A boat is heading across a river at a velocity of 25 mph. The river is flowing downstream at 10 mph. What is the actual velocity of the boat?
The actual velocity of the boat is 26.6 mph, at an angle of 18.4° to a line drawn across the river.
Explanation:The actual velocity of the boat is the resultant velocity of the boat's velocity and the river's velocity. To find the actual velocity, we need to add the vectors representing the boat's velocity and the river's velocity. Since the boat is heading across the river, its velocity is perpendicular to the river's velocity. Using vector addition, we can find that the boat's actual velocity is 26.6 mph at an angle of 18.4° to a line drawn across the river.
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The actual velocity of the boat is determined by the vector sum of the boat's velocity and the flow of the river. This is calculated by finding the hypotenuse of a right angled triangle where one side is the velocity of the river and the other side is the velocity of the boat. The total velocity will be at an angle less than 45 degrees relative to the shore.
Explanation:To find the actual velocity of the boat, we need to consider both the boat's velocity and the river's downstream velocity. This is a concept known as relative velocity. In our case, the boat is trying to head straight across a river, similar to what is depicted in Figure 3.44. However, given the downstream flow of the river, the boat will actually move diagonally relative to the shore.
Since the river's current will affect the boat's movement, we will calculate the resultant velocity by using vector addition. In a coordinate system where the x-axis is parallel to the velocity of the river, and the y-axis is parallel to the velocity of the boat, the total velocity can be obtained via the Pythagorean theorem:
tot = √ ((25 mph)² + (10 mph)²)
Given that the speed of the river and the boat are not equal, the total velocity direction will be at an angle less than 45 degrees with respect to the shore or X-axis.
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What is the pressure of a 59.6-l gas sample containing 3.01 mol of gas at 44.9°c? (r = 0.0821 l • atm/(k • mol), 1 atm = 760 torr)?
Final answer:
The pressure of a 59.6-l gas sample containing 3.01 mol of gas at 44.9°C is approximately 1.31 atm or 995.6 torr, calculated using the ideal gas law equation.
Explanation:
To find the pressure of a gas sample, which contains 3.01 mol of a gas at a volume of 59.6 L and a temperature of 44.9°C, we can use the ideal gas law: PV = nRT. First, we need to convert the temperature to Kelvin by adding 273.15 to the Celsius temperature, giving us a temperature of 318.05 K. Using the given constant R = 0.0821 L • atm/(K • mol), we can rearrange the ideal gas law to solve for P (pressure).
The calculation is as follows:
P = (nRT) / V
P = (3.01 mol × 0.0821 L • atm/(K • mol) × 318.05 K) / 59.6 L
P ≈ 1.31 atm
Converting this to torr using the conversion 1 atm = 760 torr, we have:
P ≈ 1.31 atm × 760 torr/atm
P ≈ 995.6 torr
Wave C has an amplitude of 1 and wave D has an amplitude of 3 as shown below. What will happen when the trough of wave C meets the crest of wave D?
They will interfere to create a crest with an amplitude of 4.
They will interfere to create a crest with an amplitude of 2.
They will interfere to create a crest with an amplitude of 0.
They will bounce off each another.
Answer:
They will interfere to create a crest with an amplitude of 2.
Explanation:
The two waves will interfere and the resultant amplitude will be given by the principle of superposition, which states that the resultant amplitude is given by the sum (or the difference, if they meet in opposite phase) of the amplitudes of the two waves. In this case, the crest of wave C meets the through of wave D, so they are in opposite phase, therefore the resultant amplitude will be
A = A(C) - A(D) = 3 - 1 = 2
Which of the following materials has the highest tensile strength?
spider silk
copper
glass
plastic
Describe two ways that radio waves and gamma rays are alike and how they are different
An unknown substance is tested and found to have the following physical properties: brittle fair conductor of electricity dull (not shiny) The substance is most likely a _____. metal metalloid nonmetal cannot be determined without more data
Answer:
Metalloid
Explanation:
Metals are good conductors of electricity and are generally shiny.
Metalloids are the elements of the periodic table that have properties of both metals and non metals. They may be shiny or dull. They are brittle and are fair conductors of electricity.
Non metals are dull, do not conduct electricity and brittle.
Hence the substance is most likely a metalloid.
At 16, Juana is at an appropriate weight and likes to eat whatever she wants to.
What's the best strategy to ensure Juana's health?
Answer:
Regular exercise, play some sport, take healthy diet.
Explanation:
(1) She should walk one time in a day for like 30 minutes or more and will pay attention towards her diet to prevent further weight gain
(2) She can engage herself in aerobic exercises and start taking the food that is rich in nutrients and fiber
.
(3) She can play aerobic sport like soccer and can reduce her calorie intake to 1850 per day.
