The magnetic field of the earth is produced in part by the flow of hot liquid iron near the earth's core.
What is a magnetic field?A magnetic field is defined as the field that is being created or produced by a magnetic material which permits the action of magnetic force.
The innermost part of the earth is made up of the earth core which is surrounded by an outer part.
The outer core of the earth is mostly made up of liquid iron and nickel.
Therefore, the magnetic field of the earth is produced in part by the flow of hot liquid iron near the earth's core.
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A golfer hits a golf ball horizontally off an elevator tee. The ball lands in the fairy’s at 280m away. The ball is hit with an initial velocity of 52.7m/s. What is the height above the fairway of the tee?
Answer:
H = Vy t - 1/2 g t^2 height after time t
H = g t^2 / 2 initial Vy = 0 and take down as positive
t = S / Vx = 280 / 52,7 = 5.31 sec time to travel horizontally
H = g / 2 * 5.31^2 = 138 m height of tee above fairway
A body travels a distance of 15m from A to B and then moves a distance of 20m at right angles to
AB. Calculate the total distance travelled and the displacement.
Total distance travelled is 35m and displacement is 25m.
Distance: Distance is a scalar that expresses the total distance traveled by an object. It's a measure of physical distance that's covered and always good. The distance has nothing to do with the direction, only the magnitude of the change is determined.
Displacement: Displacement is the vector of change in the position of an object. It takes into account the magnitude and direction of change in position from the starting point to the ending point. Perception can be positive, negative or zero depending on the direction of movement.
Total distance = 15m + 20m
Total distance = 35m
Displacement = \(\sqrt{15^{2} +20^{2} \\}\) (as both are perpendicular to each other)
Displacement = 25m
Therefore, Total distance is 35m and displacement is 25m.
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here did you walk? What did you find most enjoyable while walking: listening to music, listening to an audio book, or nothing? How did your body react to this introductory amount of exercise? Was it more exercise or less exercise than you are used to? If you did not walk, what other type of physical movement did you do?
the acceleration due to gravity on the moon is about 5.4ft/s2. if your weight is 150lbf on earth
... then your weight is 25.2 lbf on the moon.
The net force on a box F as a function of the vertical position y is shown below.
What is the work done on the box from y=0 to 6.0m?
The work done on the box from y=0 to 6.0m is 120 J.
To calculate the work done on the box from y=0 to 6.0m, we need to find the area under the force vs. position graph over that interval.
First, we can find the work done from 0 m to 2 m. Since the force is constant at 40 N over this interval, the work done is simply:
W = F * d = 40 N * 2 m = 80 J
From 2 m to 6 m, the force is constant at -20 N, so the work done is:
W = F * d = (-20) N * 4 m = -80 J
Note that the negative sign indicates that the work is done by the box on the force (since the force is in the opposite direction of the displacement).
Therefore, the total work done on the box from y=0 to 6.0m is:
W_total = 80 J - 80 J = 0 J
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A wave travels at 175 m/s along the x-axis.If the period of the periodic vibrations of the wave is 3.00 milliseconds,then what is the wavelength of the wave?
A) 25.5 cm
B) 35.6 cm
C) 42.9 cm
D) 49.5 cm
E) 52.5 cm
Answer:
E) 52.5 cmExplanation:
Step one:
given data
period T= 3 milliseconds= 0.003
velocity v= 175m/s
wave lenght λ=?
Step two:
we know that f=1/T
the expression relating period and wave lenght is
v=λ/T
λ=v*T
λ=175*0.002
λ=0.525m
to cm= 0.525*100
=52.5cm
The wavelength of the wave is E) 52.5 cm
A car travels along a straight road at a constant 72 km/h. Determine the car's distance after 5 minutes.
Answer:
6 km
Explanation:
Let's first reduce the time travelled from minutes to hours since the speed of the car is given in km/h:
5 minutes = 5 / 60 h = 1/12 h
Now use this value in the formula for distant in uniform motion:
Distance = speed * time
Distance = 72 km/h * 1/12 h = 6 km
A force of 200 N toward north is exerted on an object with a mass of
40.0 kilograms. What is the acceleration?
Taking into account the Newton's second law, the acceleration of the object is 5 m/s².
