The time takes by the stone takes to reach the ground is 2 sec.
Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.
Calculation:-
S = ut + 1/2 at²
156.8 = 19.6t + 1/2×9.8t²
4.9t² +19.6t - 156.9 = 0
t = 2 sec
Average velocity is defined as the trade in position or displacement (∆x) divided by the time durations (∆t) wherein the displacement takes place. The common velocity can be effective or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).
Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.
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Can a car moving toward right have direction of acceleration toward the left?? How??
Since the acceleration is to the left it will have a negative acceleration in the coordinate system.
If the acceleration points in the same direction as the velocity the object is accelerating. Also, if the acceleration is in the opposite direction of the velocity the object will slow down. The direction of acceleration depends on whether the object is accelerating or decelerating and the direction the object is moving. When an object is accelerated, its acceleration is usually in the same direction as its motion.
When an object slows down its acceleration is in the opposite direction of its motion. Axel has the right not to step on the brake and accelerator at the same time. This, combined with the fact that the driver presses the right and center paddles at the same time eliminates that concern.
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If Anna walks walks 80. m to the south, 60. m to the east, 50. m to the north, and then 20. m to the west. What is the total distance Anna has traveled?
A. 210. m.
B. 153. m.
C. 70. m.
D. 50. m.
E. None of the above.
The total distance if Anna walks walks 80m to the south, 60m to the east, 50m to the north, and then 20m to the west is 210m (option A).
What is distance?Distance is the amount of space between two points, usually geographical points, usually (but not necessarily) measured along a straight line.
According to this question, Anna walks walks 80m to the south, 60m to the east, 50m to the north, and then 20m to the west.
The total distance walked can be calculated as follows:
80m (southwards) + 60m (eastward) + 50m (northward) + 20m (westward) = 210m
Therefore, 210m is the total distance traveled by Anna.
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A light year is approximately 9. 5 trillion km long. 'barnard's star' is 6 light years away from earth. Calculate how many trillions of kilometres this is.
Using the theories of light year, we got that 57.0 trillion km is 'Barnard's star' away from earth.
Light is the fastest-moving stuff in the our universe. It actually travels at 186,000 miles per second (300,000 km/sec). And thus a light-year is about 5.88 trillion miles (9.46 trillion kilometers).
We know very well that ,
1 light year=9.5 trillion km
Therefore,6 light year=6×9.5 trillion km
=>6 light year=57.0 trillion km.
Hence, if a light year is approximately 9. 5 trillion km long, 'Barnard's star' is 6 light years away from earth which is equivalent to 57 trillion of kilometres
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A man is trying to push a box across a table. He pushes on the box with 5 n and the table provides a frictional force of 2 n. What will be the net force on the box?.
Using the concepts of Force,we got that 3N is the net force acts on the box if a man is trying to push a box across a table. He pushes on the box with 5 n and the table provides a frictional force of 2 n.
We know very well that every object is able to move on the surface of the earth is due to frictional force. If friction is absent then every object skids.
That frictional force always acts opposite in the direction of the movement of the body.
Here the amount of force exerted by a man is 5 N, while the amount of frictional force is 2N,means if 5N is acting on forward direction then 2N acts in opposite direction.
So, the net force acts on the body =Force exerted by man-Frictional force
=>Net force=(5N-2N)=3N
Hence, if A man is trying to push a box across a table. He pushes on the box with 5 n and the table provides a frictional force of 2 n, the net force on the box is 3n.
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a ball of mass 0.800 kg is carefully balanced on a shelf that is 2.50 m above the ground. what is its gravitational potential energy?
K.E. is supplied by
[tex]K.E. = 1/2. mv2[/tex]
[tex]KE = PE[/tex] because
[tex]1/2*mv2 = mg*h[/tex]
So,[tex]v = \sqrt{(2g/m)}[/tex]
What is potential energy?
An item may store energy according to its location, as we all know. In the instance of a bow and arrow, the bow stores some energy as it is drawn, and this energy is what gives the arrow its kinetic energy when it is released.Similar to this, a spring accumulates energy as it is moved away from its equilibrium state, which we can notice by the tension our hands experience when we stretch it. Potential energy is a type of energy that is created when anything changes position or condition.However, Let's study the definition of potential energy and its formula before moving on to instances and the potential energy unit.
