The force of gravity between two objects is directly proportional to the product of their masses and inversely related to the square of distance between them.
We have a Pair of objects.
We have to discuss about the force of gravity between them.
What is Gravity ?In physics, gravity is a fundamental interaction which causes mutual attraction between all things with mass or energy.
According to the question -
Assume that the mass of objects are m and M. They are separated by distance r apart.
According to the Newton's law of gravitation - the force of gravity between the two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Therefore, the force of gravity between m and M will be -
[tex]$F = \frac{GMm}{r^{2} }[/tex]
Hence, the force of gravity between two objects is directly proportional to the product of their masses and inversely related to the square of distance between them.
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Two particles are at the same point at the same time, moving in the same direction. Par- ticle A has an initial velocity of 7.7 m/s and an acceleration of 1.8 m/s². Particle B has an initial velocity of 2.9 m/s and an acceleration of 5.7 m/s². At what time will B pass A? Answer in units of s.
The particle B will pass particle A in 1.10s.
Equation :Using kinematic formula,
d = Vini x t + 1/2 at²
where,
d is distance
Vini is velocity initial
a is acceleration
t is time
So, putting values
7.7 t + 1/2 x 1.8 t^² = 2.9 t + 1/2 x 5.7 t²
7.7 t + 2.7 t² = 2.9 t + 8.55 t²
t + t² / t + t² = 2.9 + 8.55 / 7.7 + 2.7
t = 1.10s
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A certain net force acting on a 5kg mass produces an acceleration of 2 m/s2 calculate the force
Answer:
10 N
Explanation:
Newton's Second Law equation: Fnet = ma
Assuming no frictional force, plug in the values to get your answer!
Fnet = 5kg x 2m/s^2 = 10 N
pls help i do not understand this and it’s a unit test question is in the picture :))
The sides of a small rectangular box are measured to be 1.80 ± 0.01 cm, 2.05 ± 0.02 cm, and 3.1 ± 0.01 cm long. Its volume and uncertainty is 11.4 ± 0.2 cm³.
What is true value?While doing certain experiments or calculation we can end a less precise value that what actually it's the answer of the experiment, this exact value of the experiment is called true value.
What is uncertainty in physics?In physics uncertainty refers to the possible variation from the true value. Variation is calculated for possible increment in the precision of the result.
These are the rules for doing basic operation on uncertainty :
If you're adding or subtracting quantities with uncertainties, you add the absolute uncertainties.
If you're multiplying or dividing, you add the relative uncertainties.
If you're multiplying by a constant factor, you multiply absolute uncertainties by the same factor, or do nothing to relative uncertainties.
Now in the given question we have to multiply the uncertainty, so we will simply add the relative error.
To find volume of the cubic structure we simply multiply the error free values.
Volume of the cuboid = Length × Breadth × Height
Volume of the cuboid = 1.80 cm × 2.05 cm × 3.10 cm
Volume of the cuboid = 11.4 cm³
Uncertainty in the volume[tex]= \frac{0.01\ cm}{1.80\ cm} \times 100\% + \frac{0.02\ cm}{2.05\ cm} \times 100\% + \frac{0.01\ cm}{3.1\ cm} \times 100\%[/tex]
= (0.55 + 0.97 + 0.32) × 11.4
= 1.84 × 11.4
= 20.976
Now,
δA = Percent Uncertainty / 100%
= 20.976 / 100
= 0.2 cm³
Thus from the above conclusion we can say that Its volume and uncertainty is 11.4 ± 0.2 cm³.
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Which term is defined as a guess informed by observations?
O theory
O law
O principle
O hypothesis
Hi !
Answer:
Which term is defined as a guess informed by observations?
O hypothesis
If a falling rock were somehow equipped with a speedometer, what would the speedometer reading on the falling rock be 4.5 seconds after it drops from rest?
How about 8 seconds after it is dropped?
Om/s and 4 m/s
45 m/s and 80 m/s
4.5 m/s and 8 m/s
Answer: 45 m/s and 80 m/s
Explanation:
The acceleration due to gravity on an object is 9.8 m/s^2
Simply multiple this my the the time that it has fallen (in seconds) and this will provide you with its velocity at that time.
