Gravitational force depends on __________ and __________.
a.
mass, distance
c.
distance, strength
b.
mass, strength
d.
strength, speed
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer: pretty sure it’s A
Explanation:
Related Questions
Please help it’s question 2
Answers
Answer:
yeah I think it's B too.
What happens to a circuit's resistance (R), voltage (V), and current (1) when
you change the thickness of the wire in the circuit?
A. V and I will also change, but R will remain constant.
B. R and I will also change, but V will remain constant.
O C. R, V, and I will all remain constant.
OD. R and V will also change, but I will remain constant.
Answers
When you change the thickness of the wire in a circuit, option B. the resistance (R) and current (I) will also change, but the voltage (V) will remain constant.
The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area (thickness). As the thickness of the wire changes, the cross-sectional area changes, which in turn affects the resistance. Thicker wires have a larger cross-sectional area, resulting in lower resistance, while thinner wires have a smaller cross-sectional area, resulting in higher resistance. Therefore, changing the thickness of the wire will cause a change in resistance.
According to Ohm's Law (V = IR), the voltage (V) in a circuit is equal to the product of the current (I) and the resistance (R). If the voltage is kept constant, and the resistance changes due to the thickness of the wire, the current will also change to maintain the relationship defined by Ohm's Law. When the resistance increases, the current decreases, and vice versa.
However, it's important to note that changing the thickness of the wire will not directly affect the voltage. The voltage in a circuit is determined by the power source or the potential difference applied across the circuit and is independent of the wire thickness. As long as the voltage source remains constant, the voltage across the circuit will remain constant regardless of the wire thickness. Therefore, the correct answer is option B.
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A particle is moving along a straight line with an initial velocity of 8 m/s when it is subjected to a deceleration of a = (-1.6 v1/2) m/s2, where v is inm/s.
Determine how far it travels before it stops.
How much time does this take?
Answers
The acceleration of a particle is a= (-1.6 v1/2) m/s². The initial velocity of the particle is u = 8 m/s.
Now, let's use the formula: 2as = v² - u², where a = (-1.6v^(1/2)) m/s², u = 8 m/s, and v = 0 m/s 2 × (-1.6v^(1/2)) × s = 0 - 8²s = 64 / (2 × 1.6v^(1/2)) = 20v^(1/2)/4 = 5v^(1/2) meters.
This is the distance travelled by the particle before it stops.
We know that the final velocity of the particle is 0 m/s. The initial velocity of the particle is 8 m/s.
The acceleration of the particle is a = (-1.6v^(1/2)) m/s².
Let's use the formula to calculate the time it takes to stop the particle. It is:v = u + at 0 = 8 + (-1.6v^(1/2)) × t t = 8 / (1.6v^(1/2)) t = 5 / v^(1/2) seconds.
This is the time taken by the particle to come to rest.
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The particle travels approximately 12.5 meters before it comes to a stop. It takes approximately 5 seconds for the particle to reach zero velocity.
To determine the distance traveled before the particle comes to a stop, we need to integrate the velocity function over time. The given deceleration is expressed as a = -1.6√v , where v is the velocity in m/s. Since the initial velocity is 8 m/s, we can write the deceleration as a = -1.6√8. Integrating the acceleration with respect to velocity gives us the equation: ∫dv/(-1.6√v ) = ∫dt. Simplifying the integral and solving for t gives us t = 5 seconds.
To find the distance traveled, we integrate the velocity function with respect to time. The velocity function is given by dv/dt = -1.6√v. Separating variables and integrating, we get ∫dv/√v = ∫-1.6dt. Evaluating the integral and substituting the limits (from v = 8 m/s to v = 0), we find √v = -1.6t + C. Applying the initial condition v(0) = 8, we can solve for C and obtain C = √8. Plugging in the values for t and C, we get √v = -1.6t + √8. Squaring both sides and solving for v, we find v = \((1.6t - \sqrt{8} )^{2}\). Integrating the velocity function again with respect to time, we get ∫\((1.6t - \sqrt{8} )^{2}\) dt = ∫ds. Evaluating the integral and substituting the limits, we find s = 12.5 meters.
Therefore, the particle travels approximately 12.5 meters before coming to a stop.
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How much work does a horse do while moving a wagon 15 meters with a pulling force of 100N?
