Answer:
a
[tex]u = 10.11 \ m/s[/tex]
b
[tex]x = 44.996 \ m[/tex]
Explanation:
From the question we are told that
The velocity of the river due east is [tex]v = 1.150i \ m /s[/tex]
The velocity of the boat due north is [tex]v_1 = 10j \ m/ s[/tex]
The width of the river is [tex]d = 300 \ m[/tex]
Generally the velocity of the boat relative to the shore
[tex]u = \sqrt{v^2 + v_1^2}[/tex]
=> [tex]u = \sqrt{1.50 ^2 + 10^2}[/tex]
=> [tex]u = 10.11 \ m/s[/tex]
Generally direction of the boat relative to the shore is mathematically represented as
[tex]tan \theta = \frac{v}{v_1}[/tex]
=> [tex]\theta = tan^{-1}[ \frac{v}{v_1}][/tex]
=> [tex]\theta = tan^{-1}[ \frac{1.5}{10}][/tex]
=> [tex]\theta = 8.53^o[/tex]
Generally the distance covered by the boat in the direction of flow of the river before reaching the north shore is mathematically represented as
[tex]x = d* tan(\theta )[/tex]
=> [tex]x = 300 * tan(8.53)[/tex]
=> [tex]x = 44.996 \ m[/tex]
(a) The velocity of the boat relative to the shore is 10.11 m/s.
(b) The distance traveled by the boat when it reaches the north shore is 303.3 m.
The given parameters;
initial velocity of the river, = 1.5 m/s due eastvelocity of the boat, = 10 m/s due north(a) The velocity of the boat relative to the shore is calculated by applying Pythagoras theorem as shown below;
[tex]v = \sqrt{1.5^2 + 10^2} \\\\v = 10 .11 \ m/s[/tex]
(b) Let the time taken for the boat to reach the north shore = t
[tex]distance = speed \times time \\\\c^2 = a^2 + b^2\\\\[/tex]
the width of the river is the height of the right-trianglethe displacement of the river after time "t" is the base of the right-trianglethe displacement of the boat after time "t" is the hypotenuse side[tex](10.11t)^2 = (300)^2 + (1.5t)^2\\\\102.21t^2 = 90,000 + 2.25t^2\\\\99.96t^2 = 90,000\\\\t^2 = \frac{90,000}{99.96} \\\\t^2 = 900\\\\t = \sqrt{900} \\\\t = 30 \ s[/tex]
The distance traveled by the boat when it reaches the north shore;
[tex]d = 10.11t\\\\d = 10.11 \times 30\\\\d = 303.3 \ m[/tex]
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As the mass of a body increases, its gravitational force of attraction to the Earth...
Answer:
the answer may be mass and distance
An object with mass 3.3 kg is executing simple harmonic motion, attached to a spring with spring constant 260 N/m . When the object is 0.017 m from its equilibrium position, it is moving with a speed of 0.40 m/s . Part A Calculate the amplitude of the motion. Express your answer to two significant figures and include the appropriate units.
Answer: the amplitude of the motion is 0.048 m
Explanation:
Given that;
mass m = 3.3 kg
spring constant k = 260 N/m
When the object is x = 0.017 m from its equilibrium position,
it is moving with a speed of v = 0.40 m/s
amplitude of the motion = ?
we know that;
formula for Potential of the string PE = 1/2kx²------1
Kinetic energy KE = 1/2mv² --------2
Now expression for the maximum potential energy of the spring is
PE_max = 1/2 kx²_max -----3
Now from conservation of Energy
PE_spring = PE + KE
from our equation 1, 2 and 3
1/2kx²_max = 1/2kx² + 1/2mv²
now we rearrange for x_max
x²_max = (1/2kx² + 1/2mv²) / 1/2k
x²_max = (kx² + mv²) / k
x_max = √ [(kx² + mv²) / k]
now we substitute our values into the equation
x_max = √ [(260(0.017)² + 3.3×(0.40)²) / 260]
= √((0.07514 + 0.528) / 260)
= √(0.60314 / 260)
= √ 0.002319
x_max = 0.048 m
Therefore the amplitude of the motion is 0.048 m
A 5.0-m-diameter merry-go-round is turning with a 3.7 s period. Part A What is the speed of a child on the rim
Answer:
Speed of a child on the rim is 4.25 m/s.
Explanation:
Given;
diameter of the merry-go-round, d = 5.0 m
period of the motion, t = 3.7 s
one complete rotation of the merry-go-round = πd
one complete rotation of the merry-go-round = π(5) = 15.71 m
Speed is given as distance / time
speed of a child on the rim = 15.71 / 3.7
speed of a child on the rim = 4.25 m/s
Therefore, speed of a child on the rim is 4.25 m/s.
A monatomic ideal gas with volume 0.230 L is rapidly compressed, so the process can be considered adiabatic. If the gas is initially at 1.01 105 Pa and 3.00 102 K and the final temperature is 489 K, find the work done by the gas on the environment, Wenv.
Answer:
The value is [tex]W = - 17.53 \ J[/tex]
Explanation:
From the question we are told that
The volume is [tex]V = 0.230 \ L = 0.230 *10^{-3} \ m^{-3}[/tex]
The initial pressure is [tex]P_1 = 1.01105 \ Pa[/tex]
The initial temperature is [tex]T_1 = 3.00*10^2 \ K[/tex]
The final temperature is [tex]T_2 = 489 \ K[/tex]
Generally for an adiabatic process the workdone is mathematically represented as
[tex]W = - \Delta U[/tex]
Here [tex]\Delta U[/tex] is the internal energy of the system which is mathematically represented as
[tex]\Delta U = \frac{3}{2} * nR \Delta T[/tex]
So
[tex]W = - \frac{3}{2} * nR \Delta T[/tex]
Generally from ideal gas equation we have that
[tex]n = \frac{P_1V }{ RT_1 }[/tex]
Here R is the gas constant with value [tex]R = 8.314 J/mol\cdot K[/tex]
So
[tex]n = \frac{1.01 *0^{5} * 0.230 *10^{-3}}{ 8.314 * 3.0*10^2 }[/tex]
=> [tex]n = 0.009313 \ mol[/tex]
So
[tex]W = - \frac{3}{2} * 0.009313 * 8.314 * (451 - 3.00*10^2)[/tex]
=> [tex]W = - 17.53 \ J[/tex]
what is the velocity of this graph between points b and c
Answer:
D.) 0 m/s
Explanation:
This is a position versus time graph. These graphs compare the position of an object versus the elapsed time. You can find the velocity of position vs. time graphs by determining the slope between the two points.
The formula used to find slope is:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "x₁" and "y₁" represent the values from one point, "x₂" and "y₂" represent the values from the second point, and "m" represents the slope.
If the first point, B, is at (1, 6) and the second point, C, is at (3, 6)...
6 - 6 = m(1 - 3) <----- Insert values from points
0 = m(-2) <----- Subtract
0 = m <----- Divide both sides by -2
In this case, the slope between point B and point C is 0. Thus, there is a constant velocity of 0 m/s between the points.
What causes the magnetic field around the wire?
Magnetic field
O A. An electric current
O B. An electric field
PREVIOUS
An electric current causes the magnetic field around the wire. The correct answer is A.
The magnetic field around a wire is caused by the flow of electric current through the wire. When an electric current passes through a wire, it generates a magnetic field that forms circular lines of magnetic flux around the wire. This phenomenon is described by Ampere's law, which states that a magnetic field is produced by an electric current and its strength is directly proportional to the magnitude of the current.
The relationship between the electric current and the magnetic field can be understood using the right-hand rule. If you wrap your right hand around the wire with your thumb pointing in the direction of the current, the curled fingers indicate the direction of the magnetic field lines.
Therefore, an electric field is generated by an electric charge, not by an electric current. While an electric field can exist around a wire if there is a potential difference (voltage) applied across it, it is the flow of electric current that primarily generates the magnetic field.
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Suppose you exert a force of 180 N tangential to a 0.280-m-radius, 75.0-kg grindstone (a solid disk). (a)What torque is exerted
Answer:
[tex]\tau = 50.4Nm\\[/tex]
Explanation:
Torque is expressed according to the formula;
[tex]\tau = Fr\\[/tex]
F is the force exerted
r is the radius
Given
F = 180N
r = 0.280m
Required
Torque
Substitute into the formula and get torque
[tex]\tau = 180 \times 0.280\\\tau = 50.4Nm\\[/tex]
Hence the torque exerted is 50.4Nm
Suppose you are told that acceleratioon A with of particle moving with uniform sleep v in a circle of radius R is proportional to same power of r(r) and same power of V. Determine the radius of A in and write the Simple form of equation for the acceleratioon
The equation for centripetal acceleration is:
[tex]A = \frac{V^{2} }{R}[/tex]
Centripetal acceleration is the rate at which a body moves through a circle. Due to the fact that velocity is a vector quantity (i.e., it has both a magnitude, the speed, and a direction), when a body travels in a circle, its direction is continually changing, which causes a change in velocity, which results in an acceleration.
The equation for centripetal acceleration is:
[tex]A = \frac{V^{2} }{R}[/tex]
therefore, the centripetal acceleration, denoted by the symbol A, has a magnitude equal to the square of the body's velocity along the curve divided by the radius of the circle, denoted by the symbol r. Units for centripetal acceleration are metres per second squared.
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Which statement best describes why specific heat capacity is often more useful than heat capacity for scientists when comparing two materials?
Answer:
Specific heat capacity is an intensive property and does not depend on sample size.
Explanation:
a 16-slug mass is raised by 10 ft. the PE of the mass increased by?
Answer:
The PE of the mass increased by 6,972.95 J
Explanation:
Gravitational Potential Energy
It's the energy stored in an object because of its vertical position or height in a gravitational field.
It can be calculated with the equation:
U=m.g.h
Where m is the mass of the object, h is the height with respect to a fixed reference, and g is the acceleration of gravity or 9.8 m/s^2.
We are given the mass of m=16 slug raised by a height h=10 ft. Both units will be converted to SI standard:
1 slug = 14.59 Kg, thus
16 slug = 16*14.59 Kg=233.44 Kg
1 ft = 0.3048 m, thus:
10 ft = 10*0.3048 m = 3.048 m
Thus, the PE of the mass increased by:
U = 233.44 * 9.8 * 3.048 = 6,972.95 J
the PE of the mass increased by 6,972.95 J
The potential energy will be "5120 ft.lb".
According to the question,
Mass,
m = 16 slugsHeight,
h = 10 ftAs we know the formula,
→ [tex]U = mgh[/tex]
By substituting the values, we get
→ [tex]= 16\times 32\times 10[/tex]
→ [tex]= 5120 \ ft.lb[/tex]
Thus the response above is correct.
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What fraction of an iceberg is submerged? (ρice = 917 kg/m3, ,ρsea = 1030 kg/m3.)
Answer:
Choice d. Approximately [tex]89\%[/tex] of the volume of this iceberg would be submerged.
Explanation:
Let [tex]V_\text{ice}[/tex] denote the total volume of this iceberg. Let [tex]V_\text{submerged}[/tex] denote the volume of the portion that is under the liquid.
The mass of that iceberg would be [tex]\rho_\text{ice} \cdot V_\text{ice}[/tex]. Let [tex]g[/tex] denote the gravitational field strength ([tex]g \approx 9.81\; \rm N \cdot kg^{-1}[/tex] near the surface of the earth.) The weight of that iceberg would be: [tex]\rho_\text{ice} \cdot V_\text{ice} \cdot g[/tex].
If the iceberg is going to be lifted out of the sea, it would take water with volume [tex]V_\text{submerged}[/tex] to fill the space that the iceberg has previously taken. The mass of that much sea water would be [tex]\rho_\text{sea} \cdot V_\text{submerged}[/tex].
Archimedes' Principle suggests that the weight of that much water will be exactly equal to the buoyancy on the iceberg. By Archimedes' Principle:
[tex]\text{buoyancy} = \rho_\text{sea} \cdot V_\text{submerged} \cdot g[/tex].
The buoyancy on the iceberg should balance the weight of this iceberg. In other words:
[tex]\underbrace{\rho_\text{ice} \cdot V_\text{ice} \cdot g}_\text{weight of iceberg} = \underbrace{\rho_\text{sea} \cdot V_\text{submerged} \cdot g}_\text{buoyancy on iceberg}[/tex].
Rearrange this equation to find the ratio between [tex]V_\text{submerged}[/tex] and [tex]V_\text{ice}[/tex]:
[tex]\begin{aligned} &\frac{V_\text{submerged}}{V_\text{ice}} \\&= \frac{\rho_\text{ice} \cdot g}{\rho_\text{sea} \cdot g}\\ &= \frac{\rho_\text{ice}}{\rho_\text{sea}}\ = \frac{917\; \rm kg \cdot m^{-3}}{1030\; \rm kg \cdot m^{-3}} \approx 0.89 \end{aligned}[/tex].
In other words, [tex]89\%[/tex] of the volume of this iceberg would have been submerged for buoyancy to balance the weight of this iceberg.
A daring squirrel runs toward a cat, then turns around to safety. A graph of its velocity over time is shown
below.
Answer:
it's 1.0
Explanation:
kahn academee
Which component of an atom contains the MAJORITY
of its mass?
Answer:
proton and neutrons
Explanation:
electron has negligible mass
Why does a stop sign appear red?
Answer:
because it’s suppose to be red like a stop light.
Explanation:
So it tells you to stop
In an oil drop experiment, a drop with a weight of 1.9 x 10-14 N was suspended when the potential difference between 2 plates that were 63 mm apart was 780 V. What was the charge on the drop?
Answer:
Study More You will get it :L
1. On a force vs. mass graph, what would be the slope of the line?
2. On a Free Body Diagram, if the forces are all balanced, what do you know about the
object? Can it be moving?
1. By Newton's second law,
F = m a
so the slope of the line would represent the mass of the object.
2. If all the forces are balanced, then the object is in equilibrium with zero net force, which in turn means the object is not accelerating. So the object is either motionless or moving at a constant speed.
you pick up a 3.8 kg can of paint from the ground a lift it to a height of 1.4 m. you hold the can stationary for half a minute, waiting for a friend on a ladder to take it. how much work do you do duting this time (when the can of paint is stationary)?
Answer:
No work
Explanation:
During the time of holding the can stationary, no work is being done by the person carrying the can.
The can is simply at rest.
Work is done when a force is applied to move a body through a certain distance.Work done = force x distance
In the instance given in this problem, only when the paint was lifted up is work done.
When the paint is stationary and being supported by the person, no work is done.
HELP PLEASE
When a magnet spins in a oil of wire it generates
A. Magnetism
B.convection
C. Radiation
D.electricity
Answer:
A, Magnetism
Explanation:
An ordinary electric generator produces electric power by spinning a strong magnet inside a set of wire coils. As the magnet spins, its magnetic field sweeps across the coils and gives rise to electric fields in those coils.
Hope this helps!!
1. Final position minus the initial position is called
Choose the correct answer
Answer:
1.(c) 7
2.(d) 900
3.(b) two
4.(c) 0.0007
5.(d)0.0004
Explanation:
(1) White light after reflection through prism splits into 7 colors.
(2) Arabs and Chinese knew about lenses in about 900 AD
(3) There are Two more colors in the spectrum which cannot be seen with naked eye.
(4) Wavelength of red light is 0.0007mm
(5) Wavelength of violet light is 0.0004mm
A cup of water plugged by a brown cork is insulated by a second styrofoam cup. A black rod and a thermometer are inserted through the cork into the water. The thermometer is A, the water is B, the outer cup is C. This part insulates the reaction chamber from the transfer of heat to or from the surrounding environment. This part contains a known amount of water, which is placed there before the experiment starts. This part is where the metal is placed at the beginning of the experiment. This part is used for measuring the initial and final temperatures of the water.
The part that insulates the reaction chamber from the transfer of heat to or from the surrounding environment is (C).
How to illustrate the information?It should be noted that the cup of water plugged by a brown cork is insulated by a second styrofoam cup.
In this case, the black rod and a thermometer are inserted through the cork into the water.
This part that contains a known amount of water, which is placed there before the experiment starts is (B).
This part is where the metal is placed at the beginning of the experiment is (B).
This part that is used for measuring the initial and final temperatures of the water is (A).
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Answer:
Explanation:
C
B
B
A
Edge 2022
Max observes a spaceship traveling toward him at 0.75c. He measures its length and finds that the spaceship is 250 m long. The ship brakes hard and skids to a stop on a nearby airstrip. Max remeasures the spaceship. What length does he find
Answer:
380m
Explanation:
We have the speed of the spaceship v = 0.75c
Max measures contracted length L of the spaceship as it travels
We have been given L = 250m
As this ship stops he is going to get exact length of the ship = Lol
We solve using this formula
L = Lo√ 1-v²/c²
From the formula above we make Lo subject of the formula
When we input values
Lo = 250/√1-(0.75c/c)²
= 250/√1-(0.75)²
= 250/√0.4375
= 250/0.6614
= 377.98
This is approximately 380
When a tennis ball is spun around in a circle on a string and the string breaks the tennis ball
will be pulled in a curved path away from the center because of Centrifugal force
True or false
Answer:
False
whenever the string breaks, the ball will follow the straight line tangential path
Explanation:
No, the ball will not follow a curved path after the string breaks. Since, the the direction of velocity is tangential to each point of the circular motion. Therefore, it changes at every point. This produces an acceleration in the circle called centripetal acceleration. There is also a tangential component of acceleration acting on the ball during this motion.
So, whenever the string breaks, the ball will follow the straight line tangential path. Hence, the given statement is false.
Starting with the definitions of momentum and kinetic energy, derive an equation for the kinetic energy of a particle expressed as a function of its momentum.
Answer:
[tex]K.E = (\frac{1}{2})Pv[/tex]
Explanation:
The momentum of a particle is defined as the product of its mass and velocity:
[tex]P = mv[/tex] -------------------- equation (1)
where,
P = momentum of the particle
m = mass of the particle
v = velocity of the particle
The kinetic energy of the particle is given as follows:
[tex]K.E = (\frac{1}{2})mv^2\\\\K.E = (\frac{1}{2})v(mv)[/tex]
using equation (1), we get:
[tex]K.E = (\frac{1}{2})Pv[/tex]
4. AN OBJECT INCREASES ITS VELOCITY
FROM 22 M/S TO 36 M/S IN 5 S. WHAT IS
THE ACCELERATION OF THE OBJECT?
ET
Answer:
it is accelerating 14 m/s
Explanation:
Answer: 14/5
Explanation:
The object changed its velocity from 22 m/s to 36 m/s which is an increase of 14 m/s
This occurred in 5 seconds so the acceleration is 14/5 = 2.8 m/s^2
A 125 g pendulum bob hung on a string of length 35 cm has the same period as when the bob is hung from a spring and caused to oscillate. What is the spring’s elastic constant?a) 3.5 N/mb) 5.2 N/mc) 1.9 N/md) 27 N/m
Answer:
k = 3.5 N/m
Explanation:
It is given that the time period the bob in pendulum is the same as its time period in spring mass system:
[tex]Time\ Period\ of\ Pendulum = Time\ Period\ of\ Spring-Mass\ System\\2\pi \sqrt{\frac{l}{g}} = 2\pi \sqrt{\frac{m}{k}[/tex]
[tex]\frac{l}{g} = \frac{m}{k}\\\\ k = g\frac{m}{l}[/tex]
where,
k = spring constant = ?
g = acceleration due to gravity = 9.81 m/s²
m = mass of bob = 125 g = 0.125 kg
l = length of pendulum = 35 cm = 0.35 m
Therefore,
[tex]k = (9.81\ m/s^2)(\frac{0.125\ kg}{0.35\ m})\\\\[/tex]
k = 3.5 N/m
cooking utensils are made up of metal
Explanation:
Cooking utensils are made of metal such as copper, aluminium, brass, steel etc., so that heat is easily conducted through the base to their contents. But they are provided with handles of bad conductors
The terms transverse or longitudinal are often used to describe the types of pulses. To what feature of a pulse do these terms refer:____________
Explanation:
Transverse pulse or waves are those in which elements of the pulse move perpendicular to the propagation of the pulse. Whereas, Longitudinal waves are those in which elements of the wave are in same direction as the propagation of the wave. For example Light is a transverse pulse whereas sound is a longitudinal wave.
What do you mean by pressure of a liquid? Write its Sl unit.
Answer:
Explanation:
The pressure of a liquid is the rate of the force applied by the liquid on a surface per unit area of the surface.
i.e P = [tex]\frac{F}{A}[/tex]
where P is the pressure, F is the force and A is the area.
The depth of the liquid determines its pressure at a definite lower point. As the pressure of a liquid at the bottom of a its container is greater than the pressure at the top of the liquid.
Thus,
P = σhg
where P is the pressure, σ is the density of the liquid, h is the height and g is the force of gravity.
It is measured in Pascals or N[tex]m^{-2}[/tex].
The pressure of liquid has a lot of applications, viz: siphon, force pump, lift pump etc.
Two magnets are placed near each other on a space station orbiting Earth.
Their north and south poles are facing each other. Which statement explains
what will happen to the magnets?
O A. They will be attracted because they are in each other's magnetic
field.
B. They will be repelled because they are in each other's gravitational
field.
O C. They will be attracted because they are in each other's electric
field.
O D. They will be repelled because they are in each other's magnetic
field.
Two magnets are placed near each other on a space station orbiting Earth and their north and south poles are facing each other then they will be attracted because they are in each other's magnetic field. The correct option is A.
What is a magnetic field?A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.
For a simple bar magnet, N-pole and S-pole are the points on a magnet that have the strongest magnetic field. The magnetic field originates from the north pole and terminates in the south pole of a magnet.
For two magnets placed in space with north and south poles are facing each other they will be attracted because they are in each other's magnetic field. Therefore the correct option is A.
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