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For each of the following examples, state which of Newton’s Laws apply and explain your answer. a. Astronauts feel pushed back into their seats during launch
For each of the following examples, state which of Newton’s Laws apply and explain your answer. a. Astronauts feel pushed back into their seats during launch. Newton's First Law (Law of Inertia):This law states that an object at rest will stay at rest, and an object in motion will stay in motion unlRead more
For each of the following examples, state which of Newton’s Laws apply and explain your answer.
a. Astronauts feel pushed back into their seats during launch.
Newton’s First Law (Law of Inertia):
This law states that an object at rest will stay at rest, and an object in motion will stay in motion unless acted upon by an external force. During launch, the rocket accelerates upwards, and due to inertia, the astronauts’ bodies tend to remain at rest. This resistance to the change in motion makes the astronauts feel as if they are being pushed back into their seats.
b. The force an astronaut exerts on his seat is equal in strength and opposite in direction to the force the seat exerts on the astronaut.
Newton’s Third Law (Action and Reaction):
This law states that for every action, there is an equal and opposite reaction. The force that the astronaut exerts on the seat is matched by an equal and opposite force exerted by the seat on the astronaut. These forces are action-reaction force pairs.
c. The force exerted by the rocket engine overcomes the forces of gravity and air resistance, resulting in an upward acceleration of the rocket.
Newton’s Second Law (Law of Acceleration):
See lessThis law states that the acceleration of an object depends on the net force acting upon the object and the object’s mass (F = ma). The rocket engine produces a thrust force that is greater than the combined forces of gravity and air resistance. The net force acting on the rocket results in its upward acceleration, according to Newton’s Second Law.
An individual seller in perfect competition will not sell at a price lower than the market price because
In perfect competition, the market structure is characterized by a large number of buyers and sellers, all selling homogenous products at a uniform price. Both buyers and sellers have perfect knowledge about the product, and the market forces of demand and supply determine the price level. In this mRead more
In perfect competition, the market structure is characterized by a large number of buyers and sellers, all selling homogenous products at a uniform price. Both buyers and sellers have perfect knowledge about the product, and the market forces of demand and supply determine the price level.
In this market structure, an individual seller cannot influence the market price by lowering prices, as they cannot meet the entire market demand on their own. Lowering prices to capture more market share is not a viable strategy. Instead, there is always a steady demand for the product at the prevailing market price, allowing the seller to sell any quantity they want at that price.
Final Answer:
Therefore, the correct answer is option C: The seller can sell any quantity they want at the prevailing market price. In perfect competition, all firms are price takers and there is no price war. The elasticity of demand depends on the types of goods and the specific market situation. Additionally, sellers in perfect competition cannot sell their product below the market price because they have no market power to influence the price. Thus, options A, B, and D are incorrect.
See lessYou want to retire in 25 years. You currently have $200.000 saved and you believe you need $1,200.000 at retirement. What annual interest rate will you need to earn to meet your goal?
To determine the annual interest rate required to meet your retirement goal, we need to understand the concept of future value (FV). The future value is the worth of a current asset at a specified point in the future based on an estimated rate of growth. This is crucial for investors and financial pRead more
To determine the annual interest rate required to meet your retirement goal, we need to understand the concept of future value (FV). The future value is the worth of a current asset at a specified point in the future based on an estimated rate of growth. This is crucial for investors and financial planners as it helps them predict the future value of current investments.
Explanation:
In annuity contracts, terms like present value (PV) and future value (FV) are frequently used. The future value of an annuity is the sum that will be accumulated over time, whereas the present value is the amount that must be invested now to achieve a desired future payment.
Number of years until retirement (n): 25 years
Current savings balance (P): $200,000
Future value of balance required at retirement (FV): $1,200,000
The future value formula is:
FV = P × (1 + r)n
Where:
Plugging in the values:
1,200,000 = 200,000 × (1 + r)25
To isolate r:
1,200,000 / 200,000 = (1 + r)25
6 = (1 + r)25
Taking the 25th root of both sides to solve for r:
1 + r = 61/25
1 + r ≈ 1.074301177
r ≈ 0.074301177
Converting to a percentage:
r ≈ 7.43%
Final Answer:
Thus, the required annual interest rate to meet your retirement goal is 7.43%.
See lessYou have been tasked with project management responsibility for a product development project leveraging cutting-edge, untested technology that promises industry disruption…
Project Methodology and Factors Project Methodology: For this groundbreaking initiative utilizing untested, cutting-edge technology, I have chosen the waterfall methodology. This approach is ideal due to its structured and sequential nature, which is crucial for managing the inherent uncertainties aRead more
Project Methodology and Factors
A drug tester claims that a drug cures a rare skin disease 69% of the time. To verify this claim, the drug is tested on 100 patients. If at least 63 patients are cured, the claim will be accepted…
Given: N = 100 P = 0.69 Q = 1 - P = 0.31 Calculate the mean and standard deviation: Mean (μ) = N × P = 100 × 0.69 = 69 Standard deviation (σ) = √(N × P × Q) = √(100 × 0.69 × 0.31) = √21.39 ≈ 4.62 Find the Z-score: To determine the probability that the claim will be rejected, we need to calculate theRead more
Given:
Calculate the mean and standard deviation:
Find the Z-score:
To determine the probability that the claim will be rejected, we need to calculate the Z-score for 63 patients:
Z = (X – μ) / σ = (63 – 69) / 4.62 = -6 / 4.62 ≈ -1.30
Calculate the probability:
We need to find P(Z ≥ -1.30):
P(Z ≥ -1.30) = 1 – P(Z < -1.30)
Using the standard normal distribution table, P(Z < -1.30) ≈ 0.0968.
