A radioisotope with an 8-day half-life is iodine-131. By emitting beta particles, it decomposes into xenon-131. Any sample of iodine-131 will have half of its atoms destroyed after eight days.
How long does it take an isotope to degrade by 50%?The half-life is the length of time it takes for an isotope to decay from a given amount by half. For instance, carbon-14 has a 5,730-year half-life. Assume you begin with 100 grams of carbon-14. Half of it decays in 5,730 years.
How much of an iodine 131 sample is still there after 30 days?The half-life of this isotope is 8.04 days. What portion of a 13153I original sample is still present after 30.0 days? We desire the proportion of7.53% of the initial sample is still present after 30 days, or, to put it another way, we want the ratio N(30 days)/No.
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a positive point charge q is released from rest at point x. if the magnitude of the electric field at point x is e, what is the kinetic energy of the charge at point y? (a) (b) (c) (d) (e) qed 2qed 2qed 2 2qed 4qed
The kinetic energy of the charge at point y K.E. = q2E2t2 / 2m is the formula of columb's law.
What is kinetic energy?
Kinetic energy is the energy of motion. It is the energy possessed by an object due to its motion. This type of energy is associated with the movement of particles, atoms and molecules. Kinetic energy is expressed in terms of mass, velocity, and momentum. It can be calculated using the formula KE = ½mv², where m is the mass of the object and v is its velocity. Kinetic energy is associated with a variety of physical phenomena, including sound, light, electricity, and magnetism.
Law of Coulomb
The electrostatic force between two charged items is inversely proportional to the square of the distance between the two objects and directly proportional to the product of their charges.
Electrostatic force,
F = q E
m (dv/dt) = q E
Integrating, we will get,
v = q E t / m + c
where c= integraing constant.
at t = 0, v = 0, so c = 0
now, v = q E t / m
Therefore,
K.E. =1/2 m v2
K.E. = q2E2t2 / 2m
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what is the distance from eart's center to a point outside earth's center where the gravitational acceleration a due to earth is 1/10 of its value from surface
The distance of point where gravitational acceleration a due to earth is 1/10 of its value from surface is 7436.8km.
We know that value of acceleration due to gravity at surface of earth is given by the formula g=GM/r²
where G is the earth's gravitational constant, M is the mass of earth and r is the distance between center and surface of earth.
Now,when we consider a point outside the surface of earth as h then value of acceleration due to gravity is =GM / (r+h)²
Now,we are given that value of acceleration due to gravity is 1/10 to the value at surface
∴GM / (r+h)²=(1/10) × (GM/r²)
=>r²/(r+h)² = 1/10
=>r/(r+h)= √(1/10)
=>r/(r+h)= 1/√10
On further solving,we get
=>√10 ×r=r+h
=>r×(√10-1)=h
Since this point is from center of earth and we need to find point from surface,there distance of point is =h-r=r×(√10-1)-r=r×(√10-2)=1.162r
Now,we know that radius of earth is 6400km
So,on putting =1.162r=1.162×6400=7436.8Km
Hence,distance of point from surface of earth is 7436.8km.
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(Complete question) is:
what is the distance from earth's center to a point outside earth's center where the gravitational acceleration a due to earth is 1/10 of its value from surface of earth.
A boat on a river heads North East at a speed of 50 m/s at an angle of 35 degrees. What is the velocity's horizontal component?
The horizontal component of the boat's velocity is 40.96 m/s.
What is the horizontal component of the boat's speed?The horizontal component of the boat's velocity is the velocity of the boat along the horizontal direction or x - axis of the boat's motion.
The magnitude of the horizontal component of the boat's velocity is calculated as follows;
Vx = V cos (θ)
where;
V is the speed of the boatθ is the direction of the boat's speedVx = 50 m/s x cos (35)
Vx = 40.96 m/s
Thus, the horizontal component of the boat's velocity is a function of the initial velocity and the direction of the velocity.
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a spring powered cannon, with spring constant k, is pointed straight into the air. it is loaded with a ball of mass m that is compressing the spring of the cannon a distance x and is ready to launch. write the equation to solve for the height of the ball after being launched and after it has reached it highest height and is now traveling down. do so in terms of k,m,x,v, and any needed constants.
The height reached by the spring powered cannon is 9.8mh.