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which of the following are advantages of monetary policy over fiscal policy? multiple select question. isolation from political pressure flexibility bipartisan agreement lower costs speed
A benefit of monetary policy over fiscal policy is that financial, banking, and monetary policy experts, not politicians, make the decisions. Political influences have little effect on the decision-makers. Every six weeks, policy can be altered and implemented by the decision-makers.
Because lower interest rates make it less expensive for people to borrow money to purchase expensive products like cars or homes, monetary policy can counteract a slump. Monetary policy can lower investment costs for businesses. By raising asset prices and cutting borrowing costs, expansionary monetary policy can boost corporate profits while having a minimal impact on GDP. Fiscal policy aims to either address total spending, the total composition of spending, or both, whereas monetary policy aims to stimulate economic activity. Fiscal and monetary politics share a comparable recognition latency; but, fiscal policy has a shorter effect lag than monetary politics, which has a shorter implementation lag.
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A 1. 0-kilogram ball is dropped from the roof of a building 40. Meters tall. What is the approximate time of fall?.
The approximate time of fall is 2.9s.
Calculation:-
Assume g = 9.8 m/s² and neglect air resistance.
The initial vertical velocity is zero.
let t = initial time
40 m = (1/2)*g*(t s)² = 0.5*9.8*t²
t² = 40/4.9 = 8.1633
t = 2.857 s
= 2.9s
Falling from a high place to the ground is called free fall. Hope you got it Dropping a ball from the top of a building will make it fall faster. When an object falls it gains speed. Increased speed leads to increased drag.
Eventually, the force of air resistance becomes large enough to balance gravity. The object stops accelerating. When gravity pulls an object to the ground, it always accelerates with a velocity of 9.8 m/s2.
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If we detect that the intensity of the light from a star is mostly constant but drops slightly to a new constant value for a while and then returns to its normal level and repeats this behavior at regular intervals, we can reasonably suspect that?.
Locating stars hidden by nebulae that would typically obscure other stars.
Unlike other waves in the electromagnetic spectrum, radio waves have huge frequencies. Since they are significantly larger than an atom and have a large wavelength, atomic nuclei cannot obstruct or deflect them. In contrast, gamma rays and other short-wavelength electromagnetic radiation can easily be blocked and deflected by atomic nuclei since they are smaller than atoms. When such radiation passes through a nebula cloud, it is greatly attenuated. Thus, this obstacle is circumvented by radio waves.Radio waves are an electromagnetic radiation type that are most commonly used in communication devices like radios, mobile phones, and televisions. These gadgets take in radio waves and transform them into sound waves by causing mechanical movements in the speaker.To know more about stars
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Jacob and David devise an experiment to determine how tall the school building is. They stand on the roof of the school where Jacob drops a rock to the ground while David times it. From the time Jacob drops the rock to the time they hear it hit the ground, it takes 0.81 s. If the speed of sound is 340 m/s how tall is the school? Remember that it takes time for the rock to fall to the ground AND time for the sound of it to come back up for them to hear it.
Answer:
The school is 3.40 meters tall.
Explanation:
You need to equations to solve this question. You need to know the time it takes to reach the ground and the time it takes for the two observers to hear it. The distance in both cases is the same, so the two conditions can be equated to each other.
Equations.
d = the height of the buildings
a is the acceleration due to gravity and is a constant 9.8i1 m/s^2
t1 is the time it takes to hit the ground
The initial velocity = 0 because the rock was dropped
Equation One
d = vi*t + 1/2 a t^2
Equation Two
d = v * t2
v is the velocity of sound
t2 is the time it takes for the sound to come back from hitting the ground.
d is the height of the school
Solution
vi*t + 1/2 a t1 ^2 = v * t2
t2 = 0.81 - t1
The times are separate, but they add up to 0.81 so
t1 I+ t2 = 0.81
t2 = 0.81 - t1
Rewrite the equation putting in the givens. Remember vi = 0
1/2 9.81 t1^2 = 340 * (0.81 - t1) Remove the brackets
4.91* t1^2 = 275.4 - 340 t1 Transfer the right side to the left
4.91*t1^2 + 340t1 - 275.4 = 0 Use the quadratic formula to solve
a = 4.91
b = 240
c = -275.4
t1 = (-240 +/- sqrt(240^2 - 4*4.91*-275.4))/(2*4.91)
t1 = .8007 = 0.80
t1 + t2 = 0.81
0.80 + t2 = 0.81 - 0.80
t2 = 0.01
What you have found is the time it takes for the sound to come back to the two observers which is 0.01 seconds
d(height of school) = 340 * 0.01 = 3.4 meters
A tone i dropped from 45 meter high building how will it be moving when it reache the ground and what will it velocity be
The stone reach in 3 second and with velocity 15m/s.
To find time
s = 1/2 a [tex]t^{2}[/tex]
s = distance, given = 45 meter
a = acceleration, given = 10 m/[tex]s^{2}[/tex]
Put these values in formula to get time, s = 1/2 a [tex]t^{2}[/tex]
t = 3 s
Now, to find velocity.
v = s/t
v = 45/3
v = 15 m/s
Therefore, the stone reach in 3 second and with velocity 15m/s.
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a neutron star is a compact star that forms from the gravitational collapse of a very massive star. during the collapse, what is the behavior of the moment of inertia of the neutron star and that of the angular velocity of the star?
The behavior of the moment of inertia of the neutron star and that of the angular velocity of the star is The angular velocity increases.
angular speed is the time charge at which an object rotates or revolves approximately an axis. Angular speed is represented via the Greek letter omega (ω, on occasion Ω). it's far measured in perspective in keeping with unit time; as a result, the SI unit of angular pace is radians per 2nd.
In physics, angular speed or rotational pace (ω or Ω), also called angular frequency vector, is a pseudovector illustration of the way fast the angular position or orientation of an object changes with time (i.e. how quickly an item rotates or revolves relative to a point or axis). The value of the pseudovector represents the angular velocity, the charge at which the object rotates or revolves, and its course every day to the immediate aircraft of rotation or angular displacement. The orientation of angular pace is conventionally unique by the right-hand rule.
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If car A moves toward south at 30 m/s, and car B moves toward east at 40 m/s, what's the speed of car A relative to car B?
The relative velocity of car A relative to car B is 50 m/s.
What is relative velocity?
The relative velocity of an object is defined as the velocity of an object with respect to another observer.
The relative velocity of every object is measured with respect to a another observer often referred to as frame of reference.
The relative velocity of car A relative to car B is calculated as follows;
Vr = √(Va² + Vb²)
where;
Va is the velocity of car AVb is the velocity of car BVr = √(30² + 40²)
Vr = 50 m/s
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g a solution is made by dissolving 15.5 g of calcium chloride, cacl2, in enough water to make exactly 100 ml of solution. what is the concentration (molarity) of the following in mol/l?
A solution is made by dissolving 15.5 g of calcium chloride, cacl2, in enough water to make exactly 100 ml of solution. The a solution is made by dissolving 15.5 g of calcium chloride, cacl2, in enough water to make exactly 100 ml of solution will be 1.4 mol /L
given
volume of solution = 100 mL = 0.1 L
number of moles = mass / molar mass
= 15.5 / 111 = 0.14 mol
molarity = number of moles of solute / volume of the solution
= 0.14 / 0.1 = 1.4 mol /L
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a 1500 kg car is traveling at 20 m/s rounds a curve so that it’s centripetal force is 7500 n. what is the radius of the curve
The radius of the curve is 80 m when its centripetal force is 7500 N.
Given Information:
Mass of the Car (m) = 1500 kg
The velocity of the Car (v) = 20 m/s
Centripetal Force (F) = 7500 N.
Now, Centripetal Force is given by,
[tex]F = \frac{mv^{2} }{r}[/tex]
Putting all these values in the formula for centripetal force,
[tex]7500 = \frac{1500*20^{2} }{R}[/tex]
[tex]R = \frac{1500 * 400}{7500} = 80[/tex]
Hence, the radius of the curve is 80 m.
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A cyclist starts from rest and accelerates at 1.0 m/s2
for 20 seconds. He then travels
with constant velocity for 1 minute and finally decelerates at 2.0 m/s2 until he stops. Find
his maximum velocity and the total distance travelled
The maximum velocity and the total distance traveled are equal to 20 m/s and 1500 m.
What is the velocity?Velocity can be defined as the vector measurement of the direction and magnitude motion of an object. The velocity of an object can be determined by the rate of change in the position w.r.t. time.
From the equation of motion, we can calculate the velocity of the cyclist:
v = u +at
v = 0 + (1) (20)
v = 20 m/s
v = 20 × (3600/1000)
v = 72 Km/h
The distance covered from t = 0 to t = 20 will be:
[tex]S = ut+\frac{1}{2}at^2[/tex]
S = 0 + 0.5 ×1×(20)²
S = 200m
Then travel for 1 minute with a constant speed of 20 m/s:
Distance = v × t = 20 × 60 = 1200 m
Then decelerates at 2 m/s² calculate time:
v = u -at
0 = 20 - (2) t
t = 10 s
The distance covered in t= 10 s and u = 20 here,
S = 20 × 10 - 0.5 ×2 × (10)²
S = 100 m
Therefore, total diatance travlled = 200 + 1200 + 100 = 1500 m
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if the perimeter of the window is 32 feet, find the exact value of x (in ft) so that the greatest possible amount of light is admitted.
The exact value of x is 4.48 ft so that greatest possible amount of light is admitted .
Norman window shap is rectangular surrounding by semi circle .
let x be the width and h be the height of window.
Therefore, radius of semi- circle is x/2 .
we have given that
perimeter of the window = 32 ft
the perimeter of semi-circle = π × x/2
the perimeter of rectangular = 2h + x
perimeter of window ( rectangular surrounding by semi circle) = 2h + x + πx/2 = 32 ---(1)
Area of rectangular part = x × h
Area of semi circle= π×(x/2)²
Area of window = π×(x²)/4 + xh ---(2)
Now, we must maximize the area of window so that greatest amount of light admitted.
using (1) , h = 16 - x/2 - πx/4
Area of window (A) = πx²/4 + 16x - x²/2 - πx²/4
A = 16x - x²----(3)
for maximize we take first order derivative of area and then put it equal to the zero for finding the critical value of x .
differentating equation (3) with respect to x we get, dA/dx = 16 - 2x
now, dA/dx = 0 so, 16 - 2x = 0 => x= 8
Hence , the exact value of x is 8 .
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Complete question:
Norman window has the shape of rectangle surmounted by semicircle: (Thus the diameter of the semicircle equal to the width of the rectangle labeled x. ) If the perimeter of the window Is 32 feet, find the exact value of x (In ft) so that the greatest possible amount of Iight Is admitted
If Jenny has a mass of 45 kg, and is on Earth. What is Jenny's weight?
Answer:
441kg
Explanation:
Lets assume Jenny is on Earth, if she is on the Earth, we time 45kg by 9.8
which means her weight on Earth would be 441kg.
Answer:
441 N is Jenny's weight
Explanation:
Given:
m = 45 kg
g = 9.8 m/s²
___________
P - ?
P = m·g
P = 45·9.8 = 441 N
a series rlc circuit is built with a 100 ohm resistor, a .55uf capacitor and a 122mh inductor. what would be the resonance frequency for circuit?
The resonance frequency for the circuit having a series connection with a 100-ohm resistor, a .55uf capacitor, and a 122mh inductor is 61.38 Hertz.
What is Resonance?Resonance is the relatively strong selective response of a system or item to an external oscillatory force that makes it vibrate in step or phase. Acoustic resonance is exemplified by the vibration that occurs in a violin or piano string of a certain pitch in response to the nearby singing or playing of a note of the same pitch.
The term that best defines what is causing the windows to vibrate is resonance. It happens when one system's vibration or an external stimulus makes another system vibrate more ferociously and at a certain favored frequency. The windows of the house shake a lot as a result. A resonance that matches a specific form of mechanical resonance has been found on the nuclear scale.
Given:
The resistance, R = 100 ohm,
The capacitance, C = 55 μF,
The inductance, I = 122 mh.
Calculate the Resonance by following the formula,
R = 1 /2[tex]\pi \\[/tex]([tex]\sqrt{LC}[/tex]),
Here R is the resonance,
Substitute the values,
R = 1 / 2 *3.14 *[tex]\sqrt{55 * 10^{-6} * 122 * 10^{-3}}[/tex]
R = 61.38 Hertz
Therefore, the resonance frequency for the circuit having a series connection with a 100-ohm resistor, a .55uf capacitor, and a 122mh inductor is 61.38 Hertz.
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a 1.5m long dowel is pivoted about the end so that it is a pendulum of sorts - it can freely swing in a vertical plane. at the other end of the dowel is a brass weight having mass 1.5 kg. (the center of the brass weight is 1.5 m from the pivot point. when the rod is positioned in its swing such that its angle with the vertical is 22.5 degrees, what is the torque on the rod about the pivot due to the presence of the brass weight?
The torque on the rod about the pivot due to the presence of the brass weight is 8.44 N.m.
What is torque?The force that can cause an object to rotate along an axis is measured as torque. In linear kinematics, force is what drives an object's acceleration. Similar to this, an angular acceleration is brought on by torque. As a result, torque can be thought of as the rotational counterpart to force. The axis of rotation is a straight line about which an object rotates.
Given parameters:
Mass of the brass weight, m= 1.5 kg.
Length of the rod, l = 1.5 m.
Angle with the vertical; θ =22.5⁰.
We have to find, torque on the rod about the pivot due to the presence of the brass weight; ζ = ?
Force applied by the brass weight; F = mass × acceleration due to gravity = 1.5 × 9.8 N = 14.7 N.
So, torque on the rod about the pivot due to the presence of the brass weight; ζ = Fl sinθ
= 14.7 × 1.5 × sin22.5° N.m
= 8.44 N.m.
Hence, the applied torque is 8.44 N.m.
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What are the examples of forms of globalization?.
Examples of forms of globalization: Economic globalization, political globalization, and cultural globalization.
In easy terms, globalization is the manner with the aid of which human beings and items flow effortlessly throughout borders. mainly, it is an economic idea – the mixing of markets, alternatives, and investments with few boundaries to gradually drift services and products among international locations.
An instance of environmental globalization would be the collection of global Tropical wooden agreement treaties (1983, 1994, 2006), setting up global Tropical wooden business enterprises,s and promoting sustainable control of tropical forests. excellent examples of cultural globalization are, for example, the trading of commodities including coffee or avocados. espresso is stated to be originally from Ethiopia and eaten up inside the Arabid vicinity. nonetheless, due to industrial trades after the 11th century, it's far from nowadays referred to as a globally fed-on commodity.
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Complete the following sentence.
If you shine a flashlight at an object in space that is 150,000,000 km from Earth, the light will arrive at the object in approximately
light seconds.
Answer:
the answer two your question is 500
A very long flat conducting strip of width d and negligible thickness lies on a horizontal plane and carries a uniform current I across its cross section.
a) Show that at points a distance y directly above from its center the field is given by:
assuming the strip is infinitely long. [Hint: Divide the strip into many thin "wires" and sum (integrate) over these]
b) What value does B approach for y >> d ? Does this make sense? Explain.
The b approach for y with magnetic field with uniform current is current is B=(µI/πd ) 1/(tan(d/2y)
The concept of "equivalent uniform current" in wave-current computations is introduced in this paper. For a given observed wave period, wave height, and water depth, this current is defined as the uniform current that produces the same wavelength as the actual depth-varying current. Consider the strip to be the collection of a number of thin parallel wires, each carrying a current I. Because the vertical contributions to the magnetic field cancel, integration along the horizontal component is now performed. b- The magnetic field magnitude with current is B=(µI/πd ) 1/(tan(d/2y)
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What happens to air as it expands?
a) It cools.
b) It does not change its temperature.
c) It heats up.
a) It cools.
It cools down as it spreads. The rising air parcel's pressure must decrease with altitude since the atmospheric pressure does.
When air expands, what happens to it?Each molecule has more room to move about as air warms up because the molecules begin to vibrate and collide. Air expands and becomes less dense as a result of each molecule requiring more space to move (lighter).The rising air parcel's pressure must decrease with altitude since the atmospheric pressure does. Air grows larger as it rises. It cools down as it spreads.As it rises, air expands and cools (adiabatic cooling: that is, it cools due to change in volume as opposed to adding or taking away of heat). Condensation or precipitation is what happens.To learn more about Adiabatic cooling refer to:
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What do you predict would happen if you brought a negatively charged balloon next to an uncharged piece of paper?.
