Answer:
Vs/c = 20 [m/s]
Explanation:
This is a problem of relative velocities, as velocity is a vector we can use addition or subtraction of vectors for the solution.
We are asked for the velocity of the sailboat with respect to an observer located in the canoe.
[tex]V_{s/c}=V_{sailboat}-V_{canoe}\\V_{s/c}=15-(-5)\\V_{s/c}=20[m/s][/tex]
Why is the speed of the canoe negative?, it is negative because the canoe moves in the opposite direction to the sailboat.
You are interested in a new sports car that can go from 0 m/s to 120 m/s in 12 s. What is the acceleration of the car?
Formula
image
A.
0.1
m
s
2
B.
10
m
s
2
C.
60
m
s
2
D.
1440
m
s
2
Answer:
A
Explanation:
Option B) 10m/s² is the correct answer.
Hence, the acceleration of the new sports car in the given period of time is 10m/s².
What is Motion?Motion is simply the change in position of an object over time.
From the First Equation of Motion;
v = u + at
Where v is final velocity, u is initial velocity, a is acceleration and t is time elapsed.
Given the data in the question;
Initial velocity of the sport car u = 0m/sFinal velocity of the sport car v = 120m/sElapsed time t = 12sAcceleration of the sports car a = ?To determine the acceleration of the new sports car, we substitute our given values into the expression above.
v = u + at
120m/s = 0m/s + (a × 12s)
a × 12s = 120m/s - 0m/s
a × 12s = 120m/s
a = 120m/s ÷ 12s
a = 10m/s²
Option B) 10m/s² is the correct answer.
Hence, the acceleration of the new sports car in the given period of time is 10m/s².
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A wagon with a mass of 30kg is accelerated across a level surface at 2.4 m/s^2. What net forces acts on the wagon?
Answer:
72 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 30 × 2.4
We have the final answer as
72 NHope this helps you
A ping pong ball of mass 0.0027 kg and radius 0.020 m is completely submerged 0.3 m in water. How fast is it moving when it emerges from the water?
Answer:
The value speed is [tex]v = 8.192 \ m/s[/tex]
Explanation:
From the question we are told that
The mass of the ping pong ball is [tex]m = 0.0027 \ kg[/tex]
The radius is [tex]r = 0.020 \ m[/tex]
The depth of the ping pong inside the water is [tex]s = 0.3 \ m[/tex]
Gnerally the force with which the ball will emerge will from the water is mathematically represented as
[tex]F = B - m g[/tex]
Here B is the Buoyant force on the ball which is mathematically represented as
[tex]B = \rho_w * V_b * g[/tex]
Here [tex]V_b[/tex] is the volume of the ball which is mathematically represented as
[tex]V_b = \frac{4}{3} * \pi * r^3[/tex]
=> [tex]V_b = \frac{4}{3} * 3.142 * 0.020 ^3[/tex]
=> [tex]V_b = 3.35*10^{-5} \ m^3[/tex]
[tex]\rho_w[/tex] is the density of water with value [tex]\rho_w = 1000 \ kg/m^3[/tex]
So
[tex]B = 1000 * 3.35*10^{-5} * 9.8[/tex]
=> [tex]B = 0.3284 \ N[/tex]
So
[tex]F = 0.3284 - 0.0027 * 9.8[/tex]
=> [tex]F = 0.3284 - 0.02646[/tex]
=> [tex]F = 0.3020 \ N[/tex]
Generally force is mathematically represented as
[tex]F = m * a[/tex]
So
[tex]0.3020 = 0.0027 * a[/tex]
=> [tex]a = 111.84 \ m/s^2[/tex]
Generally from kinematic equation
[tex]v^2 = u^2 + 2as[/tex]
Here u is the velocity of the ping pong at depth of 0.3 m and the value is zero given that at that point there was no motion
So
[tex]v^2 = 0^2 + 2 * 111. 84 * 0.3[/tex]
=> [tex]v = 8.192 \ m/s[/tex]
Given f(x)=2x+7, which of the following is the value of x when f(x)=13?