(4.5 seconds) (9.8) = 44.1 m/s
(8 seconds) (9.8) = 78.4 m/s
Values are rounded off for the final answer.
A 120 V power supply is used to power a TV. If the TV draws 0.25 A of current and the TV is used for 1.20 h, how much energy, in kilojoules, is used?
The amount of energy used by the TV is 129.6 kJ.
What is electric energy?Electric energy is the product of charge and potential difference.
To calculate the amount of electric energy used, we use the formula below.
Formula:
E = Vit................................. Equation 1Where:
E = Electric energyV = Voltagei = Currentt = timeFrom the question,
Given:
V = 120 Vi = 0.25 At = 1.2 h = (1.2×3600) = 4320 sSubstitute these values into equation 1
E = 120×0.25×4320E = 129600 JE = 129.6 kJHence, the amount of energy used by the TV is 129.6 kJ.
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How many generations passed if a generation is 1/3 lifetime and approximate lifetime is 70 years
88 generations have passed.
A generation is a collective term for all individuals who were born and are still alive at around the same period. The average time frame, commonly regarded to be between 20 and 30 years, during which children are born, grow up, become adults, and start having children is another way to put it. It is a structural term used to describe the parent-child relationship in kinship terminology.
In social science, the terms "generation" and "cohort" are sometimes used interchangeably to refer to "individuals within a defined population who experience the same key events over a certain period of time." These birth cohorts, usually referred to as "social generations," are frequently employed in popular culture and have served as the foundation for sociological study.
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A 10,000-Ω resistor has a tolerance of 5%. What is the maximum values of this resistor?
The maximum value of the resistance is 105,000 Ω
What is the maximum value of the resistance?
We are given the following properties of the resistor as;
Resistance = 10,000-Ω
Tolerance = 5%
Now, when we say a tolerance of 5%, it means the value of the resistance can only reduce or increase by a maximum of 5%.
Thus;
For a decrease of 5%, we would get the minimum value of the resistance which is;
Minimum value = (100% - 5%) * 10000
Minimum value = 95000 Ω
Then the maximum value of the resistance is;
Maximum Value = (100% + 5%) * 10000
Maximum Value = 105,000 Ω
Thus, the maximum value of the resistance is 105,000 Ω
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A bird glides for 24 minutes and covers 2.6 kilometers. What was its average speed?
Answer:
6.5 km/ h
Explanation:
24 minutes = 24/60 = 0.4 hours
v = 2.6 / 0.4 = 6.5 km/h
Hope this helps
4. Summarize the patterns of sensory and perceptual development in infancy.
The physical stimulation of the sense organs is known as sensation. The act of mentally classifying, interpreting, analyzing, and integrating stimuli from the senses and the brain is known as perception.
The sensory world of a baby is not as stable and clear as our own as adults. The infant's capacity for the environment's sensory and perceptual development happens day by day.Babies begin to group sounds into intricate patterns. From the moment of birth and even before, infants hear. Infants start to show a sense of musical phrasing between 4 and 7 months.Infants are able to differentiate almost all of the sounds used in human languages, and they prefer listening to human speech to other sounds.Humans rely on vision more than any other sense when it comes to investigating their environment.Even very young infants have a highly developed sense of smell, and some 12- to 18-day-old babies can recognize their mothers just by smell.Therefore, sensory and perceptual development is very necessary in infants.
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in physics, a blank is a group of related objects that interact with eachother and form a complex whole
In physics, a system is a group of related objects that interact with each other and form a complex whole.
What is a system?In sciences (i.e., physics, chemistry and biology) a system can be defined as an interrelated group of different elements or parts that work together to perform a given function.
In conclusion, in physics and science disciplines in general, a group of related objects that interact in order to form a complex whole is commonly referred as a system.
Complete question:
Fill in the blank. In physics, a ____ is a group of related objects that interact with each other and form a complex whole.
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A patient is weighted by a scale on a deep-sloped floor part. The reading is the component of weight perpendicular to the slop. The reading is ___ the true weight.