Newton's second lawNewton's second law states that this force will change the speed of an object because the speed and/or direction will change and these are called acceleration.
Newton's second law states that: "The acceleration of an object is directly proportional to the force acting on it and inversely proportional to the mass."
Mathematically, Newton's second law is expressed as:
F= m×a
where:
F = Force [N]m = Mass [kg]a = Acceleration [m/s²]Acceleration in this caseIn this case, you know:
F= 200 Nm= 40 kga= ?Replacing in the definition of Newton's second law:
200 N= 40 kg× a
Solving:
a= 200 N÷40 kg
a= 5 m/s²
Finally, the acceleration is 5 m/s².
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Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 166 cm , but its circumference is decreasing at a constant rate of 12.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 0.900 T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.
Answer:
plis plis pilis plis plis plis plis plis plis plis plks plis plis plis
what is effort arm
don't say the answer of gogle
Answer:
effort arm mean the use of any work by using your hand force motion or by hand power
A basketball is shot at 14.0 m/s at a 65.0 degree angle. What is the magnitude only (no direction) of the velocity of the ball 2.16 seconds later?
Answer:
10.4 m/s
Explanation:
I just know it's right!
When a reaction that occurs when a person experiences very strong emotion especially those associated with a perceived threat is called.
Answer:
The correct answer is - fight or flight response or reaction.
Explanation:
According to Cannon, the fight or flight reaction is a strong emotion experienced by a person especially people experiences associated with a perceived threat.
This reaction takes place in form of arousal in a perceived threat or stress conditions. It helps in maintaining the body environment in panic or stressed conditions.
When the dried-up seed pod of a scotch broom plant bursts open, it shoots out a seed with an initial velocity of 2.65 m/s
at an angle of 30.0 ∘ below the horizontal. The seed pod is 0.460 m
above the ground.
How long does it take for the seed to land?
t= ? sec
What horizontal distance does it cover during its flight?
x=? M
Answer:
To solve this problem, you'll need to break the initial velocity of the seed into its horizontal and vertical components, then use the equations of motion to find the time of flight and horizontal distance.
The initial velocity (v) of the seed is 2.65 m/s. The angle it's launched at (θ) is 30.0 degrees below the horizontal. The height (h) it's launched from is 0.460 m.
First, calculate the horizontal (v_x) and vertical (v_y) components of the velocity. Because the seed is launched downward, the vertical component will be negative:
v_x = v * cos(θ) = 2.65 m/s * cos(30.0) = 2.29 m/s
v_y = v * sin(θ) = -2.65 m/s * sin(30.0) = -1.325 m/s
Next, use the equation of motion to find the time it takes for the seed to hit the ground:
h = v_y * t + 0.5 * g * t^2
Where g is the acceleration due to gravity, which is approximately 9.8 m/s². Solving the equation for t gives:
t = (-v_y - sqrt((v_y)^2 - 4 * 0.5 * g * (-h))) / (2 * 0.5 * g)
Plugging in the values:
t = (1.325 + sqrt((-1.325)^2 - 4 * 0.5 * 9.8 * (-0.460))) / (2 * 0.5 * 9.8)
t = 0.182 seconds
Finally, use the horizontal velocity and time of flight to find the horizontal distance the seed covers:
x = v_x * t = 2.29 m/s * 0.182 s = 0.417 m
So, the seed lands after approximately 0.182 seconds and travels approximately 0.417 meters horizontally.
6.
least 2 m. If the same car is moving with the speed 80K/h,what is the minimum stopping distance?
A car moving with a speed of 40 km/h can be stopped by applying the brakes after at-
The minimum stopping distance of the car is determined as 8 m.
What is the minimum stopping distance?The minimum stopping distance of the car is calculated as follows;
d = (u²)/(2a)
where;
d is the minimum stopping distanceu is the initial velocitya is the acceleration of the carwhen the minimum stopping distance = 2 m, initial velocity = 40 km/hr = 11.11 m/s
2 = (11.11²)/(2a)
a = (11.11²)/(2 x 2)
a = 30.86 m/s²
when the speed becomes 80 km/h, the minimum stopping distance is calculated as;
u = 80 km/h = 22.22 m/s
d = (22.22² )/ (2 x 30.86)
d = 8 m
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CAN YOU HELP MEEEEEEEEEE PLEASEEEE
Answer:
What are your options? also i believe the answer may be ecosystem.