Answers
Answer:
the answer is 1500 you multiply the distance and force to get work
What is the difference between a meteor shower and just the occasional meteor
Answers
Answer: (see explanation below)
Explanation:
A meteor is a meteoroid (a space rock) that enters the earth's atmosphere. Because the earth's atmosphere is very dense, the meteoroid heats up and glows. A meteor shower is when the earth passes through the debris tail produced by a comet. The debris tail contains multiple small meteoroids.
at which of the first five labeled stages is the star in energy balance?
Answers
The star is in energy balance when its core energy production matches the amount of energy it radiates into space. This is only true when the star is a main-sequence star with a hydrogen core fusion and when it is a helium core-fusion star. It is out of energy balance at all other times, which is why it is either contracting or expanding.
Stars can squeeze various types of atomic fuel together, and it's through this process that we get almost every element in the universe. Stars contain a lot of mass which has a lot of gravity. The gravity pulls inwards, which could cause a star to collapse in on itself. In a main sequence star, this inward pull is balanced by the outward gas pressure due to the nuclear fusion reactions deep in the star's core. This balance is called hydrostatic equilibrium and stops the main sequence stars from collapsing.
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5. Michael wanted to see what kitchen cleaner worked best for cleaning her counters. He used Lysol, Clorox, Pine-sol, and just water. For each cleaner, he put 5 milliliters of grape juice on the counter, sprayed the cleaner, and wiped it with one paper towel.
Answers
Answer:
Michael wanted to see what kitchen cleaner worked best for cleaning his counters. He used Lysol, Clorox, Pine-Sol, and water. For each cleaner, he used 5 milliliters of grape juice on the counter, sprayed the cleaner, and wiped it with one paper towel. Which of the following would be a constant?
answer choices:
-Lysol
-Cleaning products
-5 milliliters of grape juice
-Cleanest countertop recorded
5 milliliters of grape juice will be constant.
Explanation:
The different cleaning agents have different cleaning capabilities and some will require more of its quantity than others to clean the counter.
Secondly, only the grape juice has a measured amount of 5 milliliters
Consider the Lyman series for atomic transitions in hydrogen. Part (a) Calculate the wavelength the first line in the Lyman series, in nanometers. Part (b) What type of electromagnetic radiation is it?
Answers
Consider the Lyman series for atomic transitions in hydrogen.
Part (a) The wavelength the first line in the Lyman series is 121.57 nanometers.
Part (b) Type of electromagnetic radiation is ultraviolet radiation.
The Lyman series refers to the set of spectral lines in the ultraviolet region that are associated with transitions of electrons in hydrogen atoms from higher energy levels to the n = 1 (ground) energy level. We can calculate the wavelength of the first line in the Lyman series using the Rydberg formula:
1/λ =\(R_H\) * (1 - 1/n²),
where λ is the wavelength of the line, \(R_H\) is the Rydberg constant for hydrogen (approximately 1.097 × 10⁷ m⁻¹), and n is the principal quantum number.
(a) To find the wavelength of the first line in the Lyman series (corresponding to n = 2), we substitute n = 2 into the formula:
1/λ = \(R_H\) * (1 - 1/2²).
1/λ = \(R_H\) * (1 - 1/4),
1/λ = \(R_H\) * (3/4),
λ = 4/(3 * \(R_H\)).
Using the given value of the Rydberg constant \(R_H\) = 1.097 × 10⁷ m⁻¹, we can calculate the wavelength:
λ = 4/(3 * 1.097 × 10⁷ m⁻¹),
λ ≈ 121.57 nm.
Therefore, the wavelength of the first line in the Lyman series is approximately 121.57 nanometers.
(b) The first line in the Lyman series corresponds to a transition from an excited state to the n = 1 ground state. Since the calculated wavelength falls in the ultraviolet region, it represents ultraviolet radiation.
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How is Venus similar to Earth?
Both have the same day length.
Both rotate in the same direction.
Both have ample water on their surfaces.
Both have a solid inner core and a liquid outer core.
Answers
Answer: D
Explanation: I have my answers VS. Go0gle answers (go0gle answers are pics)
(A) Both have the same day length. Well, Venus doesn't havve the same amount of days. (I already know off the top of my head, but I still searched it up)
(B) Both rotate in the same direction. In school (before Virus) they would always show diagrams of the planets on the projector and Venus doesn't rotate
(C) Both have ample water. No. Venus doesn't have much water >_>
(D) Both have a solid inner core and a liquid outer core. Yesh. In my lessons (before), Venus has a solid inner core and liquid outer core.
