The magnitude of the acceleration that the engine must produce is 0.065 m/s².
What is acceleration?Acceleration is given by the ratio of Resultant or total force acting on any object and the its mass.
It can also be defined as the rate change of velocity with time.
acceleration a = (Δv) / (Δt)
Given is a lunar probe is moving 1670 m/s at a 73° angle. it needs to land on the moon 3.71 x 10⁸ m away in a 46° direction in 8.64 x 10⁴ s.
The initial velocity will be
1670 x cos (73°-46°) = 1487.981 m/s
Using the second equation of motion, we have
s = ut + 1/2 at²
The final velocity will be zero after landing on Moon.
Substituting the values, we have
3.71 x 10⁸= 1487.981 x 8.64 x 10⁴ + 1/2 a ( 8.64 x 10⁴)²
Solving the equation, we get
acceleration, a = 0.065 m/s²
Thus, the magnitude of the acceleration that the engine must produce is 0.065 m/s²
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Answer:
The direction is 30.6
Explanation:
7. Many medicines started out as natural products.Penicillin was originally made from _______________
A. Poppies
B. Bark of the willow tree
C. The flower foxglove.
D. Mold
Answer:
D
Explanation:
PCN was discovered in mold
If m = 2,000, p = 2. 25, and y= 6,000, what is velocity?
The velocity is 6.75
The velocity in the equation stated above can be calculated as follows
m= 2,000
p= 2.25
y= 6000
velocity= 2.25 × 6000/ 2000
= 13500/2000
= 6.75
Hence the velocity is 6.75
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Deena made a chart to summarize features of a velocity vs. time graph for objects with constant acceleration and objects with constant velocity.
The statement which best describes Deena's error is: B. Include the area of the rectangle under the line to find displacement for constant acceleration.
What is a velocity vs. time graph?A velocity vs. time graph can be defined as a type of graph that is used to graphically represent the rate of change of velocity of an object with respect to time.
Based on the information provided in the table shown (see attachment), the statement which best describes Deena's error is her not including of the area of the rectangle under the line, so as to enable her find displacement for constant acceleration.
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Complete Question:
Deena made a chart to summarize features of a velocity vs. time graph for objects with constant acceleration and objects with constant velocity.
Which best describes Deena's error?
A. The line for constant velocity is not horizontal; it is diagonal and slopes downward.
B. Include the area of the rectangle under the line to find displacement for constant acceleration.
C. Find acceleration by finding the area of the rectangle above the line.
D. Find velocity by calculating the slope of the line.
If we assume a typical efficiency for the body, as quoted in the video, how much energy input would it take to climb a ladder, increasing your body’s potential energy by 5,000 j?.
The energy input would it take to climb a ladder will be 20000 J.
What is the mechanical advantage?Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtain the efficiency of the given mechanical machine.
Mechanical advantage is a measure of how much a machine multiplies the input force.
The complete question is;
"if we assume a typical efficiency of 25% for the human body how much energy input would it take to climb a ladder increasing body potential energy by 5000J"
The formula for the efficiency is;
[tex]\rm E = \frac{P}{\eta} \\\\ E = \frac{5000}{0.25} \\\\ E = 20000 \ J[/tex]
Hence, the energy input would it take to climb a ladder will be 20000 J.
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Differences between freezing point and melting point (Atleast 5 differences)
Answer:
What is freezing point?
A liquid's freezing point is determined at which it turns into a solid. Corresponding to the melting point, the freezing point often rises with increasing pressure. In the case of combinations and for some organic substances, such as lipids, the freezing point is lower than the melting point. The first solid which develops when a combination freezes often differs in composition from the liquid, and the development of the solid alters the composition of the remaining liquid, typically lowering the freezing point gradually. Utilizing successive melting and freezing to gradually separate the components, this approach is used to purify mixtures.
What is melting point?
The temperature at which a purified substance's solid and liquid phases may coexist in equilibrium is referred to as the melting point. A solid's temperature goes up when heat is added to it until the melting point is achieved. The solid will then turn into a liquid with further heating without changing temperature. Additional heat will raise the temperature of the liquid once all of the solid has melted. It is possible to recognize pure compounds and elements by their distinctive melting temperature, which is a characteristic number.
The difference between freezing point and melting point:
While a substance's melting point develops when it transforms from a solid to a liquid, a substance's freezing point happens when a liquid transforms into a solid when the heat from the substance is removed.When the temperature rises, the melting point can be seen, and when the temperature falls, the freezing point can be seen.When a solid reaches its melting point, its volume increases; meanwhile, when a liquid reaches its freezing point, its volume decreases.While a substance's freezing point is not thought of as a distinctive attribute, its melting point is.While external pressure is a significant component in freezing point, atmospheric pressure is a significant element in melting point.Heat must be supplied from an outside source in order to reach the melting point for such a state shift. When a material is at its freezing point, heat is needed to remove it from the substance in order to alter its condition.Reference: Berry, R. Stephen. "When the melting and freezing points are not the same." Scientific American 263.2 (1990): 68-75.
