A 200-N solid sphere 0. 20 m in radius rolls without slipping 6. 0 m down a ramp that is inclined at 34° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest?
Answers
The angular speed of the sphere at the bottom of the ramp is approximately 7.64 rad/s.
We can use the conservation of energy principle. The total mechanical energy of the system (kinetic energy + potential energy) will be conserved, assuming there is no friction.
1. Find the potential energy of the sphere at the top of the ramp:
U = mgh
where m = 200 N, g = \(9.8 m/s^2\), and h = d*sin(θ)
h = 6.0 m * sin(34°) = 3.40 m
U = (200 N)*(\(9.8 m/s^2\))*(3.40 m) = 6616 J
2. Find the kinetic energy of the sphere at the bottom of the ramp:
\(K = (1/2)*I*w^2 + (1/2)*mv^2\)
where I is the moment of inertia of the sphere, w is the angular speed, and v is the linear speed of the sphere.
Since the sphere is rolling without slipping, we can use the relationship between linear and angular speed:
v = r*w
Also, for a solid sphere, the moment of inertia is I = (2/5)*m*r^2.
Substituting these values, we get:
\(K = (1/2)*(2/5)*m*r^2*w^2 + (1/2)*mv^2\)
\(K = (1/5)*m*r^2*w^2 + (1/2)*mv^2\)
At the bottom of the ramp, the sphere has no initial linear or angular speed, so v = 0.
3. Equate the initial and final energies to find the final angular speed:
K + U = U_f
where U_f = 0 (since the sphere has reached the bottom of the ramp and has no potential energy).
Substituting the values of K and U, we get:
\((1/5)*m*r^2*w^2 = -U\)
\((1/5)*200 N*(0.20 m)^2*w^2 = -6616 J\)
Solving for w, we get:
\(w = \sqrt{(-5*6616 J / (2*200 N*(0.20 m)^2))}\)
w ≈ 7.64 rad/s
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Related Questions
An object of mass 178 kg moves in a smooth
straight tunnel of length 2640 km dug through
a chord of a planet of mass 4.48 x 1024 kg and
radius 8.26 x 106 m.
y
F/m
Find the effective force constant of the har-
monic motion.
The value of gravitational
constant is 6.67259 x 10-¹1 Nm²/kg².
Answer in units of N/m.
Answers
Answer: If the mass of the object is 178 kg: k = 9.44*10^-5 N/m
Answer for the mass being 82 kg is not complete, because G was not given.
Explanation:
If the mass of the object is 178 kg:
The mass of object (m) = 178 kg
Length of tunnel (l) = 2640 km
***The minimum displacement (its amplitude) of object from its mean position,
A = 2640/2 = 1320 km = 1.320 * 10^6 m
Mass of planet (M) = 4.48 * 10^24 kg
Its Radius (R) = 8.26 * 10^6 m
Gravitational constant (G) = 6.67259 * 10^-11 Nm^2/kg^2
Now, restoring force for given hormonic motion will be
Vector of F = -((GMm)/R^3) * x
Comparing with, vector of F = -k*x, we get
k = (GMm)/R^3
k = (((6.67259*10^-11)*(4.48*10^24)*178)/(8.26*10^6)^3)
k = ((5320.99017*10^(-11+24))/(563.559976*10^18))
k = 9.44*10^(13-18)
k = 9.44*10^-5 N/m
If the mass of the object is 82 kg:
The mass of object (m) = 82 kg
Length of tunnel (l) = 2430 km
***The minimum displacement (its amplitude) of object from its mean position,
A = 2430/2 = 1215 km = 1.215*10^6 m
Mass of planet (M) = 4.16 * 10^24 kg
Its Radius (R) = 7 * 10^6 m
Gravitational constant (G) not given in the photo
Now, restoring force for given hormonic motion will be
Vector of F = -((GMm)/R^3) * x
Comparing with, vector of F = -k*x, we get
k = (GMm)/R^3
k = ((G*(4.16*10^24)*82)/(7*10^6)^3)
Remember that when multiplying two values with exponents, you add the exponents together!
k = ((3.4112*10^26 * G)/(3.43*10^20))
Insert G to solve!
A marble is travelling at 2.0 m/s along a table top. The top of the table is 1.5 m above the floor.
Find:
a. the time the marble will take to reach the floor.
b. the distance of the table that the marble will land.
c. the velocity of the marble just before it reaches the floor.