Calculation:-PEspring = 1/2 × k × x²
Where k = spring constant
x = amount of compression
The spring constant is kThe compression of the spring is x = xm
The potential energy stored in the spring is
PE = 1/2 kx²
This potential energy will be converted to kinetic energy when the spring is released and to potential energy of spring powered cannon
KEspring canon powered = 1/2 mu²
Let the height of the powered cannon be = h
The acceleration due to gravity is g = 9.8ms−2
Then ,
The potential energy of the spring powered cannon =PEpowered canon = mgh
Mass of the ball is m =m
PEcanon = m× h × 9.8
PEcanon = 9.8mh.
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A 61 kg person is on Mars which has an acceleration due to gravity...
Answer:
w = 219.6 N
Explanation:
w = mg
where w is weight, m is mass in kg, and g is acceleration due to gravity in meters per second squared
in this case, given is
m = 61kg
g = 3.6 m/s^2
By plugging in the given values, you can find the weight of the person on mars
w = 61(3.6)
w = 219.6 N
an athlete pushes a 50-kg sled with a horizontal force of 200 n and it fails to move. what is the net force on the sled?
The net force on the sled is 400 N.
The net force on the sled is the sum of all the forces acting on the sled. In this case, the only forces acting on the sled are the horizontal force of 200 N applied by the athlete and the force of friction acting on the sled.
The force of friction is given by the equation:
F_friction = μ × F_normal
where F_friction is the force of friction, μ is the coefficient of friction between the sled and the surface it is on, and F_normal is the normal force acting on the sled.
The normal force is the force exerted on an object by a surface that is perpendicular to the surface. For an object at rest, the normal force is equal to the weight of the object. In this case, the weight of the sled is 50 kg × 9.8 m/s² = 490 N.
Plugging the values for the coefficient of friction, the normal force, and the applied force into the equation gives us the following:
F_friction = μ × F_normal = μ × 490 N = 200 N
The net force on the sled is the sum of the horizontal force applied by the athlete and the force of friction:
F_net = F_horizontal + F_friction = 200 N + 200 N = 400 N
Therefore, the net force on the sled is 400 N.
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How do you calculate the wavelength frequency and energy?
Answer:
Wavelength = c/f
Frequency = c/wavelength
Energy = mass * [tex]c^2[/tex] [[tex]e = mc^2[/tex]]
Explanation:
c is the speed of light constant -> [tex]3 * 10^8[/tex]
f is the frequency of the wave
a student had two balls labeled 1 and 2. the balls were identical in size. she applied the same force on both the balls and assumed that the balls would undergo similar acceleration. however, she found that ball 2 traveled a greater distance while in the air. the student concluded that ball 2 had less mass than ball 1, which caused it to accelerate and move faster.which scientific concept did the student most likely use to arrive at this conclusion?
The scientific concept that the student most likely used to arrive at his conclusion is Newton's laws of motion.
Newton's Laws of motion - Newton's Laws of motion consists of 3 important Laws. The three laws of motion help us understand how objects behave when standing still, when moving and when forces act upon them.
according to Newton's 2nd laws:
F = ma (where m is mass and a is acceleration of the object)
the subject applied same force on both the balls, but the ball 2 travelled greater distance.
F = M1a1
M1 = F/a1
and M2 = F/a2
and S = 1/2at2 if initial velocity is 0.
so, S is directly proportional to a
so, M1 = F/S1
and M2 = F/S2
Since, S2 is greater than S1, so M2 is less than M1 because distance is inversely proportional to mass of the object.
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Puck b has 2ma the mass of puck a. Starting from rest, both pucks are pulled the same distance across frictionless ice by strings with the same tension. How much is the final kinetic energies of pucks a and b.
(A) Puck B has kinetic energy that is twice as great as puck A's.
(b) The final speeds of pucks A and B are identical.
Assume that puck A has a mass of m and puck B has a mass of 2 m.
The initial speed of both pucks is u, and their respective starting distances are s.
Let's say that T is the same tension.
The kinetic energy is then specified as,
The kinetic energy relies on the mass since the speed is constant.
Then,Therefore, the ratio of the kinetic energies of A and B is 1: 2.
As a result, we can say that puck B has kinetic energy that is twice that of puck A.
The puck's final speed is specified as,
v = s/t
Here, s denotes the traveled distance.
Since both pucks are transported across the frictionless ice at the same speed. Consequently, each puck's end speed is also the same.
As a result, we can say that both pucks A and B have the same final speed.
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(T/F) scientists claim that quantum theory proves consciousness moves to another universe at death
False. There is no scientific evidence to support the claim that consciousness moves to another universe at death.
Quantum theory is a branch of physics that deals with the behavior of subatomic particles and the fundamental nature of the universe. It does not address the concept of consciousness or the afterlife.
There are many theories about the nature of consciousness and what happens to consciousness after death, but these are philosophical or metaphysical in nature and are not based on scientific evidence. Some scientists and philosophers have proposed ideas about the relationship between consciousness and the universe, but these are still unproven hypotheses that are not supported by mainstream scientific understanding.
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Which companies are reporting Scope 3 emissions?
According to the SEC's proposed climate disclosure rule, all registrants must disclose scope 3 emissions because they constitute a significant source of financial risk associated to climate change along the company value chain.
Scope 3 emission: what is it?Scope 3 emission are the outcome of operations on resources that the reporting company does not own or control, but which are indirectly impacted by the organization through its value chain.All sources outside of an organization's range 1 or scope 2 boundary are included in scope 3 emissions.
A Scope 3 emission, is water?emissions from the biological decomposition of the waste during waste water treatment.These Scope 3 emissions include:Since they are not managed or operated by the organization, they fall under Category 5 - Waste Generated in Operations.
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For how long must a current of 13 A flow to transfer:
a) 32.5 C of charge
b) 62.4 C of charge
c) 312 C of charge
d) 780 C of charge
e) 1612 C of charge
f) 812.5 C of charge
g) 468 kC of charge
h) 187.2 kC of charge
i) 163.8 kC of charge
(a) The time of 13 A current flow for 32.5 C charge is 2.5 s.
(b) The time of 13 A current flow for 62.4 C charge is 4.8 s
(c) The time of 13 A current flow for 312 C charge is 24 s.
(d) The time of 13 A current flow for 780 C charge is 60 s.
(e) The time of 13 A current flow for 1612 C charge is 124 s.
(f) The time of 13 A current flow for 812.5 C charge is 62.5 s.
(g) The time of 13 A current flow for 468 kC charge is 36,000 s.
(h) The time of 13 A current flow for 187.2 kC charge is 14,400 s.
(i) The time of 13 A current flow for 163.8 kC charge is 12,600 s.
What is electric current?Electric current is the flow of charges or electron in a given time period.
The relationship between charges, current and time is given as;
Q = It
t = Q / I
where;
t is the time of charge flowQ is the magnitude of the chargeI is the currentThe time of 13 A current flow for 32.5 C charge is calculated as;
t = (32.5 C ) / 13 A
t = 2.5 s
The time of 13 A current flow for 62.4 C charge is calculated as;
t = (62.4 C ) / 13 A
t = 4.8 s
The time of 13 A current flow for 312 C charge is calculated as;
t = (312 C ) / 13 A
t = 24 s
The time of 13 A current flow for 780C charge is calculated as;
t = (780 C ) / 13 A
t = 60 s
The time of 13 A current flow for 1612 C charge is calculated as;
t = (1612 C ) / 13 A
t = 124 s
The time of 13 A current flow for 812.5 C charge is calculated as;
t = (812.5 C ) / 13 A
t = 62.5 s
The time of 13 A current flow for 468 kC charge is calculated as;
t = (468,000 C ) / 13 A
t = 36,000 s
The time of 13 A current flow for 187.2 kC charge is calculated as;
t = (187,200 C ) / 13 A
t = 14,400 s
The time of 13 A current flow for 163.8 kC charge is calculated as;
t = (32.5 C ) / 13 A
t = 12,600 s
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Why is it called a wavelength?
Every wave has a distinct size and shape.Wavelength is the separation between peaks (high points).
What is a wavelength, exactly?A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) inside the consecutive cycles.This length is typically defined in wireless systems in meters (m), centimetres (cm), or millimeters (mm) (mm).
Why is light referred to be a wave?as airy as a waveYou can think of (model) light as just an electromagnetic wave.According to this paradigm, a shifting magnetic field is produced by a shifting electric field.
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Assume the following waves are propagating in air
a) Calculate the wavelength lambda_1 for gamma rays offrequency f_1 = 6.30×1021 Hz.
c) Calculate the wavelength lambda_2 for visible light offrequency f_2 = 5.40×1014 Hz.