If the direction of a magnetic field around a vertical electrical wire is counter clockwise, what direction is the electrical current moving?
Answers
If the direction of a magnetic field around a vertical electrical wire is counter clockwise then the direction of the current will be from the bottom of the wire to the top.
What is a Magnetic field?The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling through a magnetic field. The magnetic field of a permanent magnet pulls on ferromagnetic substances like iron and attracts or repels other magnets.
Since a magnetic field's direction and strength can change depending on the location, it can be mathematically characterized by a function that assigns a vector to each point in space. This function is known as a vector field.
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An airplane travels 640 miles from topeka to houston in 3. 2 hours, going against the wind. The return trip is with the wind, and takes only 2 hours. Find the rate of the airplane with no wind. Find the rate of the wind.
Answers
When an airplane travels 640 miles from Topeka to Houston in 3. 2 hours, going against the wind. The return trip is with the wind and takes only 2 hours. Then the rate of the airplane with no wind is 260 miles/hr, and the rate of the wind is 100 miles/hr
Let Va is the velocity of the airplane
Va is the velocity of the wind
When flying against the wind then
(Va+Vw)*(3.2 hours) = 640
3.2Va + 3.2Vw = 640
3.2Vw = 640 - 3.2Va
Vw = 200 - Va----------------(1)
When flying with the wind:
(Va-V)*(2 hours) = 640km
2Va - 2Vw = 640
Va - Vw = 320 ----------------(2)
Putting the value of VW in equation (2) we get
Va - (200-Va) = 320
2Va = 320 +200
2Va = 520
Va = 260
Putting this value in equation (2)
Vw =Va - 360
Vw = 100
Therefore the rate of the airplane with no wind is 260 miles/hr, and the rate of the wind is 100 miles/hr
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n airplane that flies at 100 km/h in a 100 km/h hurricane crosswind (i.e., the wind is blowing perpendicular to the direction the plane is pointing) has a ground speed of:
A) 200 km/h
B) 0 km/h
C) 141 km/h
D) 100km/h
Answers
The ground speed of the airplane is approximately 141 km/h. Option C is the correct answer.
The ground speed of an airplane flying in a crosswind can be determined using vector addition.
The airplane's ground speed is the vector sum of its airspeed (100 km/h) and the velocity of the crosswind (100 km/h). Since the wind is blowing perpendicular to the direction the plane is pointing, we can use the Pythagorean theorem to find the magnitude of the ground speed.
Ground speed = √(airspeed² + crosswind velocity²)
Ground speed = √(100² + 100²)
Ground speed = √(10000 + 10000)
Ground speed = √20000
Ground speed ≈ 141.4 km/h
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Explain why the cyclist must be fed in order to continue to pedal? answer fast please
Answers
The cyclist must be fed in order to continue to pedal because food will
provide him/her with energy to continue with it.
Cycling and other forms of activities involve the use of energy by the body ton perform them and the energy dwindles with time which is why we eat everyday to gain more energy.
The cyclist will have to eat foods such as carbohydrates so as to have more
energy to continue to pedal.
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Lily took 6 hours to complete a journey at an average speed of 58 km/h. For the first 4 hours, she travelled at an average speed of 64 km/h. What was the distance for the rest of the journey?
Answers
Answer:
92km
Explanation:
Given parameters:
Duration of the journey = 6hrs
Average speed = 58km/hr
Now, let us find the total distance of the journey;
Distance = Speed x time
Distance = 58 x 6 = 348km
So;
Average speed for the first 4hrs = 64km/hr
Time = 4hrs
Distance = 64 x 4 = 256km
For the rest of the journey, the student will cover;
= 348km - 256km
= 92km
The largest deflection from the isoelectric line in the ECG is found in the Multiple Choice P wave. T wave. T-P segmept. QRS complex. P-R interval.
Answers
The largest deflection from the isoelectric line in the ECG is found in the QRS complex and is therefore denoted as option D.
What is a Wave?
This is referred to as a disturbance that travels through a medium from one location to another location.
QRS complex is the combination of three of the graphical deflections seen on a typical electrocardiogram which are Q wave, R wave and S wave. It is usually the central and most visually obvious part of the tracing because it has the largest deflection from the isoelectric line
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If you get too many fouls, you may not be able to play in the rest of the game.
A. True
B. False
Answers
Answer:
In the NBA that's true
How do you get DC current and AC current? from a generator?
