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.
Which equation shows the relationship between the Kelvin and Celsius temperature scales?
The relationship between the Kelvin and Celsius temperature scales is given by: [tex]\( K = ^\circ C + 273.15 \)[/tex], where[tex]\( K \)[/tex] is the temperature in Kelvin and [tex]\( ^\circ C \[/tex]) is in Celsius.
The equation relating the Kelvin and Celsius temperature scales is [tex]\( K = ^\circ C + 273.15 \).[/tex] In this equation, [tex]\( K \)[/tex] represents the temperature in Kelvin, and [tex]\( ^\circ C \)[/tex] represents the temperature in Celsius. The addition of 273.15 to the Celsius temperature converts it to the equivalent temperature in Kelvin. This conversion is necessary because the Kelvin scale is an absolute temperature scale, starting from absolute zero, where molecular motion ceases entirely.
Conversely, to convert a temperature from Kelvin to Celsius, one subtracts 273.15. This relationship is crucial in various scientific and engineering applications where temperatures need to be expressed in different units. For instance, in physics and chemistry, Kelvin is often used in thermodynamic calculations, while Celsius is more commonly used in everyday contexts.
This relationship stems from the definition of the Kelvin scale, where 0 K is defined as absolute zero, the theoretical lowest temperature possible, and the Celsius scale, where 0°C is defined as the freezing point of water at standard atmospheric pressure, and 100°C is defined as the boiling point of water at standard atmospheric pressure. The offset of 273.15 accounts for the difference between the two scales' zero points.
___________ 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.
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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A student pushes a box with a total mass of 50 kg. What is the net force on the box if it accelerates 1.5 m/s
A. 51.5 N
B. 48.5 N
C. 75 N
D. 33.3 N
Answer:
Net force acting on the box is 75 N.
Explanation:
It is given that,
Mass of the box, m = 50 kg
Acceleration of the box, [tex]a=1.5\ m/s^2[/tex]
Let F is the net force acting on the box. It can be calculated using the Newton's second law of motion. According to this law the force acting on an object is equal to the product of mass and acceleration with which it is moving. Mathematically, it is given by :
[tex]F=m\times a[/tex]
[tex]F=50\ kg\times 1.5\ m/s^2[/tex]
F = 75 N
So, the net force acting on the box is 75 N. Hence, this is the required solution.
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
Iceland is located on what type of plate boundary?
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.
What energy powers the star throughout its life?
What happens when the dew point and the temperature are the same?
Robert uses a spring scale to measure force. what are the units of his measurement?
What is a proper directive for using a can of compressed air to clean a pc?
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 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.
1. The variable of social structure that lays the broadest framework of social location is
a. race
b. culture
c. social class
d. status
Option B i.e Culture is the right and the correct answer.
Culture is the variable of social structure that lays the broadest framework of social location. On the other hand we see race, social class and social status divide people according to their color, income, occupation, education, preveliges etc.
Answer: culture
Explanation: culture is the way of life in term of religion, belief, behaviour peculiar to some certain group of people in a particular location which may be slightly different or differ greatly from another set of people in another location.
What is the velocity of a rocket that travels 9000 meters in 12.12 seconds
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
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
what is the density of an object that has a mass of 52.0 and a volume of 17.5ml?
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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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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Most of the nutrients in the rainforest ecosystem are in the _____.
oragnisms ?????????????????????
Which of the following force fields will deflect electron beams?
Magnetic
Electrical
Gravitational
Answer:
Electrons re deflected by both electrical and magnetic fields.
Explanation:
When an electron enters in magnetic field at any arbitrary angle Θ, the magnetic force experiences by electron is given by
[tex]F = q \times v\times B\times Sin\Theta[/tex]
So, electron experiences a force and deflects.
When an electron enters into electric field, the force experiences by the electron is given by
[tex]F = q \times E[/tex]
So, electron also experiences a force and deflects.
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:
When plugged into a 120-v wall outlet, how much current is used by an electric blanket rated at 140 w?
What's the energy before a student jumps off a bridge
A net force acting on an object will always cause a change in the object's _________.
Final answer:
A net force acting on an object causes a change in the object's momentum, which is explained by Newton's second law. External forces can be visualized with a free-body diagram to determine the net force acting on an object.
Explanation:
A net force acting on an object will always cause a change in the object's momentum. According to Newton's second law of motion, the net force is proportional to the rate of change of momentum and is also equal to the mass of the object multiplied by its acceleration (F=ma). This means that when a net external force is applied to an object with mass, it will experience acceleration, and thus, a change in momentum. External forces acting on the object can be visualized using a free-body diagram to help determine the net force.
It's also important to differentiate between the concepts of mass and weight. Mass is the quantity of matter in an object, and weight is the gravitational force acting on that mass. When an external force is applied, including gravitational force, and there is no other force to counteract it, the object will undergo acceleration as per Newton's second law.
Com what is the difference between the interfaceid and the classid
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.