Final answer:
To determine the length of Jupiter's orbit using Kepler's third law, information needed includes Jupiter's orbital period (11.86 years) and semimajor axis (5.20 AU). Using these, you verify the relationship P² ≈ a³ and calculate the orbit size.
Explanation:
To determine the length of Jupiter's orbit using Kepler's third law, you would need two key pieces of information: the time it takes for Jupiter to complete one orbit around the Sun (its orbital period) and the average distance of Jupiter from the Sun (its semimajor axis). Kepler's third law states that the square of the orbital period (P) of a planet is directly proportional to the cube of the semimajor axis (a) of its orbit, mathematically written as P² ≈ a³.
From this relationship, if you know one of the values (P or a), you can calculate the other. For Jupiter, its orbital period is approximately 11.86 Earth years, and its semimajor axis is about 5.20 Astronomical Units (AU). Using these values, you can confirm that its period squared is proportional to its semimajor axis cubed, which is consistent with Kepler's law. This law is valid for any two objects orbiting each other and does not depend on the masses of the planets or the Sun.
Thus, by knowing the values of Jupiter's orbital period or semimajor axis, Kepler's third law allows us to calculate and verify the expected size of its orbit around the Sun.
To determine the length of Jupiter's orbit using Kepler's third law, you need to know Jupiter's orbital period and the semi-major axis of its orbit.
Kepler's third law states that the square of the period of revolution (P) is proportional to the cube of the semi-major axis (a):
[tex]P^2 \propto a^3 \\[/tex]The formula can be written as:
[tex]P^2 = k \cdot a^3 \\[/tex]For objects orbiting the sun, k is approximately equal to 1 when P is in years and a is in astronomical units (AU).
Given Jupiter's orbital period (P) is 11.86 years and the semi-major axis (a) is 5.20 AU, you can verify the relationship by calculating:
[tex]P^2 = 11.86^2 = 140.83 \\[/tex][tex]a^3 = 5.20^3 = 140.61[/tex]Since 140.83 ≈ 140.61, Kepler's third law holds true.
A missile is moving 1350 m/s at 25.0° angle. It needs to hit in a 55.0° direction in 10.20 s. What is the direction of its final velocity?
Answer:
final velocity = 3504 m/s
Explanation:
Given data:
velocity of missile = Vi = 1350m/s
angle at which missile is moving = 25degree
distance between missile and targets = 23500m
angle between target and missile=55degree
time=10.2s
To find:
Final velocity: ?
Formula:
x = Vx*t + ½*ax*t²
Let x be the horizontal component of distance
x = ertical component of distance
t-time
ax = horizontal component of acceleration
ay = Vertical component of acceleration
Vx = horizontal component of velocity
Vy = Vertical component of velocity
Solution:
x = Vx*t + ½*ax*t²
23500m * cos55.0º = 1350m/s * cos25.0º * 10.20s + ½ * ax * (10.20s)²
ax = 19.2 m/s²
V'x = Vx + ax*t = 1350m/s * cos25.0º + 19.2m/s² * 10.20s = 1419 m/s
similarly vertically:
y = Vy*t + ½*ay*t²
23500m * sin55.0º = 1350m/s * sin25.0º * 10.20s + ½ * ay * (10.20s)²
ay = 258 m/s²
V'y = Vy + ay*t
= 1350m/s * sin25.0º + 258m/s² * 10.20s = 3204 m/s
V = √(V'x² + V'y²)
= 3504 m/s
Dominic Roth is in a roller coaster car, which rapidly picks up speed as it rolls down a slope.
As it starts down the slope, its speed is 4 m/s. But 3 seconds later, at the bottom of the
slope, his speed is 22 m/s. What is its average acceleration?
Answer: 6m/s²
Explanation:
Acceleration = change in velocity / time
Initial velocity = 4m/s
Final velocity = 22m/s
Time = 3s
Acceleration = (22 - 4) / 3
a = 18 / 3 = 6m/s²
A car travels 1800 m south in 35 s, what is it's velocity?
Answer:
its velocity is 51, or 51.42 to be exact it would be: 51.4285714286
what happens when a plastic lid sprinkled with iron filings is placed over a magnet?
When a plastic lid is sprinkled with iron filings is placed over a magnet then a pattern is formed. The iron fillings arrange themselves in a way how magnetic field is present. The force of the magnet is the strongest at the two ends because more iron particles are concentrated in these areas. The magnetic lines of flux flow from one end to the other.
