A steel cable supports an actor as he swings onto the stage, the weight of the actor stretches the steel cable, to describe the relationship between stress and strain for the steel cable, you would use Young's modulus. Correct answer: letter B.
Young's modulus is used in this statement because it is a measure of the stiffness of a material. The steel cable is stretched by the actor's weight, and the amount of stretch is related to the tension in the cable and the Young's modulus of the steel.
Which is Young's modulus?Is a measure of the stiffness of a material. It is defined as the ratio of the stress to the strain, and it is a measure of the ability of a material to resist deformation under load.
Therefore, when an actor's weight stretches a steel cable, the cable experiences tension. The amount of stress experienced by the steel cable is directly proportional to the amount of strain experienced by the steel cable. This relationship is described by Young's modulus.
A steel cable supports an actor as he swings onto the stage. The weight of the actor stretches the steel cable. To describe the relationship between stress and strain for the steel cable, you would use?
Group of answer choices:
a) both shear modulus and bulk modulus.
b) Young's modulus
c) bulk modulus.
d) shear modulus
e) both Young's modulus and bulk modulus.
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A projectile is launched horizontally from a height of 65 meters with an initial horizontal speed of 35 meters per second. What is the projectile's horizontal
speed after it has fallen 25 meters? [Neglect friction.]
Answer: 35 m/s
Explanation: Gravitational acceleration only affects the vertical component of motion meaning the horizontal component never changes. This means 35 m/s is the correct answer.
A projectile is fired horizontally at an initial horizontal speed of 35 meters per second from a height of 65 meters, after falling 25 meters, the projectile's horizontal speed is 35 m/s.
What is speed?
The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar number.
Speed is calculated using the formula s=d/t, where s is the speed in m.s⁻¹, d is the distance in m, and t is the time in s.
Variable speed is when an object travels a different distance at the same time intervals, whereas uniform speed is when an item travels the same distance at the same time intervals.
Therefore, after falling 25 meters, the projectile's horizontal speed is 35 m/s.
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how does energy cost per mile relate to body mass? group of answer choices it increases proportionately with body mass the two are unrelated it decreases proportionately with body mass energy cost per mile remains constant
It increases proportionately with body mass in this way energy cost per mile relate to body mass.
An individual's height and weight are used to calculate their body mass index. The body mass index (BMI) is calculated by dividing the body weight in kilograms by the square of the height in meters. It is expressed in kilograms per square meter (kg/m2) and is a function of both height and weight. Weight in kilograms divided by height in meters squared yields the Body Mass Index (BMI) of a person. High levels of body fat may be indicated by a high BMI. A person's body mass index (BMI) does not provide a diagnosis of their health or body fatness; rather, it is a screening tool for weight categories that may cause health issues. Based on your height, weight, and BMI, you can calculate your body fat percentage. BMI measurements are widely regarded by doctors as an easy way to assess a person's weight and determine whether they are overweight or underweight, or whether they are healthy.
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Consider a level flight turn of a propeller-driven airplane in which the airplane makes a complete circular turn in 1.8 min. If the plane's speed is 160 m/s, what is the radius of the circle? What is the centripetal acceleration of the plane?
1. The radius of the circle is 2758.6 m
2. The centripetal acceleration of the plane is 9.28 m/s²
1. How do I determin the radius of the circle?
To obtain the radius, we'll begin by obtaining the angular velocity. This can be obtained a follow:
Period (T) = 1.8 mins = 1.8 × 60 = 108 sPi (π) = 3.14Angular velocity (ω) =?ω = 2π/ T
ω = (2 × 3.14) / 108
ω = 0.058 rad/s
Finally, we shall determine the radius. This is shown below:
Velocity (v) = 160 m/sAngular velocity (ω) = 0.058 rad/sRadius (r) =?r = v / ω
r = 160 / 0.058
r = 2758.6 m
Thus, the radius is 2758.6 m
2. How do I determine the centripetal acceleration?
The centripetal acceleration can be obtained as illustrated below:
Velocity (v) = 160 m/sRadius (r) = 2758.6 mCentripetal acceleration =?Centripetal acceleration = v² / r
Centripetal acceleration = (160)² / 2758.6
Centripetal acceleration = 9.28 m/s²
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An electric kettle has a power rating of 2000W. It takes 90 seconds to heat 500g water from 20 degree celsius to boiling. Use this information to calculate approximate value for the specific heat capacity of water.