Explanation:
There are both biotic and abiotic factors in an ecosystem. Be cause living organisms Are Biotic. While water and rocks are abiotic which are needed to form an ecosystem.
A rigid, 26-L steam cooker is arranged with a pressure relief valve set to release vapor and maintain the pressure once the pressure inside the cooker reaches 150 kPa. Initially, this cooker is filled with water at 175 kPa with a quality of 10 percent. determine the exergy.
The minimum entropy change of the heat-supplying source is -0.87 kJ/K.
Initial entropy of the systemIn this case, given the initial conditions, we first use the 10-% quality to compute the initial entropy.
at initial pressure of 175 kPaS₁ = 1.485 + (0.1)(5.6865) = 2.0537 kJ/kg K
Final entropyThe entropy at the final state given the new 40-% quality:
pressure inside the cooker = 150 kPa
S₂ = 1.4337 + (0.4)(5.7894) = 3.7495 kJ/kg K
Mass of the steam at specific volumem₁ = 0.026/(0.001057 + 0.1 x 1.002643) = 0.257 kg
m₂ = 0.026/(0.001053 + 0.4 x 1.158347) = 0.056 kg
minimum entropy change of the heat-supplying sourceΔS + S₁ - S₂ + S₂m₂ - S₁m₁ - sfg(m₂ - m₁) > 0
ΔS + 2.0537 - 3.7495 + (3.7495 x 0.056) - (2.0537 x 0.257) - 5.6865( 0.056 - 0.257) > 0
ΔS > -0.87 kJ/K
Thus, the minimum entropy change of the heat-supplying source is -0.87 kJ/K.
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The complete question is below:
A rigid, 26-L steam cooker is arranged with a pressure relief valve set to release vapor and maintain the pressure once the pressure inside the cooker reaches 150 kPa. Initially, this cooker is filled with water at 175 kPa with a quality of 10 percent. determine the exergy.
Heat is now added until the quality inside the cooker is 40 percent. The water is stirred at the same time that it is being heated. Determine the minimum entropy change of the heat-supplying source if 100 kJ of work is done on the water as it is being heated. Use steam tables
Question 6(Multiple Choice Worth 2 points)
In order for work to take place
Answer:
C. the force applied must cause the movement of the object in the same direction as the force
Explanation:
looked it up
what would happen if both dogs pulled the rope with a force of 85 N?
the rope wouldnt move, the force of both dogs pulling us also called tension
A sharpshooter fires a rifle while standing with the butt of the gun against her shoulder. If the forward momentum of a bullet is the same as the backward momentum of the gun, why isn't it as dangerous to be hit by the gun as by the bullet? (Select all that apply.)
The butt distributes the recoil force over an area much larger than that of the bullet.
The rifle has a much lower speed than the bullet.
The rifle has a much smaller kinetic energy than the bullet.
The rifle has much less mass than the bullet.
The rifle has much more total momentum than the bullet.
It as dangerous to be hit by the gun as by the bullet because of the following;
(A) The butt distributes the recoil force over an area much larger than that of the bullet.
(B) The rifle has a much lower speed than the bullet.
What is principle of conservation of linear momentum?
The principle of conservation of linear momentum states that in an isolated system, the total momentum of the system is conserved.
That is the sum of the initial momentum is equal to the sum of the final momentum.
momentum of the gun = momentum of the bullet
Mu = mU
where;
M is mass of the gunu is the velocity of the gunm is mass of the bulletU is the velocity of the bulletIf the forward momentum of a bullet is the same as the backward momentum of the gun, the speed of the gun will be smaller than the speed of the bullet since the mass of the gun is bigger than mass of the bullet.
We cannot conclude on the kinetic energy, since it depends on both mass and velocity.
Finally, the butt distributes the recoil force over an area much larger than that of the bullet, since the butt has a larger surface area and will hit more surface area than the bullet.
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Which of the following is form of energy:
a) Power
b) Light
C) pressure
d) None
Answer:
Explanation:
b) light
simple but not plagiarized answer for "what is forces and motion?"
steps to approach this word problem
Note that the amplitude of the SHM after the collision is 0.275 m. This is solved using the conservation of momentum and conservation of energy principles.
What is the explanation for the above response?To solve this problem, we need to use the conservation of momentum and conservation of energy principles.
Before the collision, the velocity of block 1 is in the direction of the spring's length. Therefore, we can assume that block 1 does not affect the SHM of block 2.
Using conservation of momentum:
m1v1 + m2v2 = (m1 + m2)vf
where
m1 = 5.80 kg (mass of block 1)
v1 = 5.70 m/s (velocity of block 1)
m2 = 2.90 kg (mass of block 2)
v2 = Aω (velocity of block 2 in SHM)
vf = (m1v1 + m2v2)/(m1 + m2)
Substituting the values:
(5.80 kg)(5.70 m/s) + (2.90 kg)(Aω) = (5.80 kg + 2.90 kg)vf
Simplifying:
16.63 + 2.9Aω = 8.7vf
Using conservation of energy:
(1/2)kA^2 = (1/2)m2ω^2A^2
where
k = m2ω^2 (spring constant)
A = amplitude of SHM
Substituting the values:
(1/2)(2.90 kg)(2π/0.018 s)^2 A^2 = (1/2)(2.90 kg)(2π/0.018 s)^2 A^2
Simplifying:
kA^2 = m2ω^2A^2
k = m2ω^2
Substituting the values:
(2.90 kg)(2π/0.018 s)^2 = 1307.6 N/m
Now we can solve for A:
(1307.6 N/m)A^2 = (5.80 kg)(5.70 m/s)2 + (2.90 kg)(Aω)2
Substituting the values:
(1307.6 N/m)A^2 = 99.01 J + (2.90 kg)(0.01 m/s)2A^2
Simplifying:
(1307.6 N/m - 0.01 kg/s^2)A^2 = 99.01 J
A^2 = 0.0757 m^2
A = 0.275 m
Therefore, the amplitude of the SHM after the collision is 0.275 m.
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Which processes result in the release of carbon? Select three options.
Animals break down food molecules to obtain energy.
The remains of producers are broken down by decomposers.
The remains of consumers are broken down by soil decomposers.
Producers take in carbon dioxide.
Producers make sugars and starches.
Answer:
The remains of producers are broken down by decomposers.
The remains of consumers are broken down by soil decomposers.
Animals break down food molecules to obtain energy.
Explanation:
Answer:
It is A. B. and C.
Explanation:
Hope this helps
pls help need it last question on my test
The force that results in the decrease in speed from the midpoint to the end of the track is friction. The friction force slows down the vehicle because it acts in the opposite direction of the car's motion.
The force that would cause the Hot Wheels car to slow down from the midpoint of the track to the end of the track is friction between the car's wheels and the track.
Friction is a force that opposes motion between two surfaces in contact.
In this case, the wheels of the car and the surface of the track are in contact, and the friction force acts in the opposite direction of the car's motion, which slows it down.
As the Hot Wheels car travels down Track #2 during the Speed Lab activity, its initial velocity decreases due to friction.
Friction is a resistance force that opposes motion.
It is caused by the interaction between the surfaces in contact. In this case, the surface of the track and the wheels of the car are in contact.
When the car is moving, there is friction between the two surfaces.
The direction of the friction force is opposite to the direction of motion of the car.
This means that the friction force slows the car down.
In conclusion, the force that results in the decrease in speed from the midpoint to the end of the track is friction.
The friction force slows down the vehicle because it acts in the opposite direction of the car's motion.
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Can someone explain how to do the algebra for this question? I know everything else, I just don’t know how to rearrange the question to solve for v.
Answer:
Refer to the step-by-step Explanation.