You should never swim alone true or false
Answer:True
Explanation:
if you were to swim alone and something bad happen and there was none on the beach you'd be stuck out so NEVER swim alone :)
Ques
A skateboarder is cruising on his skateboard at 3 m/s and has a total mass of 70 kg. A friend jumps on
(from standing still). What is the new velocity of the skateboarder if the friend has a mass of 50 kg?
Answer:
When a particle or a system of particles move in a system where no external force acts, then the total linear momentum of the particle system remains constant.
Explanation:
Given data:
Total mass of the skateboarder, [tex]m_{1} = 70 \ kg[/tex]
Mass of the friend, [tex]m_{2} = 50 \ kg[/tex]
Initial velocity of the skateboarder, [tex]u_{1} = 3 \ m/s[/tex]
Initial velocity of the the friend, [tex]u_{2} = 0[/tex]
Let the new velocity of the skateboarder when his friend jumps be [tex]v[/tex].
From the conservation law of linear momentum,
[tex]m_{1}u_{1} + m_{2}u_{2} = (m_{1} + m_{2})v[/tex]
[tex]70 \times 3 + 50 \times 0 = (70 + 50)v[/tex]
[tex]\Rightarrow \ v &= 1.75 \ m/s.[/tex]
a bucket of unstretched springs (k=8 N/m) resting on the ground.Calculate the bucket's Mechanical Energy in [J}
Answer:
0 J
Explanation:
The mechanical energy of a spring is given by [tex]0.5kx^{2}[/tex] where k is spring constant and x is extension of spring. Since the spring is unstretched, its extension is zero.
#Notice that the potential energy is 0.
-Substituting spring constant, k with 8 and extension with zero then the mechanical energy will be
[tex]0.5\times 8\times 0^{2}=0 J[/tex]
List two ways you changed the speed of the ball without changing its direction..
A 111.6 g sample of iron was heated from 0°C to 20°C. It absorbed 1004 J of energy. What is the specific heat capacity of iron? A 0.00578 J/g°C B 0.45 J/g°C C 2.20 J/g°C D 4.18 J/g°C
Answer:
b.
[tex]0.45J/g\textdegree C[/tex]
Explanation:
Specific heat capacity is the amount of heat required to raise one gram of substance by one degree celcius.
It's calculated by the formula:[tex]s=\frac{q}{m\bigtriangleup T}[/tex], where q=heat and m= mass
[tex]\bigtriangleup T=20-0=20\textdegree C\\q=1004J\\m=111.6g[/tex]
Therefore:
[tex]s=\frac{1004J}{111.6g\times20\textdegree C}\\=0.45J/g\textdegree C[/tex]
Hence the iron's specific heat capacity is [tex]0.45J/g\textdegree C[/tex]
1. For a reaction to occur, energy must be
to break chemical bonds.
O A released
OB converted
OC absorbed
For a reaction to occur, energy must be absorbed to break chemical bonds
Explanation:
Reactions can be classified as chemical reaction, nuclear reaction, thermal reaction. So in these three reaction types, the nature of energy will only be varying.
But in order to execute a reaction, there should be breaking of existing bonds and then formation of new bonds. So for breaking of the bonds of reactants, energy should be absorbed from the surrounding.
Then the extra energy will be released after forming the products. Thus, the process of absorption of energy will lead to endothermic process and the process of releasing of energy will lead to exothermic reaction. So for a reaction to occur, energy must be absorbed to break the chemical bonds.
Shay reacts solid zinc and aqueous copper sulfate to form aqueous zinc sulfate and solid copper. If he reacts 10.1 grams of zinc with 18.6 grams of copper sulfate and yields 20 grams of zinc sulfate and 8.7 grams of copper, then was mass conserved? explain how you know.
Answer:
Now since mass of reactant is equal to mass of the product after the reaction so we can say that mass conservation is applicable here
Explanation:
As we know that zinc reacts with copper sulfate
so the reaction is given as
[tex]Zn + CuSO_4 --> ZnSO_4 + Cu[/tex]
so here we have
[tex]Zn = 10.1 g[/tex]
[tex]CuSO_4 = 18.6 g[/tex]
[tex]ZnSO_4 = 20 g[/tex]
[tex]Cu = 8.7 g[/tex]
Now total mass of reactant is given as
[tex]M_1 = 10.1 + 18.6 = 28.7 g[/tex]
Mass of the product is given as
[tex]M_2 = 20 + 8.7 = 28.7 g[/tex]
Now since mass of reactant is equal to mass of the product after the reaction so we can say that mass conservation is applicable here
Carmen is heating some water and trying to measure the temperature of water using a Celsius thermometer. Which measurement can she expect once the water begins to boil?
