An observer recorded the following data for the motion of a car undergoing constant acceleration.
Time (s)
3.0
5.0
6.0
Speed (m/s)
4.0
7.0
8.5
What was the magnitude of the acceleration of the car?
4.5 m/s2
O 2.0 m/s2
3.0 m/s2
1.5 m/s2
Option D) 1.5 m/s² is the correct answer.
The magnitude of the acceleration of the car is 1.5 m/s².
given the data in the question;
record of the observation;
Time(s) Speed(m/s)
3.0 4.0
5.0 7.0
6.0 8.5
Since its undergoing constant acceleration, we can make use any two from the three data recorded.
So, lets consider motion between t₁ = 3.0s and t₂ = 5.0s
Initial velocity at t₁ ; u = 4.0 m/s
final velocity at t₂; v = 7.0 m/s
Now, Time Elapsed; [tex]t = t_2 - t_1 = 7.0s - 5.0s = 2.0s[/tex]
To determine the magnitude of acceleration "a", we use the first equation of motion which says;
[tex]v = u + at[/tex]
we make "a" the subject of the formula
[tex]a =\frac{v - u}{t}[/tex]
so we substitute in our values;
[tex]a = \frac{(7.0m/s) - (4.0m/s)}{2.0s}[/tex]
[tex]a = \frac{3.0m/s}{2.0s}[/tex]
[tex]a = 1.5 m/s^2[/tex]
Therefore, the magnitude of the acceleration of the car is 1.5 m/s².
Option D) 1.5 m/s² is the correct answer.
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Alice added sodium chloride to water and stirred the water for several minutes. Alice is most likely trying to demonstrate that ionic compounds
A. are hard
B. can dissolve
C. are clear.
D. can melt.
Answer:
Can dissolve
Explanation:
How long does it take a cyclist to increase his velocity from 4.0m/s to 10m/s if he accelerates at 3.0m/s2
Write how the pairs of words or phrases are alike and different. Conservation of energy and energy transferConservation of energy: Energy is neither created nor destroyed in an ordinary chemical or physical process; this is also known as the first law of thermodynamics.Energy transfer: The transfer of energy from one object to another or from one form to another.Alike: Different:
Answer:
Similarities:
Energy can be transferred from one form to another in both systems.
Difference:
Energy can only be created or destroyed in conservation of energy.
Explanation:
Conservation of energy: tell us that energy can neither be created nor destroyed, but can be transferred from one form to another. e.g Chemical to mechanical ( combustion of fuel in vehicle to achieve mechanical work. )
Energy transfer Conservation
Energy can be stored or transferred from one form to another, but it cannot be created or destroyed.
Similarities:
Energy can be transferred from one form to another in both systems.
Difference:
Energy can only be created or destroyed in conservation of energy.
A ball is shot horizontally at 17.3m/s from the roof of a building 55.2 m tall, (use g = 9.8 m/s ^ 2) How far from the base of the building does the ball land?
Given that,
The initial speed of a ball, u = 17.3 m/s
It is shot from the roof of a 52 m tall building, h = 52 m
It is required to find the distance from the base of the building the ball land. Let the distance be d.
Final velocity of the ball, v = 0 (when it lands)
We can use third equation of motion to find it.
[tex]v^2-u^2=2ad[/tex]
a = -g
[tex]-u^2=-2gd\\\\d=\dfrac{u^2}{2g}\\\\d=\dfrac{(17.3)^2}{2\times 9.8}\\\\d=15.26\ m[/tex]
So, it will land at a distance of 15.26 m.
Find the potential energy of the bowling ball from the exercise above that is sitting on a shelf 2 meters high. Remember that g = 9.8m/s. Write equation, substitute values and units into equation, and show final answer.
Answer:
Explanation:
bv
Calculate the image position of an object located 25 cm from a concave lens with a focal length 5.0 cm
A force of 6.0 Newton’s gives a 2.0kg block an acceleration of 3.0m/s to the right. The force of friction acting on the block is?
What is the distance between two spheres (20 kg and 30 kg) attracted by a force of 2 x 10^-5 Newtons.
Can someone explain which of Newton’s Law is demonstrated in part 1 and which is demonstrated in part 2? (Picture)
Answer:
Every action has an equal and opposite reaction. If the student doesn't push, nothing moves, is one student pushes, both move which is an example of newtons third law.
Explanation:
Johnny often hits his brother even though his brother does not do anything to the tag and eyes assume Johnny aggression is more like most likely due to a combination of
Consider any ocean wave, what is the relationship between an ocean wave and the energy of that wave?
A) Wave energy decreases as the wave moves closer to the shore
B) The greater the wavelength, the more kinetic energy the wave has
C) Wave energy is directly proportional to the amplitude of the wave
D) Wave energy increases with frequency and decreases with wavelength
Answer:
C.
