False.
a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.Vectors are quantities that are fully described by magnitude and direction. Not Length!
Answer:
B.) False
Explanation:
Please put my answer as brainlist answer
I hope it helps you
What is an expression for the volume of the following rectangular prism?
For a rectangular prism, the expression volume is calculated as V = l ⋅ w ⋅ h , where l is the length, w is the width, and h is the height of the rectangular prism.
Volume of Rectangular Prism and Surface AreaIt is much simpler to calculate the surface area and volume of a rectangular prism once it is understood that this type of prism is composed of some sets of identical forms.
The volume of a rectangular prism may be calculated by multiplying its length by its breadth by its height. The surface area of a rectangular prism can be calculated by adding the areas of each of its sides.
If you are familiar with the formulas for the surface area and volume of a rectangular prism, it will be much simpler for you to deal with different geometric shapes.
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A workman carries some lumber up a staircase. The workman moves 9. 6 m vertically and 22 m horizontally. If the lumber weighs 45 n, how much work was done by the workman?.
The required work was done by the workman is 432 J.
Define work done by object?Work is the energy exerted by an object as it applies a force to move another object over some distance. For a given amount of force, F, and a given distance, d, the work done on an object is given by the formula W=F⋅d .
We have,
Weight = Force due to gravity = -45j N
Total displacement = 22i + 9.6j Meter
Now,
Work done by gravity = -F.d = Work done by man
W = -45j(22i + 9.6j ) J
W = -45( 9.6) = -432 J
Thus, work done by man is 432 J
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Please Help! Show all work, please! Thank you!
70!! points!
The Kinetic energy will be 19663 J that is approximately 2.0 × 10³ J option B.
What precisely is kinetic energy?An object or particle has kinetic energy because of its motion. When an item undergoes work—the transfer of energy—by being subjected to a net force, it accelerates and acquires kinetic energy. It's SI unit is Joules.
Given, mass of the car, m = 1400 kg
velocity of the car= 5.3 m/s
by applying the formula ,Kinetic Energy = 1/2×mass×velocity²
K.E. = 1/2×1400×(5.3)²
K.E = 700×28.09
K.E. = 19663 J ≈ 2.0 × 10³ J
The Kinetic energy will be 19663 J that is approximately 2.0 × 10³ J.
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A peanut burned in a calorimeter transfers 18,200 joules to 100.0 g of water. What is the rise in the water's temperature
The rise in the water's temperature, given that 18200 joules was transferred to the 100.0 g of water is 43.5 °C
How do I determine the temperature rise of the water?Heat transferred I related to temperature rise by the following formula:
Q = MCΔT
Where
Q is the heat transferred M is the mass C is the specific heat capacity ΔT is the temperature riseWith the above formula, we can determine the temperature rise as illustrated below.
The following data were obtained from the question:
Heat transferred (Q) = 18200 JoulesMass of water (M) = 100.0 gSpecific heat capacity of water (C) = 4.184 J/gºC Temperature rise (ΔT) =?Q = MCΔT
18200 = 100 × 4.184 × ΔT
18200 = 418.4 × ΔT
Divide both sides by 418.4
ΔT = 18200 / 418.4
ΔT = 43.5 °C
Thus, we can conclude from the above calculation that the temperature rise of the water is 43.5 °C
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after a day of testing race cars, you decide to take your own 1560 kg car onto the test track well moving down the track at 10 m/s. You suddenly accelerate to 27 m/s in eight seconds. What is the average net force that you have applied to the car during the eight second interval?
The force applied to the car of mass 1560 kg is 1365 N.
What is force?Force is the product of mass and acceleration.
To calculate the force applied to the car, we use the formula below.
Formula:
F = m(v-u)/t............................ Equation 1Where:
F = Forcem = Massv = Final velocityu = Initial velocityt = TimeFrom the question,
Given:
m = 1560 kgv = 27 m/su = 10 m/st = 8 sSubstitute these values into equation 1
F = 1560(27-10)/8F = 1560×7/8F = 1365 NHence, the force applied is 1365 N.
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Identify a form of pollution that you observe in your community
An example could be land pollution, like when you see garbage and plastic littered across the grass/sidewalk
A 1000 kg go-kart is moving at a constant speed of 23 m/s. How much kinetic energy does it have?
The kinetic energy possesed by a 1000kg go-cart that is moving at a constant speed of 23 m/s is 264,500J.
How to calculate kinetic energy?Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.
Kinetic energy of a body can be calculated using the following formula;
K.E = ½mv²
According to this question, a 1000kg go-cart is moving at a constant speed of 23m/s. The kinetic energy of the cart can be calculated as follows:
K.E. = ½ × 1000 × 23²
K.E. = 500 × 529
K.E. = 264,500J
Therefore, 264,500J is the kinetic energy of the go-cart.
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Elements are arranged in the periodic table based on various patterns. For example, the element magnesium (mg).
Elements are arranged in the periodic table based on various patterns. For example, the element magnesium (Mg) A. has a higher atomic mass than the element sodium (Na). Option C is correct.
Describe the periodic table.The known elements are arranged in the periodic table in increasing atomic number order and repeating chemical properties.
They are arranged in a tabular fashion, with each row denoting a certain era and each column denoting a particular group.
The elements are arranged in ascending atomic number sequence from top to bottom and left to right.
Elements belonging to the same group will have similar chemical properties because they will have the same valence electron configuration.
The periodic table's arrangement of elements follows a number of different patterns. For instance, sodium (Na) and magnesium (Mg) both have higher atomic masses (Na).
As a result, choice C is accurate.
Your question is incomplete but most probably your full question was Elements are arranged in the periodic table based on various patterns. For example, the element magnesium (Mg) has
a. a higher atomic mass than the element calcium (Ca).
b. has a lower atomic mass than the element beryllium (Be).
c. has a higher atomic mass than the element sodium (Na).
d. all of these
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What is the formula of magnetic field?
The formula for magnetic field is B = μo(H + M).
The magnetic field of a magnet is the area around it in which a magnetic force is exerted. It is represented by the symbol B and follows the equation B = μo(H + M).
Here, μo is the permeability of free space, H is the magnetic field intensity and M is the magnetization.
The magnetic field can be measured by a variety of instruments such as a Hall probe or a flux meter. It can also be calculated using mathematical models such as the Biot-Savart law or Ampère's law.
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A hockey puck (0.50 kg) is in contact with the stick for 0.2 seconds. If the force on the hockey puck is 25 N, what is the change in speed of the hockey puck?
The change in speed of the hockey pack is 10m/s.
How to calculate speed?Speed refers to the rate of motion or action, specifically the magnitude of the velocity; the rate distance is traversed in a given time.
The speed of an object can be calculated using the following formula:
F = m × (v/t)
where;
"m" is the mass of the object"v" is the desired velocityt = timeAccording to this question, a hockey puck (0.50 kg) is in contact with the stick for 0.2 seconds. If the force on the hockey puck is 25 N, the speed can be calculated as follows:
25 = 0.5 × (v/0.2)
25 = 2.5v
v = 10m/s
Therefore, 10m/s is the change in the speed of the hockey pack.
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how potential difference varies in a parallel circuit versus a series circuit.
Answer:
A variable amount of current travels through each parallel branch of the circuit in a parallel circuit. Each component in a series circuit has a separate voltage across it. The same voltage is present across all of the circuit's components in a parallel circuit, though.
Explanation:
A single raindrop illuminated by sunshine disperses:
A single raindrop illuminated by sunshine disperses the white light into seven colors spectrum.
A white sunlight consists of seven different color components. These color components have different wavelength. The speed of different components is different when they passes through an optically denser medium(e.g.: prism). So each color component gets bent by a certain amount thus causing dispersion.
A raindrop acts like a prism for the sunshine. When a light ray passes through a rain drop, it splits into seven color component which is known as the dispersion of light.
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calculate the work done when a 50 kg object is lifted 5 meters. work energy theorem and coe w=fd
The image of your face will be located 66.5 cm behind the front surface of the Christmas tree ball.
What is surface?Surface is the outer layer of a physical object, such as a planet or a star. It is also the top layer of an object, such as the ground or a body of water. Surface can refer to the interface between two objects, such as the atmosphere and the ocean, or the interface between two materials, such as the air and the ground. The term can also refer to the top layer of a material, such as the skin of a human or the bark of a tree. In some cases, surface can refer to the way a material or object looks or feels, such as the smoothness of a rock or the texture of a fabric.
This is because of the principles of spherical mirrors; the image is located twice the distance behind the mirror as the object is in front of it. Therefore, the distance between your face and the image of your face is 58.0 cm (29.0 cm + 66.5 cm). The answer is expressed to two significant figures, and the appropriate units are included.