Answer:
The value of x is 3
Explanation:
Equation Solving
We are given the equation
f(x) = 2x + 7
Let's find the value of such that f(x) = 13.
2x + 7 = 13
Subtracting 7:
2x = 13 - 7
2x = 6
Dividing by 2:
x = 6/2
x = 3
The value of x is 3
I
2800000 kg
Fig. 2.1
The total mass of the rocket and its full load of fuel is 2.8 106 kg. The constant force provided by
the rocket's motors is 3.2 x 107N.
32000000 N.
(a) Calculate
(i) the total weight of the rocket and the fuel.
weight =
Answer:
W = 27468000 [N] or 27.47 [kN]
Explanation:
The weight of a body is defined as the product of mass by gravitational acceleration.
[tex]W = m*g[/tex]
where:
W = weight of the rocket with fuel [kg]
m = mass = 2800000 [kg]
g = gravity acceleration = 9.81 [m/s²]
Now we can solve:
[tex]W = 2800000*9.81\\W = 27468000 [N][/tex]
Please help!!
A person is driving in a circle at 20m/s. Are they accelerating?
A 10.0kg object is moving at 1 m/s when a force is applied in the direction of the objects motion, causing it to speed up to 4 m/s. If the force was applied for 5s what is the magnitude of the force
Answer:
F = 6[N].
Explanation:
To solve this problem we must use the principle of conservation of linear momentum, which tells us that momentum is conserved before and after applying a force to a body. We must remember that the impulse can be calculated by means of the following equation.
[tex]P=m*v\\or\\P=F*t[/tex]
where:
P = impulse or lineal momentum [kg*m/s]
m = mass = 10 [kg]
v = velocity [m/s]
F = force [N]
t = time = 5 [s]
Now we must be clear that the final linear momentum must be equal to the original linear momentum plus the applied momentum. In this way we can deduce the following equation.
[tex](m_{1}*v_{1})+F*t=(m_{1}*v_{2})[/tex]
where:
m₁ = mass of the object = 10 [kg]
v₁ = velocity of the object before the impulse = 1 [m/s]
v₂ = velocity of the object after the impulse = 4 [m/s]
[tex](10*1)+F*5=10*4\\10+5*F=40\\5*F=40-10\\5*F=30\\F=6[N][/tex]
A horizontal force of 350 NN is exerted on a 2.0-kgkg ball as it rotates (at arm's length) uniformly in a horizontal circle of radius 0.90 mm. Part A Calculate the speed of the ball. Express your answer to two significant figures and include the appropriate units.
Answer:
The value is [tex]v = 12.6 \ m/s[/tex]
Explanation:
From the question we are told that
The horizontal force is [tex]F_h = 350\ N[/tex]
The mass of the ball is [tex]m = 2.0 \ kg[/tex]
The radius is [tex]r = 0.90 \ m[/tex]
Generally the speed of the ball is mathematically evaluated from the formula for centripetal force as
[tex]F_ h = \frac{mv^2}{ r }[/tex]
=> [tex]v = \sqrt{\frac{ F_h * r }{ m }}[/tex]
=> [tex]v = \sqrt{\frac{ 350 * 0.9 }{ 2 }}[/tex]
=> [tex]v = 12.6 \ m/s[/tex]
The US Patent and Trademark Office is responsible for protecting the intellectual property of inventors. A patent is granted if the idea is original and scientifically valid. A student creates a device that they claim will change the world by changing the way we understand energy. The student includes a table of energy measurements as part of his application.
Answer:
Deny the patent- the machine violates the law of conservation of mass
Explanation:
Took the test
A cross-country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward.
Complete question is;
A cross-country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward. What's the Magnitude and Direction?
