The escape velocity of the spacecraft, launched from the surface, is about 10.3km/s, and when launched from a height of 13R, its orbital velocity would be around 7.53km/s.
We need to understand the basics of how human-made objects are launched into space and the effect of gravity on such bodies.
Any satellite or spacecraft launched into space first needs a certain speed to orbit around the planet. Any speed less than this would result in the spacecraft falling back into the planet due to its gravity. This speed is needed to beat the centripetal force on the satellite.
This velocity is known as the orbital velocity of the body.
In a few cases, we need the body to be sent out of the gravitational field of the planet, thus allowing it to explore planets and moons outside the field. This would require an even larger velocity, by inference. We need the body to not stop before it crosses the boundaries of the planet's field
This velocity is known as the escape velocity of the body.
Now, we define the expressions for these velocities, from the surface.
V (Orbital) = √(G*M/R)
V (Escape) = √(2*G*M/R)
Notice that escape velocity is √2 times the orbital velocity for any planet.
In the question, we have
M = 4.87E + 24
R = 6.05E + 3 for Venus
So,
The escape velocity from the surface
V = √2 *√[6.67*10⁻¹¹ *(4.87E + 24)/6.05E + 3]
V ≈ 10,356 m/s = 10. 35 km/s
For orbital velocity, we need to take into consideration the height of the body.
Thus, in place of R (dist. from the center), we use
new R = R + 13R = 14R
So, the orbital velocity from the given height is:
V = √[6.67*10⁻¹¹ *(4.87E + 24)/14(6.05E + 3)]
V = 7531 m/s = 7.53km/s
Thus, the orbital velocity for the body is 7.53km/s from the height of 13R, and the escape velocity is 10.35km/s.
For more on orbital and escape velocities,
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Which of the following correctly describes the relationship between speed and velocity?
Speed is the change in velocity over time; velocity is distance plus direction.
Speed is the change in distance over time; velocity is speed plus direction.
Speed is distance plus direction; velocity is speed plus time.
Speed is the change in acceleration; velocity is distance over time.
It is the second provided answer.
Speed is the change in distance over time; velocity is speed plus direction.
A Lockheed F-117 Nighthawk stealth bomber starts at rest at the south end of a runway and undergoes a uniform acceleration of 17.98 m/s2 to the north. it takes the plane 7s to reach a velocity of 60.16 m/s to the north. How far does the plane travel along the runway
Answer:
x = 100.64 [m]
Explanation:
To solve this problem we must use the following kinematics equation.
[tex]v_{f} = v_{i} + (a*t)\\[/tex]
[tex]v_{f} ^{2} = v_{i} ^{2} + (2*a*x)\\[/tex]
where:
Vi = initial velocity [m/s]
Vf = final velocity = 60.16 [m/s]
a = acceleration = 17.98 [m/s^2]
t = time = 7 [s]
Now replacing the values, we have:
(60.16)^2 = 0 + (2*17.98*x)
x = 100.64 [m]
How do you find Net Force?
Answer:
Net force is the total amount of force acting on an object when you take into account both magnitude and direction.[1] An object with a net force of zero is stationary. An unbalanced force, or net force of a magnitude greater than or less than zero, leads to acceleration of the object.[2] Once you have calculated or measured the magnitude of a force, combining them to find the net force is simple. Sketching a simple force diagram and making sure all of the forces are labelled and in the correct direction makes calculating net force a breeze.
Explanation:
What problem can you imagine coming from using digitized
DNA storage?
Answer: There are many problems associated with digitized DNA storage.
Explanation:
The cost of encoding the DNA data is high and lot of working efficiency is required for the same. The encoding process requires a considerable amount of time and encoding is slow. It takes about 400 bytes per second. This is done in a silicon memory chip. The process is millions of times slower.
What force is exerted on a ball of mass 100g if it accelerates from rest to 30 m/s in 3 seconds?
Force = mass * acceleration
acceleration = change in velocity / time taken
Answer:
[tex]a \: force \: \boxed{f} \: of \: \boxed{ 1N}[/tex]
Explanation:
[tex]given : \\ mass \: \boxed{m} = 100g = 0.1kg \\ velocity \: \boxed{v} = 30 {m(s)}^{ - 1} \\ time \: \boxed{t} = 3sec \\ .......................................................... \\ f = ma = \frac{mv}{t } \\ f = \frac{0.1 \times 30}{3} \\ \boxed{f = 1 \: N}[/tex]
♨Rage♨
Put these terms, which describe the way sound travels from the air through your ear, in the correct sequence: three tiny bones in the middle ear vibrate; your outer ear catches the sound and moves it inside your ear; a special nerve carries messages about sound to your brain; your eardrum begins to vibrate; liquid in the coiled tube of your inner ear vibrates
Explanation:
Hey there!
