1. A ball is thrown into the air with an initial velocity of 20 ft/s. (10 Marks)

a) How long is the ball in the air?
b) How high does the ball go?
c) At what time is the ball at a height of 3 ft?



2. You are traveling along a highway at night at a speed of 100 km/h when you spot an object directly in front of you in the road at the limit of your headlights. (10 Marks)

a) If the maximum braking deceleration that your car can provide is 7 m/s2, and if your headlights extend out to a range of 30 m, will you hit the object before coming to a stop?

b) How long will it take to stop?
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Answer:

The formation of a magnetosphere requires that the dipolar field is strong enough for the obstacle effective size to be larger (Dp > 20λi) than ion scales. In this case, a bow shock, magnetosheath, and magnetospheric system are driven, and the flow is modified far upstream.

Answer:

D and E

Explanation:

I had this quiz as well so-

Answer:

35 N to the left

Explanation:

Do 65 minus 30, and you get 35 N to the left

Because force is a vector quantity, you have to mention both magnitude and direction in your answer.

The stress in the  rod is equal to \(2.55 \times 10^8\;N/m\)

Given the following data:

To calculate the stress in the  rod:

First of all, we would determine the area of the rod by using this formula:

\(Area = \frac{\pi d^2}{4} \\\\Area = \frac{3.142 \times 0.01^2}{4}\)

Area = 0.00007855 meter.

Mathematically, stress is given by this formula:

\(Stress = \frac{Force}{Area}\)

Substituting the given parameters into the formula, we have;

\(Stress = \frac{20000}{0.00007855} \\\\Stress = 2.55 \times 10^8\;N/m\)

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The frequency of f3 is approximately 716 Hz.

The frequency of a repeated event is its number of instances per unit of time. Hertz (Hz), which stands for the number of cycles per second, is a popular unit of measurement.

a. Given two frequencies, f1 and f2, the frequency ratio is as follows:

frequency ratio= \(\frac{f2}{f1}\)

Inputting the values provided yields:

frequency ratio = \(\frac{576}{320Hz}\) =1.8.

As a result, the difference in frequency between f1 = 320 Hz and f2 = 576 Hz is 1.8.

b. Since there are 12 half-steps in an octave and a fourth is a distance of 5 half-steps, going down a fourth requires dividing the frequency by \(2^{(4/12)}\). Hence, once a fourth is subtracted, the frequency ratio between f and f1 is:

frequency ratio= \(\frac{f}{ (f1 /f2 ) }\)=  \(\frac{f}{ (f1 / 1.3348) }\)

By dividing the numerator and denominator by 1.3348, we may make this more straightforward:

frequency ratio= (f × 1.33348)/f1

As a result, (f × 1.3348) / f1 is the frequency ratio between f and f1 after descending a fourth.

c. (c) To find the frequency of f3, we need to know the interval between f1 and f3. Let's assume that f3 is a fifth above f2. The frequency ratio for a fifth is given by: \(2^{(7/12)}\) = 1.49831

Therefore, the frequency of f3 is:

f3 = f1 × (\(2^{(7/12)}\)) × (\(2^{(7/12)}\)) = 320 Hz × 1.49831 ×1.49831 = 716 Hz

Therefore, the frequency of f3 is approximately 716 Hz.

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The information we will need to demonstrate that an object is in motion include;

An object is in motion when it changes its position with time, relative to a stationary object.

Mathematically, we can use the following equation to demonstrate the motion of an object.

v = Δx / Δt

where;

So the data we will need to demonstrate that an object is in motion include;

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Some psychologists believe that eating disorders represent a defense against unconscious conflicts related to sexual development. These psychologists have adopted a Psychoanalytic approach to eating disorders.

A psychoanalytic approach is based on the idea that our unconscious thoughts, feelings, and motivations can have a powerful influence on our behavior by focusing on helping individuals to gain insight into their unconscious processes, recognize and resolve conflicts, and modify their behavior.

Therefore, with this data, we can see that a Psychoanalytic approach is based on unconscious mental processes to develop a cure.

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Mark's work decreases when he climbs the same flight of stairs again in the same amount of time without the cello.

The correct answer is option D.

The amount of work Mark does depends on the weight of the cello, as well as the distance he climbs and the time it takes. Work is calculated using the formula :

Work = Force × Distance.
In the given scenario, Mark is carrying a full-sized cello while climbing the stairs. The weight of the cello adds to the force he exerts. So, the total force Mark exerts is the weight of the cello plus his own weight (375 N).

When Mark climbs the stairs with the cello, he is doing work against the force of gravity.

The work done is equal to the force exerted multiplied by the distance climbed (375 N + weight of cello) × 4 m.

Now, if Mark were to climb the same flight of stairs again in the same amount of time (3 seconds), but this time without the cello, the amount of work he does would decrease. This is because without the cello, the force exerted would only be Mark's weight (375 N), which is less than the total force exerted with the cello.