Answers
Answer:
They do that by converting rotating mechanical energy into electrical power. Portable generators use an engine—typically running on gasoline, diesel, or propane, to turn an alternator which produces alternating electrical current or AC.
pestel analysis of capei soaps?
Answers
They must follow specific regulations concerning their products and the industry they operate in, they should also follow health and safety regulations to ensure that their products are safe for consumers to use.
Pestel analysis of Capei Soaps:
Political: The manufacturing company, Capei Soaps, must follow specific policies to make sure that they can conduct business in an ethical and efficient manner.
They must adhere to labor laws, environmental laws, and anti-corruption laws.
Economic: Capei Soaps operates in an industry that is heavily dependent on the economy.
As a result, any economic changes, including a recession, can impact their production and sales.
Capei Soaps should try to find ways to operate more cost-effectively, so that they can maintain their competitive advantage.
Social: Capei Soaps has to be mindful of the current social trends and consumer preferences.
They should produce environmentally-friendly soaps, as this is what consumers are looking for.
Technological: As technology is improving, it is critical for Capei Soaps to maintain technological advancements.
This is because they have to stay ahead of their competition and use the latest technology to produce more efficient soaps.
Environmental: Capei Soaps must be environmentally conscious and try to find ways to make their soaps more eco-friendly.
This could include utilizing renewable energy, using biodegradable packaging, and reducing their carbon footprint.
Legal: Capei Soaps has to make sure they are following all legal requirements.
They must follow specific regulations concerning their products and the industry they operate in.
They should also follow health and safety regulations to ensure that their products are safe for consumers to use.
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Express 48 m/s in terms of
1.km/h
2.m/min
3.km/s
4.km/minutes
Answers
48 m/s in terms of km/h is 720.8 km/h. In terms of m/min is 2880 m/min, in terms of km/s is 0.048 km/s and in terms of km/min is 2.88 km/min.
To solve this question, we need to understand some terms. The unit of velocity is measured in m/s. It can be expressed in different units of velocity.
1 km (kilometer) = 1000 meter
1 h (hour) = 3600 seconds
1 minutes = 60 seconds
To convert m/s into km/h,
48 m/s * 3600/1000 = 172.8 km/h
To convert m/s into m/min,
48 m/s * 60 = 2880 m/min
To convert m/s into km/s,
48 m/s ÷ 1000 = 0.048 km/s
To convert m/s into km/minutes,
48 m/s * 60 / 1000 = 2.88 km/min
Therefore, the 48 m/s expressed is 172.8 km/h, 2880 m/min, 0.048 km/s and 2.88 km/min.
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48 m/s is equivalent to 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.
To express 48 m/s in different units of velocity:
km/h (kilometers per hour):
To convert m/s to km/h, we can use the conversion factor of 3.6 since 1 m/s is equal to 3.6 km/h.
48 m/s * (3.6 km/h / 1 m/s) = 172.8 km/h
Therefore, 48 m/s is equivalent to 172.8 km/h.
m/min (meters per minute):
To convert m/s to m/min, we can use the conversion factor of 60 since there are 60 seconds in a minute.
48 m/s * (60 m/min / 1 s) = 2880 m/min
Therefore, 48 m/s is equivalent to 2880 m/min.
km/s (kilometers per second):
Since 1 kilometer is equal to 1000 meters, to convert m/s to km/s, we divide the value by 1000.
48 m/s / 1000 = 0.048 km/s
Therefore, 48 m/s is equivalent to 0.048 km/s.
km/minute (kilometers per minute):
To convert m/s to km/minute, we first need to convert m/s to km/s (as calculated in the previous step) and then multiply by 60 to convert seconds to minutes.
0.048 km/s * 60 = 2.88 km/minute
So, 48 m/s is equivalent to 2.88 km/minute.
Hence, 48 m/s is equivalent to approximately 172.8 km/h, 2880 m/min, 0.048 km/s, and 2.88 km/minute.
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The distance time graph of a body is a straight line parallel to the time axis. What
information does the graph convey regarding the motion of the object?
Answers
Explanation:
The object is not moving, because the distance is a constant value regardless of the time value.
You attend a concert and have a seat that is 70 m away from the stage where the sound is produced. How long does it take for the sound to reach your ears? You take a picture with your phone and send it to your friend who could not come to the concert. She lives in a town 45 miles away. How long does it take until she gets the picture on her phone? Please, include the assumptions that you make.