Answers
Answer
time of flight = 0.5533 seconds
horizontal range = 1.107 metres
final velocity is 5.779 m/s at 70° downwards
Step-by-Step Solution
initial horizontal velocity (ux) = 2.0 m/s
initial vertical velocity (uy) = 0
vertical displacement (sy) = -1.5 m
neglecting air friction (drag), acceleration due to gravity (g) in the vertical component, is constant (9.8 m/s²), and horizontal velocity is ALWAYS constant. i.e, acceleration=0. Now using the equations of motion for the x-component:
\(s=ut\\v^2=u^2\\v=u\)
for the y-component:
\(v=u-gt\\v^2=u^2-2gs\\s=ut-\frac{1}{2}gt^2\\\)
(a) the time the marble will take to reach the floor.
using an equation that we have all the data for,
\(s=ut-\frac{1}{2}gt^2\)
-1.5 = 0 - 1/2(9.8)×t². Solving this to get t,
∴ time of flight = 0.5533 seconds
(b) the distance of the table that the marble will land.
similar to the previous question, we can use one of the equations of motion again, but this time, there's only one equation we can use:
\(s=ut\)
s = 2×0.5533
∴ horizontal range = 1.107 metres
c. the velocity of the marble just before it reaches the floor.
For this, we require both the x and y components of final velocity, and then we can calculate the resultant vector of the two velocities, as well as the direction/angle. Since u=v in x-component, we already have Vx. To find Vy, we can use:
\(v=u-gt\)
v = 0 - 9.8×0.5533
∴ final vertical velocity = -5.4223 m/s
Therefore, final velocity = \(\sqrt{Vx^2+Vy^2}\)
v = √(2.0² + (-5.4223)²) = 5.779 m/s
To find direction of velocity, tan∅ = Vy/Vx
∅ = tan⁻¹(5.4223/2.0) = 70°
Therefore, final velocity is 5.779 m/s at 70° downwards
Chemical reactions occur due to sharing or transferring of blank. Please help ASAP!!!!
Answers
Answer: valence electrons?
Explanation:
On a sky coaster (human pendulum) that reaches 20 meters from it's equilibrium position, a man of 70 kg is able to reach a maximum speed of
Answers
Answer:
Explanation:
Using the principle of conservation of energy, the potential energy is converted to kinetic energy, assuming any losses.
Kinetic energy is given by ½mv²
Potential energy is given by mgh
Where m is the mass, v is the velocity, g is acceleration due to gravity and h is the height.
Equating kinetic energy to be equal to potential energy then
½mv²=mgh
V
Making v the subject of the formula
v=√(2gh)
Substituting 9.81 m/s² for g and 20 m for h then
v=√(2*9.81*20)=19.799 m/s
Rounding off, v is approximately 20 m/s
Answer:
19.8 m/s
Explanation:
During the motion of a pemdulum bob, it casually converts kinetic energy to potential energy and vice versa.
A pendulum bob reaches its maximum speed at a position closest to its equilibrium position and has its lowest when it is farthest from the equilibrium position.
The maximum speed of a pendulum bob based on the mass involved and the maximum displacement from the equilibrium position is obtained from
Maximum kinetic energy = Maximum potential energy
Maximum potential energy occurs at the farthest point from equilibrium, that is,
P.E(max) = mgh
Maximum kinetic energy = ½mv²
½mv² = mgh
v = √2gh
g = acceleration due to gravity = 9.8 m/s²
h = farthest height from equilibrium position = 20 m
v = √(2×9.8×20) = 19.8 m/s
Hope this Helps!!!
is a solar energy technology that uses unique properties of semiconductors to turn light into electricity
Answers
Solar energy technology utilizes the unique properties of semiconductors to convert sunlight into electricity. This process is called photovoltaic (PV) effect, where semiconductors, such as silicon, absorb photons from sunlight and release electrons.
These electrons are captured by an electric field, creating a flow of electricity. PV cells are grouped together to form solar panels, which can be installed on rooftops or large solar farms.
Solar energy is a clean, renewable, and sustainable source of power, reducing greenhouse gas emissions and reliance on fossil fuels.
Moreover, advancements in semiconductor materials and manufacturing techniques have improved the efficiency and affordability of solar technology, making it more accessible for a wide range of applications.
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If the angle of a light ray in air is 25∘ and it enters a substance with a refracted angle of 13∘, what is the index of refraction of the substance?
