The impulse delivered to the froghopper is 7.92 x 10^-5 Ns. Impulse is defined as the change in momentum of an object.
Impulse can be calculated by multiplying the force applied to an object by the time during which it is applied.
Impulse is denoted by the symbol J and is measured in units of Newton-seconds (Ns).
The formula for impulse is given as: J = FΔt Where J is the impulse, F is the force applied, and Δt is the time during which the force is applied.
We know the mass of the froghopper, its acceleration, and the distance it jumps.
We can use these values to calculate the force applied on the froghopper during the jump.
The mass of the froghopper is 0.0198 g or 0.0000198 kg. Its acceleration is 4000 m/s2.
The distance it jumps is 2.0 mm or 0.002 m. Force = mass x acceleration = 0.0000198 x 4000 = 0.0792 N.
Time = distance/velocity = 0.002/4000 = 5 x 10^-7 s. Impulse = force x time = 0.0792 x 5 x 10^-7 = 7.92 x 10^-5 Ns.
An impulse is defined as the change in momentum of an object. When an object is subjected to a force, its momentum changes.
The change in momentum of the object is called impulse.
Impulse is equal to the force applied to the object multiplied by the time during which the force is applied.
The formula for impulse is given as J = FΔt, where J is the impulse, F is the force applied,
and Δt is the time during which the force is applied.In this problem, we are given the mass of the froghopper, its acceleration, and the distance it jumps.
We can use these values to calculate the force applied on the froghopper during the jump.
The mass of the froghopper is 0.0198 g or 0.0000198 kg. Its acceleration is 4000 m/s2.
The distance it jumps is 2.0 mm or 0.002 m.
Using the formula force = mass x acceleration, we can find the force applied on the froghopper during the jump. Force = 0.0000198 x 4000 = 0.0792 N.
Using the formula time = distance/velocity, we can find the time during which the force is applied. Time = 0.002/4000 = 5 x 10^-7 s.
Now, we can use the formula J = FΔt to find the impulse delivered to the froghopper during the jump. Impulse = 0.0792 x 5 x 10^-7 = 7.92 x 10^-5 Ns.
The impulse delivered to the froghopper during the jump is 7.92 x 10^-5 Ns.
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What does a speed-time graph indicate about an objects motion?
Answer:
A horizontal line on a speed-time graph represents a constant speed. A sloping line on a speed-time graph represents an acceleration. The sloping line shows that the speed of the object is changing. The object is either speeding up or slowing down.
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Explanation:
In which city would Earth’s gravitational field strength be the smallest?
Mount Nevado, Huascarán in Peru has the lowest gravitational acceleration, at 9.7639 m/s2.
What is gravitational acceleration ?
An object in free fall in a vacuum experiences gravitational acceleration. This is the gradual increase in speed brought on solely by the gravitational pull. No matter their masses or compositions, all bodies accelerate at the same rate in a vacuum; the measurement and analysis of these rates is known as gravimetry.
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what happens to the current in a circuit if a 1.5 volt battery is removed and is placed by a 9 volt battery?
Answer:
The current would increase.
Explanation:
The current would increase. 10. The relationship between resistance and current in a circuit is that the greater the resistance the less the current and the greater the current the less the resistance is.
if a 1.5-volt battery is removed and placed by a 9-volt battery in a circuit, From Ohm's law we can say that the current flow inside the circuit will increase because the voltage increases (resistance remains constant).
What is Ohm's law?Ohm's Law is a fundamental law of physics that describes the relationship between the three basic electrical quantities: voltage, current, and resistance in a circuit.
It states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. Mathematically, Ohm's Law is expressed as:
V = I x R
Where:
V = the voltage or potential difference between two points in the circuit, measured in volts (V).
I = the current flowing through the circuit, measured in amperes (A).
R = the resistance of the conductor, measured in ohms (Ω).
In other words, the voltage (V) across a circuit component is equal to the product of the current (I) flowing through the component and its resistance (R). This law is applicable to both DC (direct current) and AC (alternating current) circuits, as long as the resistance is constant.