Answers
Given:
distance of observer from the sound source, \(s=70~m\)
distance between the source of image information sender and the receiver, \(d=45~miles=72420.48~m\)
Assumptions:
speed of sound, \(v=343~m/s\)
speed of the image information being sent, \(c=3\times 10^8~m/s\) (we assume it to be nearly the speed of light in vacuum)
Solution:
Time taken by the sound to reach the observer:
\(time=\frac{distance}{speed}\)
\(time=70\div 343\)
\(time \approx 0.2~s\)
Time taken by the image to reach the destination:
\(time=\frac{72420.48}{3\times 10^8}\)
\(time=2.4\times 10^{-4}~s\)
what is measurement ?
Answers
Answer:
Measurement is the assignment of a number to a characteristic of an object or event
Explanation:
Answer:
Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or event
Why is the choice of a radiopharmaceutical important in radioisotope imaging?
A diagram of a closed circuit with a power source on the left labeled 120 V. There are 3 resistors in parallel, separate paths, connected to it labeled 5.0 Ohms, 10.0 Ohms and 15.0 Ohms.
What is the equivalent resistance in this parallel circuit?
Ω
What is the voltage in the circuit?
V
What is the total current in the circuit?
A
Answers
The radiopharmaceutical is important in radioisotope imaging because it must be able to show the required organ correctly. The equivalent resistance is 2.72 ohm and the current is 44.1 A.
What is a circuit in parallel?We know that when a circuit have been connected in parallel then it means that the resistors have been connected to a common junction. It is clear that we have the circuit that have the resistors; 5.0 Ohms, 10.0 Ohms and 15.0 Ohms.
We then have;
1/R = 1/5 + 1/10 + 1/15
1/R = 0.2 + 0.1 + 0.067
R = 2.72 ohm
The current in the circuit can be obtained from;
I = 120 V/ 2.72 ohm
I = 44.1 A
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a patent clerk in a spaceship observes that time on the clock of an astronaut on a spaceship passing at 0.25c runs slower than does time on his own clock. this phenomenon is called
Answers
The phenomenon that occurs when the time on the clock of an astronaut on a spaceship passing at 0.25c runs slower than does time on a patent clerk's clock is called time dilation.
Time dilation:Time dilation is a phenomenon in which time passes at a slower rate for an observer in relative motion compared to a stationary observer, as predicted by the theory of relativity.
It also is a consequence of the theory of relativity, which predicts that time appears to run slower for objects that are moving relative to an observer.
In this case, the astronaut's clock appears to be running slower than the patent clerk's clock because the astronaut is moving relative to the patent clerk.
This effect becomes more pronounced as the speed of the spaceship approaches the speed of light.
At speeds close to the speed of light, time dilation becomes significant and can have practical implications, such as the need for correction factors in GPS systems that account for the time dilation effects of satellites in orbit.
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Cover each end of a cardboard tube with metal foil. Then use a pencil to punch a hole in each end, one about 3 millimeters in diameter and the other twice as big. Place your eye to the small hole and look through the tube at the colors of things against the black background of the tube. You'll see colors that look very different from how they appear against ordinary backgrounds.
Write down observation
Answers
This straightforward experiment illustrates the idea of colour perception and how the background against which an object is seen can affect it, can make a viewing device by covering the ends of a cardboard tube with metal foil, punching a small hole on one end, and a larger hole on the other.
The black background of the tube suppresses much of the ambient light and produces a gloomy atmosphere for viewing when you gaze through the tiny hole and see objects through it. In contrast to viewing items against common backdrops under typical lighting circumstances, this enables your eyes to adjust and perceive colours differently.
The little hole serves as a pinhole camera, which sharpens the image by limiting the quantity of light entering the tube. Contrarily, the bigger hole let in more light and broadens the field of vision. Because of this, objects visible through the little hole may appear to have more vivid and saturated colours than those visible through the bigger hole, which may appear washed out or lackluster.
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a student practicing for a cross country meet runs 250m in 30s. what is her average speed?
Answers
Answer:
If you're looking for an answer in m/s then 8.33.. ms^-1
Explanation:
To determine average speed then we simply need to divide the total distance travelled by the total time it took to travel that distance.
I.e. 250/30=8.33m/s
To convert this to km/h we simply need to multiply the answer in m/s by 3.6 which gives us approximately 30km/h
What type of energy is described above? A. sound energy B. light energy C. heat energy D. kinetic energy
Answers
Kinetic energy is the kind of energy mentioned. The energy an object has as a result of its motion is known as kinetic energy.