A spring with a force constant of 3x10^3 Nm-1 is used to measure the mass of an object. If the spring extends by 5cm when the object is hung from it, the mass of the object is
Answer:
15.29 kg
Explanation:
F = k * d 5cm = .05 m
= 3 x 10^3 n/m * .05 m = 150 N
= 150 kg -m / s^2
150 kg- m / s^2 / 9.81 m/s^2 =15.29kg
A book with a mass of 1.2 kg sits on a bookshelf. if it has a gravitational potential energy of 50 j, how high is the shelf? the acceleration of gravity is 9.8m/s^2
Answer:
h = 4.25 m
Explanation:
[tex]gravitational \space\ potential \space\ energy \space\ (gpe)= m g h\\[/tex] ,
where m is the mass, g is acceleration of gravity, and h is height of object.
In our case, m = 1.2 kg, g = 9.8m/s², and gpe = 50 J.
50 = 1.2 x 9.8 x h
h = 50 / (1.2 x 9.8)
h = 4.25 m
Answer:
4.25m
Explanation:
Joules is a "derived unit", meaning it is really composed of other units, and it is just abbreviated as a single letter.
[tex]1[J]=1 [\frac{kg \cdot m^2}{s^2}][/tex]
This comes from the formula for potential energy, often denoted "U"
[tex]U=mgh[/tex], where m is the mass of the object (measured in kilograms, [tex]kg[/tex]), g is the acceleration due to gravity at that spot (measured in meters per second squared, [tex]\frac {m}{s^2}[/tex]), and h is the height of the object (measured in meters, [tex]m[/tex]).
Note: The object itself may or may not have an acceleration of "g" at the given point because it may be supported (like on a bookshelf). However, the "g" is representative of its gravitational acceleration at that point if gravity could accelerate it unimpeded.
Rearranging the potential energy equation to isolate the unknown "h", dividing both sides by "m" and "g", we get the following:
[tex]\dfrac{U}{mg}=h[/tex]
Substituting known values (and rewriting Joules as its SI units so we can ensure units cancel the way we need them to):
[tex]\dfrac{\left (50 [\frac{kg \cdot m^2}{s^2}] \right)}{(1.2 [kg])(9.8 [\frac{m}{s^2}])}=h\\\dfrac{\left (50 [\frac{kg \!\!\!\!\!\!\!{--} \cdot m^{2 \!\!\!{-}}}{s^2\!\!\!\!\!\!\!{--} }] \right)}{(1.2 [kg \!\!\!\!\!\!\!{--} ])(9.8 [\frac{m\!\!\!\!\!\!\!{--} }{s^2\!\!\!\!\!\!\!{--} }])}=h\\\dfrac{(50)}{(1.2)(9.8)}[m]=h\\\\4.2517[m] \approx h[/tex]
Thus, the height of the book would be approximately 4.25meters high.
matter falling into a black hole arranges itself in the shape of a ____.
Matter falling into a black hole arranges itself in the shape of a disk that is thick at the outer edge, thin along the inner ring.
What is black hole?A black hole is a region of space time where gravity is so strong that nothing or no particles or even electromagnetic radiation such as light can escape from it.
Thus, matter falling into a black hole arranges itself in the shape of a disk that is thick at the outer edge, thin along the inner ring.
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A practical machine cannot be 100% efficient?
please give me the answer.
[tex]\huge\color{Basic}{\boxed{\tt{answer}}}[/tex]
A practical machine cannot be 100% efficient? IF THE CHOICES ARE TRUE OR FALSE THEN U GOThe answer is false a machine cannot be 100 percent efficient because the output of a machine is always less than input. (correct me if I’m wrong)Have a great day<3Answer: yes it cannot be 100% efficient
Explanation:
only an ideal machine with 0 friction can have 100 percent efficiency
and electric motor lifts an elevator a vertical distance of 18.0m in a time of 30.0s by exerting an upward force of 6.0x10^3 N . what power does the electric motor produce?
Answer:
[tex]\fbox {3.6kW}[/tex]
Explanation:
Formula used :
[tex]\boxed {P = F \times v} \leftarrow \rightarrow \boxed {P = \frac{F \times S}{t}}[/tex]
Given :
⇒ F = 6 × 10³ N
⇒ S = 18 m
⇒ t = 30 s
Solving :
⇒ P = 6 × 10³ × 18 / 30
⇒ P = 2 × 100 × 18
⇒ P = 3600 W
⇒ P = 3.6kW
4. Calculate the acceleration of a body which starts from rest and travels 87.5 m in 5sec.
A charge of 5.67 x 10^-18 C is placed 3.5 x 10^-6 m away from another charge of -
3.79 x 10^-19 C. What is the force of attraction between them?