Answer:
Magnitude = 14 m
Direction = eastward
Explanation:
The magnitude and direction of this cross-country skier will be the gotten from his displacement.
Now, from directions of 4 cardinal points, we can say that the eastward direction is on the positive x-axis and is positive while the westward direction is on the negative x-axis and is negative.
From those positive and negative signs above, we can represent the movement of the skier as;
moves 36 meters eastward = 36 m
moves 44meters westward = -44 m
Moves finally 22 meters eastward = 22
Thus, displacement will be:
36 - 44 + 22 = 14
It is positive, and thus, the magnitude is 14 and the direction is east ward.
What is the correct unit for the following measurement?
Jane wants to know how long her room is.
gm/cm3
liters (L)
cubic centimeters (cm3)
Celsius (°C)
grams (g)
meters (m)
If Jane wants to know how long her room is, the correct unit for the measurement is meters (m).
In the question, we are told that Jane wants to measure her room. This means that Jane wants to measure length. The only unit of length that is mentioned among the options is meters (m).
This means that, if Jane wants to know how long her room is, the correct unit for the measurement is meters (m).
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Answer: meters (m)
Explanation:
A torque acting on an object tends to produce..
Answer:rotation
Explanation:
1+1=?
FIRST ONE TO ANSWER GETS BRAINLIEST!
Answer:
Thx for points merry Christmas answer 2
Explanation:
Answer:2
Explanation:
what would the net force be on the box in the problems shown below.( both force and direction).
Answer:
4
Explanation:
The net force on the box a will be 20 N to the left and that on box b is 6 N downwards. The net force on box c is 90 N to the left and that on box d is zero.
What is net force?Force is an external agent acting on a body to change its motion or to deform it. The net force acting on a body depends on all the the forces with their magnitudes and directions.
If two same or different forces acts from the same direction they will add up and net force will be their sum. If they acts from the different directions, they will cancel each other in magnitudes.
In box a, the equal forces of 20 N opposes from each direction cancel and the net force will be 20 N to the left. I box b the 15 N cancel each other. Where the 4N and 2 N add up to have net force of 6 N downwards.
In box c, 10 N from opposite direction cancels and the 60 N and 30 N to the left add ups to have the net force of 90 N to the left. On box d, 5 N from opposite directions cancels as 12 N. Hence, net force is zero.
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The periodic table is an arrangment of the chemical elements, ordered by atomic number, into families, and by doing so illustrates the periodic properties of the elements. If we review the elements found in the second column of the periodic table, the alkali earth metals, we know one characteristic common to all elements in this family, besides being metals, is that they are
Answer:
Solid at room temperature
Explanation
Since these elements are metals they must be said at room temperature
Find the mass and weight of a body if a resultant force of 850 N causes its speed to increase from 6 m/s to 15 m/s in a time of 5s.
Hi! Let's see.
TOPIC: Mass and Weight.Explanation:
Data:
Force(F) = 850 NInitial Velocity([tex]\bold{V_{0}}[/tex]) = 6 m/sFinal Velocity([tex]\bold{V_{f}}[/tex]) = 15 m/sTime(t) = 5 sGravity(g) = 9.8 m/s²Mass(m) = ?Weight(w) = ?==================================================================
In order to calculate the mass, we must first find the acceleration.
to find the acceleration, we apply the acceleration formula in UARM:
[tex]\boxed{\boxed{\bold{a=\frac{V_{f}-V_{0}}{t}}}}[/tex]Replace per data:
[tex]\boxed{a=\frac{15\frac{m}{s}-6\frac{m}{s}}{5s}}}}[/tex]We subtract in the numerator:
[tex]\boxed{a=\frac{9\frac{m}{s}}{5s}}}[/tex]It divides:
[tex]\boxed{\bold{a=1.8\frac{m}{s^{2}}}}[/tex]==================================================================
Mass
Knowing it's acceleration, we can proceed to calculate the mass, applying it's formula:
[tex]\boxed{\boxed{\bold{m=\frac{F}{a}}}}[/tex]Replace:
[tex]\boxed{m=\frac{850N}{1.8\frac{m}{s^{2}}}}}}[/tex]Newton equivalents to kilograms:
[tex]\boxed{m=\frac{850kg*\frac{m}{s^{2}}}{1.8\frac{m}{s^{2}}}}}}[/tex]Simplify the m/s²:
[tex]\boxed{m=\frac{850kg}{1.8}}}[/tex]It divides:
[tex]\boxed{\bold{m=472.22\ kg}}[/tex]Answer: The mass of the body is 472.22 kilograms.