32°C
100° C
212°C
373°C
100° C she can expect once the water begins to boil.
Option: B
Explanation:
The boiling point for water at 1 pressure atmosphere of sea level is 212 ° F or 100 ° C. That value isn't a fixed. Water's boiling point is dependent on the ambient pressure, which varies based on elevation. At a lower temperature, water boils as one gains altitude like getting higher on a hill, and boils at a higher temperature if one increases the atmospheric pressure of returning to or below sea level.
It also relies upon the water's purity. Water containing contaminants like salted water boils at a level higher than pure water. This effect is called acceleration of the boiling point and is one of the material's colligative features.
Answer:
option b) 100°
Explanation:
What is the momentum of an adult female that is 75 kg riding a bicycle travelling at a velocity of 30 km/h.
Answer:
Explanation:
momentum is written as p
p = mass * velocity
p = mv
30 km per hr = 30 * 1000 meters per 3600 seconds
velocity = 30000 meters per 3600 seconds
p = mv
p = 75 * 30000 / 3600
p = 625 kilogram per meter second
I hope my answer helps you and is correct
Please mark as brainliest
The momentum of an adult female weighing 75 kg and riding a bicycle at 30 km/h (8.33 m/s) is 625 kg·m/s.
To calculate the momentum of an adult female riding a bicycle, we use the formula for linear momentum, which is momentum (p) = mass (m) × velocity (v). First, we need to convert the velocity from kilometers per hour (km/h) to meters per second (m/s) since the standard unit for velocity in physics is m/s. The conversion is as follows: 30 km/h = 30 × (1000 m/3600 s) = 8.33 m/s. The mass of the adult female is given as 75 kg.
Therefore, the momentum of the adult female riding a bicycle is:
p = m × v = 75 kg × 8.33 m/s = 625 kg·m/s.
1. Does this kind of wave carry energy?
Transverse wave
Longitudinal wave
Answer:
Yes they do
Explanation:
All waves (both transverse and longitudinal) transfer energy from one point to another.
(e.g think about sound waves (longitudinal) and light waves (transverse))
Noah stands 170 meters away from a steep canyon wall. He shouts and hears the echo of his voice one second later. What is the speed of the wave?
answer: 340 m/s
explanation: in this instance, the sound wave travels 340 meters in 1 second, so the speed of the wave is 340 m/s. remember, when there is a reflection, the wave doubles its distance. in other words, the distance traveled by the sound wave in 1 second is equivalent to the 170 meters down to the canyon wall plus the 170 meters back from the canyon wall.
The speed of the wave is 340 m/s. It can be calculated by dividing distance by time.
Given:
Distance = 170 meters
Time = 1 Seconds
What is Speed?It is defined as the ratio between distance and time.
Speed = Distance / Time
In this instance, The sound wave travels 340 meters in 1 second, So the speed of the wave is 340 m/s.
When there is a reflection, the wave doubles its distance. In other words, the distance traveled by the sound wave in 1 second is equivalent to 170 meters down to the canyon wall plus 170 meters back from the canyon wall.
Thus, the speed of the wave is 340 m/s.
Find more information about the Speed of waves here:
brainly.com/question/13867834
The diagram shows the protons and neutrons in an atom.
p = protons n = neutrons
Which fundamental force is shown?
O static
o electromagnetic
O strong
O light
p
7
na LA
P
n
Answer:
O strong
Explanation:
From the diagram, we are dealing with strong forces.
Strong forces are one of the four fundamental forces found in nature. The other forces are gravitational forces, electromagnetism and weak interactions.
Strong forces holds protons and neutrons together in an atom. They are domiciled in the nucleus and are sources of nuclear energy. They are also called strong nuclear forces.Answer:
Strong
Explanation:
Identify the correct Units for a Force
Answer:
Newton
Explanation:
Newton is the correct unit for a force
An airplane travels 622.4 km from Kansas City to St. Louis. The flight takes 4.7 hours. Calculate the Velocity of the plane
Answer:
132.43km/h
Explanation:
Velocity = displacement/time
Given
Displacement = 622.4km
Time = 4.7 hours
Therefore,
Velocity = 622.4km/4.7hrs
= 132.43km/h
1) A force of 20 Newton acts on a bar having a cross sectional area of 0.8m^2 and length 10cm.calculate the stress developed in the bar
Answer:25N/M^2
Explanation:
Force=20N Area=0.8M^2
Stress=force/area
Stress=20/0.8
Stress=25N/M^2
A slug traveling at 3 mm/h, East decided to race the slug next to him increasing his velocity to 5 mm/h, East in one hour. What was the slug's acceleration?