These are the best strategies she can adopt to ensure her heath.
Explain why liquids solidify when they are cooled.
Which statement about the greenhouse effect is NOT true?
A) The greenhouse effect keeps Earth from becoming too hot during the day.
B) The greenhouse effect causes the change in seasons.
C) The greenhouse effect keeps Earth from becoming too cold during the night.
D) The greenhouse effect makes it possible for organisms to live on Earth.
E) The greenhouse effect can be influenced by human activity.
Answer: D). The greenhouse effect makes it possible for organisms to live on Earth.
Explanation:
Greenhouse effect is a phenomena which depicts the fact that the heat energy from the earth does not reflect back to the space which has been obtain from the sun. This is caused by the greenhouse gases which traps the heat energy from sun making the atmosphere hot.
This results in fluctuations in climatic conditions. Responsible for melting of glaciers hence, the organisms which are adapted to survive in glaciers will not be able to survive in hot climatic conditions. Also the organisms living in the terrestrial regions cannot tolerate excess heat and will die.
18. What is the kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s? A. 6,000 J B. 5,880 J C. 2,940 J D. 12,000 J
Answer: 6,000 J
Explanation:
The force of gravity follows an inverse square law, meaning that the strength of the force declines with the square of the distance between two masses. but if the distances between pairs of objects are all the same, as in part a, then the strength of gravity depends only on
An elevator releases 10,000 j of gravitational potential en-ergy while descending 5 m between fl oors. how much does the elevator weigh?
The weight of the elevator is approximately 204.08 kg.
To calculate the weight of the elevator, we can use the formula for gravitational potential energy:
[tex]\[ PE = mgh \][/tex]
Given that the elevator releases [tex]\( 10,000 \)[/tex] J of gravitational potential energy while descending [tex]\( 5 \)[/tex] m between floors, we can rearrange the formula to solve for the mass [tex]\( m \)[/tex] of the elevator:
[tex]\[ m = \frac{PE}{gh} \][/tex]
Given:
[tex]\( PE = 10,000 \)[/tex] J (gravitational potential energy)
[tex]\( g = 9.8 \) m/s\(^2\)[/tex] (acceleration due to gravity)
[tex]\( h = 5 \)[/tex] m (height change)
Substituting the given values into the formula:
[tex]\[ m = \frac{10,000 \, \text{J}}{9.8 \, \text{m/s}^2 \times 5 \, \text{m}} \][/tex]
[tex]\[ m = \frac{10,000}{49} \, \text{kg} \][/tex]
[tex]\[ m \approx 204.08 \, \text{kg} \][/tex]
Therefore, the weight of the elevator is approximately [tex]\( 204.08 \)[/tex] kg.
Given 10,000 J of energy and a 5 m descent, the weight of the elevator is found to be 2000 N.
To determine the weight of the elevator, we can use the formula for gravitational potential energy, which is given by:
Gravitational Potential Energy (GPE) = mgh
where:
m is the mass of the elevator in kilograms
g is the acceleration due to gravity (approximately 9.8 m/s² on Earth)
h is the height in meters
We know that the change in gravitational potential energy is 10,000 J and the height difference is 5 m. Rearranging the formula to solve for the weight (mg), we get:
GPE = mgh
Weight = mg = GPE / h
Weight = 10,000 J / 5 m
Weight = 2000 N
Therefore, the elevator weighs 2000 Newtons.
Which example best represents an object with balanced forces acting upon it? A) A boat moving through the water. B) A book sitting on a high shelf. C) A wagon rolling down a steep hill. D) A baseball thrown thrown in the air.
An example that best represents an object with balanced forces acting upon it is a book sitting on a high shelf. Thus, the correct option for this question is B.
What do you mean by Force?Force may be defined as the process of pushing and pulling an object with an actual mass that stimulates its velocity to be changed. It is a type of vector quantity because it has both magnitude and direction.
It is the simple and fundamental concept of physics that when two or more objects are interacting with one another but do stimulate any change in their position.
The principle is applied in this question where a book is exerting pressure in a downward direction while a shelf is exerting pressure in an upward direction and resulting in an equal and opposite force.
Therefore, a book sitting on a high shelf is an example that represents an object with balanced forces acting upon it. Thus, the correct option for this question is B.
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What is the value of g on the surface of saturn? assume msaturn = 5.68×1026 kg and rsaturn = 5.82×107 m?
The value of gravity on the surface of Saturn can be calculated using the universal law of gravitation. Knowing Saturn's mass and radius, the calculation provides a result of around 10.44 m/s^2 for the acceleration due to gravity.