A). 0.65
B). 0.53
C). 1.92
D). 1.88
Answers
Answer:
Explanation:
The formula for this is
\(n_1sin\theta_1=n_2sin\theta_2\) where the index of refraction of air is 1.00. Filling in and solving for n2:
1.00sin(25) = n₂sin(13) and
1.00(.423) = n₂(.225) and
\(\frac{1.00(.423)}{.225}=n_2\) so
\(n_2=1.88\), choice D.
The type of asteroid that would appear darkest and reflect the least light is type:
A) A.
B) B.
C) C.
D) D.
E) S.
Answers
The type of asteroid that would appear darkest and reflect the least light is type option E) S.
Among the given options, type E) S asteroids would appear darkest and reflect the least amount of light. Asteroids are classified into different types based on their composition, and type S asteroids belong to the silicate group. They are made up of rocky materials, such as silicates and metals, and they tend to have a relatively low albedo.
Albedo refers to the amount of light an object reflects, and a low albedo means that the object absorbs more light than it reflects. As a result, type S asteroids appear darker because they absorb a significant portion of the incident light rather than reflecting it. Their dark appearance is due to their composition and surface properties.
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6th grade science pls help
Answers
Answer:
D
Explanation:
I hope you get a good grade!
Can you help me pls
What happens when a student replaces the switch in an electric circuit with an object. A light bulb in the circuit does not light up. What can the student conclude about the object
Answers
Answer:
The student can conclude that as the bulb is not lighting up so the object can be insulator
Explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Given a sphere with radius r.
(a) The volume of the sphere is V = (b) The surface area of the sphere is S =
Answers
The volume of a sphere with radius r is V = (4/3)πr³, and the surface area of the sphere is S = 4πr². T
Given a sphere with radius r, the answer is: The volume of the sphere is V = (4/3)πr³.
The surface area of the sphere is S = 4πr².
The volume of a sphere is the amount of space inside a sphere. To determine the volume of a sphere, we use the formula:V = (4/3)πr³Where "r" is the radius of the sphere.
So, the volume of the sphere is V = (4/3)πr³.
The surface area of a sphere is the sum of all of its surface areas. To determine the surface area of a sphere, we use the formula:S = 4πr²Where "r" is the radius of the sphere.
So, the surface area of the sphere is S = 4πr².\
In conclusion, the volume of a sphere with radius r is V = (4/3)πr³, and the surface area of the sphere is S = 4πr². The given sphere is a 3-dimensional object that has a circular boundary. To find the volume and surface area, we have used the above formulas, which involves only the radius "r" of the sphere.
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Which statement best explains why an object appears green in sunlight?
Answers
Answer:
This question is incomplete, the options are:
A) The object absorbs most white light and refracts most green light.
B) The object refracts most white light and absorbs most green light.
C) More green light is absorbed while more red and blue light is reflected.
D) More green light is reflected while more red and blue light is absorbed.
The answer is D.
Explanation:
Light is an electromagnetic wave that contains different colours at different wavelength. The colour of light that is seen depends on the wavelength of light that is REFLECTED, while other wavelengths of light are ABSORBED. This feature is dependent on the properties of each object that received the sunlight.
For example, an object will appear GREEN because it has properties that enables it to REFLECT most of the GREEN LIGHT but absorbs most of the RED AND BLUE LIGHT in the sunlight passing through the object.
Answer:
D
Explanation:
More green light is reflected while more red and blue light is absorbed.
an electromagnet is made using a battery circuit and a steel nail. how can its magnetic strength be increased? responses wrap more coils of wire around the nail wrap more coils of wire around the nail, replace the nail with a copper rod replace the nail with a copper rod, remove the plastic insulation from the wire coil remove the plastic insulation from the wire coil, use a longer nail
Answers
To increase the magnetic strength of an electromagnet made using a battery circuit and a steel nail, the following approaches can be taken:
1. Wrap more coils of wire around the nail: Increasing the number of wire coils will increase the magnetic field strength produced by the electromagnet.
2. Replace the nail with a copper rod: Copper is a better conductor of electricity than steel, which can enhance the flow of current and increase the magnetic strength.
3. Remove the plastic insulation from the wire coil: Removing the insulation from the wire coil improves the contact between the wire and the nail, allowing for better current flow and stronger magnetic field generation.