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Explain why it is important to identify the health risks in your life
Knowing the risks you and your family may face can help you find ways to avoid health problems.
What is health risk?Health risk can be defined as the chance or likelihood that something will harm or otherwise affect your health. health risk is something that increases your chance of developing a disease.
The main health risk are :
Physical Activity and NutritionOverweight and ObesityTobaccoSubstance AbuseHIV/AIDSMental HealthInjury and ViolenceEnvironmental QualityTherefore knowing the risks and benefits of a medical treatment can help you and your doctor make informed decisions and It can also keep you from fretting over unlikely threats.
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Two asteroids in space are 67,000m apart. One of the asteroids has a mass of 34,000kg and the other has a mass of 15,000kg. What is the force between them. In order to earn all credit show all your work.
Answer: The force between the two asteroids is 2.25 x 10^-5 N. ✅
PLEASEEEE GIVE BRANLIEST
Explanation:
The force between two objects in space can be calculated using the formula:
F = G * (m1 * m2) / r^2
Where:
F = force between the two objects
G = gravitational constant (6.67 x 10^-11 Nm^2/kg^2)
m1 = mass of object 1
m2 = mass of object 2
r = distance between the two objects
So, in this case:
F = 6.67 x 10^-11 Nm^2/kg^2 * (34000 kg * 15000 kg) / (67000 m)^2
To calculate the force between the two asteroids, we need to substitute the values for m1, m2, and r into the formula.
F = 6.67 x 10^-11 Nm^2/kg^2 * (34000 kg * 15000 kg) / (67000 m)^2
F = (2.25 x 10^-5 N)
So the force between the two asteroids is 2.25 x 10^-5 N.
a pulse covers a distance of 5m in 15seconds . Calculate the sped of the pulse.
According to the question the speed of pulse is = 0.33m/s
What does "speed" in science mean?Velocity is the pace and direction of either an object's movement, whereas speed is now the time rate which an object is travelling along a path. In other words, velocity is a vector, whereas speed would be a scalar value. If you determine how far an object travels in a certain amount of time, you can calculate its speed.For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour .
How is speed measured?The equation for speed can be obtained by simply dividing time by distance.
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A 400 Kg truck rushing through the street at 20 m/s crashes into a 50 Kg car making a turn at 2 m/s. The car is bounces off the bottom of truck at 142 m/s, what is the final velocity of the truck?
According to the given statement 2.5 m/s is the final velocity of the truck.
What is velocity vs speed?Velocity is the pace and path of an item's movement, whereas speed is really the time rate that a object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number. as the pace of a car driving south on a highway or the pace at which a rocket takes off.
Calculation :Collision energy equals collision energy before collision
Afterward, we would have;
(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)
8000 + 100 = 7100 + 400v
8100 - 7100 = 400v
v = 1000/400
v = 2.5 m/s
According to our estimation, the velocity is 2.5 m/s.
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According to the given statement 2.5 m/s is the final velocity of the truck.
What is velocity vs speed?Velocity is the pace and path of an item's movement, whereas speed is really the time rate that a object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number. as the pace of a car driving south on a highway or the pace at which a rocket takes off.
Explanation of the above answer:Collision energy equals collision energy before collision
Afterward, we would have;
(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)
8000 + 100 = 7100 + 400v
8100 - 7100 = 400v
v = 1000/400
v = 2.5 m/s
According to our estimation, the velocity is 2.5 m/s.
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A 2250 kg cartraveling to the east slows down uniformly from 20 m/s to 5 m/s. How long does it take to decelerate if the braking force is 7500 N to the west?
A. 3 seconds
B. 4.5 seconds
C. 6 seconds
D. 7.5 seconds
The time taken for the car to decelerate is 4.5 seconds.
option B.
What is the acceleration of the car?
The acceleration of the car is calculated from Newton's second law of motion as follows;
F = ma
a = F / m
a = ( 7500 ) / ( 2250 )
a = 3.33 m/s²
The time taken for the car to slow down is calculated as follows;
v = u + at
at = v - u
t = ( v - u ) / a
where;
v is the final velocity u is the initial velocityt = ( 20 - 5 ) / 3.33
t = 4.5 seconds
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A 3.2 kg rock is initially at rest at the top of a cliff. Assuming the rock falls into the sea at the foot of the cliff and that its kinetic energy is transferred entirely to the water, how high is the cliff if the temperature of 1.00 kg of water is raised 0.10°C? (Neglect the heat capacity of the rock.)
