HELP PLSSS I HAVE AN EXAM MONDAY AND I THINK THIS IS GONNA BE ON ITTTT
A fish is at the western bank of a river that is 64 m wide and has a current with a velocity of 0.90 m/s [S]. The fish swims directly across the river going due east. The fish can swim at a speed of 0.2 m/s.
a) How long does it take for the fish to get across the river
b) What is the resulting velocity of the fish
c) When the fish arrives on the opposite bank, how far is it from being at the point directly across from where it started?
The answers are here, please show work on how to get these
a) 3.2 x 10^2
b) 0.9 m/s (S 13 E)
c) 2.9 x 10^2
Answers
(a) 3.2 x 10²s
(b) 0.9 m/s (S 13 E)
(c) 2.9 x 10²m
Explanation:The sketch illustrating the scenario has been attached to this response.
As shown;
The fish swims due east with a velocity [tex]V_{x}[/tex] = 0.2m/s
The river current has a velocity [tex]V_{y}[/tex] due South = 0.9m/s
The resultant of the velocity is V
The width of the river is x = 64m
(a) To calculate how long it took the fish to get across the river, we know that velocity is the rate of change in distance, therefore we can use the relation;
V = [tex]\frac{d}{t}[/tex] -------------(i)
Where;
V = velocity of the fish = [tex]V_{x}[/tex] = 0.2m/s
d = distance from the start to the end = width of the river = x = 64m
t = time taken to move for that distance
Make t subject of the formula in equation (i);
t = [tex]\frac{d}{V}[/tex]
Substitute the values of d and V into the equation;
t = [tex]\frac{64m}{0.2m/s}[/tex]
t = 320 s
t = 3.20 x 10²s
Therefore, the time taken for the fish to get across the river is 3.20 x 10²s
(b) The resulting vector of the fish is V whose magnitude is the algebraic sum of vectors [tex]V_{x}[/tex] and [tex]V_{y}[/tex], and direction is given by θ. i.e
The magnitude of the resulting vector is;
|V| = [tex]\sqrt{(V_x)^2 + (V_y)^2}[/tex]
|V| = [tex]\sqrt{(0.2)^2 + (0.9)^2}[/tex]
|V| = [tex]\sqrt{(0.04) + (0.81)}[/tex]
|V| = [tex]\sqrt{(0.85)}[/tex]
|V| = 0.92m/s
|V| ≅ 0.9m/s
The direction of the resulting vector θ and is given by;
tan θ = [tex]\frac{V_y}{V_x}[/tex]
tan θ = [tex]\frac{0.9}{0.2}[/tex]
tan θ = 4.5
θ = tan⁻¹ ( 4.5)
θ = 77.47° South of East.
θ ≈ 77.5° South of East.
Subtracting θ = 77.5° from 90° gives its value East of South
i.e
90 - 77.5 = 12.5° East of South
This can also be written as S12.5°E
Approximating to the nearest whole number gives S 13 E
Therefore, the resulting velocity of the fish is 0.9m/s in the direction S13°E
(c) When the fish arrives on the opposite bank, its distance from being at the point directly across from where it started is the product of the velocity of the river current and the time taken by the fish to get across the river. This point is equivalent to k as shown in the diagram.
Therefore;
distance = velocity of river current x time taken
distance = 0.9m/s x 3.20 x 10²s
distance = 2.88 x 10²m
distance ≅ 2.9 x 10²m
Notice that the velocity of the river current is used since that's the velocity of the fish on the y-axis.
Related Questions
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Answers
Answer:
5
Explanation:
The light intensity may be defined as the strength of the light or the magnitude of its brightness that a source of light can produce.
The light threshold is the minimum intensity of the light that our eye can detect and the ability to adapt to darkness.
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The force of friction that is caused when using an inclined plane causes the mechanical advantage of the inclined plane to be less than that of the lever.
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Answers
Answer:
the answer is tree
Explanation:
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A small part of a current loop consisting of a very, very large triangular conductor in the x-y plane is shown below, with the current i=39.30 A.
12 10 4 2 1 0 1 2 3 4 5 6 7 8 9 10 11 12 x (cm)
Calculate the magnitude of the B-field at point 'p'.
Answers
Answer: hello your question is poorly written attached below is the well written question
answer: 4.9 * 10^-5 T
Explanation:
Current ( i ) = 39.30 A
Determine the magnitude of the B-field at Point P
Mag of B-field at Point P = μo*I / 2π*r --- ( 1 )
where : I = 39.30 , μo = 4π * 10^-7 , r = 8*10^(-2)
Input values into equation 1
( 10^-7 * 39.30 ) / ( 8*10^-2 )
∴ Mag of B-field = 4.9 * 10^-5 T
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Answer:
Water can spread germs through bacteria.
Explanation:
Bacteria can live in water and can spread to new locations when water is moved.
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answer:projectile motion
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Since gravity acts vertically, there is no acceleration in the horizontal (x) direction. This special type of two-dimensional motion is called projectile motion.
Answer:
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match the given circuit parts to their appropriate functions. write only the letter of the correct answer on your paper
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2.switch source like bulbs,computers.
3.wire b.it is a safety device made from materials
4.load that easily melt even before the wires
5.fuse carry too much current.
c.it is where electricity came from like
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d.it is the pathway of electricity from the
resources to the load .
e.it controls the flow of electricity from the
source. it is used to turn on/off a load.
Answers
Answer:
a. Load.
b. Fuse.
c. Source.
d. Wire.
e. Switch.
Explanation:
An electric circuit can be defined as an interconnection of electrical components which creates a path for the flow of electric charge (electrons) due to a driving voltage.
Generally, an electric circuit consists of electrical components such as resistors, capacitors, battery, transistors, switches, inductors, fuse, etc.
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Calculate the capacitance of a system that stores 9.4 x 10-10 C of charge at
Q
50.0 V. Use C=
AV
O A. 1.9 x 10-11 F
OB. 4.7 x 10-8 F
O C. 5.3 x 1010 F
O D. 2.1 x 107 F
Answers
Answer:
A. [tex]1.88\times 10^{-11}\,F[/tex].
Explanation:
By definition of Electric Capacitance, the capacitance of the system ([tex]C[/tex]), in farads, is described by the following formula:
[tex]C = \frac{q}{V}[/tex] (1)
Where:
[tex]q[/tex] - Electric charge, in coulombs.
[tex]V[/tex] - Voltage, in volts.
If we know that [tex]q = 9.4\times 10^{-10}\,C[/tex] and [tex]V = 50\,V[/tex], then the capacitance of the system is:
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Answer:
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Answers
Answer:
Explanation:
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4 = -k(-12) the 12 is negative because the mass hangs below the point of equilibrium. This gives us that
k = 1/3. Now we'll use that in the next equation where we need to solve for displacement:
6 = -1/3(Δx) and
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A. Perpendicular to the surface, pointing up
B. Perpendicular to the surface, pointing down
C. Along the surface, in the direction opposite to the motion
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For every action, there is an equal and opposite reaction
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answer fast in imp
Answers
Answer:
4E
Explanation:
From the question given above, the following data were obtained:
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Final energy (E₂) =?
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E = ½Ke²
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E => is the energy
K => is the spring constant
e => is the elongation
From:
E = ½Ke²
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E₁/e₁² = E₂/e₂²
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Final elongation (e₂) = 0.08 m
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Answers
Answer:
Explanation:
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Answer:
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Answer:
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Explanation:
Convection is the mechanism by which heat is transferred from the cube to the balloon. Convection is the movement of currents inside a liquid or gas that transfers heat energy.
What is Convection?Convection is a method of heat transfer in which a fluid or gas, such as air or water, is moved. A hotter liquid or gas loses density and rises, while a colder, denser liquid or gas replaces it by sinking. Convection is the term used to describe the movement of gases or liquids due to temperature differences.
When the cube is heated, the air around it becomes less dense and rises; On the contrary, the cold air from all around fills the space. As a result, heat energy is transferred from the cube to the balloons via convection currents.
Therefore, Convection is the mechanism by which heat is transferred from the cube to the balloon. Convection is the movement of currents inside a liquid or gas that transfers heat energy.
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Which of the following statements about
evaporation is FALSE?
a) Evaporation occurs at room
temperature only.
b) Evaporation requires heat energy
and causes cooling.
c) Evaporation occurs only at the
surface.
d) In evaporation the faster molecules
escape the liquid.
Answers
a) Evaporation occurs at room
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Answer:
Năng lượng tăng gấp đôi.
Explanation:
Như chúng ta biết
E = nhf
Năng lượng tỷ lệ thuận với f
Thay đổi về tần số sẽ tương đương với những thay đổi tương tự về Năng lượng
Nếu tần số trở thành hai lần, thì năng lượng sẽ trở thành 2 lần.
A proton is moving toward a stationary charged particle. Which statement correctly describes an energy change that could occur as the particles get closer?
Answers
Answer:
Kinetic energy will be converted into electric potential energy if the stationary particle is positive.
Loops spaced further apart create a stronger electromagnet. True or False
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Answer:
False
Explanation:
Electromagnetic strength is inversely proportional to separation distance
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Answer:
2. the volume of the square are the same
Answer:
the volume of the squares are the same
Explanation:
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Which golf ball would hit the surface with the greatest impact: a ball that fell one meter above the surface of the Earth or a ball that fell one meter above the surface of the Moon?
Answers
Answer:
the one above the surface of earth
Explanation:
earth has gravity the ball of the moon would float away
If the radius of the equipotential surface of the point charge is 14.3 m at a potential of 2.20 kV, what will be the magnitude of the point charge that generates the potential?
Answers
Answer:
The magnitude of the point charge is 3.496 x 10⁻⁶ C
Explanation:
Given;
radius of the surface, r = 14.3 m
magnitude of the potential, V = 2.2 kV = 2,200 V
The magnitude of the point charge is calculated as follows;
[tex]V = (\frac{1}{4\pi \epsilon _0} )(\frac{Q}{r} )\\\\V = \frac{KQ}{r} \\\\Q = \frac{Vr}{K} \\\\Q = \frac{2,200 \times 14.3}{9\times 10^9} \\\\Q = 3.496 \times 10^{-6} \ C\\\\Q = 3.496 \ \mu C[/tex]
Therefore, the magnitude of the point charge is 3.496 μC
a 60 kg runner accelerates during a race at 3m/s2. what force is exerted on the earth with each step
Answers
Answer:
180 Newton(N)
Explanation:
force =mass *acceleration
=60 * 3
=180 kgm/s^2
=180 N
Tính nhiệt lượng cần cung cấp để đun nóng 5kg nước từ nhiệt độ 25 độ C lên 100 độ C. Biết nhiệt dung riêng của nước là 4,18.10^3 J/kg.K
Answers
Answer:
Q = 7837500 Joules.
Explanation:
Cho các dữ liệu sau đây;
Khối lượng = 25 kg
Nhiệt độ ban đầu = 25°C
Nhiệt độ cuối cùng = 100°C
Nhiệt dung riêng = 4,18 * 10³ = 4180 J/kg.K
Để tìm nhiệt lượng cần thiết;
Về mặt toán học, nhiệt dung được cho bởi công thức;
[tex] Q = mcdt[/tex]
Ở đâu;
Q là nhiệt dung hoặc nhiệt lượng. m đại diện cho khối lượng của một vật. c biểu diễn nhiệt dung riêng của nước. dt thể hiện sự thay đổi của nhiệt độ.Chuyển đổi:
Nhiệt độ ban đầu = 25°C đến Kelvin = 273 + 25 = 298 K
Nhiệt độ cuối cùng = 100°C đến Kelvin = 273 + 100 = 373 K
dt = T2 - T1
dt = 373 - 298
dt = 75 Kelvin
Thay các giá trị vào phương trình, ta có;
[tex] Q = 25 *4180*75[/tex]
Q = 7837500 Joules.