1. A racing car moving with constant acceleration covers two successive kilometres in 30 seconds and 50 seconds respectively. find the acceleration of the car.
2. A ball is thrown vertically upwards with a velocity of 20 metre per second from the top of a multi-storey building the height of the point from where the ball is from 25 m from the ground.
Answers
The acceleration of the car is calculated as 10 m/s.
What is acceleration?The acceleration is the rate of change of velocity with time. Given that;
s = ut + 1/2 at^2
Assuming that the motion started from rest, u = 0 m/s
s = 1/2 at^2
2000 = 0.5 * a * (20)^2
a = 2000/ 0.5 * (20)^2
a = 10 m/s^2
2) The time taken to reach the maximum height is gotten from;
v=u+at
0=20+(−10)t
t=2s
Then time taken to reach the maximum height;
s = ut + 1/2 at^2
s = 20(2)+0.5(−10)(2)^2
s = 20m
The maximum height is therefore 45 m thus;
45=0+0.5(10)(t)^2
t = 3s
Total time= 3+2= 5s
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acceleration = a
1000 = u(30) + 0.5a(30)²
1000 = 30u + 450a
velocity after covering 1 km = u + 30a
1000= (u+30a) (20) + 0.5a (20)²
1000= 20u + 800a
u = 35a
putting the value of u in above equation
so, a = 2/3
2. refer to the above attachment
Related Questions
Identify each statement that describes a benefit of the scientific method. (Select all choices that apply)
Group of answer choices
a) It provides an answer to questions immediately.
b) It gives scientists a standardized way to approach a problem.
C) It gives scientists a common vocabulary for sharing information.
D) It reduces bias and judgment from personal experiences.
Answers
The statements that describe a benefit of the scientific method are as follows:
It gives scientists a standardized way to approach a problem. It reduces bias and judgment from personal experiences. It gives scientists a common vocabulary for sharing information.Thus, the correct options are B, C, and D.
What is the Scientific method?The scientific method may be defined as a strategy of research in which a problem is recognized, relevant data is collected, a conjecture is composed of this data, and the assumption is empirically tested to determine the outcome of particular research.
The scientific method never explains or provides an answer to any question immediately because it consists of a scripted format with certain parameters.
The scientific method uses the identical vocabulary for sharing information with one another in particular terminology.
Therefore, it is well described above.
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A kettle consumes 198 kJ to boil water. If 168 kJ was used to boil the
water, what is the efficiency of the kettle?
Answers
The efficiency of the kettle is 117.9%
What is efficiency?Efficiency is used to measuring how much work or energy we can conserve in a process. In other words, it is like comparing the output of the energy to the input of the energy in any given system.
It is also define as the ratio of Energy Input to the Energy Output. To express it in percent multiply it by 100.
Here, Efficiency = Energy output / Energy input
[tex]η =\frac{W_{out} }{W_{in} } * 100[/tex]
[tex]η = \frac{198kJ}{168kJ} * 100[/tex]
= 117.9%
So , the efficiency is 117.9%
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What is the magnetic field due to a very very long wire with current A at a perpendicular distance 0.30000000000000004 m away from the wire
Answers
The magnetic field due to a very long wire with current A is 6.67 x 10⁻⁷ A (Tesla).
What is magnetic field?
This is the region of space where the effect of magnetic force is felt.
The magnetic field due to a current carrying conductor is calculated as;
B = μI/2πd
where;
μ is permeability of free space = 4π x 10⁻⁷ Tm/AI is current in the conductord is the distance of field from the wireat a distance of 0.3 m
B = μI/2π(0.3)
B = 0.53μI
B = 0.53 x (4π x 10⁻⁷)I
B = 6.67 x 10⁻⁷ A (Tesla)
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What is the frequency in hertz of the UK
mains electricity supply?
Answers
Answer:
HERTZ=HZ
Explanation:
The ability for a muscle to work against a resistance for an extended period of time is.
Answers
Muscular Endurance refers to the ability for a muscle to work against a resistance for an extended period of time
Endurance :-
Perseverance is connected with the capacity to perform work over a drawn out timeframe. Youngsters, for instance, can play effectively for hours. Endurance can be impacted by a singular muscle, a muscle bunch, or the complete body. Muscle perseverance mirrors the capacity to support rehashed muscle compression and is connected with muscle strength.
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what type of bulb is unaffected
Answers
Nothing happens to the brightness of the light bulbs in the parallel circuit if the power supply is capable of supplying the additional current.
Which best describes solubility? the speed at which a substance dissolves the ability of one substance to dissolve in another the amount of surface area per a given mass the temperature at which subtances become a mixture
Answers
Answer:
The ability of a substance to dissolve into another, called the solvent.
Explanation:
That is why water is called "the universal solvent."
Because it can dissolve almost anything.
The speed and temperature have nothing to do with solubility.
Answer:
the ability of one substance to dissolve in another
Explanation:
which is a barrier to the correct interpretation of what you hear?
Answers
The a barrier to the correct interpretation of what you hear can occur due to different frame of reference.
What is frame of reference?A frame of reference is a particular set of beliefs or ideas on which you base your judgment of things.
