A ferry is crossing a river. The ferry is
headed due north with a speed of 2.6 m/s
relative to the water and the river’s velocity
is 4.4 m/s to the east.
a) What is magnitude of the boat’s velocity relative to Earth?
Answer in units of m/s
b) Find the direction in which the ferry is
moving (measured from due east, with counterclockwise positive).
Answer in units of ◦
.
Answer:
a. 5.1 m/s b. 149.42°
Explanation:
a. Velocity of boat relative to earth, V = velocity of boat relative to river, V'+ velocity of river relative to earth, v.
We add these vectorially.
Since velocity of boat relative to river is 2.6 m/s due north and velocity of river relative to earth is 4.4 m/s due east, we apply Pythagoras' theorem and add them together since both velocities are perpendicular to each other.
So, V² = V'² + v² = (2.6 m/s)² + (4.4 m/s)² = 6.76 (m/s)² + 19.36 (m/s)² = 26.12 (m/s)²
V = √[26.12 (m/s)²]
V = 5.1 m/s
b. Since the relative velocities of the ferry relative to the water and the velocity of the river relative to the earth are the components of the velocity of the ferry relative to the earth, the y - component being the velocity of the ferry relative to the earth since it is due north, and the x- component being the velocity of the river relative to the earth since it is due east. So, we have that
tanФ = y - component/x - component = V'/v where Ф is the angle between V and the west direction.
tanФ = V'/v
tanФ = 2.6 m/s ÷ 4.4 m/s
tanФ = 0.5909
Ф = tan⁻¹(0.5909)
Ф = 30.58°
So, the angle measured from due east with counterclockwise direction positive is 180° - Ф = 180° - 30.58° = 149.42°
Please answer correctly.
helppp plzzz
Urgent!!!!
Answer:
Gamma rays are mostly used in the radiotherapy/ radiooncology to treat cancer. They can also be used to spot tumours. Gamma rays can kill living cells and damage malignant tumor
What is 18 m/s north an example of?
Answer:
It is an example of velocity
Explanation:
It is an example of velocity Don't ask how I know because I do know it I just don't know how to explain it.
Maddie and Juan's were given to task of trying to cook a s more using the Sun! They built this oven using a box and aluminum foil After setting up the device, they put four s'mores in the box. Ten minutes later the s'mores were hot and ready to eat. Describe the energy transtormation that took place in the students oven. 4) A radiant energy to heat energy B) radiant energy to light energy reflected energy to heat energy D) bght energy to mechanital energy
water come out more slowly from an upstairs tap from a similar downstairs
Answer:
As we know that liquid pressure is depend upon the depth of liquid where the downstair tap has more depth so water come out with more pressure wheres the upstairs tap has less depth so water come out with low pressure so
what is the definition of observation.
Answer:
Observation: The action or process of observing something or someone carefully or in order to gain information.
Explanation:
Can I have a Brainllest please :)
Answer:
Observation is the active acquisition of information from a primary source. In living beings, observation employs the senses. In science, observation can also involve the perception and recording of data via the use of scientific instruments. The term may also refer to any data collected during the scientific activity.
Explanation:
I just googled this. hope it helps!
What black hole is the most recent throughout the infinitive solar galaxy? 50 points!!! The first person to answer will be the Brainliest.
Answer:
Judging from the number of stars large enough to produce such black holes, however, scientists estimate that there are as many as ten million to a billion such black holes in the Milky Way alone.
Explanation:
You are doing chores to earn your allowance. For each chore you do, you earn $3. What is the independent variable?
A. The amount of allowance ($3)
B. The amount of chores you do
C. The amount of allowance and the amount of chores
Which statement explains how gravity and inertia work together?
They change the motion of objects.
They take turns working on objects.
They keep all objects moving at the same speed.
They prevent objects from moving in a circular motion.
Answer:
A: They change the motion of objects
Explanation:
Gravity force that attracts a body toward the center of the earth, or toward any other physical body having mass.
Inertia: is a property of matter by which it continues in its existing uniform motion in a straight line, unless that state is changed by an external force.
They change the motion of objects. This statement explains how gravity and inertia work together, Hence option A is correct.
What is Gravity ?Gravity is a basic interaction in physics that produces mutual attraction between all objects having mass or energy. By far the weakest of the four fundamental interactions, gravity is approximately 1038 times weaker than the strong interaction, 1036 times weaker than the electromagnetic force, and 1029 times weaker than the weak interaction. As a result, it has no effect at the level of subatomic particles. Gravity, on the other hand, is the most significant interaction between things on the macroscopic scale, determining the motion of planets, stars, galaxies, and even light.
Hence option A is correct.
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All interactions between the atmosphere and the geosphere involve
gases or particles in air and water
water and living things.
soil and gases or particles in the air
soil and living things
Answer:
The geosphere consists of the solid Earth and the atmosphere consists of the gaseous components in the air. Thus, the answer is C.
