2.Find the magnitude and direction of the resultant velocity vector for the following perpendicular velocities: a. a fish swimming at 3.0 m/s relative to the water across a river that moves at 5.0 m/s b. a surfer traveling at 1.0 m/s relative to the water across a wave that is traveling at 6.0 m/s
Answer:
a. The magnitude of the resultant velocity vector of the fish is approximately 5.83 m/s
The direction of the resultant velocity vector of the fish is approximately 30.93° relative to the direction of the river
b. The magnitude of the resultant velocity vector of the surfer is approximately 6.083 m/s
The direction of the resultant velocity vector of the surfer is approximately 9.46° relative to the direction of the wave
Explanation:
a. The given parameters of the fish and the river are;
The speed with which the fish is swimming across the river, v₁ = 3.0 m/s
The velocity with which the river is flowing, v₂ = 5.0 m/s
Therefore, in vector form, we have;
v₁ = 3.0·j
v₂ = 5.0·i
The resultant velocity, R = v₁ + v₂ = 5.0·i + 3.0·j
∴ R = 5.0·i + 3.0·j
The magnitude of the resultant velocity vector, [tex]\left | R \right |[/tex] = √(5.0² + 3.0²) =√34 ≈ 5.83
The magnitude of the resultant velocity vector, of the fish, [tex]\left | R \right |[/tex] ≈ 5.83 m/s
The direction of the resultant velocity of the fish, θ = arctan(3.0/5.0) ≈ 30.93°
Therefore, The direction of the resultant velocity vector of the fish, θ ≈ 30.93° relative to the direction of the river
b. The given parameters of the surfer and the wave are;
The speed with which the surfer is travelling, v₁ = 1.0 m/s
The speed of the wave travelling across, v₂ = 6.0 m/s
Therefore, in vector form, we have;
v₁ = 1.0·j
v₂ = 6.0·i
The resultant velocity, R = v₁ + v₂ = 1.0·i + 6.0·j
∴ R = 1.0·i + 6.0·j
The magnitude of the resultant velocity of the surfer, [tex]\left | R \right |[/tex] = √(1.0² + 6.0²) =√37 ≈ 6.083
The magnitude of the resultant velocity vector of the surfer, [tex]\left | R \right |[/tex] ≈ 6.083 m/s
The direction of the resultant velocity of the surfer, θ = arctan(1.0/6.0) ≈ 9.46°
Therefore, The direction of the resultant velocity vector of the surfer, θ ≈ 9.46° relative to the direction of the wave
A 2.0 kg block is pulled across a horizontal surface by a 15 N force at a constant velocity. What is the force of friction acting on the block?
Answer:
The force of friction acting on the block has a magnitude of 15 N and acts opposite to the applied force.
Explanation:
Net Force
The Second Newton's law states that an object acquires acceleration when an unbalanced net force is applied to it.
The acceleration is proportional to the net force and inversely proportional to the mass of the object.
If the object has zero net force, it won't get accelerated and its velocity will remain constant.
The m=2 kg block is being pulled across a horizontal surface by a force of F=15 N and we are told the block moves at a constant velocity. This means the acceleration is zero and therefore the net force is also zero.
Since there is an external force applied to the box, it must have been balanced by the force of friction, thus the force of friction has the same magnitude acting opposite to the applied force.
The force of friction acting on the block has a magnitude of 15 N opposite to the applied force.
Why can you see an apple as green and not red?
Answer:
A lot of Dietary Fiber.
Explanation:
Answer:
Red apples get their color from anthocyanins. These are pigments, or natural colorings, that develop as the apple grows. ... It absorbs all the colors of the rainbow—except for red. The red light reflects off the apple and our brain and eyes work together to let us know what color we are seeing.
Will give brainliest!! Pls answer! HELP ME!!!!!!
Answer:
See the explanation.
Explanation:
Q9. Irregular reflection happens when a set of parallel beams are reflected from non-smooth surface which results in non-parallel reflected beams.
Q10.
i) Periscope
ii) There are different types of periscopes but the main characteristic of this instrument is observation over the obstacles or in general objects that are not in the line-of-sight. Basic Periscope uses parallel angled mirrors to project objects that are above the surface in submarines.
A cube has sides of length 10 cm and weighs 10 N.
Calculate the pressure when it rests on one side ....N/cm2
Answer:
P = r g h where r here is the density m / V and then P is the pressre.
W (weight) = m g
m = 10 N / 9.8 m / s^2 = 1.02 kg
r (density) = m / V = 1.02 kg / 1000 cm^3 = .00102 kg/cm^3
P = .00102 kg / cm3 * 9.8 m/s^2 * 10 cm
P = .1 kg m / (s^2 cm^2)
Since 1 N = kg m / s^2 then P = .1 N / cm^2
More simply P = F / A = 10 N / 100 cm^2 = .1 N / cm^2
What are two reasons that digital storage of data is so reliable?
O A. Digital data are easy to change.
B. Digital data can usually be recovered even if the storage device
stops working.
C. Copied data decrease in quality each time a copy is made.
D. Memory chips do not break easily.
Answer:
it will option C this is the correct answer of this question
Digital data can usually be recovered even if the storage device if it stops working and memory chips don't break easily. So, the correct options are B and D.
What is Digital storage?Digital storage of data is defined as the process that usually involves saving computer files or documents on magnetic storage devices, usually flash memory which may include hard drives, memory sticks or cards, optical discs , cloud storage, etc. are included.
Reliable storage ensures that which computer files or documents are easily accessible and can be recovered in the event of loss. Digital data can usually be recovered even if the storage device fails, as long as the memory chips are not easily breakable.
So, the correct options are B and D.
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By what process do electromagnetic waves release electrons from the
materials they contact?
O A. The photoelectric effect
O B. Absorption of electromagnetic waves
O C. Flow of electrons from negative to positive poles
O D. Reflection of electromagnetic waves
Answer:
A.) the photoelectric effect
Explanation:
Are the divisions of the electromagnetic spectrum distinct? Explain your answer
Answer:
No
Explanation:
Are the divisions of the electromagnetic spectrum distinct?
The answer is NO.
To explain my answer, there are some points to be noted
1.) There are no clear divisions between the different ranges or bands in the electromagnetic spectrum. The divisions are somewhat arbitrary
2.) The naming of subdivisions is also arbitrary. For instance, microwaves are sometimes regarded as a subdivision of radio waves
3.) The ranges of x-ray and gamma ray overlaps
can some one explain me big bang theory ?
Answer:
The Big Bang Theory is the leading explanation about how the universe began. At its simplest, it says the universe as we know it started with a small singularity, then inflated over the next 13.8 billion years to the cosmos that we know today.
a 2.00kg cart travelling north at 4.00m/s collides head on with a 1.00kg cart travelling south at 8.00m/s. what is the magnitude of the total momentum of the two carts after the collision
Answer:
16 kgm/s
Explanation:
Step one:
given data
m1= 2kg
v1= 4 m/s
m2= 1kg
v2= 8m/s
Required
The magnitude of momentum after impact pafter
Momentum is the product of a moving object's mass and velocity
Step two:
Pa= m1v1+m2v2
Pa=2*4+1*8
Pa=8+8
Pa=16 kgm/s
a chuck wagon with an initial velocity of 4 m/s and a mass of 35 kg gets a push with 350 joules of force. what is the wagon's final velocity?
Answer:
the final velocity of the wagon is 6 m/s.
Explanation:
Given;
initial velocity of the wagon, u = 4 m/s
mass of the wagon, m = 35 kg
energy applied to the wagon, E = 350 J
The final velocity of the wagon is calculated as;
E = ¹/₂m(v² - u²)
[tex]m(v^2-u^2) = 2E\\\\v^2-u^2 = \frac{2E}{m} \\\\v^2 = \frac{2E}{m} + u^2\\\\v = \sqrt{\frac{2E}{m} + u^2} \\\\v = \sqrt{\frac{2(350)}{35} + (4)^2}\\\\v = 6 \ m/s[/tex]
Therefore, the final velocity of the wagon is 6 m/s.
Given:
Wagon's initial velocity,
u = 4 m/sMass,
m = 35 kgApplied energy,
E = 350 JWe know,
→ [tex]E = \frac{1}{2} m(v^2-u^2)[/tex]
→ [tex]m(v^2-u^2) = 2E[/tex]
or,
→ [tex]v^2-u^2 = \frac{2E}{m}[/tex]
→ [tex]v= \sqrt{\frac{2E}{m} +u^2}[/tex]
By substituting the values,
[tex]= \sqrt{\frac{2(350)}{35}+(4)^2 }[/tex]
[tex]= 6 m/s[/tex]
Thus the answer above is correct.
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How much would a 25 kg suitcase weigh on the surface of…?
a. Mercury
b. Mars
c. Saturn
d. Pluto
Answer:
a) [tex]W_{Mercury}=92.5 N[/tex]
b) [tex]W_{Mars}=92.8 N[/tex]
c) [tex]W_{Saturn}=261.0 N[/tex]
d) [tex]W_{Pluto}=15.5 N[/tex]
Explanation:
First of all, we need to remember the value of gravity acceleration on each planet.
[tex]g_{Mer}=3.70 m/s^{2}[/tex]
[tex]g_{Mar}=3.71 m/s^{2}[/tex]
[tex]g_{Sat}=10.44 m/s^{2}[/tex]
[tex]g_{Plt}=0.62 m/s^{2}[/tex]
The definition of weigh is the product between the mass and the gravity acceleration, therefore we will have:
a) [tex]W_{Mercury}=25*3.70=92.5 N[/tex]
b) [tex]W_{Mars}=25*3.71=92.8 N[/tex]
c) [tex]W_{Saturn}=25*10.44=261.0 N[/tex]
d) [tex]W_{Pluto}=25*0.62=15.5 N[/tex]
I hope it helps you!
HURRY! I HAVE 5 MIN LEFT!!!Robert picks up a metal pan lid that was covering a pot of boiling water, and he drops it immediately. Cells in his fingers sent the message that his finger had touched heat.
The message carried is the nerve impulse, which is transmitted to nearby cells. What is the space where one neuron can transmit the impulse to another neuron called?
Answer:
synapse
Explanation:
The message carried is the nerve impulse, which is transmitted to nearby cells. The space where one neuron can transmit the impulse to another neuron is known as a Synapse.
What is Neuron?
Neurons, also known as neurons or nerve cells, are the basic building blocks of the nervous system and brain. They are the cells in charge of receiving sensory information from the outside world, trying to send motor commands to with us muscles, and converting and relaying electrical signals at each stage along the way.
However, their interactions also shape what we are as people. However, our about 3 trillion neurons do connect with some other cell types that are generally referred to as glia in a close manner.
Visualizing a cell as a tree is a helpful analogy. Three essential components of a neuron are dendrites, an axon, and a cell body, or soma, that can be compared to the branches, foundations, and core of a tree, correspondingly.
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in which medium does the speed of air is the greatest? explain why?
The speed of air greatest in a medium with high pressure. Air is moving from high pressure to low pressure areas called the winds.
What are winds?The natural movement of air or other gases in relation to a planet's surface is referred to as wind. There are many different sizes of winds, ranging from thunderstorm flows that last only a few minutes to local breezes.
Large-scale atmospheric circulation is primarily brought on by the planet's rotation and the difference in temperature between the equator and the poles (Coriolis effect).
The air can move through a medium as well through vacuum. Air blows with the highest speed when the medium have higher temperature and pressure.
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The purpose of a cell phone cover is to protect your phone from impact forces. How does a cell phone case do this?
Answer:
it covers your phone so when you drop it it reduces the chance and breaking
how temperature, surface tension and the diameter of the tube affect capillary action.
The surface tension acts to hold the surface intact. Capillary action occurs when the adhesion to the surface material is stronger than the cohesive forces between the water molecules. ... Water wants to stick to the glass and surface tension will push the water up, until the force of gravity prevents further rise.
Narrower tube openings allow capillary action to pull water higher
which rock is most likely phyllite
Answer/Explanation:
Phyllite is a very common metamorphic rock, found in many parts of the world. It forms when sedimentary rocks are buried and mildly altered by the heat and directed pressure of regional metamorphism.
Answer:
metamorphic rock
Explanation:
Phyllite is a very common metamorphic rock, found in many parts of the world. It forms when sedimentary rocks are buried and mildly altered by the heat and directed pressure of regional metamorphism.
A golf ball of mass m is hit by a golf club so that the ball leaves the tee with speed v. The club is in contact with the ball for time T. The average force of the club on the ball during the time T is:
Answer:
Explanation:
Given
Mass = m
Time = t
Force = mass × acceleration ..... 1
Where acceleration = velocity/time
Ave Force = m×∆v/∆t
= mv/t
A force of 90N is applied to each cart below, which one will accelerate the fastest?
Mass: 5 kg
Mass: 6 kg
mass: 8 kg
Mass: 9 kg
Answer:
5kg
Explanation:
The cart with the least amount of mass will result in the fastest acceleration.
The cart with the fastest acceleration is 5 kg cart because its mass is the smallest.
The given parameters;
applied force, F = 90 Nmass of cart: 5kg, 6kg, 8 kg, 9 kgAccording to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.
F = ma
The acceleration of the 5 kg cart is calculated as follows;
[tex]a = \frac{F}{m} \\\\a = \frac{90}{5} = 18 \ m/s^2[/tex]
The acceleration of the 6 kg cart is calculated as follows;
[tex]a = \frac{F}{m} \\\\a = \frac{90}{6} = 15 \ m/s^2[/tex]
The acceleration of the 8 kg cart is calculated as follows;
[tex]a = \frac{F}{m} \\\\a = \frac{90}{8} = 11.25 \ m/s^2[/tex]
The acceleration of the 9 kg cart is calculated as follows;
[tex]a = \frac{F}{m} \\\\a = \frac{90}{9} = 10 \ m/s^2[/tex]
Thus, the cart with the fastest acceleration is 5 kg cart because its mass is the smallest.
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Jennifer and katie stand and lean on each other. Jennifer weighs 150 pounds and katie weighs 120 pounds.
Answer:
Jennifer
Explanation:
she has more mass which means she is using more force
1. Which of the following best describes a neutral solid object that is charged by conduction?
The electrons in the neutral solid object relocate when a charged object is brought near.
The protons in the neutral solid object relocate when a charge object is brought near.
The electrons in the neutral object transfer onto a positively charged object.
The protons in the neutral object transfer onto a negatively charged object.
Answer:
C: The electrons in the neutral object transfer onto a positively charged object.
Explanation:
In conduction, when we charge one object with another, both of them will now have the same type of charge. Thus, in conduction, a positive object is used to charge a neutral object, then it means that both objects become charged positively charged. Electrons are positive charges.
Thus electrons in the neutral object are transferred onto a positively charged object and so option C is right.
Why would it be incorrect to say that the bulb supplies 60 J of light energy energy each second
Answer:
Explanation:
A 60W bulb , consumes electrical energy of 60 J per second but it does not give out all the energy in the form of light . Most of the energy consumed by it is wasted in the form of heat . Only a fraction of energy is converted into light energy .
Hence, it is wrong to say that bulb supplies 60 J of light energy each second .
What is a pure spectrum?
Answer:
a spectrum in which the dispersion is highly discriminative so that at each point the light is practically monochromatic.
A 60 kg swimmer suddenly dives from a 150 kg raft with a speed of 1.5 m/s. The raft is initially at
rest. What is the speed of the raft immediately after the diver jumps if the water has negligible
effect on the raft?
Answer:
v2 = 0.6 m/s in opposite direction
Explanation:
The computation of the speed of the raft is as follows
The center of system mass would be remains at the same place also it has no external force applied
Therefore
V = 0
So,
M1.V1= - (M2.V2)
where,
M1 = 60 kg, V1 = 1.5 m/s
M2 = 150 kg
Now
60 × 1.5 = - 150 × v2
v2 = -0.6 m/s
v2 = 0.6 m/s in opposite direction
a brown bear runs at the speed of 9.0m/s with 23,000 j of kinetic energy
Earth travels fastest in January and slowest in July. What is the most likely explanation for this?