==================================================================
Weight
To calculate the weight, we use it's formula:
[tex]\boxed{\boxed{\bold{W=m*g}}}}}[/tex]Replace:
[tex]\boxed{W=472.22*9.8\frac{m}{s^{2}}}}}[/tex]It multiplies:
[tex]\boxed{\bold{W=4627.75\ N}}}}[/tex]Answer: The weight of the body is 4627.75 Newtons.
Final Answer:
Mass = 472.22 kg
Weight = 4627.75 N.
Cordially Alejanndraax. Greetings!
A train moving with a speed of 20.9 m/s sounds a 103 Hz horn. What frequency is heard by an observer standing near the tracks as the train approaches
Answer:
observed frequency = 109.68 Hz
Explanation:
given data
speed u = 20.9 m/s
frequency f = 103 Hz
solution
we consider here speed of sound (v) is 343 m/s
so observed frequency is express as
observed frequency = f × [tex]\frac{v}{v-u}[/tex] ...............1
put here value and we get
observed frequency = 103 × \frac{343}{343-20.9}
observed frequency = 109.68 Hz
One of two 25-year-old identical twins begins a trip on a spaceship traveling at 0.8 c while her twin remains on Earth. The twin on Earth tracks her twin's trip for 10 years. After ten years, what age is the twin on the spaceship according to the twin on Earth?
a. 41.7 years old.
b. 35 years old.
c. 31 years old.
d. 37.5 years old.
A tsunami, an ocean wave generated by an earthquake, propagates along the open ocean at 700 km/hr and has a wavelength of 750 km. What is the frequency of the waves in such a tsunami?A. 6.8 HzB. 0.93 HzC. 0.00026 HzD. 1.1 HzE. 0.15 Hz
Answer:
C) 0.00026 Hz
Explanation:
In any wave, there exists a fixed relationship between the speed v, the frequency f and the wavelength λ, as follows:[tex]v = \lambda * f (1)[/tex]
Replacing by the givens in (1), and solving for f, we get:[tex]f = \frac{v}{\lambda} = \frac{700km/hr}{750 km} = 0.93 1/hr (2)[/tex]
Converting the units to Hz (1/sec), we get:[tex]f = 0.93 \frac{1}{hr} *\frac{1 hr}{3600sec} = 2.6e-4 = 0.00026 Hz (2)[/tex]
The answer C. is the right one.The surface tension of the alcohol propanol in air has a value of 23.70 units
and the surface tension of water in air is 72.80 units. Which two statements
are true?
A. Propanol will have a flatter meniscus than water because the
forces between the molecules are smaller.
B. Propanol will have a higher boiling point than water because the
forces between the molecules are greater.
C. Propanol will have a more curved meniscus than water because
the forces between the molecules are greater.
D. Propanol will have a lower boiling point than water because the
forces between the molecules are smaller.
Answer:
A & D your welcome
Propanol surface is more flattered and has less boiling point than that of water.
To determine the correct statements among all the statements, we need to know about the surface tension.
What is surface tension?Surface tension is defined as force per unit length.More the surface tension, more the force between the molecules to keep the molecules together.What does happen, if molecules have more force of attraction?If the molecules have large force of attraction, more heat will be required to break the bonds between them. So the boiling point increases. Also with more force of attraction, the surface of the liquid becomes less flattered.Since, propanol has less surface tension than that of water, so its surface is more flattered and has less boiling point than that of water.
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Which is NOT a form of erosion?
a
Rivers moving dirt
b
Water running downhill, carving out the land and pushing dirt to the side
c
Water evaporating and condensing
d
Heavy winds blowing soil to other locations
HELP ASAP
Answer:
water evaporating and condensing, because that's the water cycle and it isnt eroding anything
A brick of mass 2.0kg is at rest. It falls to the ground through a
distance of 5.0 m. The acceleration of free fall g is 10 m/s2.
Air resistance can be ignored. At what speed does the brick hit
the ground?
Answer:
I may not have the answer so i'll just give up some hints.
Multiply the time by the acceleration due to gravity to find the velocity when the object hits the ground. If it takes 9.9 seconds for the object to hit the ground, its velocity is (1.01 s)*(9.8 m/s^2), or 9.9 m/s. Choose how long the object is falling. In this example, we will use the time of 8 seconds. Calculate the final free fall speed (just before hitting the ground) with the formula v = v₀ + gt = 0 + 9.80665 * 8 = 78.45 m/s . Find the free fall distance using the equation s = (1/2)gt² = 0.5 * 9.80665 * 8² = 313.8 m .h = 0.5 * 9.8 * (1.5)^2 = 11m. b. V = gt = 9.8 * 1.5 = 14.7m/s. A feather and brick dropped together. Air resistance causes the feather to fall more slowly. If a feather and a brick were dropped together in a vacuum—that is, an area from which all air has been removed—they would fall at the same rate, and hit the ground at the same time.When an object's point is taller the thing that is going down it will go faster than when the point is lower. EXAMPLE: The object is the tennis ball if you drop it down the higher hill it will be faster than if you drop it down a shorter hill. In other words, if two objects are the same size but one is heavier, the heavier one has greater density than the lighter object. Therefore, when both objects are dropped from the same height and at the same time, the heavier object should hit the ground before the lighter one.
I hope my little bit (big you may say) hint help you with your question.
The change of distance with respect to time is defined as speed. Speed is a scalar quantity. The speed of brick while hits the ground is 9.90 m/sec.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
m is the mass of block =2.0 Kg
u is the initial velocity of fall =0 m/sec
h is the distance of fall = 5.0 m
g is the acceleration of free fall =10m/sec²
v is the hitting velocity of brick=?
According to Newton's third equation of motion
[tex]\rm v^2=u^2+2gh\\\\ \rm v^2=2gh\\\\ \rm v= \sqrt{2gh}[/tex]
[tex]\rm v= \sqrt{2\times 9.81 \times 5.0} \\\\ \rm v=9.90\;m/sec[/tex]
Hence the speed of the brick while hits the ground is 9.90 m/sec.
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A gas cylinder holds 0.10 mol of O2 at 150 C and a pressure of 3.0 atm. The gas expands adiabatically until the pressure is halved
Part A
What is the final volume?
Part B
What is the final temperature?
Answer:
V2 = 1.899*10^-3 m^3
T2 = 347.125 K
Explanation:
Using gas law, we know that
PV = nRT,
Where
V1 = 0.00115743 m^3.
gamma = 1.4
Now, when we solve for final volume, V2 we get
V2 = V1/((P2/P1)^(1/gamma))
V2 = 1.899*10^-3 m^3
Using the same law and method, when we try to solve for the temperature, we find that the final temperature, T2 is
T2 = T1*((V1/V2)^(gamma-1))
T2 = 347.125 K
The final volume is 1.899*10^-3 m^3
And, the final temperature is 347.125 K
Gas law:here we used gas law,
we know that
PV = nRT,
Here
V1 = 0.00115743 m^3.
gamma = 1.4
Now final volume is
V2 = V1/((P2/P1)^(1/gamma))
V2 = 1.899*10^-3 m^3
Now the final temperature is
T2 = T1*((V1/V2)^(gamma-1))
T2 = 347.125 K
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A tennis ball moves 16 meters northward, then 22 meters southward, then 12 meters northward, and finally 32 meters southward.