Ohm's Law can be used to calculate any one of the three variables if the other two are known. For example, if the voltage and resistance in a circuit are known, the current flowing through the circuit can be calculated using the formula:
I = V / R
Here in the question,
The current in a circuit is determined by the resistance of the circuit and the voltage applied to it, according to Ohm's Law. If a 9-volt battery replaces a 1.5-volt battery, the voltage applied to the circuit will increase, which may cause an increase in the current flowing through the circuit if the resistance remains the same.
However, the increase in voltage may also cause an increase in the heat generated by the circuit, which could potentially damage the components or cause a safety hazard. Therefore, it is important to ensure that the components in the circuit can handle the higher voltage before replacing the battery.
It's also important to note that the current may also depend on the internal resistance of the batteries. A 9-volt battery typically has a lower internal resistance than a 1.5-volt battery, which means it can supply more current to the circuit. So, even if the resistance of the circuit remains the same, the current may still increase due to the higher voltage and lower internal resistance of the 9-volt battery.
Hence, The current flowing through the circuit increased when we removed a 1.5-volt battery and replaced it with a 9-volt battery.
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Net Force (N) = 5. 0
Mass (kg) = 2. 5
What is acceleration?
The acceleration of the object is 2.0 m/s². This means that for every second the object is in motion, its velocity will increase by 2.0 meters per second.
The given information is the net force (N) = 5.0 and the mass (kg) = 2.5. We need to determine the acceleration.
Acceleration is the rate at which an object's velocity changes over time.
It is directly proportional to the net force applied to the object and inversely proportional to its mass.
The formula to calculate acceleration is:
Acceleration = Net Force / Mass
Now, let's substitute the given values into the formula:
Acceleration = 5.0 N / 2.5 kg
Simplifying the equation:
Acceleration = 2.0 m/s²
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discuss whether any work is being done by each of the following agents and, if so, whether the work is positive or negative. (a) a chicken scratching the ground a chicken does work on the ground. the ground does work on the chicken. no work is done. is the work positive or negative? the work is positive. the work is negative. no work is done. (b) a person studying (holding up a book but not moving it) the person does work on a book. the book does work on the person. no work is done. is the work positive or negative? the work is positive. the work is negative. no work is done. (c) a crane lifting a bucket of concrete the crane does work on the bucket. the bucket does work on the crane. no work is done. is the work positive or negative? the work is positive. the work is negative. no work is done. (d) the force of gravity on the bucket in part (c) the bucket does work on gravity. the force of gravity does work on the bucket. no work is done. is the work positive or negative? the work is positive. the work is negative. no work is done. (e) the leg muscles of a person in the act of sitting down the leg muscles do work on the individual. the individual does work on the leg muscles. the individual does work on the chair. no work is done. is the work positive or negative? the work is positive. the work is negative. no work is done.
"a) The chicken scratching the ground does zero work.
b) A person studying is still and has no displacement so the work done is zero.
c) A crane lifting the bucket does positive work.
d) The force of gravity on the bucket does negative work.
e) The leg muscles of a person in the act of sitting down does negative work."
Mathematically, work done can be written as,
W = F r cosθ
where,
θ is the angle between force and displacement
r is displacement
a) The displacement is zero because the chicken is still, which suggests that the work is also zero.
b) As the person is still there is no displacement and the work done is zero.
c) The crane applies a vertical force and the displacement is vertical, therefore the work is positive.
d) The force of gravity is directed downwards and the displacement is upwards, so the angle between it is 180º and the 180º fly is -1. Consequently, the work is negative
e) When the person meticulously feels the upward force and the displacement is downward, the work is negative.
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A force of 2 lb stretches a spring 1 ft. An 8-lb weight is attached to the end of the spring and released 4in. above the equilibrium position from rest. If the medium offers a resistance to the motion of the weight numerically equal to 3/2 times the instantaneous velocity, find the equation of motion. Determine if the system is underdamped, overdamped, or critically damped.
The solution to the differential equation is then:
x(t) = 0.25e⁽⁻⁶·⁰²⁵t⁾ cos(2.181t)
And the system is underdamped because the roots of the characteristic equation have a non-zero imaginary part.