Explanation:
Wave energy is directly proportional to the amplitude of the wave. It is a square function.. double the amplitude (wind/solar power picks up) the energy in the ocean wave is quadrupled.
Wave energy is directly proportional to the amplitude of the wave. Therefore, option C is correct.
What is wave energy?Waves of heat, light, sound, and water carry a variety of energies. All types of energy can be converted into work because energy is defined as the capacity to perform work. The movement of an object in the direction of the force acting on it is referred to as work in science. When they move items, waves do really work. This process is evident when sand is carried or large logs are moved across ocean basins.
Work can also be transformed into the acoustic energy produced when waves crash on the coast. The potent force of waves can also be used to move generator components and generate electricity.
A wave's energy content is influenced by its height, wavelength, and breaking point in addition to other factors. When waves of identical wavelengths fall back to sea level, the wave with the greater amplitude will release more energy than the wave with the lesser amplitude. Therefore, option C is correct.
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please awnser and show the ways
Answer:
Answers in solutions.
Explanation:
Question 6:
The density of gold is 19.3 g/cm³
The density of silver is 10.5 g/cm³
The density of the substance in Crown A;Density = mass ÷ volume = [tex]\frac{1930}{100}[/tex] = 19.3 g/cm³
Since the density of gold, given, is 19.3 g/cm³ and the density of the substance in Crown A has a density of 19.3 g/cm³ , then that substance must be gold.
The density of the substance in Crown B;Density = mass ÷ volume = 1930 ÷ 184 = 10.48913043 g/cm³ ≈ 10.5 g/cm³ (answer rounded up to one decimal place)
Since the density of the substance in Crown B is approximately equal to 10.5 g/cm³ , then that substance is Silver.
The density of substance in Crown C;Density = mass ÷ volume = 1930g ÷ 150cm³ = 12.86666667 ≈ 12.9 cm³ (answer rounded up to one decimal place)
The density of the mixture:For 2 cm³ of the mixture, its mass equal 19.3 g + 10.5 g = 29.8 g
∴ for 1 cm³ of the mixture, its mass equal to [tex]\frac{29.8}{2}[/tex] = 14.9 g
Hence the density of the mixture = 14.9 g/cm³ and is not equal to the density of the substance in Crown C.
* Crown C is not made up of a mixture of gold and silver.
Question 7:
An empty masuring cylinder has a mass of 500 g.Water is poured into measuring cylinder until the liquid level is at the 100 cm³ mark.The total mass is now 850 gThe mass of water that occupied the 100 cm³ space of the container = total mass - mass of the empty container = 850 g - 500 g = 350 g
Density of the liquid (water) poured into the container = mass ÷ volume = 350 g ÷ 100 cm³ = 3.5g/cm³
Question 8:
A tank filled with water has a volume of 0.02 m³
(a) 1 liter = 0.001 m³
How many liters? = 0.02 m³ ?
Cross multiplying gives:
[tex]\frac{0.02 * 1}{0.001}[/tex] = 20 liters
(b) 1 m³ = 1,000,000 cm³
0.02 m³ = how many cm³ ?
Cross-multiplying gives;
[tex]\frac{0.02 * 1,000,000}{1}[/tex] = 20,000 cm³
(c) 1 cm³ = 1 ml
∴ 0.02 m³ of the water = 20,000 cm³ = 20,000 ml
Question 9:
Caliper (a) measurement = 3.2 cm
Caliper (b) measurement = 3 cm
Question 10:
A stone is gently and completely immersed in a liquid of density 1.0 g/cm³in a displacement canThe mass of liquid which overflow is 20 gThe mass of the liquid which overflow = mass of the stone = 20 g
1 gram of the liquid occupies 1 cm³ of space.
20 g of the liquid will occupy; [tex]\frac{20 * 1}{1}[/tex] = 20 cm³
(a) Since the volume of the water displaced is equal to the volume of the stone.
∴ The volume of the stone = 20 cm³
(b) Mass = density × volume
Density of the stone = 5.0 g/cm³
Volume of the stone = 20 cm³
Mass of the stone = 5 g/cm³ × 20 cm³ = 100 g
Chanel has some cotton candy that came in a cloudy shape. She wants to make it more dense. Which describes the candy before and after Chanel manipulated it? The candy before was a cube, and the candy after was a ball. The candy before was compacted, and the candy after was fluffy. The candy before was fluffy, and the candy after was compacted. The candy before was a ball, and the candy after was a cube.
Answer:
The candy before was fluffy, and the candy after was compacted.
Explanation:
By definition, something that is fluffy is something very soft, and when you talk about fluffy food (e.g. cakes, cotton candy) it is food that has a lot of air in it. In this case, the cotton candy originally had the shape of a cloud and was not dense, therefore, it was fluffy.