The Acceleration of slug would be 2 mm/hr²
Step by step Explanation:
Given of the solution
Initial velocity of the slug,(we can represent as [tex]v_{i}[/tex]) [tex]v_{i}[/tex]= 3 mm/hr
Final velocity of the slug,(we can represent as [tex]v_{f}[/tex] ) [tex]v_{f}[/tex]= 5 mm/hr
Time, t = 1 hr
Acceleration, a = ?
We know,
[tex]a = \frac{(5-3)}{1} \\\\a = 2 mm/hr^2[/tex]
Therefore, The Acceleration of slug would be 2 mm/hr²
How much heat is required to raise the temperature of 0,20 kg of water from 15 degrees Celsius to 45 degrees Celsius?
Answer:
25116 J
Explanation:
The amount of heat required to raise the temperature of a substance is given by the equation
[tex]Q=mC\Delta T[/tex]
where
m is the mass of hte substance
C is the specific heat capacity of the substance
[tex]\Delta T[/tex] is the change in temperature
For the sample of water in this problem, we have:
m = 0.20 kg is the mass
[tex]C=4186 J/kg^{\circ}C[/tex] is the specific heat of water
[tex]\Delta T=45-15=30^{\circ}C[/tex] is the increase in temperature
Therefore, the amount of heat required is
[tex]Q=(0.20)(4186)(30)=25116 J[/tex]
A string of fifty 15 ohm Christmas tree lights are connected in series. One burns out, they all burn out.Calculate the total resistance. (Draw a one way switch to control all of them at once)
The effective resistance of many individual resistors in series is the sum of the individual resistances.
50 items in series, each with a resistance of 15 ohms, are equivalent to a single resistance of (15 x 50) = 750 ohms.
By the way . . . If one of the little bulbs in series burns out, all the others do NOT burn out. They simply get turned off and go dark, because the current can't flow through the one that did.
The total resistance of the string of fifty 15 ohm Christmas tree lights that are connected in series is 750 ohms.
Total resistance of the series resistors
The total resistance of the series resistors is determined by adding all the componenets of the resistors together.
Rt = R1 + R2 + R3 + ----
where;
Rt is the total resistance of the series circuitRt = 50 x (15 ohms)
Rt = 750 ohms
Thus, the total resistance of the string of fifty 15 ohm Christmas tree lights that are connected in series is 750 ohms.
Learn more about total resistance here: https://brainly.com/question/2980867
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7. What two controls on a car cause a change in speed? What control causes a change in
velocity?
-- A change in speed can be either speeding up or slowing down. These effects can be caused by the gas pedal or the brake pedal.
-- Velocity is made of the car's speed and direction. These can be changed by the gas pedal, the brake pedal, or the steering wheel.
Final answer:
The two controls causing a change in car speed are the accelerator and brakes. For velocity, any change in speed or direction (affected by the accelerator and steering wheel) can alter it. An odometer measures distance traveled, while a speedometer measures instantaneous speed.
Explanation:
The two controls on a car that cause a change in speed are the accelerator (gas pedal) and the brakes. Pressing the accelerator increases the car's speed, while applying the brakes decreases it. The control that causes a change in velocity is both the accelerator and the steering wheel. This is because velocity includes both speed and direction. Thus, pressing the accelerator affects speed, which is a part of velocity, and turning the steering wheel alters the direction of the car's velocity.
Velocity is defined by both speed, which is a scalar quantity, and direction, a vector quantity. Changing either of these two or both simultaneously, results in a change in velocity. Acceleration, therefore, refers to the rate at which velocity changes over time and can occur due to a change in speed, direction, or both. For example, when a car moves from left to right at a constant velocity and the accelerator is pressed, both the velocity and acceleration vectors point rightwards. However, if the brakes are applied while the car is still moving to the right, the velocity remains directed to the right but the acceleration vector points to the left, indicating deceleration.