The approximate value for the specific heat capacity of water. is 4.2857 CGS unit.
What is specific heat capacity?The quantity of heat energy needed to raise a substance's temperature per unit of mass is known as specific heat capacity. A material's specific heat capacity is a physical characteristic. Since its value is inversely correlated with the size of the system under study, it is also an illustration of an extended feature.
An electric kettle has a power rating of 2000W means the kettle consumes 2000 joule in one second.
So, In 90 seconds, it provide heat = 2000×90 joule
= 180000 joule
= 42857 calorie.
To heat 500g water from 20 degree Celsius to boiling, heat required = 500×s×20 caloric
=10000s caloric.
Where, s = specific heat of water.
So,
10000s = 42857
⇒ s = 4.2857.
Use this information to calculate approximate value for the specific heat capacity of water. is 4.2857 CGS unit.
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if observations of supernovae in other galaxies show that such an explosion happens in a spiral galaxy like the milky way on average every 25 to 100 years, why have astronomers on earth not seen a supernova explosion in our galaxy since 1604?
Our galaxy's disk is heavily covered in dust, which tends to obstruct the light from supernova explosions in our galaxy's more distant regions.
It's a result of length, dust, and bad luck. Numerous astronomers from all over the world have remarked that the last supernova to be documented in any form of trustworthy source occurred in 1604.
It is noticed that a star with a mass similar to the Sun that is on the verge of dying is surrounded by a significant amount of dust and gas, which is stuff it has released during the last stages of its existence.
What is galaxy?
A galaxy is a vast assemblage of gas, dust, and countless stars and stars and planets. Gravity is what holds a galaxy around each other. A supermassive black hole also resides in the center of our galaxy, the Milky Way. You see additional stars in the Milky Way as you glance at the night sky for stars.
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Our galaxy's disk is heavily covered in dust, which tends to obstruct the light from supernova explosions in our galaxy's more distant regions.
What is galaxy?
A galaxy is a vast assemblage of gas, dust, and countless stars and stars and planets. Gravity is what holds a galaxy around each other. A supermassive black hole also resides in the center of our galaxy, the Milky Way. You see additional stars in the Milky Way as you glance at the night sky for stars.
It's a result of length, dust, and bad luck. Numerous astronomers from all over the world have remarked that the last supernova to be documented in any form of trustworthy source occurred in 1604. It is noticed that a star with a mass similar to the Sun that is on the verge of dying is surrounded by a significant amount of dust and gas, which is stuff it has released during the last stages of its existence.
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What should be the minimum power of a generator supplying 220V to simultaneously supply the following appliances: 1 fridge 1500W, 3 halogen lamps 500W, 1 electric coffee maker 1600W?
☐ 1,8 KVA
☐ 3,3 KVA
☐ 5 KVA
☐ 7,5 KVA
The minimum power of the generator to power 1 fridge, 3 halogen lamps, and 1 electric coffee maker simultaneously must be 5 KVA.
What is electric power?
Electric power can be defined as the measurement of electric energy flowing in the electric circuit per second.
The electric power consumed by the appliances is given as;
1 fridge = 1500 W3 halogen lamps = 500 W each1 electric coffee maker = 1600 WThe total electric power consumed by the appliances is calculated as follows;
total electrical power consumed = 1500 W + 3(500 W) + 1600 W
total electrical power consumed = 1500 W + 1500 W + 1600 W
total electrical power consumed = 4,600 W
total electrical power consumed = 4.6 kW = 4.6 kVA
electrical power consumed ≈ 5 kW = 5 KVA
Thus, the minimum electrical power to be generated to power all the given appliances simultaneously must be at least 5 KVA.
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If Mrs. Hankinson slides a 500 g book with 0.5 N of force, what is the acceleration of the book?