Something that is compact, it something that is dense, solid and generally small. Since Chanel wanted her cotton candy to be more dense, she compacted it .
Answer:
c
Explanation:
Is nitrogen a compound
Answer:
Nitrogen gas (N2) is a molecule because the bond between the nitrogen atoms is a molecular bond. Water (H2O) is a molecular compound because it is a substance made from more than one kind of element that is held together with molecular bonds
Explanation:
An oil drop (m = 1.6 x 10-16 kg) is suspended between plates separated by 1.8 cm. The voltage
across the plates is 125 V. Is this possible?
Answer:
E = V / d 125 V / .018 m = 6940 V/m electric field
F = E Q force on Q due to E
F = E n e where n is the number of electrons in Q
m g = E n e
n = m g / E e where n is the number of electrons e needed to support drop
n = 1.6 * 10E-16 * 9.8 / (6940 * 1.6 * 10E-19)
n = 1.41
Since n needs to be an integral number of charges, the drop would
not be suspended (motionless under these conditions).
Igneous rocks are formed from _____.
sedimentary rocks
fossils and shells
magma
eroded land
Answer:
magma
Explanation:
actually cooling and solidification of magma
my little cousin wanted me to ask this so, How does thermal energy travel to Earth?
Heat moves in three ways: Radiation, conduction, and convection. Radiation happens when heat moves as energy waves, called infrared waves, directly from its source to something else. This is how the heat from the Sun gets to Earth. In fact, all hot things radiate heat to cooler things.
Q. If space is vaccumed then how moon is attracted to earth by it gravity?
Answer:
The vacuum of outer space is not caused by the expansion of the universe, but is caused by gravity.
Explanation:
what is v^2=0.05-4.9 please i need this asap
Answer:
v =2.02
Explanation:
v^2=0.05-4.9
v^2=-4.85
square root both side
v=2.02
^^^^this is a not a perfect square
5. A vehicle having a mass of 1000 kg had an accident on a wet, but level, concrete road under foggy
conditions. The tires were measured to have y = 0.55 on wet concrete. The driver locked the
brakes, skidded for 6 seconds, and then hit the guardrail causing a very small dent because the
vehicle stopped just as it touched the guardrail. The driver claimed to be driving 65 miles per hour
(29 m/s). You have been hired as an investigator to determine if the driver is telling the truth.
a. What is the weight of the vehicle?
b. The frictional force produces the negative acceleration that reduces the velocity of the
vehicle from its initial unknown speed to zero. Find the value of the frictional force.
Use the frictional force to calculate the acceleration (remember that it is a negative
number). Hint: Use Newton's 2nd Law.
d. Using your acceleration from partc, what was the driver's initial velocity? Hint: Use this
equation - The final velocity is 0 m/s.
6. Complete this form to let me know what your questions are. This helps me get you the help you
need - either during class or individually through videos
Answer:
Explanation:
1) weight = mg = 9.81*1000 = 9810 Newtons
2) frictional force = normal force *
we must assume that the vehicle is on a flat surface so therefore the normal force is the same as the weight of the vehicle.
frictional force = 9810 * 0.55 = 5 395.5 N
3) acceleration: F = ma, a = F/m
assume that only the frictional force is acting on the vehicle:
a = 5395.5/1000 = 5.3955 m/s
4) the car decelerates at 5.3955m/s
over 6 seconds, the car decelerates by: 32.37m/s
5) original speed = 29m/s final speed = 29-32.37 = -3.37m/s which is a negative number, therefore the vehicle would have stopped before it hit the rail.
6) to get to the rail, the vehicle would have had to be traveling at least 32.37m/s which is 72.41 mph
which of the following is most likely to happen when energy is transferred to an object?
Answer:
B. the object will begin to move
Explanation:
If energy is transferred the object will definitely change so it CANNOT be "A". If you add energy the object will have more force so it CANNOT be "C". The mass of an object can't increase just by giving an object energy so it CANNOT be "D"
The magnitude of vector A is 10. Which of the following could be the components of A?
