is 0.6J.
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Thus, change in Mechanical energy is 0.6J.
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a 1.00 102 -kg block is resting on a horizontal frictionless surface and is attached to a horizontal spring whose spring constant is 124 n/m. the block is shoved parallel to the spring axis and is given an initial speed of 8.00 m/s, while the spring is initially unstrained. what is the amplitude of the resulting simple harmonic motion?
Answers
The amplitude of the resulting simple harmonic motion will be A=0.07184M
As M (Mass) =1X10^-2
K (constant) =124 n/m (newton/ meter)
u (initial speed) =8 m/s at x=0
A=?
we have, e=1/2kx^2+1/2mu^2
but E=1/2KA^2
=1/2KA^2=1/2KX^2+1/2MU^2
1/2KA^2=1/2MU^2
A^2=M/KU^2=A=(M/K)U
A=(√1X10^-2)/124)(8)=0.0718
A=0.07184M
or
A=71.84X10^-3M
A wave's amplitude is the separation between its starting point and its maximum displacement. Frequency is the quantity of waves that pass past a given place each second. Period: the amount of time required for a wave cycle to end.
It speaks about the greatest deviation an object in periodic motion can exhibit from equilibrium. A pendulum, for instance, swings past its equilibrium point (straight down), then swings to a maximum distance from the centre.
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What is the meaning of primordial heat?
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Answer:
The primordial heat of a planet is the heat caused by the dissipation of heat energy accumulated during its first few million years. Accretion energy is the energy deposited by infalling planetesimals and differentiation energy is the energy deposited by separating planetesimals.
Guidlines for replenishing fuel during endurance events includeA. consume 30 to 60 grams of carbohydrate per hrB. use only one type of carbohydrate to avoid gastrointestinal upsetC. use a protein supplement every 30 minsD. avoid fluid during exercise
Answers
The recommended range for refueling for endurance races is 30 to 60 grams of carbohydrates each hour.
The following are suggestions for refueling while exercising. Use a fat supplement every 30 minutes, and stay away from fluids while working out. During endurance activities, good hydration habits should be followed. eating liquids to make up for fluid lost during exercise and drinking freely for the 24 hours before to an event. Maintaining performance, preventing injury, and maintaining hydrate all depend on replacing lost salt from exercise. To figure out how much salt is lost during training, you don't need a sophisticated lab test. You ought to be able to avoid the dangers of sodium losses if you go by these recommendations and experiment to see what works.
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Is gravitational potential energy a renewable or non-renewable?
Answers
Answer:
It is renewable.
Explanation:
The gravity of the earth is infinite and so it is renewable energy.
Gravitational potential energy is neither renewable nor non-renewable as it is a form of energy that exists due to the position of an object in a gravitational field. It is a type of potential energy that is associated with an object's position in a gravitational field and its mass. The amount of gravitational potential energy an object has depends on its mass, height above the reference level, and the strength of the gravitational field.
What is renewable or non renewable energy ?Renewable and non-renewable energy sources refer to the sources of energy that are used to generate electricity or power and are consumed over time. Examples of renewable energy sources include solar, wind, and hydropower, while non-renewable energy sources include fossil fuels such as coal, oil, and natural gas.
Therefore, gravitational potential energy is not considered a renewable or non-renewable energy source as it is not a source of energy that is harvested or consumed. Rather, it is a property of an object that can be converted into other forms of energy such as kinetic energy when the object falls or is released from its position in a gravitational field.
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a rocket flies directly upward with an initial velocity of 76.5 m/s. what is the maximum height the rocket will reach?
Answers
The maximum height the rocket will reach is 298.584m if its initial velocity is 76.5m/sec and it flies upwards.
We know that at highest point final velocity of the rocket will be 0m/sec.Now,we have initial velocity of rocket,final velocity of rocket,acceleration due to gravity.
We are taking upward direction as positive and downward direction as negative, due to that value of acceleration due to gravity is -9.8m/sec²
So,we can use third equation of motion which is given by
v² - u² =2aS
where v is the final velocity of rocket,
u is initial velocity of rocket
a is acceleration of the rocket
and S is the distance travelled by the rocket
We have v=0m/sec,u=76.6m/sec,a=9.8m/sec²,S=?