4. Use a longer nail: A longer nail provides more surface area for the wire coils to wrap around, increasing the overall magnetic strength of the electromagnet.
It's important to note that implementing multiple strategies together can have a cumulative effect on enhancing the magnetic strength of the electromagnet.
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Please help! I really need it.
Answers
I believe the answer is Justine, correct me if I’m wrong.
Thermogenesis has been studied the plants in the genus arum, including skunk cabbage and the corpse flower. In these plants, what hypotheses have been provided to explain the reason behind thermogenesis? select all that apply.
Answers
Thermogenesis has been studied the plants in the genus arum, including skunk cabbage and the corpse flower. In these plants, these hypotheses have been provided to explain the reason behind thermogenesis
protection from frost damageleaf production and photosynthesis.seed germination.What is Thermogenesis?Thermogenesis, which takes place in specialised tissues such brown adipose tissue and skeletal muscle, is described as the disposal of energy through the generation of heat.
All metabolic activities involved in keeping the organism in a live condition require mandatory thermogenesis, which takes place in all organs. It also includes the energy used when food is consumed, digested, and processed (thermic effect of food, or TEF).
Thus, the reason behind thermogenesis are:
protection from frost damageleaf production and photosynthesis.seed germination.To know more about thermogenesis refer to:
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What happens after condensation to cause precipitation?
A. The sun heats water on the Earth's surface.
B. Water is absorbed into the ground.
C. Clouds fill with moisture and get too heavy.
D. Excess water runs downhill.
Answers
\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)
What happens after condensation to cause precipitation
The sun heats water on the Earth's surface.a spring-mass system is driven from rest harmonically such that the displacement response exhibits a beat of period of 0.2 s. the period of oscillation is measured to be 0.02 s. calculate the natural frequency and the driving frequency of the system
Answers
The natural frequency of the system is 4.545 Hz and the driving frequency is 5 Hz.
The beat period is the difference between the period of the driving force and the period of the system's natural frequency. Thus, we have:
Beat period = 1/f_beat = 0.2 s
Period of the system = T = 0.02 s
Therefore, we can write:
1/f_driving - 1/f_natural = 1/f_beat
Solving for the natural frequency, we get:
f_natural = f_driving / (1 + f_driving * f_beat)
We know that the system is driven from rest, so the amplitude of the motion will be maximum at the driving frequency. Therefore, the driving frequency is given by:
f_driving = 1 / (2π√(m/k))
where m is the mass of the system and k is the spring constant.
Substituting the given values, we get:
f_driving = 5 Hz
Substituting this value into the equation for the natural frequency, we get:
f_natural = 4.545 Hz
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a substance that has high reactivity
Answers
Answer:
The most reactive element is fluorine, the first element in the halogen group. The most reactive metal is francium, the last alkali metal (and most expensive element)
Explanation:
Follow instagrm at --> mvnnyvibesRecently, I did an experiment on pressure and volume. When I decreased the volume, the pressure decreased, and when I increased the volume, the pressure decreased, like normal. However, when increasing the volume, the pressure recorded was slightly higher than when decreasing the volume. What is the reason for this (I'm sorry for being unable to attach a photo of the results)
Answers
However, it is important to note that the relationship between pressure and volume is not always perfect and there are many factors that can affect the measurements. For example, if the apparatus used to measure the pressure and volume is not calibrated properly, or if there is a leak in the system, this can lead to inaccurate results. Additionally, external factors such as temperature changes or the presence of impurities in the gas can also affect the measurements.
It is possible that the reason for your observation is an experimental error, or if not, it could be that you have discovered something new or an exception to the Boyle's Law. I recommend you to repeat the experiment and check your measurements and equipment, also double check your calculations and notes.
Can someone please give me the (Answers) to this? ... please ...
Answers
Answers:
1. Newton's second law states that the force on an object is equal to its mass times its acceleration. Equation: F = ma, or force is equal to mass times acceleration.
2.
a=F/ma= 120N/68kga=(120 kg x m/s^2)/ (68kg)a = 1.8 m/s^23. a = 0.25 m/s^2
4. a = 0.4 m/s^2
when two vectors are added together graphically, one can drag the vectors around (keeping the direction the same) so that the tail of one vector touches the tip of the other. show answer no attempt if the three vectors in the figure are added together (a b c), in approximately what direction will the resultant be?