The force required to stretch a spring is directly proportional to the amount the spring is stretched. This relationship is known as Hooke’s Law. It can be expressed mathematically as:
F = -kx
Where F is the force applied to the spring, x is the displacement of the spring from its equilibrium position, and k is the spring constant.
For a mass-spring system under the influence of a damping force, the differential equation governing the system is:
m(d2x/dt2) + c(dx/dt) + kx = 0
where m is the mass of the object attached to the spring, c is the damping coefficient, and k is the spring constant.
The given force of 2 lb stretches the spring by 1 ft, so the spring constant is given by k = F/x = 2/1 = 2 lb/ft.
The 8-lb weight is released 4 in. above the equilibrium position, which is 0.25 ft. The initial displacement is therefore x(0) = 0.25 ft, and the initial velocity is v(0) = 0. The damping force is given by f_d = -3/2v. Using the values given, the differential equation for the system is:
m(d2x/dt2) + c(dx/dt) + kx = 0 (1)
The values of m, k, and c are given by
m = 8/g = 8/32.2 = 0.248 kg
k = 2/lb/ft * 0.4536 kg/lb * 0.3048 m/ft = 0.294 kg/sm = 0.248 kgc = 3/2
The equation of motion is then:
d2x/dt2 + 12.05dx/dt + 1.186x = 0 (2)
where we have substituted the values of m, c, and k into equation (1).
The characteristic equation is:
r2 + 12.05r + 1.186 = 0 (3)
Solving for the roots of the characteristic equation, we find:
r = (-12.05 ± √(12.052 - 4(1.186)))/2= -6.025 ± 2.181i
The roots are complex conjugates, so the solution to the differential equation can be written as:
x(t) = e⁽⁻⁶·⁰²⁵t⁾(C₁ cos(2.181t) + C₂ sin(2.181t)) (4)
The initial displacement and velocity are given by x(0) = 0.25 and v(0) = 0.
Substituting these values into equation (4) and taking the derivative, we get:
x(0) = C₁ = 0.25dx/dt|t=0 = -6.025
C₂ = 0
Solving for C₁ and C₂, we get:
C₁ = 0.25C2 = 0
The solution to the differential equation is then:
x(t) = 0.25e⁽⁻⁶·⁰²⁵t⁾ cos(2.181t) (5)
The system is underdamped because the roots of the characteristic equation have a non-zero imaginary part.
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Blood flows through a coronary artery that is partially blocked by deposits along the artery wall. Through which part of the artery is the flux (volume of blood per unit time) largest? A. The narrow part B.The wide part C.Same in both
When blood flows through a coronary artery that is partially blocked by deposits along the artery wall, the flux (volume of blood per unit time) is highest through the wide part of the artery. Therefore, the correct option is B.
The flux is a measurement of the flow of fluid per unit area over time. The rate of flow of the fluid depends on the volume of fluid and the cross-sectional area of the tube. Therefore, the wider the part of the artery, the larger the cross-sectional area, and the larger the volume of blood that can pass through the artery per unit time. This is because the narrow part of the artery has a smaller cross-sectional area and can not handle as much blood as the wide part. Hence, the flux is largest through the wide part of the artery. Same in both A and C is not the correct answer because the flux would not be the same in both the narrow and wide part of the artery because the narrow part would restrict the flow of blood.
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Question 6 of 10
In which three ways does the pattern seen on the screen during a double-slit
experiment support the wave model of light?
A. All of the light that enters the slits passes through them.
I B. There are bands of dimmer light.
C. There are bands of brighter light.
I D. The light bends around the edges of the slit.
Answer:
Explanation:
If 45,000 Joules of work done in 90 seconds results in how much power?
a body is thrown down from a tower of height 192 m with initial velocity 2m/s. find the time taken to hit the ground, velocity just before it hits the ground
Answer:
t = 6.47 s
v = 61.38 m/s
Explanation:
List out the variables we have/are given:
Δx = -192 mv₀ = 2 m/sv = ?t = ? a = -9.8 m/s²We can use this constant acceleration equation that contains Δx, v₀, a, and v to solve for v, the final velocity:
v² = v₀² + 2aΔxPlug in known values:
v² = (2)² + 2(-9.8)(-192)Simplify the equation.
v² = 4 +2(1881.6) v² = 3767.2Take the square root of both sides.
v = 61.37752031The velocity just before the body hits the ground is 61.38 m/s.