The car's odometer measures the total distance traveled, which is a scalar quantity, while the speedometer measures the instantaneous speed of the car, also a scalar. To illustrate the difference between average speed and the magnitude of average velocity consider a car trip where the car moves in a circle and returns to its starting point. The average speed is the total distance traveled divided by the elapsed time, whereas the magnitude of average velocity would be zero since displacement is zero after completing the loop. The two quantities are the same if the car travels in a straight line without changing direction.
A 5.00 kg crate is on a 21.0° hill.
Using X-Y axes tilted down the
plane, what is the y-component
of the weight?
(Unit = N)
Answer: 4575N
Explanation:
For y component, W = mgcosø
W = 500×9.8cos21
W = 4574.54N
Find the diagram in the attached file
Answer:
-45.745
Explanation:
negative because it is downward
4a.) A 0.50 kg water balloon is thrown against a wall at 32 m/s coming to a stop. What was its change in
momentum?
Answer:
-16 kg m/s
Explanation:
Momentum is a vector quantity indicating the "amount of motion" in an object.
The change in momentum of an object is given by:
[tex]\Delta p = m(v-u)[/tex]
where:
m is the mass of the object
u is its initial velocity
v is its final velocity
For the water balloon in this problem, we have:
m = 0.50 kg is the mass
u = 32 m/s is the initial velocity
v = 0 m/s (since the balloon comes to a stop)
Therefore, the change in momentum is:
[tex]\Delta p=(0.50)(0-32)=-16 kg m/s[/tex]
And the negative sign indicates that the direction is opposite to the initial velocity.
A 2 kilogram mass is lifted 4 meters above the ground what is the change it gravitational energy
Answer:
78.4 J
Explanation:
The gravitational potential energy of an object is the energy possessed by the object due to its location in the gravitational field.
The change in gravitational potential energy of an object is given by:
[tex]\Delta U=mg\Delta h[/tex]
where:
m is the mass of the object
[tex]g=9.8 m/s^2[/tex] is the acceleration due to gravity
[tex]\Delta h[/tex] is the change in height of the object
For the mass in this problem, we have:
m = 2 kg is the mass
[tex]\Delta h = 4 m[/tex] is the change in height
So, its change in gravitational energy is:
[tex]\Delta U=(2)(9.8)(4)=78.4 J[/tex]
Definition: To stir, shake, mix, or otherwise move something in order to accelerate a reaction or other
change.
agitate... hope this helps.......
In Chemistry, to accelerate a reaction often involves using a catalyst to increase the reaction rate without the catalyst being consumed. Acceleration in Physics refers to a change in an object's velocity, as described by Newton's first law of motion.
Explanation:The term 'to accelerate' typically implies speeding up any process or reaction. In the context of Chemistry, this often refers to increasing the rate at which a chemical reaction occurs. Factors that can accelerate a reaction include stirring, increasing temperature, or adding a catalyst. A catalyst is a substance that increases the speed of a reaction without being consumed in the process. Acceleration, specifically in Physics, is defined as the change in velocity - which can be in the magnitude or direction or both. Newton's first law of motion, also known as the law of inertia, states that a body at rest remains at rest, and a body in motion remains in motion at a constant velocity unless acted upon by a net external force — implying the role of acceleration when this state is altered.
Acceleration
a=124 -0)3
a (Vf-vilt
a velocity
Vf- fina velocity
t = time vizan
initial velocity
Answer:
[tex]41.3 m/s^2[/tex]
Explanation:
The acceleration of an object is the rate of change of the velocity of the object.
It is a vector quantity, so it has a magnitude and a direction.
The acceleration is given by:
[tex]a=\frac{v_f-v_i}{t}[/tex]
where
[tex]v_f[/tex] is the final velocity
[tex]v_i[/tex] is the initial velocity
t is the time taken for the velocity to change
If the acceleration is positive, the direction is the same as the initial velocity; if the acceleration is negative, the direction is opposite to the initial velocity.
In this problem:
[tex]v_i=0[/tex] is the initial velocity
[tex]v_f=124 m/s[/tex] is the final velocity
t = 3 s is the time
So, the acceleration is
[tex]a=\frac{124-0}{3}=41.3 m/s^2[/tex]
In a battery powered flashlight, how is energy converted
Answer:
The correct answers are "chemical energy into electrical energy" and then "the electrical energy into light energy". Explanation: In the battery-powered flashlight, the battery supplies the chemical energy which makes the electrons to flow in the circuit and constitutes the current
Explanation:
Question 15 (4 points)
The environmental impact of deforestation is decreased by using buffer zones of trees to prevent clear-cut areas from
looking so bare.
True
False
Answer:
True
Explanation: