A quarterback back pedals 2.2 meters southward and then runs 6.8 meters northward, what is the distance, the magnitude, and direction?
Answer:
Distance moved = 9.0 m
Displacement magnitude = 4.6 m
Direction : Northwards
Explanation:
the quarter back pedals 2.2 m South
Then he pedal 6.8 m North
So here we can say that total distance moved by the quarterback is
[tex]Distance = 6.8 + 2.2 = 9.0 m[/tex]
Now to find the displacement we need to add them with direction
so we have
[tex]\vec d = 6.8 - 2.2 = 4.6 m[/tex]
Direction : Towards North
The total distance covered by the cyclist is 9 m, while the displacement is 4.6 m northwards.
The given parameters;
initial position, 2.2 m southwardfinal position, 6.8 m northwardsDistance is scalar quantity. That is, distance can be represented in a complete sense with magnitude only.
The total distance covered during the motion = 2.2 m + 6.8 m = 9m
The direction describes the position of the total displacement.
The displacement = (6.8 m - 2.2 m) northward
The displacement = 4.6 m northward.
Thus, we can conclude that the total distance covered by the cyclist is 9 m, while the displacement is 4.6 m northwards.
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Most of the nutrients in the rainforest ecosystem are in the _____.
oragnisms ?????????????????????
How many significant figures does 1.362 + 25.2 have?
The correct answer is that 1.362 + 25.2 has 3 significant figures.
To determine the number of significant figures in the sum of two numbers, one must consider the precision of both numbers. The number 1.362 has four significant figures, while the number 25.2 has three significant figures.
When adding or subtracting numbers, the result should have the same number of decimal places as the number with the fewest decimal places. In this case, 25.2 has one decimal place, while 1.362 has three decimal places. Therefore, the sum should be rounded to one decimal place to match the least precise number.
Adding the two numbers gives:
[tex]\[ 1.362 + 25.2 = 26.562 \][/tex]
Now, we round the result to one decimal place, as 25.2 has one decimal place:
[tex]\[ 26.562 \approx 26.6 \][/tex]
The result, 26.6, has three significant figures: 2, 6, and the 6 in the tenths place. Thus, the sum 1.362 + 25.2 has 3 significant figures.
Which simple machines combine to make scissors?
A.
one lever and two wedges
B.
two levers and two wedges
C.
one inclined plane and two wedges
D.
two inclined planes and two wedges
Answer:
C.
one inclined plane and two wedges
Explanation:
What is the de broglie wavelength of an electron traveling at 1.34×105 m/s ?
The de Broglie wavelength of an electron can be calculated using the de Broglie equation that relates the wavelength of a particle to its momentum. The given velocity and known constants are used in this calculation.
Explanation:To calculate the de Broglie wavelength of an electron, we apply the de Broglie equation which states λ = h / p, where λ is the wavelength, h is Planck's constant, and p is the momentum of the particle. For an electron moving at non-relativistic speeds, the momentum p is calculated using p = mv, where m is the mass of the electron and v is the velocity.
In this case, the electron's velocity v is provided as 1.34×10⁵ m/s. We know the mass m of the electron to be approximately 9.11 × 10^-31 kg, and the Planck's constant h to be 6.626 × 10^-34 kg m²/s from quantum theories. Plugging these values into the equations, we can find the de Broglie wavelength.
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The de Broglie wavelength of an electron travelling at 1.34 × 10⁵ m/s is approximately 5.41 nm, calculated using the formula λ = h / (mv). Here, h is 6.626 × 10⁻³⁴ Js and m is 9.109 × 10⁻³¹ kg.
The de Broglie wavelength of a particle is given by the formula λ = h / (mv), where λ is the wavelength, h is Planck's constant (6.626 × 10⁻³⁴ Js), m is the mass of the particle, and v is its velocity. For an electron travelling at a speed of 1.34 × 10⁵ m/s, we can calculate the wavelength as follows:
Planck's constant: h = 6.626 × 10⁻³⁴ JsMass of an electron: m = 9.109 × 10⁻³¹ kgVelocity of the electron: v = 1.34 × 10⁵ m/sWe plug these values into the formula:
λ = h / (mv) = 6.626 × 10⁻³⁴ Js / (9.109 × 10⁻³¹kg × 1.34 × 10⁵ m/s) ≈ 5.41 × 10⁻⁹ meters
Therefore, the de Broglie wavelength of an electron travelling at 1.34 × 10⁵ m/s is approximately 5.41 nm.
what is the density of an object that has a mass of 52.0 and a volume of 17.5ml?
which of the following correctly describes a longitudinal wave
Scientists used to believe that the earth was the center of the universe. which invention was primarily responsible for obtaining evidence against this?
a.sextant
b.astrolabe
c.hubble telescope
d.optical telescope
___________ is best described as the ability to do work.
The source of earth's magnetic field is best explained by _____.
Answer:
As we know that the Earth core is at high temperature and due to this high temperature the core of Earth contains large amount of molten metal.
Due to this large amount of molten metal there exist huge amount of charges or ions along with the molten metal. Now these molten metal or ions revolve around the axis of rotation of earth with the rotation of Earth around its own axis.
Due to this revolution of molten metal there exist a huge current in the earth due to motion of ions.
Now we know that magnetic field due to rotating current carrying coil is given by
[tex]B = \frac{\mu_0 Ni}{2R}[/tex]
so here this will produce magnetic field due to rotation of earth about its own axis.
When approaching an intersection where the traffic signal is out you should?
If you're approaching an intersection where the traffic signal is out, treat it as a four-way stop. Come to a full stop and proceed when it's your turn and it's safe. Some laws require drivers to treat broken traffic signals as stop signs.
Explanation:When approaching an intersection where the traffic signal is out, you should treat the situation as you would a four-way stop. This means that you should make a full stop at the intersection and proceed only when it's your turn and it's safe to do so. This rule is in place to prevent accidents from occurring.
Many vehicles speed through intersections without regard to the posted speed limit, especially when traffic signals are out. However, state laws typically require drivers to think of broken traffic signals as stop signs. If two vehicles arrive at the intersection at the same time, the vehicle on the left should yield to the vehicle on the right.
Furthermore, if the intersection is busy and multiple vehicles are waiting to proceed, drivers should take turns going in the order in which they arrived at the intersection. This is essential for maintaining order and preventing accidents at intersections where the traffic signal is out.
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A package was determined to have a mass of 5.7 kilograms. What's the force of gravity acting on the package on earth? A. 37.93 N B. 1.72 N C. 13.44 N D. 55.86 N
Answer:
D.55.86 N
Explanation:
A swimming pool, 10.0 m by 4.0 m, is filled with water to a depth of 3.0 m at a temperature of 20.2°c. if the energy needed to raise the temperature of the water to 29.7°c is obtained from the combustion of methane (ch4), what volume of methane, measured at stp, must be burned? ∆hcombustion for ch4 = -891 kj/mol
You need to find the mass of water in the pool.
Find the volume (10 x 4 x 3) = 120 m3
Water has a density of 1000g/m3,so 120 m3 = 120 x 1000 = 120 000 kg
[delta]H = 4.187 x 120 000 x 3.4 (and the units will be kJ)You then use the heat of combustion knowing that each mole of methane releases 891 kJ of heat so if you divide 891 into the previous answer, you will get the number of moles of CH4
Answer:
119.69 kilo liter volume of methane measured at STP, must be burned.
Explanation:
Length of the pool= 10.0 m
Breadth of the pool = 4.0 m
Height upto which the pool will be filled= 3.0 m
Volume of the water in the pool = volume of the pool :
= 10.0 m × 4.0 m × 3.0 m = [tex]120.0 m^3[/tex]
Density water = [tex]997 kg/m^3[/tex]
Mass of the water(m) = [tex]Density \times volume =997 kg/m^3\times 120 m^3=119,640 kg[/tex]
Energy required to raise the temperature = Q
Mass of the water = m = 119,640 kg =[tex]119,640\times 1,000 g=119,640,000 g[/tex]
Specific heat of water ,c= 4.186 J/g °C
Change in temperature, [tex]\Delta T=29.7^oC-20.2^oC=9.5 ^oC[/tex]
[tex]Q=mc\Delta T[/tex]
[tex]Q=119,640,000 g\times 4.186J/g ^oC\times 9.5 ^oC[/tex]
[tex]Q = 476,113.36\times 10^4J=476,1133.6 kJ[/tex]
Heat required to raised the temperature is 476,1133.6 kJ.
Heat evolved when 1 mol of methane = -891 Kj
Number of moles of methane giving (- 476,1133.6) kJ of heat:
[tex]\frac{-476,1133.6 kJ.}{-891}=5,343.58 mol[/tex]
At STP, 1 mol occupies = 22.4 L
Then 5,343.58 mol will occupy :[tex]22.4\times 5,343.58 L=119,696.19 l=119.69 kilo liter[/tex]
119.69 kilo liter volume of methane measured at STP, must be burned.
On a planet far, far away, an astronaut picks up a rock. the rock has a mass of 5.10 kg, and on this particular planet its weight is 40.0 n. if the astronaut exerts an upward force of 53.7 n on the rock, what is its acceleration? magnitude
An inattentive driver is traveling 15.0 m/s when he notices a red light ahead. his car is capable of decelerating at a rate of 3.35 m/s2 . part a if it takes him 0.210 s to get the brakes on and he is 66.0 m from the intersection when he sees the light, will he be able to stop in time
To escape Earth's gravitational pull, an object mush reach a speed of 11,180 meters per second. how fast is this kilometers per second
The speed required to escape Earth's gravitational pull, 11,180 meters per second, is equivalent to 11.18 kilometers per second.
Explanation:To convert the speed from meters per second to kilometres per second, you need to know that 1 kilometre is equivalent to 1000 meters. So, if an object needs to reach a speed of 11,180 meters per second to escape Earth's gravitational pull, we divide 11,180 by 1000 to get the speed in kilometres per second.
11,180 m/s ÷ 1000 = 11.18 km/s
This results in a speed of 11.18 kilometers per second.
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The strength of the golfer, the form of the golfer, the wind, and the ____________ affect the distance the golf ball will travel. A. age of the golfer B. temperature C. course conditions D. height of the golfer
Answer:
C. course conditions
Explanation:
In the game of the golf the ground/court in which it is played is called as golf course. It has various obstacles such as grassy land, water holes, trees, shrubs etc. The landscape is also uneven and has lot of inclines and declines.
The parameters which will control the distance a golf ball will travel will include course conditions in addition to the ones mentioned in the question. For example, if it drops on a declined slope it will travel farther than its drop point. Other options will have not impact on the distance the ball will travel.
You're driving along at 25m/s with your aunt's valuable antiques in the back of your pickup truck when suddenly you see a giant hole in the road 55 m ahead of you. fortunately, your foot is right beside the brake and your reaction time is zero!
This question is about the physics of a car's stopping distance and the effect of reaction time on it.
Explanation:The subject of this question is Physics and it is appropriate for high school level students.
In this scenario, the driver is traveling at a speed of 25m/s when they see a hole 55m ahead of them. Since their reaction time is zero, meaning they immediately apply the brakes, the total displacement during the reaction time is 15.0m greater than if they reacted instantly. The stopping distance, in this case, would be the same for both dry and wet concrete, so we need to calculate the distance the car travels during the reaction time and add that to the stopping distance.
To summarize, this question is about the physics of a car's stopping distance and the effect of reaction time on it.
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Which two adjacent planets have the largest distance between them?
a. Uranus and Neptune
b. Mars and Jupiter
c. Jupiter and Saturn
Final answer:
Uranus and Neptune are the two adjacent planets with the largest distance between them, approximately 11 AU apart, unlike Jupiter and Saturn or Mars and Jupiter which are closer together.
Explanation:
The two adjacent planets in our solar system with the largest distance between them are Uranus and Neptune. These outer planets, also known as ice giants, have vastly different compositions compared to their neighbouring gas giants. While Jupiter and Saturn share many similarities, Uranus and Neptune differ significantly in composition and structure. The distance between Uranus and Neptune is greater due to their position in the solar system, with Uranus orbiting at approximately 19 AU (Astronomical Units) and Neptune at about 30 AU from the Sun. This indicates that the distance separating them is roughly 11 AU, which is more than that between Mars and Jupiter or Jupiter and Saturn.
Furthermore, the study of the giant planets — which include Jupiter, Saturn, Uranus, and Neptune — has been enhanced by spacecraft explorations, most notably by Voyager 2 and the missions Galileo and Cassini. These have provided us with invaluable information on the composition, atmospheres, and internal structures of these distant worlds.
A protostar forms once the nebular cloud condenses and the core begins
Answer:
Explanation:
A protostar forms once the nebular cloud condenses and the core begins HEAT.
A protostar is a very young star that is still gathering mass from its parent molecular cloud. The protostellar phase is the earliest one in the process of stellar evolution. A protostar is the earliest stage in star formation in the universe. When the gas cloud begins to collapse on its own weight, the core begins to heat up. The heat is due to the force of compression of the dust and gas under its gravity. When the pressure and temperatures become high enough, the hydrogen in the core begins to fuse.
Having a stronger negative or positive change on one side is called what ?
What energy powers the star throughout its life?
The image above shows a block pulled across a table. The spring scale which measures in Newtons, reads the force resisting the motion as___
A) drag force b) weight force c) gravity force d) friction force
Calculate the displacement of the volleyball in sample problem 2f when teh volleyballs final velocity is 1.1 m/s upward
The displacement of the volleyball is approximately [tex]\(1.428 \, \text{m}\)[/tex] downward.
To calculate the displacement of the volleyball, we'll need to use the kinematic equation that relates initial velocity [tex](\(v_0\))[/tex], final velocity [tex](\(v\))[/tex], acceleration [tex](\(a\))[/tex], and displacement [tex](\(d\))[/tex]:
[tex]\[ v^2 = v_0^2 + 2ad \][/tex]
Given:
Initial velocity [tex](\(v_0\))[/tex] = 5.4 m/s downward (from the problem statement)
Final velocity [tex](\(v\))[/tex] = 1.1 m/s upward
Acceleration [tex](\(a\)) = \( g \)[/tex], acceleration due to gravity [tex]\(= 9.8 \, \text{m/s}^2\)[/tex]
We need to find the displacement [tex](\(d\))[/tex].
First, let's convert the initial velocity to be consistent with the direction of the final velocity. Since upward is taken as positive, we'll change the initial velocity's sign:
[tex]\[ v_0 = -5.4 \, \text{m/s} \][/tex]
Now, let's plug the given values into the kinematic equation:
[tex]\[ (1.1)^2 = (-5.4)^2 + 2 \times 9.8 \times d \][/tex]
[tex]\[ 1.21 = 29.16 + 19.6d \][/tex]
Now, let's solve for [tex]\( d \)[/tex]:
[tex]\[ 19.6d = 1.21 - 29.16 \][/tex]
[tex]\[ 19.6d = -27.95 \][/tex]
[tex]\[ d = \frac{-27.95}{19.6} \][/tex]
[tex]\[ d \approx -1.428 \, \text{m} \][/tex]
The negative sign indicates that the displacement is downward.
Therefore, the displacement of the volleyball is approximately [tex]\(1.428 \, \text{m}\)[/tex] downward.
The displacement of the volleyball is [tex]\( 0.06173 \, \text{m} \)[/tex] downward.
To calculate the displacement of the volleyball, we can use the equation of motion:
[tex]\[ v^2 = u^2 + 2as \][/tex]
where:
-v is the final velocity (1.1 m/s upward),
- u is the initial velocity,
- a is the acceleration, and
-s is the displacement.
Given that the initial velocity is 0 m/s (as the ball is thrown upward), we can rearrange the equation to solve for s:
[tex]\[ s = \frac{{v^2 - u^2}}{{2a}} \][/tex]
Since the ball is moving upward, acceleration due to gravity will act in the opposite direction, and its magnitude is [tex]\( 9.8 \, \text{m/s}^2 \) (assuming no air resistance). So, \( a = -9.8 \, \text{m/s}^2 \).[/tex]
Now, let's plug in the values:
[tex]\[ s = \frac{{(1.1 \, \text{m/s})^2 - (0 \, \text{m/s})^2}}{{2 \times (-9.8 \, \text{m/s}^2)}} \][/tex]
[tex]\[ s = \frac{{1.21 \, \text{m}^2/s^2}}{{-19.6 \, \text{m/s}^2}} \]\\ s = -0.06173 \, \text{m} \][/tex]
Since displacement is a vector quantity, the negative sign indicates that the displacement is in the opposite direction to the direction of acceleration (downward in this case). So, the displacement of the volleyball is [tex]\( 0.06173 \, \text{m} \)[/tex] downward.
Complete question:
Calculate the displacement of the volleyball when the volleyball’s final velocity is 1.1 m/s upward.
Bonnie and clyde are sliding a 300 kg bank safe across the floor to their getaway car. the safe slides with a constant speed if clyde pushes from behind with 445 n of force while bonnie pulls forward on a rope with 350 n of force. what is the safe's coefficient of kinetic friction on the bank floor?
The total force to slide the bank safe is 795 N. The normal force exerted by the safe on the floor is 2943 N. Hence, the coefficient of kinetic friction on the bank floor is 0.27.
Explanation:Solution:
To find the coefficient of kinetic friction, we first need to determine the total force used to move the safe. Bonnie and Clyde are both applying their forces to move the safe in the same direction. So, we add Clyde’s force to Bonnie's force. This gives us a total force of 795 N (445 N + 350 N).
Since the safe slides at a constant speed, it means the applied force is equal to the friction force. Therefore, the friction force is also 795 N. We calculate the normal force which is the weight of the safe, that is mass times the gravity. The mass of the safe is 300 kg and the gravity is approximately 9.81 m/s². Therefore, the normal force is 2943 N (300 kg×9.81 m/s²).
Now, we use the formula of kinetic friction, which is the friction force divided by the normal force, to find the coefficient of kinetic friction. Therefore, the coefficient of kinetic friction on the bank floor is 0.27 (795 N / 2943 N).
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Does sound travel faster or slower when the air gets warmer?
Photovoltaic energy is the conversion of _________ into electricity through a photovoltaic cell. A) sunlight B) hydropower C) wind energy D) nuclear energy
What happens when the dew point and the temperature are the same?
A rock is rolling down a hill. At position 1, its velocity is 2.0 m/s. Twelve seconds later, as it passes position 2, its velocity is 44.0 m/s. What is the acceleration of the rock?
Answer:
The correct answer is 3.5 m/s²
Explanation:
To determine the average acceleration of the rock,
the change in velocity is divided by the time interval (in seconds)
change in velocity = V₂ - V₁
where V₁ is the initial velocity (2.0 m/s) and V₂ is the final velocity (44.0 m/s)
change in velocity = 44 - 2 = 42 m/s
The time interval is 12 seconds (no need for conversion as it is in seconds already)
average acceleration of the rock = 42 ÷ 12 = 3.5 m/s²
A 75.0-kg person climbs stairs, gaining 2.50 meters in height. Find the work done to accomplish this task. 1.84 x 103 J
Answer:
1837.5
Explanation:
work will be equal to the potential energy gained by the person in climbing the stairs. work= potential energy gained = mgh W= 75kg*9.8m/s2*2.50m= 1837.5 J
A 75 kg person climbs stairs gaining 2.50 meters in height, then the work done to accomplish this task is 1837.5 J.
What is work done?When we apply force "F" to a block, the body moves with some acceleration or, additionally, its speed increases or decreases depending on the direction of the force. The system's kinetic energy changes as speed increases or decreases. Since we are aware that energy cannot be created or destroyed, it must be changed into another form. This perspective refers to it as completed work. When negative energy is finished, the energy declines, and when positive energy is finished, the energy rises. Now, we'll see how to gauge the amount of work done.
According to the question, the given values are :
Mass, m = 75 kg
Height, h = 2.50 m
The work done will be equal to the potential energy gained by the person.
W = mgh
W = 75 × 9.8 × 2.50
W = 1837.5 J.
Hence, the work done will be 1837.5 J
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