A- more than
B- half of
C- less than
D- the same as
Answer:
Measuring a patient's body weight can be done to Assess and monitor fluid and nutrition status as part of a nutrition screening tool. Calculate drug doses. Calculate nutrition and fluid support if required. Monitor the effectiveness of nutritional support.
Explanation:
One way to determine the age of Earth is to measure the ratio of certain radioactive elements to their more stable forms. By comparing the amount of the
radioactive form of an object with the stable one, and by knowing how long it takes to turn from one to the other, scientists can estimate the age of the object.
Some people argue that the decay rate has not always been the same and that it can be much faster than scientists have measured in labs.
Nuclear power plants use radioactive elements to produce power because, during the decay process, energy is released.
If scientists are wrong about Earth's age based on radioactive material and the decay rates are really much faster, how would nuclear power plants be affected?
OA. Nuclear fuel would remain useful longer.
OB. The rate of energy release would be higher.
OC. The amount of energy released would be less.
OD. Nuclear fuel would generate less radioactivity.
Answer:
A
Explanation:
A laptop battery has an emf of 11.4 V. The laptop uses 0.60 A while running. By how much does the electric potential energy of this charge increase as it moves through the battery? I know the charge per second is 0.60 C.
The electric potential energy of this charge increase as it moves through the battery is 6.84 J.
What is electric potential energy?The power required to move a charge in opposition to an electric field is known as electric potential energy. A charge must be moved through a stronger electric field with more energy, but it also must be moved through a weaker electric field with more energy. The energy gained when an object moves against an electric field is known as the electric potential energy. The electric potential is calculated for any charge by dividing the potential energy by the charge.
Emf of the battery = 11.4 V
Current used = 0.60 A
Current = Charge / Time
The charge per second is 0.60 C. Therefore, the electric potential energy will be:
U = qv
U = Current used × Emf
U = 0.60 × 11.4
U = 6.84 J
Therefore, the electric potential energy of this charge increase as it moves through the battery is 6.84 J.
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Part A: what is the capacitance?
Part B: what is the potential difference between the plates?
Part C: what is the magnitude of the electric field between the plates?
Part A: capacitance = 2.650 × [tex]10^{-12}[/tex] F
Part B: the potential difference between the plates = 2.5250 × 10² V
Part C: the magnitude of the electric field between the plates = 7.56 × [tex]10^{6}[/tex] V/m
What is capacitance?Capacitance is an electrical property of a capacitor. Farad (abbreviated to F), which bears the name of the British physicist Michael Faraday, is the unit of capacitance and measures a capacitor's capacity to store an electrical charge on its two plates. The area of a parallel plate capacitor, A, is measured in square meters. Its capacitance is inversely proportional to the spacing, d, or dielectric thickness, measured in meters, between the two conductive plates.The generalized formula for a parallel plate capacitor's capacitance is given as C= εo*A/d, where stands for the absolute permittivity of the material being utilized as the dielectric. The value of the dielectric constant commonly referred to as the "permittivity of open space," is 8.854 x 10-12 Farads per meter.Given:
distance between plates(d) = 3.34 × [tex]10^{-3}[/tex] m
Area of plates(A) = 10 × [tex]10^{-4}[/tex] m²
Charge(Q) = 6.70 × [tex]10^{-8}[/tex] C
electric constant(εo) = 8.8542× [tex]10^{-12}[/tex] F/m
The capacitance is given by:
C= εo*A/d
= (8.8542× [tex]10^{-12}[/tex] × 10 × [tex]10^{-4}[/tex] )/ 3.34 × [tex]10^{-3}[/tex]
= 2.650 × [tex]10^{-12}[/tex] F
To calculate the Magnitude of the electric field between the plates
⇒ E=σ/εo ,where σ = Q/A
σ = 6.70 × [tex]10^{-8}[/tex] / 10 × [tex]10^{-4}[/tex]
= 6.70 × [tex]10^{-5}[/tex] C[tex]m^{-2}[/tex]
Now, E = 6.70 × [tex]10^{-5}[/tex] / 8.8542× [tex]10^{-12}[/tex]
= 7.56 × [tex]10^{6}[/tex] V/m
To find the potential difference between the plates;
V=E×d
= 7.56 × [tex]10^{6}[/tex] × 3.34 × [tex]10^{-3}[/tex]
= 2.5250 × 10² V
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How many liters are in 10 U.S. gallons?