So,on putting the values,we get
=>(0)² - (76.5)² = 2 × (-9.8) × S
=>S=(76.5)² / 19.6
=>S=5852.25/19.6
=>S=298.584m
Hence, maximum height attained by rocket is 298.584m.
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a toy cannon is fixed to a small cart and both move to the right with speed v along a straight track, as shown above. the cannon points in the direction of motion. when the cannon fires a projectile the cart and cannon are brought to rest. if m is the mass of the cart and cannon combined without the projectile, and m is the mass of the projectile, what is the speed of the projectile relative to the ground immediately after it is fired?
Answers
The speed of the projectile relative to the ground immediately after it is fired is determined as v.
What is the final speed of the projectile?The final speed of the projectile is obtained by applying the principle of conservation of linear momentum.
The law of conservation of linear momentum states that in an isolated system, the sum of the initial momentum is equal to the sum of the final momentum.
Pi = Pf
where;
Pi is initial momentum of the cannon and small cartPf is the final momentum of the projectilePi = mv
where;
m is the mass of the toy cannon and small cart combined v is the speed of the toy cannon and small cart combinedPf = Pi = mv
since mass of the projectile = m
The final speed is calculated as;
Pf = mv
v = Pf / m
v = mv / m
v = v
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classify each of the following amines as primary (1∘), secondary (2∘), or tertiary (3∘):
Answers
Amine classification: Primary, Secondary Amines, which are derivatives of ammonia, are categorized as primary (1°), secondary (2°), and tertiary (3°) based on how many hydrogen atoms in the ammonia molecule have been replaced by alkyl or aryl groups.
A primary amine is created when one alkyl group replaces one hydrogen atom in NH 3. primary, secondary, tertiary, or quaternary amine as 1o, 2o, 3o, or 4° (CH3)4N+ .
(C₂H₅)CHNH₂ N atom is directly connected with only one C atom (i.e. one alkyl group) So, it is a primary amine.
An intermolecular interaction involves primary and secondary amines. This is because the nitrogen in one molecule and the hydrogen in another molecule form a hydrogen bond. This intermolecular interaction is more prevalent in primary amines compared to secondary amines.
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Why do water particles drift in a spiral shape in the direction of wave propagation?
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a car and a truck are each traveling at 20.0 m/s, and the car is 25 m behind the truck. the car driver decides to pass the truck, and he steps on the gas, producing an acceleration of 3.0 m/s2 . (a) how long will it be before the car is alongside the truck? (b) how fast will the car be moving relative to the truck when they are side by side? (c) how far will the car travel while reaching the truck? (d) how far will the truck travel in the same time?
Answers
a) It will travel 4.082 seconds before the car is alongside the truck
b)The car be moving at a speed of 12.246 m/s relative to the truck when they are side by side
c)The distance travelled by car is 106.64 m
d)The distance travelled by truck is 81.64 m
What is meant by relative motion?
The motion of one body when compared to another which is considered to be fixed is known as relative motion.
Initial velocity of the car ,u₁ = 20.0 m/s
Initial velocity of the truck ,u₂ = 20.0 m/s
Initially the distance between the truck and the car, d = 25 m
acceleration of the car,a₁ = 3.0 m/s²
a) For the car to reach the truck in a time interval( t ) , the distance travelled by car in that time( s₁ ) should be 25m more than the distance travelled by the truck in the same time interval( s₂ )
⇒ s₁ = 25 + s₂
u₁t+ 1/2a₁t² = 25 + u₂t +0 ( by eqn of motion , s = ut + 1/2at²)
20t + 1/2 * 3 * t² = 25 + 20t
1/2 * 3 * t² = 25
t² = 50/3
t = √50/3
t = 4.082 s
Therfore, It will travel 4.082 seconds before the car is alongside the truck
b) Time taken for them to reach side by side ,t = 4.082 s
velocity of car at that instance , v₁ =u₁ + a₁t
v₁ = 20 + 3 (4.082)
= 20 + 12.246
∴ v₁ =32.246 m/s
relative velocity to the truck ,v₁₂ = v₁ - u₁
= 32.246- 20
= 12.246 m/s
Therefore the car be moving at a speed of 12.246 m/s relative to the truck when they are side by side?
c) Distance travelled by car , s₁ = u₁t + 1/2a₁t²
= 20 (4.082) + 1/2 * 3 * (4.082)²
= 81.64 + 25
=106.64 m
Therfore the distance travelled by car is 106.64 m
d) Distance travelled by the truck , s₂ = u₂t
= 20(4.082)
= 81.64 m
Therfore the distance travelled by truck is 81.64 m
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What are the benefits of wind and solar?