a) Ax= 5 , Ay= 5
b) Ax= 6 , Ay= 8
c) Ax= 7 , Ay= 9
d) Ax= 10 , Ay= 10
Answer: B. Ax = 6, Ay=8
Explanation:
Using the formula for kinetic energy of a moving particle k=12mv2, find the kinetic energy ka of particle a and the kinetic energy kb of particle
b. remember that both particles rotate about the y axis. express your answers in terms of m, ω, and r separated by a comma.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The kinetic energy for particle a is [tex]K_a = \frac{9}{2} mr^2 w^2[/tex]
The kinetic energy for particle b is [tex]K_b = m w^2r^2 [/tex]
Explanation:
From the question we are told that
The mass of particle a is [tex]m[/tex]
The mass of particle b is [tex]2 m[/tex]
Generally the kinetic energy for particle a is mathematically represented as
[tex]K_a = \frac{1}{2} m v^2[/tex]
Here [tex]v_a[/tex] is the linear velocity of particle a which is mathematically represented as
[tex]v_b = w * 3r[/tex]
So
[tex]K = \frac{1}{2} m {w * 3r}^2[/tex]
=> [tex]K_a = \frac{9}{2} mr^2 w^2[/tex]
Generally the kinetic energy for particle a is mathematically represented as
[tex]K_b = \frac{1}{2} 2m v_b^2[/tex]
Here [tex]v_b[/tex] is the linear velocity of particle a which is mathematically represented as
[tex]v_b = w * r[/tex]
So
[tex]K_b = m (wr)^2[/tex]
=> [tex]K_b = m w^2r^2[/tex]
The kinetic energy of the particle in terms of angular speed (ω), mass of the object (m) and the radius of the path is [tex]\frac{1}{2} m \omega ^2 r^2[/tex].
The given parameters;
kinetic energy of the particle, K.E = ¹/₂mv²The kinetic energy of the of the particle in terms of the angular velocity is calculated as follows;
[tex]K_b = \frac{1}{2} m (\omega r)^2\\\\K_b = \frac{1}{2} m \omega ^2 r^2[/tex]
where;
m is the mass of the objectω is the angular speed of the objectr is the radius of the circular pathThus, the kinetic energy of the particle in terms of angular speed (ω), mass of the object (m) and the radius of the path is [tex]\frac{1}{2} m \omega ^2 r^2[/tex].
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HELP FAST PLEASE. NEWTON'S LAWS.
What happens to the structure of an atom when the atom is ionised?
Answer: Explanation:
If the number of electrons is equal to the number of protons then the atom is uncharged and is electrically neutral. However, atoms can gain or lose electrons: increasing or decreasing the negative charge. Ionisation is the addition or removal of an electron to create an ion. ..Gaining an electron creates a negative ion.
What does normal force have to do with gravity?
Answer:
grav times mass equals force
Explanation:
Which two options are forms of kinetic energy?
A. Nuclear energy
B. Thermal energy
C. Chemical energy
D. Gravitational energy
E. Sound energy
Answer:
B. Thermal energy
E. Sound energy
Explanation:
Thermal and sound energy is kinetic energy.
Kinetic energy is the energy that results as a function of the motion of a body or the particles of the medium.
Sound energy is transmitted by the vibration of the particles in the air. The vibration leads to movement of the particles and hence, kinetic energy is produced.
Thermal energy originates as a result of the temperature differences in a body. This temperature difference leads to the increase in the kinetic energy of some particles which also causes vibration and motion of the particles.
The two options which are forms of kinetic energy include:
Thermal energySound energyWhat is Kinetic energy?Kinetic energy is the form of energy possessed by a body by virtue of its
motion.
Thermal energy possesses kinetic energy as a result of the high
temperature bringing about an increase in the collision of the particles.
Sound energy also possesses kinetic energy as a result of the vibrations
through the movement of energy in a medium.
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What is the mass of a 7 kg bowling ball on the moon?
Answer:
7 kg
Explanation:
Mass remains the same, regardless of gravity. If the mass of the bowling ball is 7kg on Earth, the mass on the moon will be 7kg as well.
A large bottle contains a number of medicinal tablets each having a mass of 250
mg. The mass of all the tablets is 1 kg. Calculate the number of tablets in the bottle.
Given parameters:
Mass of each tablet = 250mg = 0.25g
Mass of all tablets in the bottle = 1kg = 1000g
Unknown:
Number tablets in the bottle = ?
Solution:
The number of tablets in the bottle;
Number of tablets = [tex]\frac{mass of all tablets in the bottle}{mass of each tablet}[/tex]
Mass is the amount of matter that makes up a substance
Number of tablets = [tex]\frac{1000g}{ 250 x 10^{-3} }[/tex] = 4000 tablets
Considering the rule of three, the number of tablets in the bottle is 4.
In first place, the rule of three is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied.
To solve a direct rule of three, the following formula must be followed, being a, b and c known data and x the variable to be calculated:
a ⇒ b
c ⇒ x
So: [tex]x=\frac{cxb}{a}[/tex]
The direct rule of three is the rule applied in this case as follow: if 250 mg = 0.250 g is the mass of 1 medicinal tablet, 1 kg = 1000 g is the mass of how many medicinal tablets?
0.250 grams ⇒ 1 medicinal tablet
1000 grams ⇒ x
Then:
[tex]x=\frac{1000 gramsx1 medicinal tablet}{0.250 grams}[/tex]
x= 4 medicinal tablets
Finally, the number of tablets in the bottle is 4.
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