1 gallon
3.79 liters
OR
3.79 liters
1 gallon
Answer:
37.85 Liters in 10 US gallons
Explanation:
if asking for volume: volume = 3.785liters
A toy rocket is fired horizontally at 12.0 m/s from a 30.0 m tall building. The engine of the rocket provides an acceleration along the horizontal such that () = −(1.6 m/s3).. Find the time it takes for this toy rocket to land on the ground.
The time taken by the toy rocket that was fired horizontally to land on the ground is 2.47 seconds
s = ut + 1 / 2 at²
s = Distance
u = Initial velocity
t = Time
a = Acceleration
[tex]u_{x}[/tex] = 12 m / s
[tex]u_{oi}[/tex] = 0
[tex]s_{y}[/tex] = 30 m
[tex]a_{x}[/tex] = - 1.6 m / s²
[tex]a_{y}[/tex] = g = 9.8 m / s²
[tex]s_{y}[/tex] = [tex]u_{oi}[/tex] t + 1 / 2 gt²
30 = 0 + ( 0.5 * 9.8 * t² )
t = √ ( 30 / 4.9 )
t = 2.47 s
The initial velocity of a horizontal projectile motion is in x-direction is constant throughout the motion whereas in y-direction the initial velocity is zero and the final velocity varies.
Therefore, the time taken by the toy rocket that was fired horizontally to land on the ground is 2.47 seconds
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an extension cord 20m long uses no. 12 gauge copper wire (cross section area 0.033 cm ^2 resistivity 1.7×10^-8 ohms - m
If an extension cord 20 m long uses no. 12 gauge copper wire cross-section of area 0.033 cm² resistivity 1.7×10⁻⁸ ohms - m, the resistance of the extension chord would be 0.1030 Ohm.
What is resistance?Resistance is the obstruction of electrons in an electrically conducting material.
The mathematical relation for variation in resistance with length is given by
R = ρ*L/A
As given in the problem an extension cord 20 m long uses no. 12 gauge copper wire cross-section of area 0.033 cm² resistivity 1.7×10⁻⁸ ohms - m, then we have to find the resistance of the wire,
Resistance of the wire = 1.7×10⁻⁸ ×20/0.033 ×10⁻⁴
=0.1030 Ohm
Thus, the resistance of the extension chord would be 0.1030 Ohm.
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The question is incomplete the complete question is,
An extension cord 20 m long uses no. 12 gauge copper wire cross-section of area 0.033 cm² resistivity 1.7×10⁻⁸ ohms - m, then find the resistance of the wire?
slope of distance time graph will always be ?
Answer:
equal to the speed of the object.
please give the answer of mass of electron in physics
Answer:
electron, lightest stable subatomic particle known. It carries a negative charge of 1.602176634 × 10−19 coulomb, which is considered the basic unit of electric charge. The rest mass of the electron is 9.1093837015 × 10−31 kg, which is only 1/1,836the mass of a proton.
Explanation:
I hope this will be helpful for you.
The intake to a hydraulic turbine (not drawn to scale) installed in a dam is located at an elevation of 10 meters above the turbine exit. Water enters at
20℃ with negligible velocity and exits from the turbine at 10m/s. The water passes through the turbine with no significant changes in temperature or pressure between the inlet and exit, and heat transfer is negligible. The acceleration of gravity is constant at g = 9.81 m/s2. If the power output at a steady state is 500 kW, what is the mass flow rate of water in kg/s?
The mass flow rate of water is 5.146×10³ kg/s
The enthalpy change that occurs during a reaction is the heat that enters or exits the system. A critical factor that determines whether a reaction may occur is whether the enthalpy of the system increases (i.e., because energy is added) or lowers (i.e., because energy is given off).
Elevational difference (Z1-Z2) =15m
V1 = the inlet velocity, V2 = the outlet velocity
Using the equation for steady-state energy Q+m(h1+V2/12+g/z1) =W+m(h2+V22/2+gz2),
m(h1+V21/2+g/z1) m(h2+V22/2+g/z2) =WQ, and m(h1h2+V2/12V22/2+g/z1g/z2) =WQ.