A 9.0x10^-2kg ice cube at 0.0 degrees Celsius is dropped into a styrofoam cup holding 0.35 kg of water at 13 degrees Celsius.
A. Find the final temperature of the system. Assume the cup and the surroundings can be ignored.
B. Find the amount of ice (if any) remaining.
C. Find the initial temperature of the water that would be enough to just barely melt all of the ice.
A. The final temperature of the system is 0°C.
B. The amount of ice (if any) remaining is 0.0331 g
C. The initial temperature of the water that would be enough to just barely melt all of the ice is 20.57 °C.
What is specific heat?The specific heat is the amount of heat required to change the temperature by 1°C. It is denoted by C.
Heat lost or gained is represented as
Q = m C ΔT
Given, Mass of ice, mice = 9x10⁻² kg, Mass of water, mw =0.35 kg, T = 13 °C
A. If ice is in excess, final water temperature will be 0°C.
B. Specific heat of water Cp = 1000 cal/kg°C
Latent heat of ice L = 80 kcal/kg
In that case, heat lost by water =Heat gain by ice
Q = mCp x dT = mL
0.35 x 1000 x 13 = m x 80 x 1000
m = 0.0569 kg of ice.
The gram of ice remaining = 0.09 - 0.0569
= 0.0331 gram of ice.
Thus, the amount of ice remaining is 0.0331 g
C. Heat required to melt 90 gram of ice, Q mL
Q = 90 x 80 = 7200 cal.
If the initial temperature of water needed = T,
mCp x dT = mL
350 x T = 7200
T = 20.57 °C
Thus, the initial temperature of the water that would be enough to just barely melt all of the ice is 20.57 °C.
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Every magnet must have what at its ends?
O A. A north pole and a south pole
OB. A positive charge and a negative charge
C. A positive charge and a north pole
OD. A south pole and another south pole
SUBE
Explanation:
The correct is A.
every magnet have two pole
What is the concentration of H+ ions at a pH = 8?
mol/L
What is the concentration of OH– ions at a pH = 8?
mol/L
Taking into account the definition of pH and pOH, the concentration of H⁺ ions at pH=8 is 1×10⁻⁸ M and the concentration of OH⁻ ions at pH=8 is 1×10⁻⁶ M.
Definition of pHpH is a measure of acidity or alkalinity that indicates the amount of hydrogen ions present in a solution or substance.
The pH is defined as the negative base 10 logarithm of the activity of hydrogen ions, that is, the concentration of hydrogen ions or H₃O⁺:
pH= - log [H⁺]= - log [H₃O⁺]
Definition of pOHSimilarly, pOH is a measure of hydroxyl ions in a solution and is expressed as the logarithm of the concentration of OH⁻ ions, with the sign changed:
pOH= - log [OH⁻]
Relationship between pH and pOHThe following relationship can be established between pH and pOH:
pOH + pH= 14
Concentration of H⁺ ionsIn this case, pH=8. Replacing in the definition of pH:
8= - log [H⁺]
Solving:
[H⁺]= 10⁻⁸= 1×10⁻⁸ M
Finally, the concentration of H⁺ ions at pH=8 is 1×10⁻⁸ M.
Concentration of OH⁻ ionsBeing pH= 8, pOH is calculated as:
pOH + 8= 14
pOH= 14 - 8
pOH= 6
Replacing in the definition of pOH the concentration of OH⁻ ions is obtained:
- log [OH⁻]= 6
Solving
[OH⁻]= 10⁻⁶= 1×10⁻⁶ M
Finally, the concentration of OH⁻ ions at pH=8 is 1×10⁻⁶ M.
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Which Items are Matter? (Multiple Choice Question)
-Battery
-Electricity
-Mobile Phone
-Sound
-Light
-Heat
a standby generator is connected to 1540 w lamps and a musicians 600w amplifying system how much energy is used if the generator is used for 6 hours
Answer:2140 watts x 6 hours =12.84 kWh. Are you looking for specific type units such as Jules?
A solenoid is configured to produce a magnetic field of 0.027T at its center. it has radius 1.4 cm and length 40cm and the wire can carry a maximum length of 12.0A. What is the total length required
The total length of the wire required is 63 m.
What is current?The current is the stream of charges which flow inside the conductors when connected across the end of voltage.
Given is a solenoid is configured to produce a magnetic field of 0.027T at its center. it has radius 1.4 cm and length 40cm and the wire can carry a maximum current of 12.0 A.