Therefore, mark's work decreases.

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Answer:

un café y a seguir pensando porque no se la respuesta xd

Answer:

22 crates

Explanation:

Power = Force ×Distance/time taken

Power = m×a×d/t

Power = 30×9.81×0.9/60 (1min was converted to second)

Power = 264.87/60

Power = 4.4145Watts

If my average power output us 100aw, then;

Number of crate to load = average power/4.4145

Number of crates to load = 100/4.4146

Number of crates to load = 22.6

Hence I will have to load about 22 crates onto the truck in 1 minute for my average power output in lifting the crates to be 100 W.

The time will be the same for both horizontal and vertical component. The initial speed is 10.7 m/s

Speed is a distance travel per time taken. It is a scalar quantity and it is measured in m/s

Given that a person standing at the edge of a seaside cliff kicks a rock horizontally of the cliff from a height of 52 m and it lands a distance of 35 m from the base of the cliff.

The rock will move vertically downward with initial velocity = 0. The time taken will be constant. That is, same horizontally.

Let us first calculate the time by using the formula

h = ut + 1/2gt²

Where

Substitute all the necessary parameters into the formula

52 = 0 + 1/2 × 9.8 × t²

52 = 4.9t²

t² = 52/4.9

t² = 10.6

t = √10.6

t = 3.26 s

The speed at which the rock was initially kicked can be found by

R = Ut

35 = U × 3.26

U = 35/3.26

U = 10.7 m/s

Therefore, rock was initially kicked at a speed of 10.7 m/s

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Answer:

Explanation:

Sure, I'd be happy to help you with the question!

Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.

So, the function can be written as:

Output = (6 * x) - 80

Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:

x = (6 * x) - 80

Let's solve this equation to find the value of x:

x = 6x - 80

Subtracting 6x from both sides, we get:

x - 6x = -80

Combining like terms, we have:

-5x = -80

Dividing both sides by -5, we find:

x = (-80) / (-5)

Simplifying the expression, we have:

x = 16

Therefore, the input (x) that results in the input being the same as the output is 16.

To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.

Answer:

16

Explanation:

(x*6) - 80 = x

Multiply the parentheses

6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16

The acceleration of skateboard on road A will be 7.74 \(m/s^{2}\)

The acceleration of skateboard on road B will be 3.87 \(m/s^{2}\)

The acceleration of skateboard on road C will be 9.68 \(m/s^{2}\)

force = mass * acceleration

mass1 = 62 kg

force1 = 480 N

acceleration1 = force / mass

                     = 480 / 62 = 7.74 \(m/s^{2}\)

mass2 = 62 kg

force2  = 240 N

acceleration 2  = 240 / 62 = 3.87  \(m/s^{2}\)

mass 3 = 62 kg

force 3  = 600 N

acceleration 3  = 600 / 62  = 9.68  \(m/s^{2}\)

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Answer:

Percent composition is calculated from a molecular formula by dividing the mass of a single element in one mole of a compound by the mass of one mole of the entire compound. This value is presented as a percentage.

Explanation:

Hope this helps..

Answer:

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

And

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. All of something is 100 percent, half of it is fifty percent, none of something is zero percent. ... A percentage can also mean a portion of something but only when it has to do with numbers.

hope this helps

A charged particle will not follow a field line if it is subjected to an external force that is greater than the force of the electric field.

Electric field is an area of influence created by an electric charge. It is a vector field that surrounds a charged particle or object and exerts a force on other charged particles or objects in its vicinity. Electric fields are created by the movement of electrons and protons, which are both components of atoms. The strength of an electric field is determined by the amount of charge present, as well as the distance from the source.

For example, if a charged particle is subjected to a strong magnetic field, it will experience a Lorentz force which can cause the particle to deviate from its original trajectory and follow a curved path instead of following the field line.

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Answer:

Explanation:

To find the current flowing in the circuit, we can use Ohm's Law and Kirchhoff's circuit laws.

Ohm's Law states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R):

I = V / R

In this case, the voltage (V) is the electromotive force (EMF) of the current source, which is 14 V. The total resistance (R) in the circuit is the sum of the internal resistance (r) and the resistances of the two resistors (R1 and R2):

R = r + R1 + R2

Given that the internal resistance (r) is 1Ω and each resistor (R1 and R2) has a resistance of 3Ω, we can substitute these values into the equation:

R = 1Ω + 3Ω + 3Ω = 7Ω

Now we can calculate the current (I):

I = V / R = 14 V / 7Ω = 2 A

Therefore, the current flowing in the circuit is 2 Amperes.

If you pull with a constant force of 400 N for 0.2 meters, then the work done will be equal to 80 J.

In physics, the word "work" involves the measurement of energy transfer that takes place when an item is moved over a range by an externally applied, at least a portion of which is applied within the direction of the displacement.

The length of the path is multiplied by the element of a force acting all along the path to calculate work if the force is constant. The work W is theoretically equivalent towards the force f times the length d, or W = fd, to portray this concept.