F = ma
A. 1000 m/s²
B. 500 m/s²
C. 250 m/s²
Answer: a = 1.0 m/s2
Explanation:
F = ma
a = F/m = 0.5 N / 0.5 kg = 1 m/s2
You have to convert g to kg
500g = 0.5 kg = 1.0 m/s2
The correct answer is not shown in A, B or C!
the radius of a sphere decreases at a rate of 6 m/sec. find the rate at which the surface area decreases when the radius is 20 m. recall that the surface area of a sphere of radius r is given by s
The rate at which the surface area decreases is -960 π m²/sec.
The surface area of a solid object is a measure of the entire vicinity that the floor of the object occupies. the distance occupied by means of a -dimensional flat surface is known as the area. it is measured in square devices. The location occupied through a three-dimensional item by using its outer surface is referred to as the surface place. it is also measured in square units.
The surface area is the full area included via all the faces of a 3D object. as an example, if we want to find the amount of paint required to paint a cube, then the floor on which the paint might be carried out is its surface vicinity. it is continually measured in rectangular units.
calculation:-
Given,
The radius of the sphere decreases at the rate of 6 m/ sec
mean dx/dt = -6
The surface area of the sphere of radius r is = 4πr²
Differentiating with respect to t,
dS/dt = 4π(2r)dx/dt
= 8πr dx/dt
dS/dt = 8π(20)²(-6)
= -960 π m²/sec
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caleb is driving at a speed of 20.5 m/s when he sees a deer on the road ahead. he applies the brakes when he is a distance of 213 m from the deer. if the deer does not move and the car stops right before it hits the deer, what is the acceleration provided by the brakes?
The acceleration provide by the car is 1.26m/s².
What is acceleration?
The rate of change in both speed and direction of velocity over time is defined as acceleration. when anything moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is always shifting, motion on a circle accelerates even when the speed is constant.
What is speed?
As opposed to speed, velocity describes the rate and direction of motion of an object moving along a path.
Given, u= 23m/s
v=0
s=210m
A=?
using the equation of motion from the context section we get
v²=u²-2as
0=u²-2as
u²=2as
a=u²/2s
a=23²/2*210
a= 1.26m/s²
The answer is deacceleration of the car is 1.
Therefore, the acceleration provide by the car is 1.26m/s².
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weather balloon is designed to expand to a maximum radius of 20 m at its working altitude, where the air pressure is 0.030 atm and the temperature is 200 k. if the balloon is filled at atmospheric pressure and 300 k, what is its radius at liftoff?
The radius at liftoff is 6.83 m
What is an ideal gas?
A theoretical gas called an ideal gas is one that has lots of point particles flying around arbitrarily and not being affected by other particles.The ideal gas law, also known as the perfect gas law, is a relationship between a gas's pressure P, volume V, and temperature T in the range of low pressures and high temperatures where the gas's molecules move virtually independently of one another. In this situation, the ideal gas law, a state equation for all gases, holds true:PV = nRT
The universal gas constant, R = 8.31446261815324 joules per kelvin per mole, and the number of moles of the gas, n,
Given in the question the following informations:
P1 = Initial pressure = 0.03 atm
P2 = Final pressure = 1 atm
r1 = Inital radius = 20 m
V1 = Intial volume of gas = 4/3 x 3.14 x r1^3
V2 = Final volume of gas = 4/3 x 3.14 x r2^3
T1 = Initial temperature = 200 K
T2 = Final temperature = 300 K
Let the radius at the liftoff be r2
From ideal gas law we have
P1V1/T1 = P2V2/T2
P1V1T2 = P2V2T1
P1 x 4/3 x 3.14 x r1^3 x T2 = P2 x 4/3 x 3.14 x r2^3 x T1
P1 x r1^3 x T2 = P2 x r2^3 x T1
r2^3 = P1 x r1^3 x T2 / P2 x T2
= 0.03 x 20 x 20 x 20 x 300/ 1 x 200
= 360 m
r2 = 6.83 m
Hence, The radius at liftoff is 6.83 m
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by simplifying and solving the continuity, momentum, and energy equations, determine the maximum temperature and where it occurs. the maximum temperature is
The maximum temperature is the temperature gradient profile.
Temperature is a measure of the average kinetic energy of the particles in the sample. There is no absolute maximum for temperature because there is no upper limit for kinetic energy. When the sun sets, the radiation from the sun and the radiation from the earth are balanced, the temperature stops rising, and we see the highest temperature of the diurnal cycle.
Use a special thermometer to measure maximum and minimum temperatures. It's called a maximum-minimum thermometer. Used in meteorology horticulture etc. to record temperature extremes in a location. The temperature difference is the difference between the maximum and minimum temperatures of a day. High and low temperatures are measured with thermometers attached to a slitted wooden box called a Stevenson sieve.
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is there a net force on th eloop of wire from the magnetic field interacting with the current segments?
The magnetic field's interaction with the current segments does not result in any net force being applied to the wire's elope. A force is an influence that has the power to change how a body moves.
An electric charge, an electric current, and magnetic field's are all affected magnetically by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field.
An influence that can alter an object's motion is called a force. A force can cause an object with mass to change its velocity, or accelerate (for example, moving from a state of rest).
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two blocks are sliding on a frictionless surface. eventually, the smaller block catches up with the larger one, collides with it, and sticks. what is the speed of the two blocks after the collision?
When two blocks are sliding on a frictionless surface ,Then speed of the two blocks after the collision is 2V.
What is a frictionless surface?A Frictionless surface refers to that kind of surface where the force acting on any object which makes it difficult for the object to slide is almost zero or negligible,
As per the given data
The mass of smaller box= m and velocity =v
And the mass of larger box =M and velocity =V
So the momentum ps=mv and pL= MV
And combined mass of both the boxes will be M+m
Hence the combined velocity after collision = Momentum of combination/Mass of combination
V=MV+mv/M+m
Then V =V+v
V=2V
Hence, When t wo blocks are sliding on a frictionless surface ,Then speed of the two blocks after the collision is 2V.
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When two lamps are connected in parallel to a battery, the electrical resistance that the battery senses is?
Answer:
Explanation:
Parallel resistance:
R = R₁·R₁ / (R₁ + R₁)
A projectile fired from ground level with a speed of 20ms-¹ just missed the top of a pole 5.2m high.calculate the angle of projection with the respect to the ground [g=10ms-²]
Answer:
Explanation:
Given:
V₀ = 20 m/s
H = 5.2 m
g = 10 m/s²
___________
α - ?
H = V₀²·(sin α)² / (2·g)
V₀²·(sin α)² = 2·g·H
(sin α)² = 2·g·H / V₀²
sin α = √ (2·g·H) / V₀
sin α = √ (2·10·5.2) / 20 ≈ 0.5
α = 30°
Your friend says that for a moving object to continue moving, a force must be continually applied to it. Do you agree with your friend? Explain your answer. Answer in complete sentences.
Answer:
I would disagree with my friend because that according to Newton's first law, an object in motion will continue to be in motion until stopped by another object/force. If the object is already moving, it will stay in motion until something else stops it. There is no need for a force to be continually applied to it while it's already moving.
what methods did the german government take to encourage the expansion of solar power?
Feed-in tariffs methods was used by german government to encourage the expansion of solar power.
A feed-in tariff is an energy policy focused on supporting the development and dissemination of renewable power generation. In a feed-in tariff scheme, providers of energy from renewable sources, such as solar, wind or water, receive a price for what they produce based on the generation costs.
This process usually involve long-term contracts, from 15 to 20 years. Mostly energy is focused to be used from renewable resources. As we know that renewable sources are good for environment and there is no limited resources to this.
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At the instant the traffic light turns green an automobile that has been waiting at an inter section starts a head with a constant acceleration of 2m/s square. At the same instant a truck. traveling with a constant velocity of 10m/s, overtakes and passes an automobile. How far beyond its starting point will the auto mobile overtake the truck?