Explanation:
Answer:
C
Explanation:
How do liquids and gases transfer heat?
A.by radiation
B.by conduction
C.by air movement
D.by convection
Answer:
D.by convection
Explanation:
Liquids and gases primarily transfer heat through convection. The correct answer is option (D). which is convection.
Convection is the process of heat transfer through the movement of a fluid (liquid or gas). When a fluid is heated, its molecules become energized and move more rapidly, causing the fluid to expand and become less dense. The less dense, warmer fluid then rises while the cooler, denser fluid sinks.
In the case of liquids, this movement is often referred to as natural convection. In gases, convection can occur in two ways: natural convection and forced convection.
Natural convection occurs when the heated gas rises due to its decreased density, while the cooler gas descends. Forced convection involves the use of external forces, such as fans or pumps, to create airflow and enhance heat transfer.
Therefore, Liquids and gases primarily transfer heat through convection. The correct answer is option (D). which is convection.
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What is the density of a billiard ball that has a volume of 100 cm3 and a mass of 250 g?
Answer:
The answer is 2.50 g/cm³Explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\[/tex]
From the question
mass = 250 g
volume = 100 cm³
So we have
[tex]density = \frac{250}{100} = \frac{5}{2} \\ [/tex]
We have the final answer as
2.50 g/cm³Hope this helps you
all help is very much appreciated !
Answer:
Direct is the correct answer
In 1969 the Apollo astronauts left a laser reflector on the Moon. This was to be used to help scientists to make very accurate measurements of the distance between the Earth and the Moon. The mean distance between the centres of the Earth and Moon is 385 000 km, and light travels at 3 × 10⁸ m/s.
Answer:
I guess that you want to calculate the averae time that passes since you "fire" the laser, and you see the reflection.
We know that:
Distance = Time*Speed
Distance/speed = time.
In this case we have:
Distance = 385,000km
Speed = 3x10^8m/s
First, there are two corrections:
1) The distance to the moon is traveled two times, so the actual distance would be:
Distance = 2*385,000km = 770,000km
2) Both quantities should be written in the same units, so we can write the speed in kilometers:
We know that:
1km = 1000m
Then 3x10^8 m/s = (3x10^8/10^3) km/s = 3x10^(8 - 3) km/s = 3x10^5 km/s
Now we can solve the equation:
Time = 770,000km/(300,000 km/s) = 2.57 seconds.
The periodic table displays
A.
only the important compounds that exist in the world.
B.
only the important elements that exist in the world.
C.
all of the known elements that exist in the world today.
D.
all of the known compounds that exist in the world today.
Answer:
C
Explanation:
the periodic table of elements only consist of elements and all of the elements found in the world
RETAKE - A push or a pull that causes an object to change its motion is called!
:: inertia
:: a force
:: momentum
:: gravitational field force strength
:: mass
Answer: Force
Explanation: Force is defined as a push or pull acting on an object
Answer:
Force is defined as a push or pull acting on an object. Forces include gravity, friction, and applied force. Force causes changes in the speed or direction of motion. These changes are called acceleration.
Explanation:
PLZ HELP DUE IN 10MIN!!!!!!!!!The temperature of the water vapor (H2O) inside a pressure cooker increased from 295 K to 395 K. As
the sample is heated, the pressure of the water vapor went from 21.0 kPa to _____.
Answer:
p2=28.12KPa
Explanation:
Given data:
Initial temperature = 295 K
Final temperature= 395 K
Initial pressure = 21.0 KPa
Final pressure = ?
Solution:
According to Gay-Lussac Law,
The pressure of given amount of a gas is directly proportional to its temperature at constant volume and number of moles.
Mathematical relationship:
P₁/T₁ = P₂/T₂
Now we will put the values in formula:
21.0 KPa / 295 K = P₂/395 K
P₂ = 21.0 KPa× 395 K / 295 K
P₂ = 8295 KPa. K /295 K
P₂ = 28.12 KPa
A man’s mass is 100 pounds on Earth. His weight is 445N. What would change if this man were on the moon?
A) His mass
B) His weight
C) His weight and mass
D) Neither the mass or the weight
Answer: B) weight
Explanation: Your mass does not change on the moon
If two arm wrestlers exert a force on each other’s hands, and the hands don’t move, the forces must be *
balanced
unbalanced
weak
strong
Two brifks that weight 20 lbs fall off a building. Brick A falls from 30 feet
and Brick B falls from 10 feet. Which brick has more energy? *
Answer:
Brick A has more energy because its weight is more, that means that the gravitational pull to the earth will be more if the brick will fall from 30 feet.
1. A buoyant force of 790 N lifts a 214 kg sinking boat.What is the boat's
net acceleration?