A portion of the paper near the balloon becomes positive when you place the balloon close to a small piece of paper because the negative charge balloon repels the electrons charge in the paper.
Electric charge, a fundamental characteristic of matter carried by some elementary particles, controls how an electric or magnetic field affects the particles. Positive or negative electric charge exists in distinct natural units and cannot be created or destroyed.
Positive and negative charges are the two main categories of electric charges. When two objects are relatively close to one another and one type of charge is present in excess, they repel one another. When they are relatively close to each other, two objects with excess opposite charges—one positively charged and the other negatively charged—attract to one another.
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An object of mass 6 kg accelerates from 5 m/s to 9 m/s in 8 s. How much work was done on the object during this time? how much power was applied? what is its change in momentum?
Answer:
(1)540 J
(2)67.5 J/s or 67.5W
(3)look at underline statement in explanation
Explanation:
(1) acceleration = change in speed ÷ time
= (9-5)m/s ÷ 8s
= 0.50 m/s²
resultant force of object during motion
= mass(in kg) × acceleration
= 6 × 0.50 = 3 N
displacement of force applied
= area under speed time graph(when sketched out, it's a trapezium)
= ½ × (5+9) × 8
= 180m
work done is measured in joules
= force × displacement of force applied
= 3N × 180m
= 540 J
detailed explanation:
altho the final unit for the work done should be Nm, but J is equal to Nm.
(2) Power is measured by J/s
therefore power = 540 J ÷ 8s = 67.5 J/s or 67.5 W
(3) the object accelerates constantly along a straight road
A 3.5 m long frictionless pendulum of mass 2.0 kg is released from point A at an angle θ of 10 degrees. What is the speed of the pendulum at point D, half the height up to point E?
Answer:
5
Explanation:
melsun slemalawkew melsun asawkecn
A family uses the microwave to prepare their cat’s food. The cat comes running into the room when the microwave timer sounds, but not when it hears the oven timer. The cat is demonstrating the concept of.
Each cat get 3 ounces of food .
What is ounces?
Ounces is a unit of weight of one sixteenth of a pound approximately 28 gram.
An ounce is also a very small amount.
Sol-
all together there is 24 ounces
(4×6=24)
The divide 24 by 8 to see how much each cat gets
24÷8=3
3 ounces each
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At which point does the train on time his roller coaster have the most kinetic energy? Explain
The point of time at which the train in roller coaster will have the most kinetic energy is at the lowest point of the roller coaster.
KE = 1 / 2 m v²
KE = Kinetic energy
m = Mass
v = Velocity
KE ∝ v²
In a roller coaster no external force is applied. It works on the principle of law of conservation of energy. Initially it is raised to a height where it gains potential energy. From there due to downwards motion, potential energy is converted into kinetic energy. So in the lowest point of its motion, potential energy is fully converted into kinetic energy and hence it will be maximum at this point.
Therefore, the point of time at which the train in roller coaster will have the most kinetic energy is at the lowest point of the roller coaster.
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What is the speed of a car if it has a mass of 1000 kg and kinetic energy of 32 kJ?
Answer:
8 m/s
Explanation:
K.E. = 1/2 m v^2
32 000 j = 1/2 (1000) v^2
v = 8 m/s
a 2.92 kg particle has a velocity of (2.99 i hat - 3.94 j) m/s. (a) find its x and y components of momentum. px
The momentum of x 8.731 kgms⁻¹ i and y is 11.5 kgms⁻¹ components of momentum.
Momentum is the product of the mass and pace of an item. it's miles a vector quantity, owning importance and a path. Momentum may be the notion of as the "energy" when a frame is moving, which means how a whole lot pressure it can have on any other frame.
A pressure acting for a given quantity of time will change an item's momentum. positioned some other way, an unbalanced force constantly hastens an object - either speeding it up or slowing it down. If the force acts opposite the item's movement, it slows the item down.
Calculation:-
Momentum = mass × velocity
= 2.92 × (2.99 i)
= 8.731 kgms⁻¹ i
Momentum = mass × velocity
= 2.92 × (3.94 j)
= 11.5 kgms⁻¹
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