Radius, r = 1.4cm = 0.014 m
Length l = 40 cm = 0.4 m
If the current is I, then the magnetic field in solenoid is given by
B = μ₀ n I
By substituting the values, we get
0.027 = 4π x 10⁻⁷ x n x 0.4
n = 1792 turns/unit length
Total length of wire = circumference x Turns
L = 2πr x N
where N = nl
Plug the values, we get
L = 2π x 0.014 x1792 x 0.4
L = 63 m
Thus, the total length of the wire is 63 m.
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John walked from his home to work, it took him 12 min and the distance covered was 3 km. calculate the average speed in m/s
Answer:
4.167
Explanation:
ittravels 4.167metres per second
What do velocity, acceleration, force, and displacement, have in common?
Velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common
What is a vector quantity?This is a which have both magnitude and direction. Example include:
VelocityDisplacement ForceAccelerationMomentWeightWhat is a scalar quantity?This is a quantity which has magnitude but no direction. Example include:
WorkEnergySpeedMassTimeDistanceFrom the above, we can see that velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common
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which lens is used to treat hypermetropia ?
Answer:
convex lense
Explanation:
people with hyperopia or hypermetropia are long sighted or farsighted, so what happens here is that light doesn't focus on the surface of the retina but behind it so the picture is moved forward by positioning a convex lense in front of a hypermetropic eye and is correctly centered in the retina.
The main source of information used by astronomers to learn about objects in space is.
When water vapor (a gas) starts to cool, it can
become a liquid. What causes this change in the
state of matter in water?
Answer:
This process is CONDENSATION
Explanation:
Condensation occurs when water vapour loses some of its kinetic energy to a colder body and changes into liquid state.
3.Shanai drove 40 miles to the west, then turned around and drove 70 miles to the east.
Draw vectors that show each segment of her trip and the resultant displacement vector. Find
her resultant displacement.
Answer:
Explanation:
Comment
The main points are that
The arrowheads go in opposite directionsDisplacement is measured from the origin to the arrowhead of the last vector correctly drawn.the tail of the second vector starts where the arrowhead of the first vector is.Solution
40 miles west
<========================== 0
=====================================================>
Displacement (30 km east)
Answer
30 km east
Explain an example of an object moving in projectile motion.
An example of an object moving in projectile motion is; A basketball being thrown into a net.
What is an example of a Projectile Motion?Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity.
Now, an example of an object moving in a projectile motion is throwing a basketball into a basketball net in a game. This is because the ball is thrown into the air at an angle towards the net and as such is subject to only acceleration of gravity.
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how to find the sum of a convergent series
The formula that can be used to obtain a convergent series is given by;
a/1 – r.
What is a series?In mathematics, we define a series as sum of numbers which could be convergent or divergent. In a convergent series, the summation of the numbers approaches a given value.
The formula that can be used to obtain a convergent series is given by;
a/1 – r.
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If a hyperpolarizing graded potential and a depolarizing graded potential of similar magnitudes arrive at the trigger zone at the same time, what is most likely to occur
The likely outcome when a hyperpolarizing and a depolarizing potential of similar magnitudes arrive simultaneously at the trigger zone is the cancellation of charges.
What is membrane action potential?Membrane action potential refers to differential electric charges within and outside of a given cell.
Hyperpolarization refers to a differential membrane potential of a cell associated with a negative charge, whereas depolarization is associated with a positive charge.
In conclusion, the likely outcome when a hyperpolarizing and a depolarizing potential of similar magnitudes arrive simultaneously at the trigger zone is the cancellation of charges.
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If a ball is thrown into the air with a velocity of 45 ft/s, its height in feet after t seconds is given by y=45t-15t2. Find the instantaneous velocity when t=4
Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t², the instantaneous velocity when t=4 is -75ft/s.
What is the instantaneous velocity when t=4?Given that;
Initial velocity = 45ft/sHeight in feet after t seconds is given by y = 45t - 15t² Instantaneous velocity = ?First, we determine the derivative of y = 45t - 15t²
y' = (1)45 - (2)15t
y' = 45 - 30t
We substitute in t = 4
y' = 45 - 30t
y' = 45 - 30(4)
y' = 45 - 120
y' = -75ft/s
Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t², the instantaneous velocity when t=4 is -75ft/s.
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which best describes series
Answer:
a single closed path of electrical components including a voltage source
which statement is a scientific theory
A.most cells are so small that they can be observed only through a microscope
B.the interactions between cells can be predicted with mathematical equations
C.The various functions of different types of cells can be determined by experiments
D.cells are fundamental units of all living organisms
Most cells are so small that they can be observed only through a microscope is a scientific theory. Option A is correct.
What is a scientific theory?A well-considered explanation for observations of the natural world that has been developed through the scientific method and that combines numerous facts and hypotheses is known as a theory.
A scientific hypothesis states that most cells are so tiny that a microscope is the only way to see them.
Hence option A is correct.
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