Answers
When two vectors are added together graphically, one can drag the vectors around (keeping the direction the same) so that the tail of one vector touches the tip of the other. show answer no attempt if the three vectors in the figure are added together (a b c), in approximately what direction will the resultant be.
The answer is no length and no direction.
About vectorA vector is a type of quantity that has a value and a direction. Quantities that include vector quantities include displacement, force, velocity, acceleration and others. A vector is described as a directed line segment that has a point of origin (point of origin) as the starting place for the vector to work.
The length of the line indicates the value of the vector and the direction of the arrow indicates the direction in which the vector acts. The line through the vector is called the working line.
Write a symbol for a vector quantity using upright letters in bold, for example the vector AB is written AB.
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A projectile is launched with an initial velocity 60m/s at an angle 60° to the vertical. What the magnitude of it's displacement after 5s.
Answers
Answer:
the magnitude of the displacement after 5s is 137.31 m.
Explanation:
Given;
initial velocity of the projectile, u = 60 m/s
angle of projection, θ = 60°
time of motion, t = 5s
the vertical component of the velocity, \(u_y= u\ sin \theta = 60sin(60^0)\)
The magnitude of the displacement after 5s is calculated as;
\(h = u_yt -\frac{1}{2} gt^2\\\\h = 60sin (60^0)\times 5 - \frac{1}{2} (9.8)(5)^2\\\\h = 259.81-122.5\\\\h = 137.31 \ m\)
Therefore, the magnitude of the displacement after 5s is 137.31 m.
The magnetic field strength inside a current carrying coil will be greater if the coil encloses a(n): A. iron rod B. wooden rod C. glass rod. D. none of these E. vacuum.
Answers
The magnetic field strength inside a current-carrying coil is determined by the amount of current flowing through the coil and the number of turns in the coil, as well as the permeability of the material inside the coil.
In the given options, a vacuum has the highest permeability, so the magnetic field strength inside a current-carrying coil will be greater if the coil encloses a vacuum. Therefore, the correct answer is (E) vacuum.
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how to find work done by load
Answers
Example
work done = force × distance.
work done = 1,000 N × 5 m.
work done = 5,000 J (or 5 kJ)
a computer's power supply converts mains ac to low-voltage regulated dc power for the internal components of a computer. you are building a new computer. you are deciding which type of power supply to install. which of the following definitions best describes a valid type of power supply?
Answers
In order to prevent overloading of any circuit, dual rail electrical supply includes independent tracks and P C B traces that are used to offset voltage sags between various circuits.
Using conductive paths, tracks, or signal traces etched from copper sheets laminated onto a non-conductive substrate, a printed circuit board, or PCB, is used to mechanically support and electrically link electronic components.
Semiconductors are used by practically all inverters to generate a controlled power output. An input voltage is rectified if the source has an ac input.
It is, therefore, the proper response.
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Scientists use a substance called Iodine-131 to treat cancer. As Iodine-131 undergoes radioactive decay and emits beta particles, it kill cancer cells.
Which fundamental force is being used in this type of treatment?
strong
weak
gravitational
electromagnetic
Answers
Answer:
I think it's strong I'm not to sure I'm sorry if it's wrong
Answer:
hello there people of the internet it may be b cause u guys said it wrong for a
Explanation: AND The guy say it to so i made it easyer to see
What is 64 °F in °C?
Answers
64°F is equivalent to 17.78°C.
A temperature unit developed from the SI (International System of Units) is Celsius (symbol: °C).
Prior to the adoption of the metric system, Fahrenheit (symbol: °F) was a commonly used measurement of temperature.
To convert Fahrenheit (°F) to Celsius (°C) we have to first subtract 32 from Fahrenheit and then multiply it by .5556 or 5/9.
We have to convert 64 degrees Fahrenheit (°F) to Celsius (°C),
We can use the following formula:
°C = (°F - 32) x 5/9
As per the given information,
°F = 64
By placing the value 99.3 for °F, we get:
°C = (64 - 32) x 5/9
°C= 32 x 5/9
°C = 160/9
°C = 17.78 (rounded to two decimal places)
Therefore, 64°F is equivalent to 17.78°C.
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Question :- What is 64°F in °C?