Explanation:
To determine the value of gravity (g) on the surface of Saturn, you would use the universal law of gravitation. This law states that the force of gravity between two objects is equal to the gravitational constant (G), multiplied by the product of their masses, and divided by the square of the distance between them. In the case of finding the acceleration due to gravity on the surface of a planet, we usually simplify this equation to: 'g = GM/r^2', where M is the mass of the planet and r is the radius.
The gravitational constant, G, equals 6.67 x 10^-11 N(m/kg)^2. Knowing the mass of Saturn (5.68 x 10^26 kg) and its radius (5.82 x 10^7 m), the equation becomes: 'g = (6.67 x 10^-11 N(m/kg)^2 x 5.68 x 10^26 kg) / (5.82 x 10^7 m)^2'. Solving this, we find that the acceleration due to gravity on the surface of Saturn (g) is approximately 10.44 m/s^2.
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You throw a ball downward from a window at a speed of 2.5 m/s. how fast will it be moving when it hits the sidewalk 2.1 m below?
When Edmund Halley visited Newton to ask him about orbits, what shape did Newton tell him orbits must have ?
in an experiment researchers want to determine if the _____ Variable causes change in _____ variable
a) dependent , independent
b) confounding, independent
c) independent, dependent
d) dependent, extraneous
Answer: c). independent, dependent
Explanation:
An independent variable can be define as the variable which can be changed in an experiment. It can be manipulated manually. The effect of such alteration and manipulation can be observed on the dependent variable.
The dependent variable is the one which changes due to the changes and alteration done by the experimenter on the independent variable.
When rubbed against a silk cloth, a glass rod loses electrons. How does this affect the charges of the glass rod and the silk cloth?
Answer: The glass rod becomes positively charged while the silk cloth becomes negatively charge
Explanation:
When you are rubbing the glass rod with a silk cloth,electrons escapes from the atoms of the glass rod, this the glass rod loses electrons and it is gained or accepted by the silk cloth,thus making the silk cloth negatively charged and the glass roof positively charged.
The net charges are equal and opposite charges on both materials.
Non metals are good conductors of heat and electricity true or false
How are the functions of the cytoskeleton and the cell wall similar
How far is Mercury from the Sun?
Of the eight planets, Mercury is the planet closest to the sun. It is about 36 million miles away from the sun. During the day it is extremely hot. During the night it is bitter cold because Mercury doesn't have any atmosphere to keep its heat from escaping.
Atmosphere - Layer of air.
Describe what occurs at a destructive boundary. Explain what folding is and give an example of a mountain region formed by folding. this is for earth science btw
_____ is the kinetic energy of an object, proportional to the object's moment of inertia and the square of its angular velocity.
Which type of environmental science career involves collecting information about how human events impact the environment?
a.Environmental journalistb.Environmental physicianc.Environmental engineerd.Environmental designer
Answer: Environmental engineer
Explanation:
Environmental engineering can be defined as the area where impact of human activities on environment takes place.
Human activities as mining, deforestation, building dams has huge impact on the environment.
This is studied under environmental engineering. This subject also allows to find solution for the problems associated with the impact of human activities on environment.
Based on the data you found, about how many of the 100 aliens would become thin if the temperature were 35°C?
Answer:Option D: More than 90
Explanation:Thickness probably depends on temperature. The higher the temperature, the more aliens we expect to be thin.
A solid object has a density of 0.75 g/mL, in which liquid(s) will it sink? SUPPORT your answer.
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Ow does the light-collecting area of an 8-meter telescope compare to that of a 2-meter telescope?
Use the facts below to answer the question: Who reaches One-Eyed Willie’s pirate ship first?
Support your answer with a calculation for each fact.
Fact 1: The Goonies travel 1000m south and then 1200m west to reach One-Eyed Willie’s pirate ship. (Hint: Orange on map) (Lesson 2.16)
Fact 2: Sloth travels the direct route from Goonies to One – Eyed Willie’s pirate ship. (Hint: Blue on map) (Lesson 2.16)
Fact 3: The Goonies start from rest and accelerate at 0.03 m/s2 until they reach the pirate ship. (Lesson 2.19)
Fact 4: Sloth travels at a constant speed of 3m/s. (Lesson 2.01)
If you get stuck with any of these facts, do what you can and also be sure to review the vocabulary and motion graphs!
During an exothermic process, _____. during an exothermic process, _____. no heat is exchanged between the system and the surroundings the system feels cold to the touch heat flows from the system to the surroundings heat flows from the surroundings to the system
Ava has just learned to tell her teacher how many markers are in the set by counting each one and saying the last number as the answer to “How many?” Ava is most likely ________ year(s) old.
Answer:
Explanation:
Ava is a child who probably got admission into the school and has learned to count.
Her age can be between 3-4 as in this age toddlers get admission or they start to learn to basic counting.
She is just counting the number of markers and as per her the answer of "how many" means the last number she has counted. She is probably too little.