At the base of the cliff, a boulder falls into the water, transferring all of its kinetic energy to the ocean. The cliff must be 14.6 meters high.
What are some instances of kinetic energy?Kinetic energy, which may be seen in the movement of an item or subatomic particle, has been the energy of motion. Example of angular momentum in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a chargeable particle inside of an electric field.
mass of rock m_r = 3.0Kg
mass of water is m_w = 1.0Kg
temperature variation ΔT= 0.10°C
heat of water C_W = 4186 J/Kg °C
gravity g=9.8 m/sec^2
the expression for height,
mrgh = K
h = K/(mrg)
Evaluating numerically.
h = K / (mr g)
h = (418.6 J)/(3.2Kg⋅9.8 m/sec^2 )
h = 14.6 m
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A parcel is traveling on a horizontal conveyer belt moving at 1 meter/second. At the end of the conveyor belt, the parcel lands on a tray after 1 second. Calculate the horizontal and vertical distance of the tray from the end of the conveyor belt.
A parcel is traveling on a horizontal conveyer belt moving at 1 meter/second. At the end of the conveyor belt, the parcel lands on a tray after 1 second. The horizontal distance is 1 meters and vertical distance of the tray from the end of the conveyor belt is 4.9 meters.
The conveyer belt's horizontal speed is 1 m/s.
The parcel settles on a tray at the end of the conveyor belt after 1 second. Finding the tray's horizontal and vertical distance from the conveyor belt's end is necessary.
D = v x t for horizontal distance
D= 1x1
d = 1 meter
Utilize the second equation of motion as follows for vertical distance:
s= ut+1/2gt²
Initially vertical velocity is zero
s= ut+1/2gt²
s = 0+1/2 9.8 x(1)²
S=4.9 meters.
Therefore, the tray is 1 meters and 4.9 meters away from the end of the conveyor belt, respectively, in both the horizontal and vertical directions.
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Jet streams are associated with fronts because of the:
Due to the significant temperature gradient, jet streams are connected to fronts.
The upper-level winds' wave-like or meandering behavior in the middle latitudes is crucial for moving heat between the equator and poles.The cold front itself frequently brings a thin band of precipitation that travels along its leading edge. Strong bands of precipitation such as these have the potential to produce tornadoes, severe thunderstorms, hailstorms, snow squalls, and other severe weather. The correct response is "moisture and variations in air pressure." An air mass boundary, such as that between warm and cold air, is represented by a front. A cold front exists when cold air is moving toward warm air. However, if a warm air mass is advancing and a cold air mass is retreating.To know more about jet streams here
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i'm behind a car and wish to pass so you turn to the left and pull into the passing lane without changing speed why does the distance increase between you and the car you're following
Since the component of your velocity along the road decreased slightly as there was a component across the road when you changed lanes, the distance increased.
Which element, which disrupts attention, raises risk when driving a car?Driving while distracted might raise the likelihood of a car accident. Distractions include anything that diverts your focus from operating a vehicle. Distracted driving includes a variety of activities, including as texting, chatting on the phone, using a navigation system, and eating while operating a vehicle.On the left, overtake traffic. Only when the open roadway is clearly signposted for two or more lanes of traffic in your direction are you allowed to pass on the right. You do not drive off the road to pass the vehicle in front of you when they are making a left turn.To learn more about velocity refer to:
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ice crystals that form by accretion are fairly large. explain why they fall slowly.
Ice crystals that form by accretion are fairly large, they fall slowly because of there high surface area to volume ratio, which cause high air resistance.
Ice crystals that form by accretion are large and have a high surface area to volume ratio. This high surface area causes more air resistance, which slows their fall. The larger the surface area, the more air resistance there is, and the slower the crystals fall. Additionally, the shape of the crystals can also affect their fall speed, with more irregular shapes experiencing more air resistance and thus falling slower. Ice crystals are the building blocks of snowflakes and have a well-defined and ordered internal structure. The structure of an ice crystal depends on the conditions under which it forms, such as temperature and humidity. At very cold temperatures, the crystals are usually simple hexagonal structures, while more complex branching structures can form at warmer temperatures.
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Two freight cars, each with a mass of 2.3 ✕ 105 kg, collide and stick together. One was initially moving at 3.2 m/s and the other was at rest. What is their final speed?