A. Earth is nearest the Sun in July and farthest away in January.
B. Earth is nearest the Sun in January and farthest away in July.
C. Earth is nearest the Sun in April and farthest away in October.
D. Earth is nearest the Sun in October and farthest away in April.
Answer:
Earth is nearest the Sun in July and farthest away in July.
Explanation:
Answer:
Correct Answer: B.
Explanation:
Earth is nearest the Sun in January and farthest away in July. Explanation: According to Kepler's Second Law, a planet travels fastest when it is nearest its sun. This means that Earth is actually closest to the Sun in January, when it is winter in the northern hemisphere!
A hydrogen atom is isolated in a vacuum chamber, the electron is now separated from the proton and moved to a distance 1 cm away. Let Fg be the magnitude of the gravitational force between the proton and electron, and let Fe be the magnitude of the electric force between the proton and electron. How does the ratio Fg/Fe change as the particles are separated
Answer:
hello your question is incomplete attached below is the complete question
answer: Fg / Fe does not change ; it is the same nonzero value for all separations ( A )
Explanation:
Given that distance between proton and electron is 1 cm
Fg = Gm1m2 / r^2
where :
G ( gravitational constant )= 6.67 * 10^-11 Nm^2 / kg^2
m1 ( mass of proton ) = 1.67 * 10^-27 kg
m2 ( mass of electron ) = 9.11 * 10^-31 kg
Electrical force
Fe = kq1q2 / r^2
k = 9*10^9
hence ;
Fg / Fe = (Gm1m2 / r^2) / (kq1q2 / r^2 )
= Gm1m2 / kq1q2
The purpose of a cell phone cover is to protect your phone from impact forces. How does a cell phone case do this?
Answer:
the material of the phone case
The purpose of a cell phone cover is to protect your phone from impact forces. It is done by absorbing the impact of force by back cover.
What is Force ?
Force is responsible for the motion of an object. it produces acceleration in the body. According to newton's second law force is mass times acceleration i.e. F =ma. Its SI unit is N which is equivalent to kg.m/s².
The case is made in such a way that, if the cell phone is dropped, the cover will absorb the kinetic energy of the falling phone by the means of deforming without transferring the impact onto the phone.
Cell phone cover is made up of rubber which can restore the forces like a spring. when u apply force to the rubber it get displaced and applied force is stored in the rubber. when cell phone drops, rubber of the cover absorbs the energy of impact. it also provides shied protection to the phone.
Hence this is how cell phone case do this.
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QUESTION 2 DOK 3 A Thompson's gazelle has a maximum acceleration of 4.5 m/s2 At this acceleration, how much time is required for it to reach a speed of 40 km/h?
Answer:
2.47 s
Explanation:
Convert the final velocity to m/s.
40 km/h → 11.1111 m/sWe have the acceleration of the gazelle, 4.5 m/s².
We can assume the gazelle starts at an initial velocity of 0 m/s in order to determine how much time it requires to reach a final velocity of 11.1111 m/s.
We want to find the time t.
Find the constant acceleration equation that contains all four of these variables.
v = v₀ + atSubstitute the known values into the equation.
11.1111 = 0 + (4.5)t 11.1111 = 4.5t t = 2.469133333The Thompson's gazelle requires a time of 2.47 s to reach a speed of 40 km/h (11.1111 m/s).
At least ____________________ inches of free conductor, measured from the point in the box where it emerges from its raceway or cable sheath, must be left at each outlet, junction, or switch point for the connection of luminaires or devices.
Answer:
150mm
Explanation:
The correct answer to the given question is 150mm or 6 inch.
Atleast 150mm or 6 inches of a free conductor, measured from the point in box where it emerges from its cable sheath or raceway, must be left at each outlet, switch or junction point to lumination or connection of devices.
150mm of free conductor is required for the devices to be connected, this needs to be placed in the junctions