What kind of energy are light and sound?Sound is a pressure density wave, whereas light is an electromagnetic wave. Sound must pass through a medium in order to be heard, but light does not. Sound energy is a continuous stream of energy on the scale while light energy is quantized into packets of energy called photons.
Why is energy in the form of sound?Sound is the longitudinal (compression or rarefaction) wave-based transfer of energy through materials. When a force causes an object or substance to vibrate, sound is created. That is to say, the substance serves as a conduit for the energy.
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The type of energy mentioned is kinetic energy. Kinetic energy is the energy that an object has as a result of motion.
Light and sound both include what kind of energy?Light is an electromagnetic wave, whereas sound is a pressure density wave. Light does not require a medium for transmission, but sound must. On the scale, sound energy flows continuously, whereas light energy is quantized into units of energy called photons.
What causes energy to manifest as sound?The longitudinal wave-based transport of energy through materials is known as sound. Sound is produced when a force causes an item or substance to vibrate. In other words, the substance acts as a conduit.
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____________ energy the energy of motion, observable as the movement of an object or subatomic particle. Every moving object and particle have this energy. A person walking, a soaring baseball, a crumb falling from a table and a charged particle in an electric field are all examples of this energy at work.
What type of energy is described above? A. sound energy B. light energy C. heat energy D. kinetic energy
if you add a vector with a magnitude of 1 to a vector of magnitude 2, what magnitudes are possible for the vector sum?
Answers
If you add a vector with a magnitude of 1 to a vector of magnitude 2, the possible magnitudes for the vector sum range from 1 to 3.
This is because of the triangle inequality theorem.The triangle inequality theorem states that the magnitude of the sum of two vectors is less than or equal to the sum of their magnitudes. In other words, if we have two vectors A and B, then the magnitude of their sum C is given by:
|C| ≤ |A| + |B|
If we have a vector of magnitude 1, we can call it vector A. If we have a vector of magnitude 2, we can call it vector B.
Then the magnitude of their sum, vector C, is given by:|C| = |A| + |B|.
Since |A| = 1 and |B| = 2, we can substitute those values into the equation: |C| = 1 + 2
|C| = 3
Therefore, the maximum magnitude of the vector sum is 3.
However, the minimum magnitude of the vector sum is found when the vectors are pointing in opposite directions.
In this case, the magnitude of the sum would be:
|C| = |B| - |A|
|C| = 2 - 1
|C| = 1.
Therefore, the possible magnitudes for the vector sum range from 1 to 3.
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A race car accelerates on a straight track from 0 to 100 km/h in 6 seconds. Another race car accelerates from 0 to 100 km/h in 5 s. What are the velocities and accelerations of the cars during their races?
Answers
Answer:
50
Explanation:
A race car accelerates on a straight track from 0 to 100 km/h in 6 seconds. Another race car accelerates from 0 to 100 km/h in 5 s. the velocities and accelerations of the cars during their races would be 27.77 m/s, 27.77 m/s a₁=4.629 m/s² a₂=5.554 m/s² respectively
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².
As given a race car accelerates on a straight track from 0 to 100 km/h in 6 seconds. Another race car accelerates from 0 to 100 km/h in 5 s.
By using newton's first equation of the motion for the first car
v= u +at
as the car starts from the rest u =0
v₁= 100 km/h and t= 6 seconds
v₁ = 100 ×1000/3600 m/s
v₁ = 27.77 m/s
By substituting the values in the equation
v₁= 0 + a×6
27.77 m/s = 6a
a₁ = 27.77/6
a₁=4.629 m/s²
Similarly By using newton's second equation of the motion for the second race car
v= u +at
as the car starts from the rest u =0
v₂= 100 km/h and t= 5 seconds
v₂ = 100 ×1000/3600 m/s
v₂ = 27.77 m/s
By substituting the values in the equation
v₂= 0 + a×5
27.77 m/s = 5a
a₂= 27.77/5
a₂=5.554 m/s²
Thus, the velocities and accelerations of the cars during their races would be 27.77 m/s, 27.77 m/s a₁=4.629 m/s² a₂=5.554 m/s² respectively
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True or false. A small amount of mass can produce a large amount of energy
Answers
The satement is true.
This comes from the fact that, according to Einstein:
\(E=mc^2\)and since c² is a very large number then, if we find a way to convert all the mass in energy a small amount will produce a large amount of energy.