Answer:
newton-meter
Explanation:
Work is force times distance.
Force is measured in Newtons, Distance is measured in meters
So Work is measured in Newton*Meters
Answer:
Newton-meter
Explanation:
The newton-meter serves as the unit of measurement for work in the metric system. One newton-meter of work is completed when a weight is elevated one meter in height. Additionally, 6 newton-meters of work are accomplished when 3 newtons are lifted 2 meters.
what is the equation describing the motion of a mass on the end of a spring which is stretched 8.8 cm from equilibrium and then released from rest, and whose period is 0.66 s ? assume that the displacement at the start of the motion is positive.
The equation for the motion of a mass on the end of a spring with a period of 0.66 seconds and a stretch of 8.8 cm from equilibrium is
y = (8.8cm)cos(3πt).
What is the mathematical formula for the mass's motion?Newton's second law, which states that the force acting on a body is equal to that force multiplied by the acceleration of the center of mass of that body, or F = ma, is the basic equation of motion in classical mechanics.
As we are aware, the SHM equation is as follows:
y = Acos(ωt)
Here, we are aware of
ω = 2π/T
Here it is
T = 0.66s
now that we
ω = 2π/0.66
ω = 3π
We now have
y = (8.8cm)cos(3πt).
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newton's second law in 1 dimension: what magnitude net force is required to accelerate a 1200-kg car uniformly from 0 m/s to 27.0 m/s in 10.0 s?
The required force is F = 3240 N.
As a result,
1200 kg is the car's mass.
Initial speed of the vehicle, u = 0.
The car's final speed is 27 meters per second.
Thus we have to first calculate the acceleration and then substitutes its value in the force formula
Taking time, t = 10 s
F = m a, where a represents the vehicle's acceleration, is the formula for the required force.
a= v - u / t
thus a = 27 - 0/ 10
a = 27/ 10
F = 1200 X 27 / 10
F = 3240 N.
Therefore, this is the necessary solution.
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An obiect drops from a cliff. If
The final velocity of the object after 5 seconds it was dropped is determined as 50 m/s.
What is the final velocity of the object after 5 seconds?The final velocity of the object after 5 seconds it was dropped is calculated by applying the following kinematic equation as shown below.
v = u + at
where;
u is the initial velocity of the objecta is the acceleration of the objectt is the time of motion of the objectDuring the vertical motion of an object, the vertical velocity of the object decreases as the object moves upwards and eventually becomes zero as the object reaches maximum height.
The vertical velocity of the object starts to increase again when the object start falling downwards and becomes maximum before the object hits the ground.
v = 0 + ( 10 m/s² ) ( 5 s )
v = 50 m/s
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The complete question is below:
if the object falls from the cliff falls with a constant acceleration of 10 m/s2. Find its speed after 5 seconds it was dropped.
boat moves north at a velocity of 2.5 m/s while the current moves downstream at 6.0 m/s east. What is the resultant velocity of the boat, relative to an observer on the shore?
A) 4.5 m/s, NE
B ) 4.5 m/s, SE
C ) 6.5 m/s, NE
D ) 6.5 m/s, SE
E) 8.5 m/s, NE
Relative to the observer in on the shore, the velocity of the boat is 6.5 m/s, NE.
What is relative velocity?
The velocity of an object in relation to another observer is known as its relative velocity.
We cay say that the relative velocity is equal to the vector difference between the velocities of two objects. The relative velocity of A with respect to B= velocity of the body A – velocity of the body B.
The diagram below shows the calculation where AC is relative speed, AB is speed of the boat and BC is the speed of stream.
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what is the isolation and initial evacuation distance for this material since it is on fire?
Answer:
Isolate spill or leak area for at least 100 meters (330 feet) in all directions. See Table 1 - . If tank, rail car or tank truck is involved in a fire, ISOLATE for 1600 meters (1 mile) in all directions; also, consider initial evacuation for 1600 meters (1 mile) in all directions.
what would most likely happen if coastal north carolina increased implementation of wind energy?
The option that is more likely to happen if coastal north Carolina increased implementation of wind energy is The production of greenhouse gases would decrease.
A gas that produces the greenhouse effect by both absorbing and emitting radiant radiation in the thermal infrared range is referred to be a greenhouse gas. The five main greenhouse gases in the atmosphere of Earth are ozone, carbon dioxide, methane, and water vapor.
A renewable energy source is wind energy. It is non-polluting, never runs out, and reduces the demand for fossil fuels, which are the source of greenhouse gases that cause global warming.
By increasing the implementation of wind energy,
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Please help this is urgent
Consider a planet and an asteroid in the solar system. Both their orbits can be considered as a circle. Their distance to the center of the sun differ by a factor of 4. rB = 4 rA
When r increases by a factor of 4, how do period T, angular velocity ω, and linear speed v change respectively?
1. [tex]T_{B}[/tex] = ___ [tex]T_{A}[/tex]
2. [tex]\omega_{B}[/tex]=___[tex]\omega_{A}[/tex]
3. [tex]v_{B}[/tex] = ___[tex]v_{A}[/tex]
A particle moving in a circle has a linear velocity that is related to its angular velocity by the relationship r/r, where r is the radius, based on our understanding of circular motion.The most significant actions must be taken by the person on the outside.
What angular velocity ω, and linear speed v respectively?While linear speed v increases with radius, angular speed does not. For instance, to maintain line with the rest of the marching band, the individual on the outside must take the biggest steps.
Therefore, Every particle with a rigid body is subject to the relation v/ r = at any given time.
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a watermelon explodes into three equal masses. one mass moves east at 15.0 m/s. if a second mass moves at a velocity of 10.0 m/s 45.0o s of e, what is the velocity of the third mass? (hint: the total momentum is zero, so how will your vector arrows add up?)
The velocity of third mass of watermelon is 3.12m/sec if it explodes into three equal masses.
We know that we need to conserve the momentum of watermelon in a certain direction.Also,we know that initial momentum of watermelon is zero,it means that according to law of conservation of momentum final momentum should be zero.
Now,initial momentum of watermelon=0Kg-m/sec
Alos,we know that momentum =mass× velocity
Now,suppose watermelon has mass m.When it explodes into three equal parts,then the mass of each watermelon pieces is m/3
=>So,final momentum of piece moving to east=(m/3)×15
Similarly final momentum of second and third piece are
(m/3)×10×1/√2 and (m/3) × v × (1/√2)
So,conserving momentum,we get
=>0=(m/3) × 15 +((m/3)×10×1/√2 ) + (m/3)×10×1/√2 )×v
=> - (15 + 10/√2) = (10/√2)×v
=> - (15√2 + 10) = 10v
=>v = (15√2 + 10)/10
=>v= -(21.21+10)/10
=>v= -31.21/10
=>v= -3.12m/sec
Here negative sign shows that mass will move opposite direction to first piece.
Hence, required velocity is 3.12m/sec.
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to meet a u.s. postal service requirement, footwear must have a coefficient of static friction of 0.525 or more on a specified tile surface. a typical athletic shoe has a coefficient of 0.785. in an emergency, what is the minimum time interval in which a person starting from rest can move 2.85 m on a tile surface if she is wearing the following footwear?
A minimal time period is required to accelerate through x=3.00m because maximal static friction produces the force that creates maximum acceleration.
Explain what an acceleration is.acceleration is the rate of change in both direction and speed of velocity over time. When anything moves faster or slower in a straight line, it is said to have been accelerated. Because of direction is always shifting, motion on a circle accelerates even while the speed is constant.
A person moves by the help of frictional force, as a result of gtound reaction. So, the formula for frictional force is:
F = μR
where,
F = frictional force
μ = coefficient of friction
R = Normal Reaction = Weight of Body = W = mg
Therefore,
F = μmg
but, from Newton's 2nd Law of Motion:
F = ma
Comparing both equations, we get:
μmg = ma
a = μg ---------- equation (1)
Now, to calculate the distance moved by a body, we use 2nd equation of motion:
s = (Vi)(t) + (0.5)at²
using equation (1), we get:
s = (Vi)(t) + (0.5)μgt²
where,
s = distance moved by body
Vi = initial velocity of body
t = time taken to cover the distance
g = acceleration due to gravity
(a)
Vi = 0 m/s
g = 9.8 m/s²
s = 3.2 m
μ = 0.5
t = ?
Therefore,
3.2 m = (0 m/s)(t) + (0.5)(0.5)(9.8 m/s²)t²
t² = 3.2 m/(0.5)(0.5)(9.8 m/s²)
t = √1.30612 s²
t = 1.14 s
(a)
Vi = 0 m/s
g = 9.8 m/s²
s = 3.2 m
μ = 0.5
t = ?
Therefore,
3.2 m = (0 m/s)(t) + (0.5)(0.5)(9.8 m/s²)t²
t² = 3.2 m/(0.5)(0.5)(9.8 m/s²)
t = √1.30612 s²
t = 1.14 s
(a)
Vi = 0 m/s
g = 9.8 m/s²
s = 3.2 m
μ = 0.87
t = ?
Therefore,
3.2 m = (0 m/s)(t) + (0.5)(0.87)(9.8 m/s²)t²
t² = 3.2 m/(0.5)(0.87)(9.8 m/s²)
t = √0.75 s²
t = 0.87 s
What are acceleration and speed exactly?The rate of change in displacement is known as velocity. Acceleration is the rate at which speed changes. The fact that velocity contains both magnitude and orientation makes it a vector quantity. Acceleration is also a vector quantity since it is simply the rate during which velocity varies.
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a simple pendulum is 4.00 m long. (a) what is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 6.00 m/s2?
The time period of the small oscillations for the simple pendulum is found to be 3.14 seconds.
The pendulum is located in an elevator that is accelerating upwards with an acceleration of 6m/s² and length of the pendulum is 4m.
Because the elevator is accelerating in the upper direction the net acceleration of the pendulum will be (10 + 6)m/s².
The period of small accelerations for this pendulum will be given by the relation,
T = 2π(l/a)
Where, l is the length of pendulum and a is the net acceleration.
Putting values,
T = 2π(4/16)
T = 2π(1/2)
T = π seconds.
T = 3.14 seconds.
So, the time period of this small oscillations for this pendulum is 3.14 second.
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how many molecules of water are in a collection of snowflakes with a mass of 5.00 mg?
A normal snowflake may contain 1,000,000,000,000,000,000, or one quintillion, water molecules.
How many molecules of water are in a snowflake?The variety of sizes and shapes of snowflakes is endless. A lot of them seem to be two-dimensional works of art. Others resemble a tangled collection of ice strands that are beginning to fall apart. While some may fall as multi-flake clusters, most arrive as single particles. The source of all of them is the same: clouds, which typically float at a height of at least one kilometer (0.6 miles).The air up there can get very chilly throughout the winter and will become more colder as you ascend. Those clouds must be below freezing for snowflakes to form. albeit not freezing. A cloud's moisture causes snowflakes to develop. A cloud cannot store enough water for anything to precipitate out if the air temperature is sufficiently low. A balance is therefore required. For this reason, the majority of flakes form at or just below freezing, or 0o Celsius (32o Fahrenheit). Cooler climates can produce snow, but the less moisture there is to form snowflakes the colder it gets.In reality, for a flake to develop, the air inside a cloud must be super-moisture-dense. Because of this, there is more water in the air than is ordinarily feasible. When a substance is supersaturated, the relative humidity might exceed 101 percent. This indicates that 1% more water than the air should be able to carry is present.A cloud will attempt to expel extra water vapor from the air if there is an excessive amount present. Some of that surplus has the potential to crystallize and flash freeze, after which it will slowly drift to the earth.To Learn more About snowflake refer to:
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A 5.3 kg bowling ball begins rolling down a lane at the bowling alley at 6.6 m/s. When it strikes the pins, it is estimated to be moving at 4.0 m/s. What is the magnitude of energy that is lost due to friction?
The magnitude of energy that is lost due to friction is 73.7Joules.
What is energy ?In order to accomplish work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is the quantitative attribute that does this. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.
Computers, vehicles, communications, state-of-the-art medical technology, and many other things are all powered by energy. The demand for dependable and economical energy is especially pressing for emerging countries. It can be beneficial and even life-saving.
Energy required by the body is the kinetic energy
Kinetic Energy = 1 / 2 mv²
m = mass
v = velocity
For the 5.3kg moving at 6.6m/s
kE = 1/2 * 5.3 * 6.6²
KE = 1/2 * 5.3 * 43.56
KE = 115.71Joules
for the 5.3kg moving at 4m/s
KE = 42 joules
Amount of energy lost
= 115.71Joules - 42 joules
= 73.7 joule
Thus, the amount of Energy lost is73.7Joules.
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Dolphins, bats, and other animals use echolocation to determine the location of objects. How do blind people use echolocation to detect objects in their environment? What types of technologies and tools would be helpful?
Answer: Clicking sounds and clicking tools + hearing devices to help hear the clicks in loud situations
Explanation:
Some blind people have developed the ability to make clicking noises, either with their mouth or a clicker, and they can listen for the sound of it bouncing off objects around them. Based on the tone, volume, and depth of the click, these people can tell the distance, size, and sometimes material of an object. A clicking device would be a tool that is helpful, as well as any hearing aid that could allow the wearer to hear the clicks better or clearer in a loud environment. (Note: the sound could be anything. It does not have to be a click. Whistles, beeps, chirps, and other sounds also can work for people.)
a child forces a styrofoam ball under the surface of a container of water. if the child must apply 581 n to totally submerge the ball, what is the diameter d of the ball?
The diameter of the ball is 0.4998 m.
Given,
F=581n
Density of water pw= 1.0 x 10³ kg/m³
Density of styrofoam pfoam=95.0 kg/m³
Fb=Buoyancy force
W= Weight of ball
from the Figure
f+w=Fb
Fb-W=f
4/3πR³pwg-4/3πRpfoamg=f
4/3πR³(1000-95) x 9.81=581
R=0.2499m
then the diameter of the ball
d=2R
d=2 x 0.2499
d=0.4998m
the diameter d of the ball = 0.4998m
In physics, force is that power that can change the motion of an item. Pressure also can be described intuitively as a push or a pull.
Force is a push or a pull and it affects our daily lives because, without force, people might not be capable of opening and near stuff or lifting up their arms or legs.
Variety of Forces :
* Frictional Forces
* Tension force.
* Spring force.
* Gravitational pressure.
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The diameter of the ball is 0.4998 m.
What is diameter?
Any straight line segment that cuts through the centre of a circle and has ends that are on the circle is considered a circle's diameter in geometry. It is also known as the circle's longest chord. The diameter of a sphere can be defined using either of the two methods.
F=581n
Density of water pw= 1.0 x 10³ kg/m³
Density of styrofoam pfoam=95.0 kg/m³
Fb=Buoyancy force
W= Weight of ball
from the Figure
f+w=Fb
Fb-W=f
4/3πR³pwg-4/3π Rpfoamg =f
4/3πR³(1000-95) x 9.81=581
R=0.2499m
then the diameter of the ball
d=2R
d=2 x 0.2499
d=0.4998m
the diameter d of the ball = 0.4998m
In physics, force is that power that can change the motion of an item. Pressure also can be described intuitively as a push or a pull.
Force is a push or a pull and it affects our daily lives because, without force, people might not be capable of opening and near stuff or lifting up their arms or legs.
Variety of Forces :
* Frictional Forces
* Tension force.
* Spring force.
* Gravitational pressure.
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Which one of the following statements concerning electromagnetic waves is false?a. One form of electromagnetic radiation is visible light.b. All electromagnetic waves travel through a vacuum region at the speed of light.c. All electromagnetic waves are transverse waves.d. All electromagnetic waves have the same frequency.e. Electromagnetic waves can travel through solids, liquids, gases, and vacuumregions
Answer:
.Answer: d. All electromagnetic waves have the same frequency.
an airline employee tosses two suitcases in rapid succession, with a horizontal velocity of 7.2 ft/s, onto a 50-lb baggage carrier which is initially at rest. (a) knowing that the final velocity of the baggage carrier is 3.6 ft/s and that the first suitcase the employee tosses onto the carrier has a weight of 30 lb, determine the weight of the other suitcase. (b) what would be the final velocity of the carrier if the employee reverses the order in which he tosses the suitcases?
The weight of the second suitcase is approximately 54.7 lbs. To find the weight of the second suitcase, you can use the principle of conservation of momentum.
How to find weight of the suitcase ?The momentum of the first suitcase is given by its mass (30 lbs) multiplied by its velocity (7.2 ft/s):
P1 = m1 * v1
= 30 lbs * 7.2 ft/s
= 216 lbs*ft/s
The momentum of the second suitcase is given by its mass (m2) multiplied by its velocity (7.2 ft/s):
P2 = m2 * v2
= m2 * 7.2 ft/s
The momentum of the baggage carrier is given by its mass (50 lbs) multiplied by its velocity (3.6 ft/s):
P3 = m3 * v3
= 50 lbs * 3.6 ft/s
= 180 lbs*ft/s
The total momentum of the system after the suitcases are tossed onto the carrier is the sum of the momenta of the three objects:
Ptotal = P1 + P2 + P3
= 216 lbsft/s + m2 * 7.2 ft/s + 180 lbsft/s
Since the total momentum of the system before and after the suitcases are tossed onto the carrier must be the same, you can set the total momentum before the suitcases are tossed onto the carrier equal to the total momentum after the suitcases are tossed onto the carrier:
0 = 216 lbsft/s + m2 * 7.2 ft/s + 180 lbsft/s
Solving for m2, the mass of the second suitcase, you get:
m2 = (216 lbsft/s + 180 lbsft/s) / (7.2 ft/s)
= 396 lbs*ft/s / 7.2 ft/s
= 54.7 lbs
Therefore, the weight of the second suitcase is approximately 54.7 lbs.
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All living organisms are mainly composed of what elements? * 1 point A. Carbon, Phosphorus, Nitrogen, Oxygen, Potassium B. Calcium, Phosphorus, Nitrogen, Oxygen, Vibranium C. Oxygen, Carbon, Hydrogen, Nitrogen, Phosphorus D. Sodium, Carbon, Nitrogen, Hydrogen, Helium
All living organisms are mainly composed of the elements: Oxygen, Carbon, Hydrogen, Nitrogen, Phosphorus.
The correct answer choice is option c.
What are living organisms?Living organisms are those things that has life. They include plants and animals. Living organisms be it plants or animals are composed of important elements such as carbon, oxygen and others.
However, there are certain characteristic features which living organisms possess. Some of these characteristics of living things are as follows:
Movement: The ability of living organisms to move from one place to another or to move Its body parts. There are two major types of movement known in living organisms. These are: Active movementPassive movementOther characteristics of living organisms are:
RespirationNutritionIrritabilityGrowthExcretionReproduction AdaptationCompetitionIn conclusion, we can now confirm from above the explanation given above that living things are made up of certain elements.
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A car travels down a road at a certain velocity, vcar. The driver slows down so that the car is traveling only a third as fast as before. Which of the following is the correct expression for the resulting velocity?
a. 2vcar
b. 1/3vcar
c. -1/2vcar
d. -2vcar
The correct expression for the resulting velocity is -1/2 vcar. The correct option is c.
What is velocity?
The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.
A car travels down a road at a certain velocity, is Vcar.
Let the initial velocity of the car travel downward be -V car
It is also, given, that the driver slows down so that the car is traveling only half as fast as before.
Resulting velocity = -1/2 vcar
Therefore, the correct option is c. -1/2vcar.
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197) a submarine in neutral buoyancy is 100 m below the surface of the water. what air pressure must 197) be supplied to remove water from the ballast tanks in order for the submarine to surface?
Air pressure must be supplied to remove water from the ballast tanks is 9.8*105 N/m^2.
Buoyancy is the upward force exerted by a liquid that opposes the weight of a partially or fully submerged object. In a liquid column, the pressure increases with depth due to the weight of the liquid above. Therefore, the pressure at the bottom of the liquid column is higher than the pressure at the top of the column. Similarly, the pressure at the bottom of an object immersed in liquid will be greater than at the top of the object. A pressure differential results in a net upward force on an object. The magnitude of the force is proportional to the pressure difference and corresponds to the weight of the liquid (as explained by Archimedes' principle). This is the displaced liquid that would otherwise occupy the underwater volume of the object.
We know that pressure below the surface of water is P1 = Po +hdg
pressure at the surface of water is P2 = Po
Then pressure difference is P = P1 -P2 = hdg
h = depth = 100 m
d = density of water = 1000 kg/m3
g = 9.8 m/s2
Then P = 100*1000*9.8 = 9.8*105 N/m^2
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a car is traveling at 30 km per hour. a bug hits the windscreen and goes splat. which object experiences the greater force?
When a car is traveling at speed of 30 km per hour. a bug hits the windscreen and goes splat the bug's force on the windshield is equal to the windshield's force on the bug.
Why bug's force on the windshield is equal to the windshield's force on the bug?Bug's force on the windshield is equal to the windshield's force on the bug because the system bug-car maintains its overall momentum during the collision, the change in the car's momentum is equal to and opposes the change in the bug's momentum.
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what are the magnitude and location (with respective to point a) of the resultant force on the horizontal gate? the gate width is w. fluid density is r. you can leave your answer in terms of variables (w, r, and g).
The magnitude and location of the resultant force on the horizontal gate is: F = w * r * g, and Point A.
What is magnitude?Magnitude is a measure of the size or intensity of a physical quantity. It is usually defined as the absolute value of the numerical value of the physical quantity, and is often expressed in terms of a unit of measurement. Magnitude can refer to a variety of different physical quantities, such as size, intensity, brightness, or energy. Magnitude can also refer to the relative size or intensity of two or more physical quantities, when compared to each other.
The resultant force on the horizontal gate is equal to the sum of the hydrostatic forces acting on the gate.
Since the gate is horizontal, the hydrostatic forces acting on the gate will be equal to the pressure difference between the top and bottom of the gate.
This pressure difference is equal to the product of the fluid density, gravitational acceleration, and the gate width.
Therefore, the magnitude of the resultant force on the gate will be:
F = w * r * g
The location of the resultant force on the gate will be at the center of the gate, which is point A.
Therefore, the magnitude and location of the resultant force on the horizontal gate is: F = w * r * g, and Point A.
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a vertical spring has a spring constant of 100 n/m. when an object is attached to the bottom of the spring, the spring changes from its unstretched length of 0.50 to a length of 0.65 m. the magnitude of the weight of the object is
Answer: Hookes law states F=kX where F is the force applied, k is the spring constant, and X is the extension of the spring from its resting point.Substituting the values in, we get:F=100*(0.65-0.5)=100*0.15=15N
PLEASE HELP I PAY 88 POINTS AND THANK YOU AND BRAINLIEST
Instructions: Answer the following questions in the space provided. Be sure to write your responses in complete sentences.
A father pushes his daughter and son on a sled down a hill.
Part A: Other than the force exerted by the father pushing the sled, identify two additional forces that act on the sled as it travels from the top of the hill to the bottom. (2 pts)
Part B: Explain how each force you identified in Part A will affect the motion of the sled. (2 pts)
Answer: Down below is the answer in complete sentences!
Explanation:
PART A:
Gravity and Acceleration are two additional forces acting upon the sled.
PART B:
Gravity will affect the sled by pulling it down, since the slope of the hill is negative.
Acceleration will affect the sled by gradually increasing it's speed, since the slope is downwards, which in addition to the initial force exerted plus gravity increases the speed, thus the sled accelerates.
a current of 11 amps at 240 volts flows through an electric range. if it is user an average of 1 hour/day Calculate the kwhr used per week.
The kWh used per week by the electric range whose voltage and current is 240 V and 11 A respectively is 18.48 kWh.
What is electric kilowatt-hour (kWh)?
A kilowatt-hour is a unit of energy: one kilowatt of power for one hour. In terms of SI derived units with special names, it equals 3.6 megajoules (MJ).
To calculate the kWh per week of the electric range, we use the formula below.
Formula:
E = VIt/1000...............Equation 1Where:
E = Electric energy in kWh per week V = VoltageI = Currentt = Total timeFrom the question,
Given:
V = 240 VI = 11 ampst = 1 hour per day = 1×7 = 7 hours per weekSubstitute these values into equation 1
E = 240×11×7/1000E = 18.48 kWhHence, the kWh used per week is 18.48 kWh.
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Which of these does a balanced chemical
equation show?
the speed of a reaction
elements created by a reaction
phase changes taking place during a
reaction
the number of atoms involved in a reaction
A balanced chemical reaction shows the element created by the reaction, phase changes during the reaction, and the number of atom involved in it.
What are balanced chemical equation?
A balanced chemical equation is a chemical equation in which the number of atoms for each element in the reaction are equal on both sides of the equation. This is important in chemistry because it ensures that mass is conserved in a chemical reaction. For example, the combustion of methane (CH4) can be represented by the following balanced chemical equation:
CH4 + 2O2 → CO2 + 2H2O
In this equation, there are 4 atoms of carbon (C) on the left side and 4 atoms of carbon on the right side, indicating that all of the carbon has been accounted for in the reaction. There are also 8 atoms of oxygen (O) on the left side and 8 atoms of oxygen on the right side, 4 atoms of hydrogen (H) on the left side and 4 atoms of hydrogen on the right side, and 4 atoms of oxygen (O) on the left side and 4 atoms of oxygen on the right side, indicating that all of the elements have been accounted for in the reaction.
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light travels along the length of a 1500-nm-long nanostructure. when a peak of the wave is at one end of the nanostructure, is there a peak or a valley at the other end if the wavelength is (a) 500 nm and (b) 1000 nm?
If the light travels along the length of a 1500 nm , then
(a) if the wavelength is 500 nm then there will be a peak at other end .
(b) if the wavelength is 1000 nm then there will be a valley .
Wavelength is defined as the distance between two consecutive peaks or valleys .
given the length is = 1500 nm ;
we know that , the formula is L = nλ ;
Part (a) ;
for peak at other end ,
n should be a whole number ;
So , λ = 500 nm
n = 1500/500 = 3 ,
Part(b)
λ = 1000 nm ;
n = 1500/1000
= 1.5
Therefore , (a) There will be a peak at other end .
(b) There will not be a peak at other end .
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Which choice below explains what is happening in a liquid as it turns into a gas?
a. The particles speed up and spread apart
b. The particles speed up and come closer together
c. The particles slow down and spread apart
d. The particles slow down and come closer together
a. The particles speed up and spread apart, in a liquid as it turns into a gas.
How do particles flow in gases and liquids?Particles in liquids are dispersed randomly across the container and are relatively near to one another. Due to the closer proximity of the particles, collisions between them happen more frequently than in gases even if particles are moving quickly in all directions.
What two characteristics separate liquid from gas?A liquid has a fixed shape and volume as opposed to a gas, which is how they differ from one another. While a liquid keeps a consistent volume, a gas adopts the shape of its container. Additionally, gas is more compressible than liquid. This implies that a gas can be compressed into a smaller area than a liquid.
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an airplane flies horizontally at a speed of 351 km/h and drops a crate that falls to the horizontal ground below. neglect air resistance.part (a) if the altitude of the plane was 580 m, then how far, horizontally in meters, did the crate move as it fell to the ground?
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a 20 n force is applied to a 0.5 kg mass at an angle of 60o above the horizontal. find the acceleration of the mass along the smooth horizontal surface.
The acceleration of the mass along the smooth horizontal surface is 20 m/s².
What is acceleration?Acceleration is the rate of change of velocity.
To calculate the acceleration of the mass along the smooth horizontal surface, we use the formula below
Formula:
a = Fcos∅/m.................... Equation 1Where:
a = Acceleration of the massF = Force applied to the massm = Magnitide of the mass∅ = Angle to the horizontalFrom the question,
Given:
F = 20 N∅ = 60°m = 0.5 NSubstitute these values into equation 1
a = (20×cos60°)/0.5a = 20×0.5/0.5a = 20 m/s²Hence, the acceleration of the mass is 20 m/s².
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171) a force of 16.88 n is applied tangentially to a wheel of radius 0.340 m and gives rise to an angular 171) acceleration of 1.20 rad/s2. calculate the rotational inertia of the wheel.
The rotational inertia of the wheel which has a radius of 0.34 m is 4.782 kgm²
The force applied tangentially to the wheel = 16.88 N
The radius of the wheel = 0.340 m
The angular acceleration of the well = 1.20 rad /s²
The rotational inertia can be found using the formula,
I = F x r / α
where I is the rotational inertia
F is the force applied
r is the radius of the wheel
α is the angular acceleration
Let us substitute the known values in the above equation, we get
I = 16.88 x 0.34 / 1.20
= 5.7392 / 1.20
= 4.782 kgm²
Therefore, the rotational inertia is 4.782 kgm²
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