So:
P(Z ≥ -1.30) = 1 – 0.0968 = 0.9032
Therefore, the probability that the claim will be rejected, assuming the manufacturer’s claim is true, is 0.9032 or 90.32%.
See lessWrite a program in NetBeans IDE 8.2 for NASA to determine if the weather conditions are favorable for the launch of a new rocket
import java.util.Scanner; public class RocketLaunch { public static void main(String[] args) { // Create a Scanner object to read input from the user Scanner scanner = new Scanner(System.in); // Get the sustained wind speed from the user System.out.print("Enter sustained wind speed (mph): ");Read more
import java.util.Scanner; public class RocketLaunch { public static void main(String[] args) { // Create a Scanner object to read input from the user Scanner scanner = new Scanner(System.in); // Get the sustained wind speed from the user System.out.print("Enter sustained wind speed (mph): "); double windSpeed = scanner.nextDouble(); // Get the current daily temperature from the user System.out.print("Enter current daily temperature (°F): "); double temperature = scanner.nextDouble(); // Determine if the launch conditions are safe if (windSpeed > 30 || temperature < 41) { // Abort launch if conditions are poor System.out.println("Weather conditions are poor. Abort rocket launch!"); } else { // Proceed with launch if conditions are good System.out.println("Weather conditions are good. The rocket is go for launch."); } // Close the Scanner object scanner.close(); } }
See lessThe sun is 1.5×108km from Earth. The index of refraction for water is 1.346. How much longer would it take light from the sun to reach Earth if the space between them were filled with water rather than a vacuum?
The distance of the Earth from the Sun is: d = 1.5 × 108 km = 1.5 × 1011 m The refractive index of water is: μ = 1.346 The refractive index (μ) is defined as: μ = speed of light in vacuum / speed of light in the material = c / v Thus, the speed of light in water is: v = c / μ Given: c = 3 × 108 m/sRead more
The distance of the Earth from the Sun is:
d = 1.5 × 108 km = 1.5 × 1011 m
The refractive index of water is:
μ = 1.346
The refractive index (μ) is defined as:
μ = speed of light in vacuum / speed of light in the material = c / v
Thus, the speed of light in water is:
v = c / μ
Given:
c = 3 × 108 m/s
Calculate the speed of light in water:
v = 3 × 108 m/s / 1.346 = 2.229 × 108 m/s
The time taken by light to reach the Earth when traveling through water is:
time = d / v = 1.5 × 1011 m / 2.229 × 108 m/s = 0.673 × 103 s
Convert the time to minutes:
t = 673 s
t = 673 / 60 min = 11.22 min
Final Answer:
The time taken for light to reach the Earth when the medium is water is:
t = 11.22 min
See lessIf Boward Co. has Common Stock of $40,000, total assets of $85,000, and total liabilities of $35,000, its Retained Earnings equals
We know that: Total Assets = Total Liabilities + Stockholders’ Equity Given: $85,000 = $35,000 + Stockholders’ Equity Calculate Stockholders’ Equity: Stockholders’ Equity = $85,000 - $35,000 Stockholders’ Equity = $50,000 Next, we know: Stockholders’ Equity = Common Stock + Retained Earnings Read more
Joro Spiders: Striking Visitors from the East! (Where are joro spiders from?)
Have you ever seen a spider that looks like it has a splash of sunshine? That's the Joro spider, scientifically known as Trichonephila clavata. These orb-weavers are known for their striking yellow and black bodies. Originating from East Asia, they are found in countries like China, Japan (excludingRead more
Have you ever seen a spider that looks like it has a splash of sunshine? That’s the Joro spider, scientifically known as Trichonephila clavata. These orb-weavers are known for their striking yellow and black bodies. Originating from East Asia, they are found in countries like China, Japan (excluding Hokkaido), Korea, and Taiwan.
Joro spiders are the architects behind the impressive wheel-shaped webs you might notice in gardens or forests. With their legs fully extended, they can measure up to 3 inches (8 cm) – nearly the length of a ruler.
See lessWhat should you keep in mind when hiring a freelance developer?
Your question is interesting and quite common for people looking to hire a freelance developer for their projects. After researching online and talking with developer friends, I’ve put together a list of things to keep in mind when hiring a freelance developer: Experience Matters: Look for someone wRead more
Your question is interesting and quite common for people looking to hire a freelance developer for their projects.
After researching online and talking with developer friends, I’ve put together a list of things to keep in mind when hiring a freelance developer:
If anyone has more points to add, feel free to share!
See less