As per the given information in the question,

Force, f = 400 N

Displacement, d = 0.2 meters

\(Work done(W)=Force(f)*Displacement(d)\)

W = 400 × 0.2

W = 80 J.

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Answer:

It is importants because it facilitates the monitoring and analysis of global earthquakes and other sources of seismic activity.

Explanation:

Creating a system to effectively solve problems is important as it helps an individual or organization to accomplish the goals and objectives.

The 4 step problem solving process is an important approach for effective problem-solving.The 4 step problem solving process involves the following steps:Identifying the problemGathering information and analyzing the problemIdentifying possible solutionsEvaluating and selecting the best solution to the problem.Some of the benefits that one would like to see in their own life as they begin to apply the 4 step problem solving process are as follows:1. Better decision-making skills: The 4 step problem solving process helps individuals to make better decisions in their personal and professional lives. The process helps an individual to evaluate all possible solutions before choosing the best solution to the problem.2. Effective time management: The 4 step problem solving process helps an individual to solve problems quickly and efficiently, leading to effective time management. It helps an individual to focus on the important aspects of the problem and make quick decisions.3. Improved communication: The 4 step problem solving process involves gathering information, analyzing the problem, and identifying solutions. It also involves communicating with others to get more information or to help evaluate solutions.

Effective communication skills are important in this process, and this can be improved through practicing the 4 step problem solving process.4. Improved problem-solving skills: The 4 step problem solving process helps individuals to develop better problem-solving skills, which is important in both personal and professional life. It helps an individual to think critically and creatively to identify the best possible solutions to a problem. This skill can be useful in various situations, including work, school, and personal relationships.

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Thank you for reaching out to me with your question. From what I understand, you are curious about the importance of an assignment or exam that is worth 20% of your grade.

To put it simply, any assignment or exam that is worth a certain percentage of your grade is an indicator of how much weight that particular task carries in determining your overall grade for the course. In other words, if you were to score poorly on an assignment that is worth 20% of your grade, it could significantly impact your final grade.
It is important to note that each assignment or exam may be worth a different percentage, and it is up to the instructor to determine the weight of each task. Generally, assignments and exams that are worth a higher percentage of your grade carry more weight and have a greater impact on your final grade.
Therefore, it is crucial to take each assignment or exam seriously and give it your best effort, especially those that carry a higher percentage of your grade. It is also important to keep track of your grades throughout the semester and identify any areas that may need improvement, so you can work towards improving your overall grade.
I hope this explanation helps clarify the importance of an assignment or exam that is worth a certain percentage of your grade. Please let me know if you have any further questions or concerns.

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Answer:

friction help to slow motion in other word it oppose motion, but in a frictionless environment object would move with difficult stopping point.

ANSWER:

False

STEP-BY-STEP EXPLANATION:

Weight is a type of force that is equal to mass times acceleration, that is, it is measured in force units such as newtons.

Mass is the amount of matter in a body, its units can be pounds or kilograms.

Therefore, the statement is false.

The skater's final angular velocity is approximately 9.86 rad/s.

The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

Initially, the skater has an angular momentum of:

L_initial = I_initial * ω_initial

Substituting the given values:

L_initial = 2.12 kg m² * 3.25 rad/s

The skater's final angular momentum remains the same, as angular momentum is conserved:

L_final = L_initial

The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:

L_final = I_final * ω_final

0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s

Solving for ω_final:

ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²

Hence, the skater's final angular velocity is approximately 9.86 rad/s.

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The important factors in determining if a force is doing physics work include

1) The amount or magnitude of the force being applied

2) The displacement caused by the applied force

Hence,

Work = force x displacement

Car's Initial velocity (u) = 5 m/s

Car's Final velocity (v) = 0 m/s (Stop)

Acceleration of the car (a) = -1.5 m/s²

Equation used to solve this problem:

\( \boxed{ \bf{ {v}^{2} = {u}^{2} + 2as}}\)

By substituting values in the equation, we get:

\( \rm \longrightarrow {0}^{2} = {5}^{2} +2 \times ( - 1.5) \times s \\ \\ \rm \longrightarrow 0 = 25 - 3s \\ \\ \rm \longrightarrow 25 - 3s = 0 \\ \\ \rm \longrightarrow 25 - 25 - 3s =0 - 25 \\ \\ \rm \longrightarrow - 3s = - 25 \\ \\ \rm \longrightarrow 3s = 25 \\ \\ \rm \longrightarrow \dfrac{3s}{3} = \dfrac{25}{3} \\ \\ \rm \longrightarrow s = 8.3 \: m\)

\( \therefore \) Displacement of the toy car (s) = 8.3 m

Answer:

0.65 sec

Explanation:

V = L*ΔI/Δt

so Δt = L*ΔI/V = 1.20 * (7.00 - 1.00)/11.00 = 0.65 sec

Answer:

1.4 m/s2

Explanation:

i took the test