Let's find another equation that contains Δx, v₀, a, t to solve for t, the time:
Δx = v₀t + 1/2at²Plug in known values:
-192 = (2)t + 1/2(-9.8)t²Simplify this equation.
-192 = 2t - 4.9t²Set this equation equal to 0.
0 = -4.9t² + 2t + 192Factor this equation. You should get:
t = 6.46709390, t = -6.05893064Since time can't be negative, we will use the positive t value.
The time taken to hit the ground is 6.47 seconds.
slope or velocit ime graph represent
2. What is instantaneous acceleration?
3. What is unit vector?
Answer:
Please check the explanation.
Explanation:
The slope of the velocity-time graph illustrates the change in velocity with respect to change in time.
In other words, the acceleration of the object is defined by the slope of a velocity graph. The acceleration can be obtained by finding the slope at a particular time.
Hence, the slope of the velocity time graph represent represents acceleration.
2. Also the acceleration of any object, like a car or bike, at some discrete instant in time 't' is termed as instantaneous acceleration which can be determined if we may take the derivate of the given velocity function.
3. A vector that has a direction and magnitude of 1 is termed as a unit vector, often called a direction vector.
consider a photon of light. write the equation that links the maximum electric field (emax) and the maximum magnetic field (bmax). (1pt)
Answer is approximately 3.00 x \(10^8\) meters per second.
The equation that links the maximum electric field (Emax) and the maximum magnetic field (Bmax) of a photon of light is given by:
Emax = c * Bmax
where:
- Emax is the maximum electric field amplitude,
- Bmax is the maximum magnetic field amplitude,
- c is the speed of light in vacuum.
According to Maxwell's equations, in a vacuum, the electric and magnetic fields in an electromagnetic wave, such as a photon, are related to each other by the speed of light (c), which is approximately 3.00 x\(10^8\) meters per second. The equation above expresses this relationship, stating that the maximum electric field amplitude is equal to the speed of light multiplied by the maximum magnetic field amplitude.
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when connecting manifold gauges to a heat pump that is in heating mode the hoses should be connected to the?
The hoses should always be hooked to that same vacuum pump when installing manifold gauges on a heat engine that is operating in the heating mode.
What do people's gauges represent?When alluding to the jewellery itself, the phrase "gauge" is really just a made-up byword for "stretched earlobes." Gauges are sometimes referred to as jewellery by those who are unfamiliar with the technical jargon used in body modification. The width of piercings once they reach an inch is known as the gauge.
What does gauge mean?The French term "jauge," which means "result of measuring," is the ancestor of the noun "gauge" and is tied to it. Documents as from 13th century make reference to this word.
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Any planet that you have NOT crossed out above should have a Magnetic Field. Circle any planet above that yoa have NOT crossed out. Do the data in Table 7.3 support your choice(s)? lio 1 No (circle one) TUTORIAL REVIEW QUESTIONS 1. What is (are) the main factor(s) that affect(s) the amount and duration of geological activity on a terrestrial planet? 2. What is (are) the main factor(s) that affect(s) atmospheric conditions on a terrestrial planet? 3. The moons of the giant Jovian planets are small rocky-metal bodies that are, at the largest, about the size of Mercury (but most are smaller). Based on this and what you have learned about the factors that affect geologic activity and atmospheres on similar objects (Terrestrial planets), what geologic and atmospheric conditions would you expect to find on the surface of a typical Jovian moon?
The main factor that affects the amount and duration of geological activity on a terrestrial planet is its internal heat. This heat is generated through various processes such as radioactive decay and residual heat from planetary formation.
The presence of a molten core and active mantle circulation contributes to geological activity, including tectonic plate movements, volcanic eruptions, and mountain building. Other factors like the planet's size, composition, and distance from the Sun can also influence geological activity to some extent.