Answer:
100 m
Explanation:
Distance truck will travel = 10 m/s * t sec
Distance car will travel = 1/2 at^2
find when these two are equal
10t = 1/2 (2) t^2
t^2 -10t = 0
shows t = 10 sec
In 10 sec the truck travels 10 m/s * 10 s = 100 m
Which sentence in the passage can be used to conclude that Eris is a dwarf planet and not a planet?
Eris takes about 557 Earth years to orbit the Sun. It has a mean surface temperature of about 40 Kelvin. It has a nearly spherical shape. It has several other objects in its orbit, though few are as massive as itself. Eris is too far away and small to be clearly visible from the Earth. Scientists used its moon, Dysnomia, to measure it. Eris is believed to be slightly more massive than Pluto. However, both of them are smaller than Earth’s Moon. Eris orbits the Sun directly; it is not a satellite of another planet or dwarf planet.
Answer:
It has several other objects in its orbit, though few are as massive as itself."
solid matter is mostly empty space. the reason solids don't fall through one another is because group of answer choices atoms are constantly vibrating, even at absolute zero. of nuclear forces. of gravitational forces. of electrical forces. none of these
The reason solids don't fall through one another is because Electrical forces.
What are electrical force?
Electric force is the attractive or repulsive interaction at all between the two charged bodies. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so. One of the many forces that affect objects is the electric force.
To analyse the motion caused by that kind of force as well as combination of forces, Newton's laws are applicable. The analysis starts with the creation of a free body image, where the vector represents the individual forces' types and directions in order to calculate their sum, known as the net force, which can be used to calculate the body's acceleration.
Hence the answer is electrical forces.
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O
I. An object of mass 8. 0 kg is falling vertically through the air. The drag force acting on the object is 60 N. What is the best estimate of the acceleration of
the object
A. Zero
B. 2.5 ms-2
C. 7.5 ms-2
D. 10 m s-2
The best estimate of the acceleration of the object 2.5 m/sec².
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Force due to gravity = mg
= 8*9.8 = 78.4 N
Net force on object = 78.4 - 60 = 18.4 N
Acceleration = 18.4/8 = 2.5 m/sec²
The best estimate of the acceleration of the object 2.5 m/sec².
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8. Scarlet Skydiver, who has a mass of 60 kg, jumps from a stationary helicopter. What is the net force on her as she
emerges from the helicopter?
The net force on her as she emerges from the helicopter 588 N.
What is force?
A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.
The net force on her as she emerges from the helicopter 588 N.
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Select the correct answer. What happens to the potential energy of an object when it is falls from a height? a. It is lost. B. It is converted into another form, mainly thermal energy. C. It is converted into another form, mainly kinetic energy. D. It stays in the object.
When the potential energy of an object when falls from a height, It is converted into another form, mainly kinetic energy.
Potential energy is the energy held by an object since of its position relative to other objects, stresses inside itself, its electric charge, or other factors. Energy cannot be created or destroyed, meaning that the whole sum of energy within the universe has continuously been and will continuously be constant. In any case, this does not mean that energy is permanent; it can alter the form and indeed exchange between objects.
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Cindy roller skates with a constant
speed of 18 km/h. How long will she
take to travel a distance of 54
kilometres?
Answer:
3 hours
Explanation:
[tex](54 km)\frac{1 h}{18 km} = 3 h[/tex]
you (mass 55 kg) are riding a frictionless skateboard (mass 5.0 kg) in a straight line at a speed of 4.5 m/s. a friend standing on a balcony above you drops a 2.5-kg sack of flour straight down into your arms. what is your new speed while you hold the sack?
The new speed while holding the sack is v₂ = 4.32 m/s as per the given mass and velocity.
What is meant by velocity?Velocity is the rate of change in position of a moving object as observed from a specific frame of reference and measured by a specific time standard.
Given,
The mass of first object m₁=55kg
The mass of second object m₂=5kg
The velocity of first object v₁=4.5m/s
The velocity of second object v₂=?
The mass of the object that is dropped m₃=2.5 kg
When two bodies contact, the momentum of the two bodies before the collision equals the momentum after the collision, according to the law of conservation of momentum.