It is also commonly abbreviated as ms−2. For example, if the velocity of a particle moving in a straight line changes uniformly (at a constant rate of change) from 2 m/s to 5 m/s over one second, then its constant acceleration is 3 m/s2.
How to find a final speed?A change in velocity that does not alter over time is referred to as a constant acceleration. A car's average acceleration stays constant at 20 mph per minute even if it increases its speed by 20 mph in one minute and another 20 mph the next. In other words, if an object is falling freely on Earth, gravity will cause it to accelerate (or move faster) by 9.81 metres every second. Gravity actually is constant throughout space. If an object travels the same distance at the same rate and does not change its direction, its velocity is constant. The item experiences acceleration whenever there is a change in velocity. Therefore, whenever the velocity's size or direction.To learn more about final speed refer to:
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In which digestive organ does the majority of lipid digestion and absorption occur?
The digestive organ that the majority of lipid digestion and absorption occur is the small intestine.
What is the small intestine?The small intestine is a part of the digestive system that is made up of the duodenum, jejunum, and ileum. It is the part of the digestive system that will follow the stomach.
This part of the intestine will be in charge mainly of the digestion of lipids, this process will begin in the mouth and in the stomach but then the digestion will take place in the small intestine with the help of lipase enzymes which will break the lipid molecules. After this process happens, the absorption of the lipids that will travel through circulation and go throughout the body will take place.
Therefore, we can confirm that the digestive organ that the majority of lipid digestion and absorption occur is the small intestine.
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Describe an experiment to investigate the relation between efficiency and load using a block and tackle pulley system.
Answer:
An experiment to investigate the relationship between efficiency and load using a block and tackle pulley system could be set up as follows:
1.Set up a block and tackle pulley system, with a fixed pulley at the top and a movable pulley at the bottom. The pulleys should be mounted on a sturdy frame, and the rope should be of a known length and thickness.
2.Attach a weight to one end of the rope, and a load cell to the other end. The load cell will measure the force applied to the rope.
3.Record the weight of the load and the force applied to the rope using the load cell.
4.Measure the distance the load is raised, and record this distance.
5.Repeat steps 3 and 4 for different loads, increasing the weight of the load in increments of, for example, 5 kg.
6.Calculate the efficiency of the pulley system for each load by dividing the work output by the work input and multiplying by 100. The efficiency of the system can be calculated as follows: Efficiency = (Work out / Work in) * 100.
7.Plot a graph of efficiency against load, and observe the relationship between the two variables.
8.Repeat the experiment with different pulley systems, such as a single pulley system and a double pulley system and compare the results.
9.Record the results and any observations and Analyze the data and make conclusions about the relationship between efficiency and load in a block and tackle pulley system.
A ball is attached to the end of a string. It is swung in a vertical circle of radius 0.90 m. What is the minimum velocity that the ball must have to make it around the circle?
Moving in a vertical circle If the distance is calculated using a fixed point, it will be the same everywhere. The ball needs to travel around the circle at a minimum speed of 44.1 m/s.
What is called velocity?The vectorial expression of velocity is the movement in space-time of an object or particle. The recognised unit of velocity magnitude is the metre per second (m/s) (also known as speed). The rate of speed can also be expressed in centimetres per second (cm/s). The pace at which an object's location changes as seen from a certain angle and as stated by a specific time unit (for example, 60 km/h northbound) is measured by its velocity, which is the direction in which it is travelling.
What is velocity in physics?As a physical vector quantity, velocity must have a specified magnitude and direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or ms1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). A vector is "5 metres per secon.
The vertical circle has a radius of 0.90 metres.
As the ball rotates vertically and continuously in a circular motion. As a result, the ball will move at the same speed at each point.
Consequently, the centripetal force ought to be constant at each location, that is,
mv2/R
Here, m stands for mass. R is the radius, and v is the speed.
The tension operating on the ball (towards the centre) and the gravitational force acting on it counteract this centripetal force. Thus,
mv2/R=T+mg
The tension should be zero for the minimal velocity. Thus,
mv2/R=mg
Simplify it as,
V2/R=g
V=√Rg
Assume that V is the initial velocity.
1/2mv2=mg(2R)+1/2m(√(gR^2 )
V=√5gR
G's squared value is 9.8 m/s. The ball must therefore move at a minimal speed in order to complete the circle:
V=5×9.8×0.90
V=44.1m/s
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in science, what is occurring when two atoms collide to form a larger atom?