The orders;
Your outer ear catches the sound and moves it inside your ear.Your eardrumbegin to vibrates. Three tiny bones in middle ear vibrates. Liquid in the colied tube of your inner ear vibrates. A special nerve carries the messages about the sound to the brain.Hope it helps..
Jerrold just broke up with his girlfriend and is describing his current feelings about the breakup to his friend. According to Freud, from which part of Jerrold's mind did he pull the information to share? (2 points) Group of answer choices Unconscious Preconscious Conscious awareness Conscience
Answer:
Conscience
Explanation:
Conscience refers to a person's moral sense to differentiate between right and wrong to judge one's behaviour.
Jerrold just broke up with his girlfriend and is describing his current feelings about the breakup to his friend.
So, he pull the information from the conscience of Jerrold's mind.
A piece of metal is 4 cm by 10 cm by 2
cm. Find its mass if it has a density of 2
g/cm^3
Answer:
m = 160 g
Explanation:
Density = Mass / Volume
D = m/v
Step 1: Define
D = 2 g/cm³
V = 4 cm · 10 cm · 2 cm = 80 cm³
M = ?
Step 2: Substitute and solve for m
2 g/cm³ = m/80 cm³
m = 160 g
Dominic is one of the tallest son of Mang Marco. He have a height of 180 cm and weight of 68 kg. find her BMI and weight status.
Answer:
BMI = 20.98 [kg/m^2]; Normal or Healthy Weight
Explanation:
Body mass index (BMI) is a person’s weight in kilograms divided by the square of height in meters. Therefore we must convert the height from centimeters to meters.
BMI = 68 / (1.8)^2
BMI = 20.98 [kg/m^2]
BMI Weight Status
Below 18.5 Underweight
18.5 – 24.9 Normal or Healthy Weight
25.0 – 29.9 Overweight
30.0 and Above Obese
So the weight status is Normal or Healthy Weight
If you throw a ball up with a velocity of 3 m/s , how long will it take for the ball to reach the top of its path
Answer:
t = 0.306 s
Explanation:
Given that,
Initial velocity of the ball, u = 3 m/s
When it reaches the top of its path, its final velocity, v = 0
We need to find the time it takes the ball to reach the top of its path. It can be calculated using first equation of motion.
v = u +at
Here, a = -g
[tex]0=u-gt\\\\t=\dfrac{u}{g}\\\\t=\dfrac{3\ m/s}{9.8\ m/s^2}\\\\t=0.306\ s[/tex]
So, the ball will take 0.306 s to reach the top of its path.
a car travelling at a velocity of 15ms -1 due north speeds up uniformly to a velocity of 30 ms -1 in 3 seconds. Calculate the acceleration.
Answer:
5 m/s²
Explanation:
Given:
v₀ = 15 m/s
v = 30 m/s
t = 3 s
Find: a
v = at + v₀
30 m/s = a (3 s) + 15 m/s
a = 5 m/s²
a train travelled from city A to city B. For the first 14 hours, it travelled at an average speed of 120 km/h for the next 10 hours, it travelled at an average speed of 90km/h what was the average speed of the whole journey?
Answer:
107.5Explanation:
120 x 14= 1680 90 x 10= 900 Now you add 1680+900= 2580 Then you divide the distance (2580) between the speed (14+10) 2580/24= 107.5Vectors are unchanged if moved to another location as long as their length and direction remain unchanged
true or false
You are in charge of designing a movie stunt for a new Fast and Furious film. In this scene a stunt person has to jump from a bridge and land on a boat in the water 22.5 m below. The boat is cruising at a constant velocity of 48.3 m/s towards the bridge. The stunt person will jump up at 6.45 m/s as they leave the bridge. You have to give them a cue for when to jump. How far from the bridge should the boat be at the moment the stunt person jumps?
Answer:
103.5 meters
Explanation:
Given that a stunt person has to jump from a bridge and land on a boat in the water 22.5 m below. The boat is cruising at a constant velocity of 48.3 m/s towards the bridge. The stunt person will jump up at 6.45 m/s as they leave the bridge.