Which table best describes the parts of the atom? A 3 column table with 3 rows. The first column is labeled particle with entries proton, electron, neutron. The second column is labeled charge with entries positive, 0, negative. The last column is labeled location with entries outside nucleus, outside nucleus, inside nucleus. A 3 column table with 3 rows. The first column is labeled particle with entries proton, electron, neutron. The second column is labeled charge with entries negative, 0, negative. The last column is labeled location with entries inside nucleus, outside nucleus, inside nucleus. A 3 column table with 3 rows. The first column is labeled particle with entries proton, electron, neutron. The second column is labeled charge with entries 0, negative, positive. The last column is labeled location with entries outside nucleus, inside nucleus, inside nucleus. A 3 column table with 3 rows. The first column is labeled particle with entries proton, electron, neutron. The second column is labeled charge with entries positive, negative, 0. The last column is labeled location with entries inside nucleus, outside nucleus, inside nucleus.
Answers
The table describes the basic components of atoms, which are protons, electrons, and neutrons.
The correct table is:
Particle Charge Location
Proton Positive Inside nucleus
Electron Negative Outside nucleus
Neutron 0 Inside nucleus
This table best describes the parts of the atom. The proton has a positive charge and is located inside the nucleus of the atom. The electron has a negative charge and is located outside the nucleus, in the electron cloud. The neutron has no charge, or a charge of 0, and is located inside the nucleus along with the protons. This table provides a clear and concise summary of the basic properties and locations of the three fundamental particles that make up an atom.
Protons are positively charged particles found inside the nucleus, while electrons are negatively charged particles found outside the nucleus. Neutrons have no charge and are also located inside the nucleus.
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A stone is thrown up from the surface of earth when it reaches a maximum height it's kinetic energy is equal to
Answers
Answer:
Kinetic energy at maximum height is zero.
Explanation:
At maximum height, the velocity is zero. Thus, the kinetic energy is also zero. This can further be seen as illustrated below:
Let the mass of the object be = m
Velocity (v) at maximum height = 0 m/s
Kinetic energy (KE) at maximum height =?
KE = ½mv²
KE = ½ × m × 0²
KE = ½ × m × 0
KE = 0
From the illustration above, we can see that the kinetic energy at maximum height is zero.
A gas mixture of ne and ar has a total pressure of 4. 00 atm and contains 16. 0 mol of gas. If the partial pressure of ne is 2. 75 atm, how many moles of ar are in the mixture?.
Answers
The number of moles of Argon (Ar) gas in the given mixture is equal to 5 mol.
What is Dalton's law?Dalton's law can be described as the total pressure of all gases exerted being equal to the summation of the partial pressures of all gases in the mixture of non-reacting gases.
Mathematically, the pressure of a mixture of non-reacting gases can be defined as :
\(P_{total} = p_1+p_2+p_3+....\)
Given, the total pressure of the gas = Ptotal = 4.00 atm
The pressure of the Ne gas = 2.75 atm
Total number of moles of gas in mixture = 16 mol
Total pressure of the gas = Partial Pressure of Ne + partial pressure of Ar
\(P_{total} = P_{Ne} +P_{Ar}\)
\(P_{Ar} = P_{total}-P_{Ne}\)
\(P_{Ar}\) = 4.00 - 2.75
\(P_{Ar} =\) 1.25 atm
Mole fraction of Ar gas = \(P_{Ar}/P_{total}\) = 1.25/4 = 0.3125
Mole fraction is equal to :\(x_{Ar} =\frac{n_{Ar}}{n_{Ar} +n_{Ne}}\)
\(0.3125 = \frac{n_{Ar}}{16}\)
The number of moles of Ar gas = 0.3125 ×16 = 5 mol
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let's suppose I have a glacier moving at a rate of 64m per day. What would be the steps to converting it to Kilometers per Hour? Also, expressing the km/h using two significant figures
Answers
Answer: \(2.7*10^{-2} km/h\)
Explanation:
First you need to know the units that your quantity has. Velocity is given in length divided by time. So to transform from m/day to km/h we need to convert separately length from m to km and time from day to h. For length we have:
1km -------- 1000m
x ------------ 64m
x = 64/1000 = 64*\(10^{-3}\) km
Next we convert the time:
1 day = 24h
And now we just make the proper substitution:
\(64\frac{m}{day} = \frac{64m}{1 day} = \frac{64*10^{-3} km}{24 h} = \frac{64*10^{-3}}{24} \frac{km}{h} = 2.7*10^{-2} km/h\)
Note that our result has two significant figures (2.7) since 10 to -2 does not count as significant figures.