Answers
As they lessen reliance on combustion-based electricity generation, wind and solar energy boost air quality, public health, and greenhouse gas emissions.
What are three advantages of solar energy?Solar energy has advantages as a renewable energy source. The fact that solar energy is a completely renewable energy source is the most significant of all the advantages of solar panels. Reduces electricity costs and has many uses. Costs of maintenance are low.
What advantages do solar panels offer?A clean, emission-free, and sustainable energy source is home solar power. Home solar energy, as opposed to fossil fuels like coal and natural gas, doesn't emit hazardous pollutants or greenhouse gases like carbon dioxide into the air and water supplies.
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What is the frequency symbol?
Answers
Answer: f
Explanation:
It's just 'f'
just as a traffic light turns green, a waiting car starts off with a constant acceleration of 6.0 m/s2 . at the instant the car begins to accelerate, a truck with a constant velocity of 21 m/s passes in the next lane. (a) how far will the car travel before it overtakes the truck? (b) how fast will the car be traveling when it overtakes the truck?
Answers
(a) The car travels a distance of 147 m before it overtakes the truck.
(b) At the moment when car overtakes the truck, the speed of car was 21 m/s
Let us assume that the time taken by the car to overtake the truck = t seconds
Now calculating the distance travelled by car and truck during this time,
Using the kinematic equation for calculating the distance travelled by car and the truck:
The distance travelled can be computed by the relationship [tex]s= 0.5at^2[/tex]
Distance travelled by car will be [tex]S_{car} =0.5 \times 6\times t^2=3t^2 \:m[/tex]
Distance travelled by truck will be [tex]S_{truck}=21 \times t = 21t \:m[/tex]
At the instant of overtaking
Distance travelled by car = Distance travelled by truck
[tex]3t^2 = 21t\Rightarrow t = \frac{21t}{3t}=7\:sec.[/tex]
So, the distance travelled by car before it overtakes will be 3*7*7 = 147 m
(b) As Car have crossed the truck in 7 sec. after covering a distance of 147 m.
So, at the moment of overtaking the truck the speed of the car will be = 147/7 = 21/s
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What type of friction is sliding?
Answers
Sliding friction, also known as kinetic friction, is indeed a contacting force that opposes the motion of two items sliding against one another or between a body and a substrate.
How can kinetic friction be determined?
Ff=kFN F f = k F N, where k is the multiplier of frictional force and FN is the object's normal force, is the equation for kinetic friction.
Which four forms of kinetic friction are there?
The force that prevents one solid item from moving across another is known as friction. Surface tension, sliding friction, rolled tension, and fluid friction are the four main categories of friction.
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the diagram shows an athlete crossing the finishing line in a race. as she crosses the finishing line, her speed is 10 m/s. she slows down to a speed of 4 m/s.
a)the mass of the athlete is 71 kg. calculate the impulse applied to her as she slows down.
Answers
Answer:
The impulse applied to the athlete as she slows down is 28 N*s.
Explanation:
To calculate the impulse applied to the athlete as she slows down, we can use the equation:
impulse = force * time
Since the force applied to the athlete is equal to her mass times her acceleration, we can also express the impulse as:
impulse = mass * (vf - vi) / time
Plugging in the values given in the question, we get:
impulse = 71 kg * (4 m/s - 10 m/s) / time
Solving for impulse, we get:
impulse = 28 N*s
Therefore, the impulse applied to the athlete as she slows down is 28 N*s.
Which sectors have the highest Scope 3 emissions?
Answers
Burning fossil fuels for transportation, heat, and power is the main cause of human-related greenhouse gas emissions in the United States.
What are the top three emissions sources?Notes. About 76 percent of all greenhouse gas emissions are made up of CO2. Methane, which is mostly produced by agriculture, accounts for 16% of greenhouse gas emissions, while nitrous oxide, which is primarily produced by industry and agriculture, accounts for 6% of total emissions.
What does oil and gas scope 3 entail?Indirect emissions from the production of purchased energy are considered scope emissions. All indirect emissions that occur upstream and downstream in the reporting company's value chain and are not covered by scope 2 are referred to as scope 3 emissions. 2.
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