Step-by-step Explanation:
Simplify the equation with given substitutions,
Given Equation:
\(mgh+(1/2)mv^2+(1/2)I \omega^2=(1/2)mv_{_{0}}^2+(1/2)I \omega_{_{0}}^2\)
Given Substitutions:
\(\omega=v/R\\\\ \omega_{_{0}}=v_{_{0}}/R\\\\\ I=(2/5)mR^2\)\(\hrulefill\)
Start by substituting in the appropriate values: \(mgh+(1/2)mv^2+(1/2)I \omega^2=(1/2)mv_{_{0}}^2+(1/2)I \omega_{_{0}}^2 \\\\\\\\\Longrightarrow mgh+(1/2)mv^2+(1/2)\bold{[(2/5)mR^2]} \bold{[v/R]}^2=(1/2)mv_{_{0}}^2+(1/2)\bold{[(2/5)mR^2]}\bold{[v_{_{0}}/R]}^2\)
Adjusting the equation so it easier to work with.\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2=\dfrac12mv_{_{0}}^2+\dfrac12\Big[\dfrac25mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\)
\(\hrulefill\)
Simplifying the left-hand side of the equation:
\(mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\)
Simplifying the third term.
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2} \Big[\dfrac{2}{5} mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{2}\cdot \dfrac{2}{5} \Big[mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v}{R} \Big]^2\)
\(\\ \boxed{\left\begin{array}{ccc}\text{\Underline{Power of a Fraction Rule:}}\\\\\Big(\dfrac{a}{b}\Big)^2=\dfrac{a^2}{b^2} \end{array}\right }\)
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2 \cdot\dfrac{v^2}{R^2} \Big]\)
"R²'s" cancel, we are left with:
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5}mv^2\)
We have like terms, combine them.
\(\Longrightarrow mgh+\dfrac{1}{2} mv^2+\dfrac{1}{5} \Big[mR^2\Big]\Big[\dfrac{v^2}{R^2} \Big]\\\\\\\\\Longrightarrow mgh+\dfrac{7}{10} mv^2\)
Each term has an "m" in common, factor it out.
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)\)
Now we have the following equation:
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)=\dfrac12mv_{_{0}}^2+\dfrac12\Big[\dfrac25mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\)
\(\hrulefill\)
Simplifying the right-hand side of the equation:
\(\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac12\cdot\dfrac25\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}}{R}\Big]^2\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\Big]\Big[\dfrac{v_{_{0}}^2}{R^2}\Big]\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15\Big[mR^2\cdot\dfrac{v_{_{0}}^2}{R^2}\Big]\\\\\\\\\Longrightarrow \dfrac12mv_{_{0}}^2+\dfrac15mv_{_{0}}^2\Big\\\\\\\\\)
\(\Longrightarrow \dfrac{7}{10}mv_{_{0}}^2\)
Now we have the equation:
\(\Longrightarrow m(gh+\dfrac{7}{10}v^2)=\dfrac{7}{10}mv_{_{0}}^2\)
\(\hrulefill\)
Now solving the equation for the variable "v":
\(m(gh+\dfrac{7}{10}v^2)=\dfrac{7}{10}mv_{_{0}}^2\)
Dividing each side by "m," this will cancel the "m" variable on each side.
\(\Longrightarrow gh+\dfrac{7}{10}v^2=\dfrac{7}{10}v_{_{0}}^2\)
Subtract the term "gh" from either side of the equation.
\(\Longrightarrow \dfrac{7}{10}v^2=\dfrac{7}{10}v_{_{0}}^2-gh\)
Multiply each side of the equation by "10/7."
\(\Longrightarrow v^2=\dfrac{10}{7}\cdot\dfrac{7}{10}v_{_{0}}^2-\dfrac{10}{7}gh\\\\\\\\\Longrightarrow v^2=v_{_{0}}^2-\dfrac{10}{7}gh\)
Now squaring both sides.
\(\Longrightarrow \boxed{\boxed{v=\sqrt{v_{_{0}}^2-\dfrac{10}{7}gh}}}\)
Thus, the simplified equation above matches the simplified equation that was given.
Aphids are a type of insects that sucks the sap out of certain types of plants, including potatoes. Not only do they physically damage and weaken the potato plants, but they can also infect them with diseases.
Which of the following examples shows a relationship that is most like that of the aphid and potato plants?
Answer Choices:
A. Crop plants must compete with weeds for available resources like nutrients, water, and space.
B. Anemones protect clownfish from predators while benefiting from nutrients in the waste of the fish.
C. The mistletoe plant attaches to trees and extracts nutrients for itself, which stunts tree growth.
D. Remora fish attach to sharks, eat scraps off the shark's prey, and remove parasites from the shark's skin.
A bug slides back and forth in a bowl 12 cm deep, starting from rest at the top, as shown in Fig. 7.20. The bowl is frictionless except for a 1.8-cm-wide sticky patch on its flat bottom, where the coefficient of friction is 0.83. How many times does the bug cross the sticky region?
The bug will cross the sticky region once in each cycle of its motion, where a cycle is defined as one complete round trip from the top of the bowl to the bottom and back to the top.
To find the number of cycles the bug goes through, we can use conservation of mechanical energy. At the top of the bowl, the bug has only potential energy, which is converted to kinetic energy as it slides down the bowl. At the bottom of the bowl, all of the potential energy has been converted to kinetic energy, and as the bug slides up the other side of the bowl, the kinetic energy is converted back into potential energy. At the top of the bowl again, the bug has only potential energy, and the cycle repeats.
Because there is no friction (except for the sticky patch), the total mechanical energy of the system is conserved. Therefore, the potential energy at the top of the bowl is equal to the potential energy at the bottom of the bowl, and the kinetic energy at the bottom of the bowl is equal to the kinetic energy at the top of the bowl.
We can set the potential energy at the top of the bowl to zero, and use the conservation of energy to find the potential energy at the bottom of the bowl:
mgh = (1/2)mv^2
where m is the mass of the bug, g is the acceleration due to gravity, h is the depth of the bowl, and v is the speed of the bug at the bottom of the bowl.
Solving for v, we get:
v = sqrt(2gh)
Plugging in the numbers, we get:
v = sqrt(29.810.12) = 0.775 m/s
The time it takes for the bug to slide from the top of the bowl to the bottom and back up to the top is twice the time it takes to slide from the top to the bottom:
t = 2sqrt(2h/g) = 2sqrt(2*0.12/9.81) = 0.774 s
Therefore, the frequency of the bug's motion is:
f = 1/t = 1/0.774 = 1.29 Hz
Since the bug completes one cycle in each oscillation, the bug will cross the sticky region 1.29 times per second, or approximately once every 0.78 seconds.
you made $100,000 this year. you have $0 in adjustments, $11,500 in deductions and $7,300 in exemptions. What is your taxable increase?
The tax rate you will pay is displayed in tax brackets for each category of taxable income.
Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.
Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.
As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.
Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.
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During a NASCAR race a car goes 50 m/s around a curved section of the track that has a radius of 250 m. What is the car's
acceleration?
Answer:10
Explanation: Acceleration of car is given by a= v^2/r, v= 50m/s, r= 250m a= 10 m/s^2 2
You decide to roll a 0.10 kg ball across the floor so slowly that it will have a small momentum and a large de Broglie wavelength. If you roll it at 1.4x1^-3 m/s, what is its wavelength? Express your answer to two significant figures and include the appropriate units. How will the answer from above compare with the de Broglie wavelength of the high-speed electron that strikes the back face of one of the early models of a TV screen at 1/10 the speed of light (2x10^-11 m) ?
ANSWER:
(a) 4.73*10^-30 m
(b) 2.37*10^-19 times smaller
STEP-BY-STEP EXPLANATION:
Given:
Mass of ball = m = 0.10 kg
Speed of ball = v = 1.4x10^-3 m/s
(a)
Since, de Broglie wavelength is given by:
\(\lambda=\frac{h}{mv}\)Where, h is the Plank's Constant ( h = 6.626x10^-34 kg m^2/s). Therefore, de Broglie wavelength of the ball will be:
\(\begin{gathered} \lambda=\frac{6.626\cdot10^{-34}}{0.10\cdot1.4\cdot10^{-3}} \\ \lambda_{\text{ball}}=4.73\cdot10^{-30} \end{gathered}\)(b)
\(\begin{gathered} \lambda_{electron}=2\cdot10^{-11} \\ \frac{\lambda_{\text{ball}}}{\lambda_{electron}}=\frac{4.73\cdot10^{-30}}{2\cdot10^{-11}} \\ \frac{\lambda_{\text{ball}}}{\lambda_{electron}}=2.37\cdot10^{-19} \end{gathered}\)It means that the wavelength of the ball is 2.37*10^-19 times smaller