Answer:
The net acceleration of the boat is approximately 6.12 m/s² downwards
Explanation:
The buoyant or lifting force applied to the boat = 790 N
The mass of the boat lifted by the buoyant force = 214 kg
The force applied to a body is defined as the product of the mass and the acceleration of the body. Therefore, the buoyant force, F, acting on the boat can be presented as follows;
Fₐ = F - W
The weight of the boat = 214 × 9.81 = 2099.34 N
Therefore;
Fₐ = 790 - 2099.34 = -1309.34 N
Fₐ = Mass of the boat × The acceleration of the boat
Given that the buoyant force, Fₐ, is the net force acting on the boat, we have;
F = Mass of the boat × The net acceleration of the boat
F = -1309.34 N = 214 kg × The net acceleration of the boat
∴ The net acceleration of the boat = -1309.34 N/(214 kg) ≈ -6.12 m/s²
The net acceleration of the boat ≈ 6.12 m/s² downwards
The boat's net acceleration is -6.12 m/s²
Given that:
Buoyant force = 790 N, mass (m) = 214 kg, acceleration due to gravity (g) = 9.81 m/s²
Net force = Buoyant force - mg = 790 - (214 * 9.81) = -1309.34 N
Net acceleration = Net force / mass
Net acceleration = -1309.34 N / 214 kg = -6.12 m/s²
The boat's net acceleration is -6.12 m/s²
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A car accelerates from rest to 27 m/s in 8 seconds. What is the acceleration of the car?
Answer:
The answer is 3.38 m/s²Explanation:
The acceleration of an object given it's velocity and time taken can be found by using the formula
[tex]a = \frac{v}{t} \\ [/tex]
where
a is the acceleration
v is the velocity
t is the time
From the question
v = 27 m/s
t = 8 s
We have
[tex]a = \frac{27}{8} \\ = 3.375[/tex]
We have the final answer as
3.38 m/s²Hope this helps you
What would the gravitational field strength be on a planet with twice Earth's mass
and twice its radius?
78.4 N/kg
39.2 N/kg
19.6 N/kg
9.8 N/kg
4.9 N/kg
Answer:
a = G M / R^2 acceleration due to gravity
aE /aP = (ME / RE^2) / (MP / RP^2) = (ME / MP) * (RP^2 / RE^2)
Since MP = 2 ME and RP = 2 RE
aE / aP = 1/2 * 2^2 = 2
So the gravitational field strength of the planet is 1/2 that of the earth or 4.9 N/kg
3.2 Section Review 1. What are the units of energy and what do they mean? 2. What is work in physics and what is the relationship between work and energy? 3. How can you increase an object’s potential or kinetic energy? 4. What happens to the kinetic and potential energy of a ball as it falls toward the ground? 5. Explain what it means to say energy is conserved.
Answer:
thanks
Explanation:
Which of the following is not a physical property ? A . The ability of a substance to dissolve in water. B . The ability of a substance to react with oxygen C . The ability of a substance to change directly into gas? D . The ability of a substance to melt at a specific temperature .
Answer:
b because to react with something makes it a chemical reaction
Explanation:
Which of the following would have the MOST thermal energy?( A 33 gram ice cube. O A 100 gram cup of coffee. O A 50 gram spoon sitting on the counter O A 500 gram pot of boiling water.
if a dice is thrown at random find the probability of getting 4
Answer:
☆<《HOPE IT WILL HELP YOU 》>☆
Explanation:
The probability of getting 4 is 1
Answer:
1/6
Explanation:
There are 6 faces, and one of them is 4. Therefore the answer is 1/6.
What is the east component of a vector 15 m 15.0 o N of E?
Answer:
14.49 N
Explanation:
East component (x component)
=15 m * cos 15°
=14.49N
Your car burns gasoline as you drive up a mountain road. What energy transformation is taking place?
Answer:
the chemical energy of the gasoline is converted into kinetic energy of the car.
Explanation:
Gasoline contains several chemicals like lubricants, anti-rust agents and anti-icing agents which are added to improve the performance of a car. The energy change taking place during the burning of gasoline is chemical energy to thermal energy.
What is gasoline?Gasoline is a pale brown or pink liquid which is made from the processed crude oil. It evaporates easily and is highly flammable and form explosive mixtures in air. It is a mixture of many hydrogen and carbon containing chemicals which are hydrocarbons.
A typical gasoline mixture contains about 150 different hydrocarbons, including butane, pentane, isopentane and the BTEX compounds like benzene, ethylbenzene, toluene and xylenes.
When a gasoline burns the chemical energy is converted into thermal energy and then this thermal energy is converted into mechanical energy. Gasoline burns and produce heat and this heat is converted into mechanical energy to move the car.
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Water is a powerful solvent because it is a polar molecule true or false
Answer:
True
Explanation:
