Answer:
Theres a diagram missing for Q
Explanation:
What is all this?
Could you add a question so I can answer it :)
. The force of gravity on the Moon is said to be one-sixth of that on the Earth. What would a mass of 12 kg weigh; (a) on the Earth
A. The weight of the mass on the earth is 117.6 N
A. The weight of the mass on the moon is 19.56 N
How do i determine the weight of the mass?Weight is defined as follow:
Weight (W) = mass (m) × Acceleration due to gravity (g)
W = mg
Now we shall determine the weight. Details below:
A. Weight on earth
Mass (m) = 12 KgAcceleration due to gravity on earth (g) = 9.8 m/s² Weight on earth (W) =?Weight (W) = mass (m) × Acceleration due to gravity (g)
Weight (W) = 12 × 9.8
Weight on earth = 117.6 N
B. Weight on moon
Mass (m) = 12 KgAcceleration due to gravity on earth (g) = 9.8 m/s² Acceleration due to gravity on moon (g) = (1/6) × 9.8 = 1.63 m/s² Weight on moon (W) =?Weight (W) = mass (m) × Acceleration due to gravity (g)
Weight (W) = 12 × 1.63
Weight on moon = 19.56 N
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Complete question:
The force of gravity on the Moon is said to be one-sixth of that on the Earth. What would a mass of 12 kg weigh; (a) on the Earth (b) on the moon
From t=10.0 seconds to t=15.0 seconds, a space shuttle increased speed from 57 m/s to 99 m/s. What was the average acceleration of the shuttle
Answer:
a = 8.4 m / s²
Explanation:
The mean acceleration is defined by
a = (v_f- v₀) / (t_f - t₀)
where v are the final and initial velocities, respectively and t is the time interval
Let's apply this equation to our case
the final velocity is 99 m / s and the initial velocity is 57 m / s
a = (99 - 57) / (15 - 10)
a = 8.4 m / s²
PLEASE ANSWERRRRR
a) A microwave oven that draws 0.8 kWh is used for one hour. At a cost of 7.5 cents per kWh, what is the cost of the microwave’s electrical energy consumption?
b) What is the cost for the microwave if it is used one day for 20 min?
(c) What is the cost of using the microwave for 20 min a day for a month of 30 days?
a) The cost of using the microwave oven for one hour is 6 cents.
b) The cost of using the microwave oven for 20 minutes in a day is 2 cents.
c) The cost of using the microwave oven for 20 minutes a day for a month of 30 days is 59 cents.
a) The microwave oven draws 0.8 kWh of electricity for one hour. The cost of electricity per kWh is 7.5 cents. Therefore, the cost of using the microwave oven for one hour can be calculated as follows:
Cost = 0.8 kWh x $0.075/kWh = $0.06
b) If the microwave oven is used for 20 minutes in a day, the energy consumed can be calculated as follows:
Energy consumed = Power x Time
Power = Energy consumed / Time
We know that the microwave oven draws 0.8 kWh of electricity for one hour. Therefore, the power can be calculated as:
Power = 0.8 kWh / 1 hour = 0.8 kW
The time for which the microwave is used is 20 minutes, or 0.33 hours. Therefore, the energy consumed can be calculated as:
Energy consumed = Power x Time = 0.8 kW x 0.33 hours = 0.264 kWh
The cost of using 0.264 kWh of electricity can be calculated as:
Cost = 0.264 kWh x $0.075/kWh = $0.02
c) If the microwave oven is used for 20 minutes a day for a month of 30 days, the energy consumed can be calculated as:
Energy consumed = Power x Time x Number of days
Power = Energy consumed / Time
Using the same values of power and time as in part b, the energy consumed for 30 days can be calculated as:
Energy consumed = 0.8 kW x 0.33 hours x 30 days = 7.92 kWh
The cost of using 7.92 kWh of electricity can be calculated as:
Cost = 7.92 kWh x $0.075/kWh = $0.59
In summary, the cost of using a microwave oven for electrical energy consumption depends on the power rating of the oven and the cost of electricity per kWh. By calculating the energy consumed and multiplying it by the cost per kWh, one can determine the cost of using the microwave for a particular period of time.
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g If the momentum of an electron doubles, by what factor would its de Broglie wavelength be multiplied
Explanation:
The de broglie wavelength is given by :
\(\lambda=\dfrac{h}{p}\)
Here,
h is Planck's constant
p is momentum
Momentum and De-Broglie wavelength has inverse relationship. If momentum of an electron double, its wavelength gets half.
1. The kinetic energy of a 4,934 pound pickup truck going 55 mph is:
Provide your answer in kJ
2. A 4,992 lb car has a rolling resistance coefficient of 0.015. How much force, in lb, will it take to push this car at 30 mph?
3.The 2022 Hummer EV comes with a 212 kWh battery. How much will this battery weigh in lbs?
Answer:
1) 1256.02 kJ
2)76.20 lb
3)2336.30 lb
Explanation:
The kinetic energy of a 4,934 pound pickup truck going 55 mph is:
First, we need to convert the mass of the truck from pounds to kilograms:
4,934 lb = 2,236.17 kg
The kinetic energy is given by the formula: KE = 0.5 * m * v^2
where m is the mass of the object and v is the velocity.
Plugging in the values, we get:
KE = 0.5 * 2,236.17 kg * (55 mph)^2 = 1,256,024.47 J
Converting to kJ, we get:
KE = 1,256,024.47 J / 1000 = 1256.02 kJ
A 4,992 lb car has a rolling resistance coefficient of 0.015. How much force, in lb, will it take to push this car at 30 mph?
The force required to overcome rolling resistance is given by the formula:
F = Crr * W
where Crr is the rolling resistance coefficient and W is the weight of the car.
First, we need to convert the weight of the car from pounds to Newtons:
4,992 lb = 22,612.88 N
Plugging in the values, we get:
F = 0.015 * 22,612.88 N = 339.19 N
Converting to pounds, we get:
F = 339.19 N / 4.45 = 76.20 lb
The 2022 Hummer EV comes with a 212 kWh battery. How much will this battery weigh in lbs?
We cannot directly convert from kilowatt-hours to pounds, as they are two different units. However, we can use the energy density of the battery to estimate its weight.
Assuming an energy density of 200 Wh/kg for the battery, we can calculate the mass of the battery as:
212 kWh * 1000 Wh/kWh / 200 Wh/kg = 1060 kg
Converting to pounds, we get:
1060 kg * 2.205 lb/kg = 2336.30 lb
A 56-dB sound wave strikes an eardrum whose area is 5.0×10−5m2. The intensity of the reference level required to determine the sound level is 1.0×10−12W/m2. 1yr=3.156×107s.
a. How much energy is absorbed by the eardrum per second?
b. At this rate, how long would it take the eardrum to receive a total energy of 1.0 J ?
a ) The energy absorbed by the eardrum per second = 5 * \(10^{-12}\) W
b ) At this rate, it would take the eardrum 6341.96 years to receive a total energy of 1.0 J
P = I A
P = Power
I = Intensity
A = Surface area
β = 10 log I / Io
log I / Io = β / 10
I / Io = 10 ^ ( β / 10 )
I = Io * 10 ^ ( β / 10 )
A = 5 * \(10^{-5}\) m²
Io = 1 * \(10^{-12}\) W / m²
β = 50 dB
I = 1 * \(10^{-12}\) * 10 ^ ( 50 / 10 )
I = \(10^{-7}\) W / m²
P = 5 * \(10^{-5}\) * \(10^{-7}\)
P = 5 * \(10^{-12}\) W
P = W / t
W = Work done
t = Time
W = 1 J
t = W / P
t = 1 / 5 * \(10^{-12}\)
t = 0.2 * \(10^{12}\) s
t = 6341.96 years
Therefore,
a ) The energy absorbed by the eardrum per second = 5 * \(10^{-12}\) W
b ) At this rate, it would take the eardrum 6341.96 years to receive a total energy of 1.0 J
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vertical columns in the periodic table represent a group or family of elements that have the same number of valence electrons by having similar electron configurations elements in the same group have similar properties list elements that have similar properties
The examples of elements with similar properties in the same group are fluorine, chlorine, bromine and iodine.
What is group of elements in a periodic table?
The groups in periodic table is the same as vertical columns in the periodic table
These groups represent a group or family of elements that have the same number of valence electrons by having similar electron configurations elements in the same group have similar properties.
Examples of elements found in the same group with similar chemical properties include;
group 7 elements.
FluorineChlorineBromineIodineThe valence electron of elements found in the group 7 of periodic table is negative 1 (-1).
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A 3-m-diameter vertical cylindrical tank is filled with water to a depth of 11 m. The rest of the tank is filled with air at atmospheric pressure. What is the absolute pressure at the bottom of the tank
We have that the absolute pressure at the bottom of the tank is mathematically given as
Pabs=209.21Kpa
Absolute Pressure at the bottom of the tankQuestion Parameters:
A 3-m-diameter vertical cylindrical tank is filled
with water to a depth of 11 m.
Generally the equation for the Absolute Pressure is mathematically given as
Pabs=Patm+pgh
Therefore
Pabs=101.3e3+(1000*9.81*11)
Pabs=209.21Kpa
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What is the magnetic force on a proton that is moving at 3.8 x 10^7 m/s up through a magnetic field that is 0.72 T and pointing toward you?
Answer:
4.4 x 10^-12 N right
Explanation:
In hiking, what fitness component is required of you
A satellite orbiting Earth at an orbital radius r has a velocity v. Which represents the velocity if the satellite is moved to an orbital radius of 5r?(1 point)
The equation which represent the velocity, if the satellite is moved to an orbital radius of 5r is V = V/\(\sqrt\\5\).
What is Orbital velocity?Orbital velocity or orbital speed is the minimum velocity a body must maintain to stay in an orbit. Due to the inertia of a moving body, the body has the tendency to move on in a straight path.
It is given that the radius is 5r
To find out the equation which represent the velocity if the satellite is moved to an orbital radius of 5r.
Mathematically, the orbital velocity is calculated by the formula:
V = \(\sqrt{GM}\)/r
where, V = orbital velocity,
G = gravitational constant
M = mass of a satellite
r = radius
Substituting the value of r in this equation, we have:
V = \(\sqrt{GM}\)/r
V = 1/ \(\sqrt{5}\) × \(\sqrt{GM}\)/r
V = \(\sqrt{GM}\)/r
Therefore,
V = 1/ \(\sqrt{5}\) × V
V = V/\(\sqrt{5}\)
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Determine the resistance, in milliOhms, of a metal rod 2.39 m long, 0.47cm diameter and composed of aluminum of resistivity 2.8 x 10-8 Ωm .
0.965 mililΩ
ExplanationThe resistance of a metal rod depends on resistivy, length and temperature, it can fe found usign the formula
\(\begin{gathered} R=\rho\frac{L}{A} \\ where\rho\text{ is} \\ L\text{ is the length } \\ A\text{ is the seccion of area} \end{gathered}\)sp
Step 1
a) let
\(\begin{gathered} \rho=2.8*10^{-8}m\text{ ^^^^2126} \\ L=2.39\text{ m} \\ d=0.4\text{ cm=0.4 cm\lparen}\frac{1m}{100\text{ cm}}\text{\rparen=0.0047 m} \end{gathered}\)b) find the transversal area (A)
use the area of a circle
\(\begin{gathered} A=\pi r^2 \\ replace \\ A=\pi(0.0047\text{ m\rparen}^2 \\ A=6.93*10^{-5}m^2 \end{gathered}\)c) now, replace in the formula
\(\begin{gathered} R=\rho\frac{L}{A} \\ R=2.8*10^{-8}m\text{ ^^^^2126*}\frac{2.39\text{ m}}{6.93*10^{-5}m^2} \\ R=0.00096565\text{ ^^^^2126} \end{gathered}\)finally, to convert into milliOhms, Multiply by 1000
\(\begin{gathered} R=0.000965365*1000\text{ m^^^^2126} \\ R=0.965\text{ m^^^^2126} \end{gathered}\)therefore, the answer is
0.965 miliΩ
I hope this helps you
In a baseball game a foul ball was hit straight up with a speed if 30 m/s. Ignore air resistance.
a. How high did the ball go up?
b. How long was the ball in the air?
c. What happened to the answers in part “a” and “b” if the initial velocity was only 15 m/s?
initial position = ?
finial position = ?
initial velocity = ?
final velocity = ?
acceleration = ?
time = ?
Answer:
h=4+85*time - 1/2 32*time^2
16time^2-85*time-106=0
use the quadratic formula to solve for time (notice two solutions, one going up, one going back down).
time=(85+-sqrt(85^2+4*16*106) )/32
Explanation:
Recheck my work just in case I'm not good at this type of class but I wanted to help.
a. At maximum height h, the baseball has zero vertical velocity, so that with initial velocity v we have
\(0^2-v^2 = -2gh \implies h = \dfrac{v^2}{2g}\)
Given that \(v = 30 \frac{\rm m}{\rm s}\), the ball reaches a height of
\(h = \dfrac{\left(30\frac{\rm m}{\rm s}\right)^2}{2g} \approx \boxed{46\,\mathrm m}\)
b. At max height, the baseball's vertical velocity is such that
\(0=v-gt\)
For \(v = 30 \frac{\rm m}{\rm s}\), we find
\(gt=30\dfrac{\rm m}{\rm s} \implies t = \dfrac{30\frac{\rm m}{\rm s}}g \implies t \approx 3.1 s\)
which is half the time it spends in the air, making the total time about 6.1 s.
c. We saw in part (a) that
\(h = \dfrac{v^2}{2g}\)
If we halve the initial speed and replace \(v\) with \(\frac v2\), we get
\(h = \dfrac{\left(\frac v2\right)^2}{2g} = \dfrac14 \cdot \dfrac{v^2}{2g}\)
which means the max height is reduced by a factor of 1/4.
In part (b), we found the time to max height is
\(t = \dfrac{v}{g}\)
and halving the initial speed gives
\(t = \dfrac{\frac v2}g = \dfrac12 \cdot \dfrac{v}{g}\)
That is, the time to max height is reduced by a factor of 2 when the speed is halved, and so the overall time in the air is reduced by a factor of 2.
Sarah uses an inclined plant to load a chest into her truck. If she does 84 Joules of work, and the inclined plane is 3 meters long, how much force does
she expend?
252 N
O 87 N
O 81 N
O 28 N
Sarah uses an inclined plant to load a chest into her truck. If she does 84 Joules of work, and the inclined plane is 3 meters long, she expend the amount of force is (F)= 252N.
What is Force?
Force is a physical phenomena. When some mass is affected by the external phenomena and moved a distance that means the phenomena is called the force. It can be measured in Newton, Dyne.
How can we calculate the force?To calculate the amount of force we are using the formula here,
F= wd
Here we are given,
w= The work done by Sarah. = 84J
d= The distance of inclined plane.= 3m.
We have to calculate the amount force.= F N
Now we are going to put the values in above equation,
F= wd
Or, F= 84*3
Or, F=252N
Now we can say that, she expend the amount of force is (F)= 252N.
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A puffin accidentally drops a 0.3 kg fish from a height of 9 meters. What is the fish's GPE (in J) from this height?
Answer:
Therefore, the GPE of the fish from the given height is 26.19 J.
Explanation:
The gravitational potential energy (GPE) of an object at a height h is given by the formula:
GPE = mgh
where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object.
In this case, the mass of the fish is 0.3 kg, the height from which it was dropped is 9 meters, and the acceleration due to gravity on Earth is approximately 9.81 m/s². Thus, the GPE of the fish can be calculated as:
GPE = (0.3 kg) × (9.81 m/s²) × (9 m) = 26.19 J
Therefore, the GPE of the fish from the given height is 26.19 J.
I like puffins
When a piece of wood is put in a graduated cylinder containing water the level of water rises from 17.7cm cubic to 18.5cm cubic calculate the total volume of the piece of wood given that it's relative density is 0.60
The total volume of the piece of wood is 1.33\(cm^3\).
To calculate the total volume of the piece of wood, we can use the principle of displacement.
1. First, we need to find the difference in volume between the two water levels. The initial volume is 17.7 \(cm^3\), and the final volume is 18.5 cm^3. The difference is 18.5 \(cm^3\) - 17.7 \(cm^3\) = 0.8 \(cm^3\).
2. Now, we need to find the volume of water displaced by the piece of wood. Since the relative density of the wood is 0.60, it means that the wood is 0.60 times denser than water.
3. The volume of water displaced by the wood is equal to the difference in volume divided by the relative density of the wood. So, the volume of water displaced is 0.8 cm^3 / 0.60 = 1.33 \(cm^3\).
4. Finally, the total volume of the piece of wood is equal to the volume of water displaced. Therefore, the total volume of the piece of wood is 1.33 \(cm^3\).
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A marble rolls 269cm across the floor with a constant speed of in 44.1cm/s.
Answer:
what's the question ,so I can answer it right ?
if no action is taken to address the issues evaluate whether the impact of light pollution radio interference and space debris on the field of astronomy is lily to worsen lessen or remain the same during the next 50 years
If no action is taken to address the issues evaluate whether the impact of light pollution radio interference and space debris on the field of astronomy is then a. likely to worsen
Astronomers already have a serious problem with light pollution from cities and other sources, which makes it more challenging to detect dim objects in the night sky. Light pollution is predicted to get worse unless action is taken to stop it as urbanisation grows and more artificial lights are installed.
Astronomical observations can be affected by radio interference from telecommunications, and unless steps are taken to reduce the issue, the issue is only going to become worse as the number of radio-emitting devices rises. In addition, astronomers' instruments and spacecraft are increasingly in danger from space debris. The probability of collisions and other accidents is anticipated to rise as the amount of trash in space continues to rise.
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Complete Question:
If no action is taken to address the issues evaluate whether the impact of light pollution radio interference and space debris on the field of astronomy is then -
a. likely to worsen
b. lessen or remain the same during the next 50 years
How much force is required to accelerate a 800kg car by 15 m/s2
Answer:
force=12000
Explanation:
F=m*a aka force equals mass times acceleration so 800*15=12000
Answer:
12000 N
Explanation:
The equation for Force is:
\(Force=mass*acceleration\)
We can plug in the given values into the equation:
\(Force=800kg*15m/s^2\\Force=12000N\)
what is the Vector product of A=2.00i+3.00j+1.00k and B= 1.00i -3.00j -2,00k
The vector product of A=2.00i+3.00j+1.00k and B=1.00i-3.00j-2.00k is C=9.00i+4.00j-9.00k.
To find the vector product (also known as the cross product) of two vectors, A and B, we can use the following formula:
C = A × B
Where C is the resultant vector, A and B are the given vectors, and × denotes the cross product.
Given A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k, we can substitute these values into the formula to find the vector product:
C = (2.00i + 3.00j + 1.00k) × (1.00i - 3.00j - 2.00k)
Now, let's expand the cross product using the properties of vector products:
C = (2.00i × 1.00i) + (2.00i × -3.00j) + (2.00i × -2.00k) +
(3.00j × 1.00i) + (3.00j × -3.00j) + (3.00j × -2.00k) +
(1.00k × 1.00i) + (1.00k × -3.00j) + (1.00k × -2.00k)
Now, let's calculate each of these cross products:
C = (2.00 × 1.00) \(i^2\) + (2.00 × -3.00) i × j + (2.00 × -2.00) i × k +
(3.00 × 1.00) j × i + (3.00 × -3.00) \(j^2\) + (3.00 × -2.00) j × k +
(1.00 × 1.00) k × i + (1.00 × -3.00) k × j + (1.00 × -2.00) \(k^2\)
Since i × j = k, j × k = i, and k × i = j, we can simplify the expression further:
C = 2.00k - 6.00i + 4.00i - 9.00j + k - 3.00j - 2.00j - 2.00k
Combining like terms, we get:
C = (2.00i + 4.00i) + (-6.00i - 9.00j - 3.00j) + (2.00k + k - 2.00k)
Simplifying further:
C = 6.00i - 12.00j + k
Therefore, the vector product of A and B is C = 6.00i - 12.00j + k, which can be written as C = 9.00i + 4.00j - 9.00k in terms of i, j, and k.
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The vector product of A and B is -3i - 5j - 9k.
Explanation:The vector product, also known as the cross product, of two vectors A and B is denoted as A x B. It is a vector that is perpendicular to both A and B. To calculate the vector product, you can use the formula A x B = (Ay * Bz - Az * By)i + (Az * Bx - Ax * Bz)j + (Ax * By - Ay * Bx)k.
In this case, we have A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k. Substituting the values into the formula, we get A x B = (3 * -2 - 1 * -3)i + (1 * 1 - 2 * -2)j + (2 * -3 - 3 * 1)k = -3i - 5j - 9k.
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A figure skater glides along a circular path of radius 3.93 m. (a) If she coasts around one half of the circle, find the magnitude of the displacement vector. (b) If she coasts around one half of the circle, find what distance she skated. (c) What is the magnitude of the displacement if she skates all the way around the circle?
The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.
If she coasts around one half of the circle, we have to find the magnitude of the displacement vector. The figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, then her final and initial position is on the same point. Therefore, the magnitude of the displacement vector is zero. Distance Skated Distance refers to the length covered by an object or an individual. In this question, the figure skater is gliding along a circular path of radius 3.93 m. If she coasts around one half of the circle, we have to find what distance she skated. The distance covered by an object or individual is determined by the formula:Distance = Circumference/2Given that the radius of the circle is 3.93 m, then:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 m.Therefore, the distance covered by the figure skater around half of the circle = 24.7 m/2 = 12.35 m. Therefore, she skated 12.35 m.Magnitude of DisplacementIf the figure skater skates all the way around the circle, then she covers the entire circumference of the circle. Therefore, the magnitude of the displacement vector is the same as the circumference of the circle, which is given as:Circumference of the circle = 2πr= 2 × 3.14 × 3.93= 24.7 mTherefore, the magnitude of the displacement vector when the figure skater skates all the way around the circle is 24.7 m.For such more question on magnitude
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If the 100 g mass is replaced by a 200 g mass, which variables in Tnet = la change, and which
remains constant? Justify your answer.
The moment of inertia (I) will changes and net torque (Tnet) will also change, while the angular acceleration (a) remains constant.
What is the changed variable in the equation?The formula for net torque acting on an object is given as;
T(net) = Ia
where;
a is the angular accelerationI is the moment of inertiaT(net) is the net torqueThe moment of inertia of an object is given as;
I ∝ MR²
where;
M is the massR is the radius of the objectSo mass, M changes, the moment of inertia (I) changes and net torque will also change, while the angular acceleration remains constant.
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A car with a mass of 1200kg is traveling west at 25 m/s collides head on with highway barrier. The car comes to rest in 0.35 seconds . What is the magnitude of the force and the impulse applied to the car
The magnitude of the force and the impulse applied to the car are 85714 N and 30000 N-s respectively.
What is force?
The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
The magnitude of the force applied to the car = change in momentum/time interval
= (1200 kg × 25 m/s - 1200 kg×0)/0.35 second
= 85714 N.
The impulse applied to the car = change in momentum
= (1200 kg × 25 m/s - 1200 kg×0)
= 30000 N-s.
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A blue shark accelerates at a rate of 16m/s for a time of 0.8s. During this time it travels a
distance of 11.52m. Calculate its initial speed.
Answer:
The initial velocity of this shark is \(8.0\; \rm m \cdot s^{-1}\). (Assuming that the unit of the acceleration in this question is \(\rm m\cdot s^{-2}\).)
Explanation:
Let \(a\) denote the acceleration of this shark.
Let \(v_0\) denote the initial velocity of this shark.
Assume that the acceleration \(a\) of this shark is constant (as it is in this question.) Over a period of time \(t\), the shark would have travelled a distance of:
\(\displaystyle x = \frac{1}{2}\, a\, t^2 + v_0\, t\).
This question states that:
\(x = 11.52\; \rm m\), \(t = 0.8\; \rm s\). (That is: this shark travelled a distance of \(11.52\; \rm m\) in \(0.8\; \rm s\).)\(a = 16\; \rm m \cdot s^{-2}\) (the acceleration of this shark is indeed a constant.)This question is asking for \(v_0\), the initial velocity of this shark at the beginning of this \(0.8\)-second period. Substitute the three known values into the equation:
\(\displaystyle 11.52 = \frac{1}{2}\times 16\times (0.8)^2 + 0.8\, v_0\).
Solve for \(v_0\):
\(v_0 = \displaystyle \frac{11.52 - (1/2) \times 16 \times (0.8)^2}{0.8} = 8.0\; \rm m \cdot s^{-1}\).
817 cm3 at 80.8 kPa to 101.3 kPa: __________ cm3 (No temp. change)
The final volume of the gas, when the pressure changes from 80.8 kPa to 101.3 kPa at constant temperature, is approximately 652.9 cm³.
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
Boyle's Law can be represented by the equation: P₁V₁ = P₂V₂
Where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.
Given:
Initial volume, V₁ = 817 cm³
Initial pressure, P₁ = 80.8 kPa
Final pressure, P₂ = 101.3 kPa
We need to find the final volume, V₂.
Using Boyle's Law equation, we can rearrange it to solve for V₂:
V₂ = (P₁V₁) / P₂
Plugging in the given values:
V₂ = (80.8 kPa * 817 cm³) / 101.3 kPa
Simplifying the expression:
V₂ ≈ 652.9 cm³
Therefore, the final volume of the gas, when the pressure changes from 80.8 kPa to 101.3 kPa at constant temperature, is approximately 652.9 cm³.
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Two traveling sinusoidal waves are described by the wave functions
Y1 : 4.95sin[π(3.80x-1180t)]
Y2 : 4.95sin[π(3.80x-1180t-0.250)]
Where x , y1 and y2 are in meters and t is in seconds
The wave function of the resultant wave, Y1 + Y2 is Y = 4.95sin[π(3.80x - 1180t - 0.206)].
The wave function Y1 describes a sinusoidal wave with an amplitude of 4.95 meters, a wavelength of λ = 2π/3.8 ≈ 1.65 meters, and a frequency of f = 1180/3.8 ≈ 310 Hz. The phase of the wave is such that the maximum displacement occurs at x = 0 and t = 0, and the wave is moving in the negative x direction.
The wave function Y2 also describes a sinusoidal wave with the same amplitude and wavelength as Y1, but with a phase difference of 0.25 seconds. This means that Y2 is shifted to the left (negative x direction) by a distance of Δx = λΔφ/2π = λ(0.25)/2π ≈ 0.206 meters. The frequency and speed of Y2 are the same as Y1.
To determine the resultant wave Y, we add the two wave functions: Y = Y1 + Y2. Using the trigonometric identity sin(a + b) = sin(a)cos(b) + cos(a)sin(b), we can simplify the expression for Y:
Y = 4.95sin[π(3.80x - 1180t)] + 4.95sin[π(3.80x - 1180t)cos(0.25) + cos(π/2)sin(0.25)]
Y = 4.95sin[π(3.80x - 1180t)] + 4.95sin[π(3.80x - 1180t + 0.25)]
Y = 4.95sin[π(3.80x - 1180t - 0.206)]
The resultant wave Y is a sinusoidal wave with the same amplitude and wavelength as Y1 and Y2, but with a phase shift and a different waveform due to interference. The frequency and speed of Y are also the same as Y1 and Y2.
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-- The given question is incomplete, the complete question is
"Two traveling sinusoidal waves are described by the wave functions
Y1 : 4.95sin[π(3.80x-1180t)]
Y2 : 4.95sin[π(3.80x-1180t-0.250)]
Where x , y1 and y2 are in meters and t is in seconds. Find the wave function of the resultant wave (Y1 + Y2)." --
The force that holds planets, stars, and other heavenly bodies in space is called _____.
inertia
universal force
gravity
cosmic force
Answer:
Gravity
Explanation:
Assume that the body's muscle mechanism can be approximated by a spring with a uniform continuous mass distribution that follows Hooke's law. Concerning this,
A) find the effective mass of the spring with mass m.
Then, estimate the potential energy which can be mechanically stored in B) the muscles of each arm, and
C) the muscles of each leg,
and estimate the spring constant of
D) each arm muscles, and
E) each leg muscle.
F) Now, could estimate the speed of a runner by using these results?
Based on Hooke's law, the spring constant of the the body's muscle mechanism is the ratio of force to extension, the effective mass is m/3 and the potential energy that can be stored is ke^2 / 2.
What is the spring constant?The spring constant or stiffness constant of an elastic spring is constant which describes the extent a bit forceapplied to an elastic spring will extend it.
Spring constant, K = force/extensionAssuming, a body's muscle mechanism is a spring obeying Hooke's law, the effective mass of the spring with mass m is 1/3 of the mass of the spring = m/3
The potential energy that can be stored = ke^2 / 2
where K is spring constant and e is the extension produced.
Therefore, the spring constant of the the body's muscle mechanism is the ratio of force to extension, the effective mass is m/3 and the potential energy that can be stored is ke^2 / 2.
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Given the functions f(x)=(1/x-3)+1 and g(x) = (1/1+4)+3
Which statement describes the transformation of the graph of function f onto the graph of function g?
O The graph shifts 2 units right and 7 units down.
O The graph shifts 7 units left and 2 units up.
O
e graph shifts 7 units right and 2 units down.
O The graph shifts 2 units left and 7 units up.
The statement that describes the transformation of the graph of function f onto the graph of function g is: The graph shifts 2 units right and 7 units down.
To determine the transformation of the graph of function f onto the graph of function g, we compare the two functions f(x) and g(x) and observe the changes in the equations.
The function f(x) = (1/x - 3) + 1 represents a reciprocal function that is shifted vertically 1 unit up and horizontally 3 units to the right. The reciprocal function is reflected about the line y = x.
The function g(x) = (1/(1 + 4)) + 3 simplifies to g(x) = 4 + 3 = 7, which is a constant function representing a horizontal line at y = 7.
By comparing the equations, we can see that the transformation from f(x) to g(x) involves the following changes:
The term 1/x in f(x) is replaced by the constant 1/(1 + 4) in g(x), resulting in a vertical shift of 7 units up.
The term -3 in f(x) is replaced by 3 in g(x), resulting in a vertical shift of 3 units up.
The +1 in f(x) is replaced by +3 in g(x), resulting in an additional vertical shift of 2 units up.
Therefore, the overall transformation is a shift of 2 units to the right and 7 units down.
Hence, the correct statement is: The graph shifts 2 units right and 7 units down.
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HELPPP PLEASEEEE, BRAINLEST WILL BE GIVEN
Answer:
nice question but I don't know please forgive me
Answer:
Nice and very
Complicated question
Explanation:
I dont know