A barrier in the correct interpretation of information can occur when two observers are in different frames of reference.
Thus, the a barrier to the correct interpretation of what you hear can occur due to different frame of reference.
The complete question is below:
Which is a barrier to the correct interpretation of what you hear?
-Different frame of reference
-Dissimilar vocabulary
-Differing accent
-Jargon usage
-Poor explanation
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a sample contains 100 g of radioactive isotope. How much radioactive isotope will remain in the sample after 1 half-life?
Answers
Answer:
[tex]\huge\boxed{50g}[/tex]
Definition:
Half-life- The time taken for half of the radioactive isotopes to decay.
Explanation:
How does radioactive decay work? Radioactive decay is a process by which unstable nuclei become more stable through the emission of alpha or beta particles or gamma rays.
Since a half-life is the time taken for half of the isotopes to decay, we can simply divide the initial mass of 100 grams by 2; this gives us 50 grams.
1) Divide 100g by 2.
[tex]\frac{100g}{2}=50g[/tex]
What is the unit of velocity ratio and why
Answers
Answer:
the unit of velocity is meter per second
Answer:
No unit
Explanation:
If this question is asking what the unit of velocity to velocity is i.e. v/v then there is no unit because the units are canceled.
A golfer wishes to chip a shot into the hole 50m away on flat level ground. if the ball flies to a maximum height of 25m, what speed must it have initially to reach the hole?
it's grade 11 physics, so the more equations the better, thanks :d
Answers
The speed the golf must have initially to reach the hole is 31.32`1 m/s.
What is projectile?When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.
A golfer wishes to chip a shot into the hole 50m away on flat level ground. if the ball flies to a maximum height of 25m.
The angle with which the ball flies,
tan θ = 25 m/ (50m/2)
tan θ =1
θ =45°
If u is the initial speed, the maximum height of the ball is
H = u² sin²θ / 2g
Put the values, we get
25 = u² sin²45 / (2x9.81)
u = 31.321 m/s
Thus, the initial speed is 31.321 m/s
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You launch a model rocket that has a mass of 1.5 kg.At a height of 300m,it is traveling at 125 m/s.what is the kinetic energy at this point
Answers
Answer:
zero
Explanation:
Because if the object is not in motion then it only posseses potential energy not kinetic energy
Which of these is most likely consequence of failing petroleum prices
Answers
More sales of traditional, large cars are the most likely consequence of falling petroleum prices.
ExplanationSince the majority of conventional, large cars employ combustion engines, these engines need petroleum fuel to operate.
As a result, Choice C—more sales of conventional, large cars—is one of the effects of dropping oil prices that is most likely to occur.
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whats the process to getting the answer
Answers
The third charge is in equilibrium, 2a/3
What is electric field?An electric property associated with each point in space when charge is present in any form.
The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.
According to the question,
force on it due to +4e= force due to +e
[tex]\frac{ k(4e)q}{x^{2} } = \frac{ k(e)q}{(a-x)^2}[/tex]
4(a-x)² = x²
2(a-x)=x
2a-2x =x
x= [tex]\frac{2a}{3}[/tex]
Therefore,
The position along the line XY is [tex]\frac{2a}{3}[/tex]
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The table describes the properties of four compounds.
Which compounds are most likely ionic?
Answers
Please help me! Uniform acceleration problem sheet:
In 1997, the thrust SSC, a turbofan powerd vehicle, acheive the land speed world record of 780.34 mph (1,223.65km/h) and became the first car to break the sound barrier. If it tool 1 minute for the thrust SSC to reach its top speed, what was the average acceleration during the time?
Answers
From the calculation, the value of the acceleration is 5.8 m/s^2.
What is uniform acceleration?The term uniform acceleration refers to a situation in which the velocity increases by equal amounts in equal time intervals.
Given the fact that the car started from rest and reached a velocity of 780.34 mph or 348.84 m/s in 1 minute of 60 seconds;
v = u + at
a = v/t
a = 348.84 m/s/ 60 seconds
a = 5.8 m/s^2
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ubes have sides of equal lengths. What is the fastest way to measure the volume of a cube-shaped table?
measure the length, width, and height of the table, then multiply those numbers
measure one side with a ruler, and multiply that number by itself three times
measure one side with a ruler, and multiply that number by itself and then by
measure the length, width, and height of the table, then multiply those numbers by
Answers
The quickest technique to calculate the volume of a cube-shaped table is to use a ruler to measure one side, then multiply that figure by three. Option B is correct.
How do you calculate the volume of a cube?Assume the side length of the cube under consideration is L units. The volume of the cube is then equal to L³ cubic units.
The volume of a cube is;
V = L³
Ubes have equal-length sides. The quickest technique to calculate the volume of a cube-shaped table is to use a ruler to measure one side, then multiply that figure by three.
Hence option B is correct.
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What is the difference between a conductor and an insulator?
Select one:
O a. An insulator transfers thermal energy while a conductor does not. Insulators do not
allow thermal energy to move through them.
Ob.
A conductor transfers thermal energy while an insulator does not.
O c.
Both conductors and insulators transfer thermal energy, but not electrical energy.
One of them does not transfer energy.