The change in enthalpy and the rate of heat transfer are both zero because the pressure and temperature have barely changed.
m (0−0+0/22−10/22+9.81× (15))
=500×1000m\s
=5.146×10³ kg/s
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need answer and showed work to question number 1
Answer:
can u show question 1?
Explanation:
The students in Mrs. Mangione's class attempt to guess the number of marbles in a jar to earn 2 extra credit points on their next exam. Suppose there are 1206 marbles in a jar and a student makes a guess of m marbles. Which expression represents the difference between the student's guess and the actual number of marbles.
The formula m-1206 represents the discrepancy between the student's estimation and the actual number of marbles.
The student guesses that there are m marbles given that there are 1206 marbles in the jar.
The term that best captures the discrepancy between the student's guess and the actual number of marbles must be found.
Expressions are made up of a combination of numerical values, symbols, fractions, coefficients, and other elements that lack the equals sign.
There are 1206 marbles in total.
Guessed number of marbles by the student-m
The phrase that illustrates the distinction between a student's educated guess and
The expression that shows the difference between the student's guess and the actual number of marbles is m-1206.
Hence the expression which reflects the difference between the student's guess and the actual number of marbles is m-1206.
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I walk 800 meters East, and then turn and walk 1200 meters North. What was my total distance?
Answer:
2,000
Explanation:
Answer: 2000 meters would be the distance you walked, but if you need it in feet, it is 6,561.67979.
Explanation: 1 meter = 3.28 feet.
A 5kg block is resting on the table. Find the normal force acting on the block.
49 N, up
49 N
5 kg, up
49 N, down
The normal force acting on the block is 49 N in upward direction
It is given that
mass of block is 5kg
And we have to find the Normal force on block
The force surfaces apply to stop solid objects from passing through one another is known as the normal force.
A contact force is a normal force. A normal force cannot be applied between two surfaces that are not in contact.
Since, block is at rest and no other force is acting on it so only force acting on it is by the table and it is in upward direction
Force = mg = 5 x 9.8 = 49 N in upward direction
Hence, normal force acting on block is 49 N in upward direction
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explain newtons law of motion applied in this game
Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Newton’s second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
Newton’s third law states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction. This law is important in analyzing problems of static equilibrium, where all forces are balanced, but it also applies to bodies in uniform or accelerated motion.
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The first law represented in the game would be the candy. If you blow it, it would move but then stop due to friction.
The second law would be represented by blowing the candy. Since the candy was light, it would be easier to blow but if it was heavier, it would be a lot harder.
The final law represented in the game would be if you decided to blow the candy with a ballon instead, the candy would move the opposite direction the ballon is moving.
(a) What must the charge (sign and magnitude) of a 1.45-g particle be for it to
remain stationary when placed in a downward-directed electric field of magnitude 650
N/C?
(b) What is the magnitude of an electric field in which the electric force on a proton is
equal in magnitude to its weight?
The charge is obtained as 2.19 * 10^-5 C the electric field is obtained as 1 * 10^-7 N/C.
What is the charge?We know that the electric field is the created as a result of the presence of one charge close to another. The magnitude of the electric charge that would make the particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 650 N/C is required here.
a) Recall that the eight is also a force and counterbalanced the electric force hence;
W = mg = Eq
mg = Eq
g = 9.8 m/s^2
1.45 * 10^-3 Kg * 9.8 m/s^2 = 650 N/C * q
q = 1.45 * 10^-3 Kg * 9.8 m/s^2/650 N/C
q = 2.19 * 10^-5 C
b) The charge on the proton is 1.6 * 10^-19 while the mass of the proton is 1.67 * 10^-27 Kg
F= 1.67 * 10^-27 Kg * 9.8 m/s^2 = 1.6 * 10^-26 N
The electric field is obtained from; 1.6 * 10^-26 N/1.6 * 10^-19
= 1 * 10^-7 N/C
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A ball rolls off a table with a horizontal velocity of 4 m/s. If it takes 0.5 seconds for the ball to reach the floor, how high above the floor kd tje tabletop? (Use g = 10 m/s^2)
Show work please :)
Answer:
1.25 m
Explanation:
Constant Acceleration Equations (SUVAT)
[tex]\boxed{\begin{array}{c}\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}} \quad \boxed{\begin{minipage}{4.6 cm}$s$ = displacement in m\\\\$u$ = initial velocity in ms$^{-1}$\\\\$v$ = final velocity in ms$^{-1}$\\\\$a$ = acceleration in ms$^{-2}$\\\\$t$ = time in s (seconds)\end{minipage}}[/tex]
When using SUVAT, assume the object is modeled as a particle and that acceleration is constant.