Pa= Pb
Where Pa denotes the momentum before the impact and Pb denotes the momentum after the collision.
When we apply this law to the preceding situation, we get Momentum before collision= Momentum after collision.
Momentum before impact = ( m₁+m₂) x v₁ = (55+5)x 4.5 = 270 Kg m/s
Momentum after impact = ( m₁+m₂+m₃) x v₂ = (55+5+2.5) x v₂
We now understand that momentum before contact equals momentum after impact:
270 = 62.5 v₂
v₂ = 4.32 m/s
The new speed while holding the sack is v₂ = 4.32 m/s
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match the terms with their definitions. (4 points) b 1. average speed 2. acceleration 3. speed a 4. instantaneous speed a. speed at a particular instant of time b. total distance covered divided by the total time required c. rate of change of velocity with time d. rate of change of distance with time
The given question can be matched accordingly
Average speed= total distance covered divided by the total time required
Speed = rate of change of distance with time
Instantaneous speed = speed at a particular instant of time
Acceleration = rate of change of velocity with time
Explain the above terms.
Average speed is a scalar quantity. The formula for average speed is the ratio of the total distance traveled by the body to the time .Speed can be defined as distance per unit time . The SI unit of speed is m/s. It is the change in the position of an object with respect to time.
Instantaneous speed can be defined as the speed of a particle in the movement . It expresses the rate of change of displacement for any given instant of time. It is calculated as meter per second (m/s).
Acceleration is a vector quantity. It represents rate of velocity with time.
Si unit is m/s2
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The big surprise about the first planet discovered around another regular star was that it.
The primary surprise regarding the first planet found orbiting another regular star was the fact that its orbit took only 4 days to complete.
What method was employed by astronomers to make the first verified discovery of a planet orbiting a star similar to the Sun?Astronomy has long employed the method, also known as the radial velocity method. The same telescope that astronomers used to find this planet was also used to find the first planet ever discovered around a sun-like star using radial velocity.
Finding exoplanets can be done using the Doppler method. The motion and characteristics of the star and planet are examined using the Doppler effect. The planet and the star are revolving around the same mass.
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Q6. A crane lifts a load weighing
3000N through a height of 5m in
10s. What is the power of the
crane?
Answer:
Crane power 1 500 Watt
Explanation:
Given:
F = 3000 N - Cargo weigh
H = 5 m - Height
t = 10 s - Time
___________
P - ? Crane power
Work done by crane:
A = F·H = 3000·5 = 15 000 J
Crane power:
P = A / t = 15 000 / 10 = 1 500 W
If a collision results in a change of momentum of 45 kg m/s and exerts an impact force of
7.2 N, find the time that this collision took.
The time taken by the collision with a change in momentum of 45 kgm/s is 6 seconds.
What is time?Time can be defined as an ongoing and continuous sequence of events that occur in succession, from past through the present, and to the future.
To calculate the time ot takes the collision, that result to change in momentum, we use the formula below.
Formula:
t = ΔM/F............. Equation 1Where:
t = TimeΔM = Change in momentumF = ForceFrom the question,
Given:
ΔM = 45 kgm/sF = 7.2 NSubstitute these values into equation 1
t = 45/7.5t = 6 seconds.Hence, the time taken by the collision is 6 seconds.
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An airplane accelerated uniformly from rest at the rate of 5. 0 m/s2 south for 14 s. What final velocity did it attain?.
The final velocity of the airplane is 70 m/s.
Velocity is the directional velocity of an object in movement as a demonstration of its price of exchange in function as found from a specific body of reference and as measured by using a specific well-known time.
Speed is the time fee at which an item is shifting along a direction, at the same time as velocity is the rate and route of an object's movement. placed any other way, speed is a scalar cost, whilst pace is a vector.
Speed is the velocity at which something moves in a selected course. for example as the velocity of a car traveling north on a highway, or the velocity at a rocket travels after launching. In the scalar manner, the absolute price value of the rate vector is continually the velocity of the motion.
Calculation:-
v = u + at
= 0 + 5 × 14
= 70 m/s
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