O d. Both conductors and insulators transfer electrical energy, but not thermal energy.
Answers
Answer:
b
Explanation:
An insulator does not transfer thermal or electrical energy but a conductor does
what is the index of the refraction?
Answers
Answer:
The value of index of refraction(n₂) is 1.26
Explanation:
look at the attachment above
PLEASE HELPP
just do the diagram
Answers
Answer:the line away from the spacecraft should be straight down (perpendicular to it). Label this M. This is the force of the moon on the spacecraft. A minuscule line upward from the moon towards the spacecraft shows the force of the spacecraft on the moon. Should be directly below the spacecraft and pointed straight up at it.
Explanation:
what would happened if there is no invented of machine?
Answers
if there were no invention of machines then life would have been more difficult and simple works could be hard to do. Even now we are using our phones, sitting in a AC room interacting to eachother from different places. without the invention of machines simple things like transportation would have been difficult. There would be horses and donkey for the transportation. There would be no electricity,no internet, no transportation, not even c computers or mobile etc. The market for business will be smaller, the knowledge and news about world would be less.
so the problem would have been bigger than we can imagine. But one thing is that nature could survive lot more compared to what we have done till now by destroying nature.
can a person run at a speed of 20 meters per second
Answers
Answer:
No
Explanation:
The fastest recorded time for a person to run 100 metres is 9.58 seconds, which is the equivalent of 10.4 metres per second
Answer:
No
Explanation:
Humans can run as fast as 19.3m/s, using their full possible energy.
Describe a situation in which friction changes the direction of a moving object.
Answers
Consider a person trying to push a large crate across a floor, as in the diagram. As they apply a force to push the crate along the floor in one direction, a frictional force is generated in the opposite direction.
[tex]study \: well.....[/tex]
which will have longer shadow: ben whose height is 5 feet tall and 2 inches or his brother mike who is 6 feet and 2 inches when they both stand under the sun around 10am? i need help asap and anyone get my answer now i will give branliest
Answers
Answer: I believe his brother, Mike, who is 6'2, will have the longer shadow.
which of the following travels the fastest
Answers
All move at the same speed.
Explanation:
Electronic magnetic spectrum includes radio waves, micro waves, infra red, visible light, ultra violet, x-rays, gamma rays. These all electromagnetic waves travel at the same speed of light of about 300,000,000 m/s through vacuum. Though they have different wavelength, their speed is same.
9. Ripening is a _______________ and spoiling is a ______________.
A. Physical reaction, chemical reaction.
B. Physical reaction, physical reaction.
C. Chemical reaction, physical reaction.
D. Chemical reaction, chemical reaction.
Answers
Answer:
C
Explanation:
Chemical reaction,physical
The actual mass of a sheet of copy paper is 4.5 g. What must be the actual mass of a 1 cm² plece of copy paper?
Show your calculations.
Answers
The actual mass of a 1 cm² piece of copy paper is determined as 0.0074 g.
Area of the sheet of paper in square centimetersArea = Length x Width
Area = (11 x 2.54 cm) x (8.5 x 2.54 cm)
Area = 603.22 cm²
Actual mass of the sheet of paperMass = area density/area
Mass = (4.5 gcm²)/(603.22 cm²)
Mass = 0.0074 g
The complete question is below:
A sheet of 8.5 inch by 11inch paper has a mass of 4.50 grams one square centimeter , 1cm2 of that sheet of paper will have a mass closets to ____grams ( (hint use 1inch = 2.54 centimeters and area = length times)
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Al 26.98 and S 32.06 calculate the number of formula units in 62.2 g sample of aluminum sulfide
Answers
The number of formula units would be 2.5 x [tex]10^2^3[/tex]
Formular unitThis is mathematically given as: mole x Avogadro number
Molar mass of the aluminum sulfide (Al2S3) sample = 26.98 x 2 + 32.06 x 3
= 53.96 + 96.18 = 150.14 g/mole
Mole of 62.2 g aluminum sulfide = 62.2/150.14 = 0.4143 moles
Formular unit = 0.4143 x 6.023 x [tex]10^2^3[/tex] = 2.5 x [tex]10^2^3[/tex]
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Look at the diagram. The electricity supplier charges 14p per unit. How much did this electricity cost over the 24 hour period
Answers
Total units
31487-3146323unitsCost°
14(23)$322One year consists of 365 days. this is closest to how many seconds?
Answers
1 year has 365 days
1 day has 24 hours
Each hour has 60 minutes
And each minute has 60 seconds
The number of seconds in 365 days is 365x24x60x60 = 31536000
So there is 31536000 seconds in 1 year
Hope it helped you!!
If one year consists of 365 days, this is closest to x = 3.15 × 10⁷ seconds.
What is the number of seconds in a year?
Given that;
Number of days in a year = 365Number of seconds in 365 days = ?Note that; there are 24 hours in a day, 1440 minutes in a day and 86400 seconds in a days.
1 day contains 86400 seconds
365 contains x seconds
x = 365 × 86400
x = 3.15 × 10⁷ seconds
Therefore, if one year consists of 365 days, this is closest to x = 3.15 × 10⁷ seconds.
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