The main factors that affect atmospheric conditions on a terrestrial planet are its distance from the Sun, the composition of its atmosphere, and the presence of greenhouse gases. The proximity to the Sun determines the amount of solar energy received, which affects temperature and weather patterns. The composition of the atmosphere, including the presence of gases like oxygen, nitrogen, carbon dioxide, and water vapor, determines the planet's climate and the ability to support life. Greenhouse gases trap heat in the atmosphere, contributing to the greenhouse effect and influencing temperature regulation.
Based on what we know about the factors that affect geologic activity and atmospheres on terrestrial planets, we can expect that typical Jovian moons, being small rocky-metal bodies, would have limited geological activity and thin atmospheres, if any. The smaller size of these moons compared to terrestrial planets means that they have a lower heat-producing capability and less internal energy. Additionally, their lower gravitational forces make it challenging to retain substantial atmospheres. While some Jovian moons may have evidence of geological activity, such as cryovolcanism or tidal heating, they generally exhibit less dynamic geologic and atmospheric conditions compared to larger terrestrial planets.
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what is the spring constant of a spring that stores 25 j of elastic potential energy when compressed by 7.5 cm?
Answer:
8. 9×10³N/m
Explanation:
k=2U /x²
= 2(25J) / 0.075m²
=8. 9×10³N/m
suppose you have two negative point charges. as you move them farther and farther apart, the potential energy of this system relative to infinity:____.
Take the case where you have additional opposite unit charges. The potential energy of such a system with respect to infinity decreases as they are moved apart further and further.
What is potential energy defined as?Potential energy is a type of stored energy that depends on the relative locations of various system components. A spring's potential energy increases when it is stretched or compressed. When a steel ball is lifted above the earth's surface as opposed to being brought to it, it has far higher potential energy.
Which of these three forms of energy has potential?Stones poised on an edge of the cliff contain potential energy. If the stones fall, the stored energy will become kinetic energy. Branches high on the tree have had the potential to fall, which provides them life. The food we consume contains chemical potential energy.
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Studying more difficult subjects first is an effective study habit because
оа
easier topics require less time to review
Ob
they make you the most tired
ос
they require more effort and mental energy
O d
you can get through them faster
Answer:
easier topics require less time to review
Explanation:
a technician connects the red lead of a voltmeter to the b+ [output] terminal of an ac generator and the black lead to the battery positive terminal. he starts the engine and turns on all the lights and electrical accessories. what is the technician measuring?
Answer:
He is testing for voltage drop (voltage drop test)
Explanation:
Connecting the red lead of a voltmeter to the B+ output to an ac generator and black lead to a battery +ve terminal measures the voltage drop in the circuit when the engine is turned ON and all electrical accessories too.
with this he knows if the alternator is charging the battery.
The position of an object moving along a line is given by the function s(t)=−18t 2
+54t. Find the average velocity of the object over the following intervals. (a) [1,10] (c) [1,8] (b) [1,9] (d) [1,1+h] where h>0 is any real number. (a) The average velocity of the object over the interval [1,10] is −144 (b) The average velocity of the object over the interval [1,9] is −126 (c) The average velocity of the object over the interval [1,8] is −108 (d) The average velocity of the object over the interval [1,1+h] is
The average velocity of the object over the given intervals can be calculated using the position function s(t) = \(-18t^{2}\) + 54t. The average velocities are as follows: (a) -144, (b) -126, (c) -108, and (d) -18h + 36.
The average velocity of an object can be found by calculating the change in position divided by the change in time. In this case, we are given the position function s(t) = \(-18t^{2}\) + 54t.
(a) For the interval [1,10], the change in time is 10 - 1 = 9. To find the change in position, we evaluate s(10) - s(1):
s(10) = \(-18(10)^{2}\) + 54(10) = -1800 + 540 = -1260
s(1) = \(-18(1)^{2}\) + 54(1) = -18 + 54 = 36
Change in position = -1260 - 36 = -1296
Average velocity = Change in position / Change in time = -1296 / 9 = -144.