The time the person will jump to a certain spot under the bridge can be calculated by using the formula below:
h = Ut + 1/2gt^2
since the person will fall under gravity, g = 9.8 m/s^2
Also, let assume that the person jump from rest, then, U = 0
Substitute h, U and g into the formula above
22.5 = 1/2 * 9.8 * t^2
22.5 = 4.9t^2
22.5 = 4.9t^2
t^2 = 22.5/4.9
t^2 = 4.59
t = [tex]\sqrt{4.592}[/tex]
t = 2.143 seconds
From definition of speed,
speed = distance /time
Given that the boat is cruising at a constant velocity of 48.3 m/s towards the bridge, substitute the speed and the time to get the distance.
48.3 = distance / 2.143
distance = 48.3 * 2.143
distance = 103.5 m
Therefore, the boat should be 103.5m away from the bridge at the moment the stunt person jumps?
hlp
as material moves away from a mid-ocean ridge, it ______.
A.Rises
B.Warms
C.Cools
D.None of the above
Answer:
i think its C. cools
Explanation:
Answer:
B
Explanation:
A bumblebee is flying to the right when a breeze causes the bee to slow down with a constant leftward acceleration of magnitude 0.50 m s 2 0.50 s 2 m 0, point, 50, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction. After 2.0 s 2.0s2, point, 0, start text, s, end text, the bee is moving to the right with a speed of 2.75 m s 2.75 s m 2, point, 75, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction. What was the velocity of the bumblebee right before the breeze? Give the correct sign for your answer, using a coordinate system where rightward is positive. Round the answer to two significant digits.
Answer:
3.75 m/s
Explanation:
Given that a bumblebee is flying to the right when a breeze causes the bee to slow down with a constant leftward acceleration of magnitude 0.50 m/s^2. After 2.0 s the bee is moving to the right with a speed of 2.75 m/ s
What was the velocity of the bumblebee right before the breeze?
Since the breeze blows with the acceleration of 0.5 m/s^2 for 2 seconds, we can calculate the magnitude of the velocity at which it moves.
Acceleration = velocity/ time
Substitute the acceleration and time into the formula
0.5 = V/2
Cross multiply
V = 2 × 0.5
V = 1 m/s
The bumblebee is travelling right ward while the wind travels leftward.
The relative velocity = 2.75 m/s
Let the bumblebee speed = Vb
While the wind = VW
Vb - Vw = 2.75
Substitute the wind speed into the formula
Vb - 1 = 2.75
Vb = 2.75 + 1
Vb = 3.75 m/s
Therefore, the velocity of the bumblebee right before the breeze is 3.75 m/s
What type of energy is formed when chemical bonds are broken?
Light energy
Thermal energy
Chemical energy
Radiant energy
Answer:
Chemical
Explanation:
Just cuz
Answer:
Its chemical
Explanation:
I just took the quiz
pts Answered Holly was sitting on her bed when she remembered she needed to call her mom about what to do for her grandma's birthday. She got up and did a few dishes before calling her mom, but then she forgot why she had needed to call. She retraced her steps back to her bed, then suddenly remembered the purpose of the call. This can be explained by the ___________.A. Cue overload principle.
Group of answer choices.
A. Cue overload principle.
B. Recall effect.
C. Encoding specificity principle.
Answer:
C. Encoding specificity principle
Explanation:
Memory can be defined as the ability of an individual to assimilate information, store this information and recall or retrieve it later in the future.
Generally, there are basically three (3) processes associated with memory and these include;
1. Encoding of data: it involves the process of getting data (informations) into our memory.
2. Storage of data: it simply involves the process of storing and maintaining data (informations) in our memory.
3. Retrieval of data: it involves the process of getting or retrieving data (informations) out of our memory.
According to cognitive psychologists, the process of retrieving or getting data out of our memory can fail or be successful depending on a number of factors such as situation, condition, or context.
An encoding specificity principle states that an individual's memory is enhanced and improved when data (informations) made available during the process of encoding is also available at retrieval (decoding).
For instance, if students were tested in the same classroom where they were taught, there is a better chance of retrieving or recalling informations than testing them in a different classroom all together.
Hence, an encoding specificity principle suggest that when the conditions present during the encoding of information into memory are made available during retrieval, this would improve and enhance the recall of such informations. In this context, Holly retraced her steps back to her bed, then suddenly remembered the purpose of the call.