Consider the horizontal and vertical motion of the ball separately.
As the ball rolls off the table with a horizontal velocity only, the vertical component of its initial velocity is zero.
Acceleration due to gravity = 10 ms⁻²
As we need to find the vertical displacement of the ball, resolve vertically, taking ↓ as positive:
[tex]u=0 \quad a=10 \quad t=0.5[/tex]
[tex]\begin{aligned}\textsf{Using} \quad s&=ut+\dfrac{1}{2}at^2\\\\s&=(0)(0.5)+\dfrac{1}{2}(10)(0.5)^2\\s&=0+\dfrac{1}{2}(10)(0.25)\\s&=(5)(0.25)\\ \implies s&=1.25 \; \sf m\end{aligned}[/tex]
Therefore, the vertical displacement of the ball is 1.25 m, and so the table is 1.25 m above the floor.
please help me solve this worksheet its graded
The unit conversion of 1.5 x 10⁸ Gm to m = 1.5 x 10¹⁷ m.
The unit conversion of 2.6 x 10⁻⁵ nm = 2.6 x 10⁻²⁰ Mm.
The unit conversion of 2.72 x 10⁻⁵ μm = 2.72 x 10⁻¹¹ m.
The unit conversion of 2.56 x 10⁻³ cm = 2.56 x 10⁻⁸ km.
The unit conversion of 2 hr = 7,200 seconds.
The unit conversion of 2 h 30 min = 9,000 seconds.
What is unit conversion?Unit conversion involves the change of unit of a substance from one base to another.
Converting 1.5 x 10⁸ Gm to m1.5 x 10⁸ Gm = 1.5 x 10⁸ x 10⁹ m = 1.5 x 10¹⁷ m
Converting 2.6 x 10⁻⁵ nm to Mm2.6 x 10⁻⁵ nm = 2.6 x 10⁻⁵ x 10⁻⁹ x 10⁻⁶ m = 2.6 x 10⁻²⁰ Mm
Converting 2.72 x 10⁻⁵ μm to m2.72 x 10⁻⁵ μm = 2.72 x 10⁻⁵ x 10⁻⁶ m = 2.72 x 10⁻¹¹ m
Converting 2.56 x 10⁻³ cm to km2.56 x 10⁻³ cm = 2.56 x 10⁻³ x 10⁻² m x 10⁻³ km/m = 2.56 x 10⁻⁸ km
Converting 2 hours to seconds2 hr = 2 x 3600 s = 7,200 seconds
Converting 2 h 30min to seconds2 h 30 min = 7,200 seconds + 1800 s = 9,000 seconds
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If you are given values for Δx, v, and Δt, which kinematic equation could be used to find v0?
V = v0 + aΔt
Δx= (v + v0/ 2) Δt
v^2 = v0^2 2aΔx
Δx = v0Δt + 1/2 a (Δt)^2
The kinematics equation to determine v₀ is Δx = (v + v₀/2) Δt; option B
What are kinematic equations?Kinematic equations are equations which describe the motion of moving bodies.
Kinematic equations are also known as equations of motion.
The equations of motion are given below:
v = u + ats = (v + u/2) * tv² = u² + 2ass = ut + ¹/₂at²where;
v is final velocity = vu is initial velocity = v₀s is distance = Δxa is accelerationt is time = ΔtGiven that the values for the following are given; Δx, v, and Δt, the equation to determine v₀ will be Δx = (v + v₀/2) Δt
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