(b) For the interval [1,9], the change in time is 9 - 1 = 8. To find the change in position, we evaluate s(9) - s(1):
s(9) = -18(9)^2 + 54(9) = -1458 + 486 = -972
Change in position = -972 - 36 = -1008
Average velocity = Change in position / Change in time = -1008 / 8 = -126.
(c) For the interval [1,8], the change in time is 8 - 1 = 7. To find the change in position, we evaluate s(8) - s(1):
s(8) = \(-18(8)^{2}\) + 54(8) = -1152 + 432 = -720
Change in position = -720 - 36 = -756
Average velocity = Change in position / Change in time = -756 / 7 = -108.
(d) For the interval [1,1+h], the change in time is (1+h) - 1 = h. To find the change in position, we evaluate s(1+h) - s(1):
s(1+h) = \(-18(1+h)^{2}\) + 54(1+h) = -18(1 + 2h + h^2) + 54(1 + h) = -18 - 36h - \(18h^{2}\) + 54 + 54h = 36h - \(18h^{2}\) + 36
s(1) = \(-18(1)^{2}\) + 54(1) = -18 + 54 = 36
Change in position = (36h - \(18h^{2}\) + 36) - 36 = 36h - \(18h^{2}\)
Average velocity = Change in position / Change in time = (36h - \(18h^{2}\)) / h = 36 - 18h.
Therefore, the average velocities for the given intervals are (a) -144, (b) -126, (c) -108, and (d) 36 - 18h.
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why will the circuit stop working if the wites were made out of plastic instead of copper?
Answer:
plastic isn't conductive
Explanation:
Correct me if I'm wrong but plastic isn't conductive copper is so if it's not conductive it will probably mess up the circuit or somthing
A given mass of gas has a pressure of 80N/m² at a temperature of 40°C. if the temperature is reduced to 27°C with the volume remaining constant, the new pressure is A. 46.ON/m² B. 75.ON/m² C. 80.0N/m² D. 85.0N/m²
Answer:
Correct Answer: Option B
Explanation:
Explanation
P1/T1 = P2/T2
80/(273+47) = P1/(273+27) = 75Nm-2
Answer: 75.0 Nm^-2
Explanation:
P1/T1 = P2/T2 80/(273+47) = P1/(273+27) = 75Nm-2
If you shake one end of a rope up and down , a wave passes through the rope. Which type of wave is it?
Answer: a transverse wave
Explanation:
Answer:
a transverse wave
Explanation:
I think
1.) How are electric fields related to forces? Write the formula that describes this relationship and define each variable. In your own words, explain what this formula tells us. (35 points)
2.) How are electric field lines useful in describing the characteristics of an electric field? Explain how we can use the direction of electric field lines to describe the field. (35 points)
3.) How can we use electric field lines to determine the strength of an electric field? (30 points)
The electric force per unit charge is referred to as the electric field. It is assumed that the field's direction corresponds to the force it would apply to a good test charge.
Describe the electromagnetic field .
A system of charges' electrical surroundings can be elegantly described as an electric field. The force that a unit positive test charge would encounter if it were placed at any location in the electric field surrounding a system of charges.
A field line's tangent line shows the orientation of the electric field there. The electric field is stronger where the field lines are near together than it is farther apart.
Electric field lines provide details about the intensity and direction of an electric field in a given area of space. If the lines cross each other at a specific place, there must be two clearly distinct electric field values with their own unique directions there. From a positive point charge, the electric field radiates outward, and from a negative point charge, it radiates in.
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Sound waves are longitudinal waves and are also called _____ waves.A.electromagneticB.mechanicalC.transverseD.surface
ANSWER:
B. mechanical
STEP-BY-STEP EXPLANATION:
Sound or sonic waves are a mechanical waves created by a vibrating object.
So the correct answer is B. mechanical
lists planetary properties that are measurable with current extrasolar planet detection
The planetary properties that are measurable with current extrasolar planet detection includes:
Mass
Radius
Orbital Period
Orbital Eccentricity
Atmospheric Composition
How do we explain?The mass of an exoplanet can be determined through various techniques such as radial velocity measurements, transit timing variations, or astrometry.