Answer: Fusion
Explanation:
This is the process when two atoms collide and combine to make a bigger atom.
a truck hits a brick wall with a force of 100 000 kg m/s2. the truck comes to a stop in 0.5 s. calculate the impulse the truck experienced
Answer:
[tex]\huge\boxed{\sf I = 50,000\ Ns}[/tex]
Explanation:
Given data:Force = F = 100,000 N
Time = t = 0.5 s
Required:Impulse = I = ?
Formula:I = F × t
Solution:I = 100,000 × 0.5
I = 50,000 Ns
[tex]\rule[225]{225}{2}[/tex]
I need help, It would be lovely if someone could explain this to me
The kinematic equation of motion used to find the time, velocity, and acceleration of the motion in the questions are as follows;
8. The time it takes the runner to get to full speed is 5 seconds
9. The acceleration is 166.[tex]\overline{6}[/tex] m/s²
10. The initial velocity is 550 m/s
11. It takes the sketer 8 seconds
12. The acceleration of the fan is -6·π rad/s²
13. The speed with which the zebra hits the ground is 98 m/s
14. The acceleration of the school bus is -100 m/s²
15. 5 seconds ago the velocity of the jet was 4250 m/s
What are the kinematic equations of motion?The kinematic equations of motion are;
v = u + a·t
s = u·t + (1/2)·a·t²
v = u + 2·a·s
Where;
v = The final velocity
u = The initial velocity
s = The distance
t = The time of the motion
a = The acceleration
8. The runner's rate of acceleration = 2 m/s²
The runner's top speed = 10 m/s
The required kinematic equation is; t = (v - u)/a
Where;
t = The time duration
a = The acceleration = 2 m/s²
v = The final velocity = The runner's top speed = 10 m/s
u = The initial velocity of the motion = 0 (assumption that the runner starts from rest)
Therefore;
t = (10 - 0)/2 = 5
It takes the runner 5 seconds to get up to full speed9. The speed of the bullet when it hits the bystander, v = 250m/s
The time at which the bullet was shot out of the high powered rifle, t = 1.5 seconds
The initial velocity of the bullet, u = 0m/s (The bullet is initially at rest in the gun)
The acceleration, a = (v - u)/t
Acceleration = (250 - 0)/1.5 = 166.[tex]\overline{6}[/tex]
The acceleration of the bullet is 166.[tex]\overline{6}[/tex] m/s²10. The acceleration of the person as he falls, a = 10 m/s²
The speed at which the person was travelling as he hits the ground, v = 600 m/s
Time after which the person hits the ground, t = 5 seconds
v = u + a·t
u = v - a·t
Therefore; u = 600 - 10 × 5 = 550
The initial velocity of the person is 550 m/s11. The acceleration rate, a = 2 m/s²
Initial velocity, u = -6m/s
Final velocity, v = 10m/s
t = (10 - (-6))/2 = 8
The time it takes the skater is 8 seconds12. The initial angular velocity of the fan, ω₁ = 9 rev/sec
1 rev = 2·π rad, therefore;
ω₁ = 2·π × 9 rad/s = 18·π rad/s
The time after which the fan stops, Δt = 3 seconds
The final angular velocity of the fan, ω₂ = 0
The angular acceleration of the fan, α = (ω₂ - ω₁)/Δt
Therefore; α = (0 - 18·π)/3 = -6·π
The acceleration of the fan is -6·π rad/s²13. The time it takes the zebra to hit the ground = 10 seconds
The acceleration due to gravity, g = 9.8 m/s²
The initial velocity of the zebra, u = 0 m/s
Therefore;
The velocity with which the zebra hits the ground, v = 9.8 × 10 = 98
The zebra hits the ground moving at 98 m/s
14. Initial speed of the school bus, u = 50 m/s
The time it takes the school bus to come to rest = 0.5 seconds
The acceleration. a = (0 m/s - 50 m/s)/(0.5 s)) = -100 m/s²
15. The acceleration of the jet = 150 m/s²
Current velocity of the jet = 5000 m/s
The initial speed of the jet, u, 5 seconds ago is therefore;
u = 5000 - 150 × 5 = 4250
The initial speed of the jet 5 seconds ago is 4250 m/s
Learn more about the kinematic equations of motion here: https://brainly.com/question/14356122
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