_______ is taking what you have observed and expressing it as a number.
Answer: measurement
A plane passes over Point A with a velocity of 8000 m/s north. Forty seconds later it passes over Point B at a velocity of 10,000 m/s north. What is the planes’ acceleration from A to B?
Answer:
The planes’ acceleration from A to B is 500m/s^2
Explanation:
Given that the initial velocity u is 8000m/s
and also given the final velocity v=10,000 m/s
the time taken to move from A to B = 40 second
The acceleration is defined as the rate of change of velocity with time
we know that the expression for acceleration is given as
a=(v-u)/t
substituting our given data into the expression for a we have
a=(10000-8000)/40
a=2000/40
a=500m/s^2
The planes’ acceleration from A to B is 500m/s^2
what is free fall ? give some example of it ?
Answer:
A free falling object is an object that is falling under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. ... Free-falling objects do not encounter air resistance.
Explanation:
Metal cutters have long handles.Give Reason.
Answer: For leverage and so the can be easily handled.
Explanation:
Tsunamis are much different than rogue waves. While rogue waves are and other waves are generated by winds tsunamis originate from geological events such as movement of tectonic plates. Tsunamis tend to travel very fast. A tsunami generated off the coast of Chile in 1990 is estimated to have traveled approximately 6200 miles to Hawaii in 15 hours. Determine the speed in mi/hr and m/s. (Given: 1.0 m/s = 2.24 mi/hr)
Can you help me set up the problem and the numbers in the right place?
Answer:
410 mi/hr or 180 m/s
Explanation:
Philadelphia is 150 km south of New York City. With what constant velocity (km/hr) would a plane have to fly to go from New York to Philadelphia in 20 minutes?
Answer: 450km/h
Explanation:
What is the kinetic energy of a 0.38 kg soccer ball that is traveling at a
speed of 120 m/s?
Answer:
The answer is 2736 JExplanation:
The kinetic energy (KE) of an object given it's mass and velocity can be found by using the formula
[tex]KE = \frac{1}{2} m {v}^{2} [/tex]
where
m is the mass of the object
v is the velocity
From the question
m = 0.38 kg
v = 120 m/s
We have
[tex]KE = \frac{1}{2} \times 0.38 \times {120}^{2} \\ = \frac{1}{2} \times 0.38 \times 14400 \\ = 0.38 \times 7200[/tex]
We have the final answer as
2736 JHope this helps you
What happens when an object experiences friction?
A. Friction changes mechanical energy to heat energy
B. Friction changes mechanical energy to electrical energy.
C. Friction changes mechanical energy to pizza.
D. Friction changes mechanical energy to light energy
Answer:
its A. because since heat energy means thermal i think it is A and also When friction acts between two surfaces that are moving over each other, some kinetic energy is transformed into heat energy.
Explanation: your welcome and i hope its right
Which statement best describes the movement of atoms in a solid?
O They are able to slide past each other.
O They spread apart as far as possible.
O They have no freedom to move.
O They are free to move in all directions.
Answer:
They have no freedom to move
Answer:
C
Explanation:
A bullet is fired out of a gun at 940 m/s. How far away does the bullet land if it is in the air for
0.2 seconds?
Answer:
is this a murderer question
Which is faster, 1 m/s or 1 mile/hour?
Answer:
1m/s
Explanation:
1m/s is
2.237 miles per hour
10
Design an experiment that can determine the relationship between
length of a pendulum and period (swingtime). Explain which variable is
dependent, which is independent, and list at least variables that will need
to be controlled. *
anyone know???
Answer:
Independent variable: length of pendulum
Dependent variable: period or swing time
Control variables: same mass of pendulum, point of release of each pendulum
Explanation:
This experiment involves determining the relationship between the length of a pendulum and period (swingtime) i.e. whether the length of the pendulum affected the period. In order to set up an experiment, pendulums with different lengths will be used. After the release of each pendulum, the swingtime or period (T) is measured.
- The independent variable is the variable that is changed or manipulated in the experiment. In this case, the independent variable is the LENGTH OF THE PENDULUM, which is changed for each pendulum.
- The dependent variable is the variable that is measured in an experiment. In this case, the PERIOD OR SWINGTIME is the dependent variable because it is what is measured.
- The controlled variable in an experiment is the variable that is kept unchanged for all the groups in an experiment. In this case, the MASS OF THE PENDULUM AND THE POINT OF RELEASE OF EACH PENDULUM are the control variables.