On the other hand, the radius of an exoplanet can be estimated from transit observations that measure the decrease in brightness of the host star as the planet passes in front of it.
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During the formation of the aurora borealis, the electrons in an atom experience a change in energy levels. Which statement about this change is accurate?
First, the electron releases energy to move to a higher energy level.
First, the electron absorbs energy to move to a higher energy level.
First, the electron absorbs energy to move to a lower energy level.
First, the electron releases energy to move to a lower energy level.
Answer:
They are deflected as Earth’s magnetic field exerts force on them.
Explanation:
(Not for cheating, Just to help)
As solar wind approaches Earth, what happens to the charged electrons?
They are absorbed as Earth’s magnetic field exerts force on them.
They grow stronger as Earth’s magnetic field exerts force on them.
They grow weaker as Earth’s magnetic field exerts force on them.
They are deflected as Earth’s magnetic field exerts force on them.
First, the electron absorbs energy to move to a higher energy level.
Why is the compass needle oriented as it is in the diagram?
Answer:
Its north pole is attracted to the south pole of the magnet
Explanation:
Opposites attract, so therefor north and south attract and south and south repel because they are the exact same as well as north and north, which is also why on a compass it is always pointing north because the north magnetic pole is much greater and is attracted to the south, its opposite, therefor the north pulls the south towards it.
A museum groundskeeper is creating a semicircular statuary garden with a diameter of 30 feet. There will be a fence around the garden. The fencing costs $8. 00 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3. 14 for π
The fencing cost for a semicircular statuary garden with a diameter of 30 feet is approximately $471.60.
This is calculated by finding the circumference of the semicircle (half of a circle) using the formula C = πd, where d is the diameter, and then multiplying it by the cost per linear foot. The diameter of the semicircular statuary garden is 30 feet. Since we are dealing with a semicircle, we can divide the diameter by 2 to get the radius, which is 15 feet. The circumference of a circle is calculated using the formula C = πd, where π is a constant approximately equal to 3.14 and d is the diameter. Therefore, the circumference of the semicircle is C = 3.14 * 30 = 94.2 feet. The fencing cost per linear foot is $8.00. Multiplying the circumference by the cost per foot gives us $8.00 * 94.2 = $753.60. However, since we are dealing with a semicircle, we need to divide this by 2 to get the cost for the entire fence around the garden. Thus, the total fencing cost is approximately $471.60.
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An engine of 50Kg pumped water through a vertical height of 4m in 10s. Calculate the power of the pump(10 meters per second)
The power of the pump is calculated by dividing the work done by the time taken. In this case, the pump does 1960 Joules of work in 10 seconds, which results in a power of 196 Watts. The power of the pump is 1960 Watts.
We can calculate the power of the pump using the formula:
Power = Work done / Time taken. First, we need to calculate the work done by the pump. Work done is equal to the force applied multiplied by the distance traveled in the direction of the force. In this case, the force applied by the pump is the weight of the water being pumped, which is equal to the mass of the water (we'll assume it's 50 kg for simplicity) multiplied by the acceleration due to gravity (9.81 m/s^2). So, the force applied by the pump is:
Force = 50 kg x 9.81 m/s^2
= 490.5 N
First, we need to calculate the work done. Work done is given by the formula:
Work = mass × gravity × height
where mass = 50 kg, gravity = 9.8 m/s² (approx.), and height = 4 m.
Plug in the values into the formula:
Work = 50 kg × 9.8 m/s² × 4 m = 1960 Joules
Now, we need to calculate the power of the pump. Power is given by the formula:
Power = Work / Time
where Work = 1960 Joules and Time = 10 s.
Plug in the values into the formula:
Power = 1960 Joules / 10 s = 196 Watts
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A ball with a negative initial velocity slows down as it rolls down on a straight path is the ball’s acceleration positive or negative?
Answer:
positive acceleration.
Explanation:
As its slowing down gradually, its positive acceleration. When the ball slows down, its acceleration vector is in the opposite direction of its motion. Therefore positive acceleration.