For an n- channel JFFT, IDSS = 8 mA, and VP = - 6 V. If VGS = - 2 V. What is the value of the drain current ID?
Answer: the value of the drain current ID is 3.56 mA
Explanation:
Given that;
IDSS = 8 mA
VP(VGS_OFF) = - 6 V.
VGS = - 2 V
value of the drain current ID = ?
Drain current ID is expressed as;
ID = IDSS [ 1 - (VGS/VP(VGS_OFF)) ]²
we substitute our value
ID = 8 [ 1 - (-2 / -6) ]²
ID = 8 [ 1 - 0.3333 ]²
ID = 8 [ 0.6667 ]²
ID = 8 [ 0.4444 ]
ID = 3.5552 ≈ 3.56 mA
Therefore the value of the drain current ID is 3.56 mA
When an element ejects an alpha particle, the mass number of that element
A.reduce by 4.
B.remains unchanged.
C.increase by 1.
D. reduce by 1.
Answer:
A.reduce by 4.
Explanation:
In Chemistry, an alpha particle which is typically a helium nucleus has an atomic mass (number of nucleons) of four (4). Therefore, the ejection of an alpha particle by any chemical element simply means that, the mass number of that particular chemical element would be reduced by four (4).
Basically, this process is referred to as an alpha decay and can be defined as a radioactive disintegration of a chemical element that causes it to emit an alpha particle and as a result reducing its mass number by four (4).
Hence, when an element ejects an alpha particle, the mass number of that element reduces by 4.
An astronaut stands on the surface of an asteroid. The astronaut then jumps such that the astronaut is no longer in contact with the surface. The astronaut falls back down to the surface after a short time interval. Which of the following forces CANNOT be neglected when analyzing the motion of the astronaut?
Asteroids are known through the help of artificial gravity, to have small gravity. The forces that cannot be neglected when analyzing the motion of the astronaut is that the gravitational force between the astronaut and the asteroid.
The gravitational force between two objects is said to be inversely proportional to the distance between them when squared. Therefore, when an individual halve the distance then the force increases by four times.
Unbalanced forces are simply known to be brought about due to a change in motion, speed, and/or direction. If two forces act in the same direction on an object, the net force is said to be equal to the sum of the two forces.
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The compound formed from the elements calcium and chlorine is known as
Answer:
calcium chloride
Explanation:
an inorganic compound,a salt with the chemical formula CaCl2
At what angle in degrees is the first-order maximum for 460-nm wavelength blue light falling on double slits separated by 0.0500 mm?
Answer:
The angle is [tex]\theta = 0.52^o[/tex]
Explanation:
From the question we are told that
The number of order is n = 1
The wavelength is [tex]\lambda = 460 \ nm = 460 *10^{- 9} \ m[/tex]
The separation between the slit is [tex]d = 0.0500 \ mm = 5 *10^{-5} \ m[/tex]
Generally the condition for constructive interference is
[tex]d sin \theta = n * \lambda[/tex]
=> [tex]\theta = sin^{-1}[\frac{n * \lambda }{ d} ][/tex]
=> [tex]\theta = sin^{-1}[\frac{1 * 450 *10^{-9}}{ 5*10^{-5}} ][/tex]
=> [tex]\theta = sin^{-1}[0.009 ][/tex]
=> [tex]\theta = 0.52^o[/tex]
Help me please..
Suppose a car is moving in a straight line and steadily increases its
speed. It goes from 0 miles/hour to 15 miles/hour the first second and 15
miles/hour to 30 miles/hour the next second. What is the acceleration?
A)10 miles/hour/second
B) 15 miles/hour/second
C) 20 miles/hour/second
D)30 miles/hour/second