A. The wavelength of light in gamma ray is 4.76x10⁻¹³m.
B. The wavelength of light in the visible light range is 5.55x10⁻6m.
The wavelength of the light ray is always given by
Lambda=c/f, where c is the speed of light in vacuum and it's value is c=3x10⁹ m/sec and f is the frequency of the light ray.
a. The frequency of the gamma-ray (f1)=6.3x10²¹ Hertz. Since , lambda =c/f , Lambda 1=c/f1 =(3x10⁹) / (6.3x10²¹) =4.76x10⁻¹³ m.
The normal wavelength of the gamma rays are always below 100 pm or 10⁻¹⁰ m.
b.The frequency of visible light (f2) =5.40x10¹⁴ Hertz. Lambda 2=c/ f2 =(3x10⁹) / (5.40x10¹⁴) =5.55x10⁻⁶ m.The normal range of wavelength of visible light is 400-700 nm.
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How can you remember the 7 electromagnetic waves?
Radio waves, microwaves, IR or infrared light, visible light, UV or ultraviolet rays, x-rays, and gamma rays are the frequencies from lowest to highest. Mneumonic means: Red Marley Invaded Vietnam Using X-ray Granade. So you can utilize that to help you remember the electromagnetic spectrum's order.
What is meant by an electromagnetic spectrum?The electromagnetic spectrum is the scale or range of electromagnetic radiation frequencies, as well as their wavelengths and photon energies. The entire spectrum of radiation contains both magnetic and electrical fields and makes its way in waves. The electromagnetic spectrum encompasses the entire range of wavelengths and frequencies. It begins with a very low level of energy and has the potential to transform into a very high energy level when it consists of wavelengths shorter and higher frequencies.
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What principle is responsible for light spreading as it passes through an?
Diffraction of light, as it is used to describe light, occurs more explicitly when a light wave passes by a corner or via an opening or slit that is physically smaller than the wavelength of that light, if not even smaller.
What principle causes light to travel through two tiny apertures and leave behind alternating bands of light and darkness?The intensity pattern that appears on the lit screen is determined by the superposition principle. When the difference in pathways from the two slits to a location on the screen equals an integral number of wavelengths (0,, 2,...), constructive interference takes place.
Which of the following characteristics of light spreads out light as it enters an object's opening?Light passing through an object causes a little bending known as diffraction. the perimeter of anything. The degree of bending is influenced by the wavelength of light's size in relation to the opening's size.
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A golf ball is hit upward at an angle from the horizontal and speed v=40m|s.it reaches a maximum height of 10m as illustrated above.assume the ballistic trajectory starts from ground level and ignore air resistance..assume the shot is made on a wide level field...
What is the initial angle?
Answer:
Explanation: v = 40 m/s, H = 10m, g = 9.8 m/s2
H = (v * sinθ)^2 / 2g
H = v^2 * (sinθ)^2 / 2g
H = (40)^2 * (sinθ)^2 / 2g
H = 1600 * (sinθ)^2 / 2g
Cross multiply
2gH = 1600 * (sinθ)^2
2 * 9.8 * 10 = 1600 * (sinθ)^2
196 = 1600 * (sinθ)^2
Make (sinθ)^2 the subject of the formula
(sinθ)^2 = 196 / 1600
Take the square root of both sides
√(sinθ)^2 = √( 196 / 1600)
sinθ = 0.35
θ = sin^-1(0.35)
θ = 20.48731511
Approx. 20.49
I hope this was helpful
An object is moving to the right with speed vi when a force of magnitude f is exerted on it. in which of the following situations is the object’s direction of motion changing and kinetic energy decreasing at the instant shown?
The object’s direction of motion changes and kinetic energy decreases at the instant shown by situation D.
The full question is in the attachment. The formula for kinetic energy
Ek = 0.5 mv²
m = the mass of the objectv = the velocityIf velocity decreases, the kinetic energy also decreases.
Look at every situation
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What's an example of negative reinforcement?
An example of negative reinforcement is removing an unpleasant stimulus in order to increase a desired behavior. For example, if a child is misbehaving in class and the teacher takes away their phone as a consequence, the child is more likely to stop misbehaving in order to get their phone back.
Negative reinforcement is a behavior modification technique in which an unpleasant stimulus is removed in order to increase a desired behavior. It is one of the four quadrants of operant conditioning, along with positive reinforcement, punishment, and extinction. An example of negative reinforcement is taking away a child's phone if they are misbehaving in class. By removing the phone, the child is more likely to stop misbehaving in order to get the phone back. It can also be used for animals, such as a dog that is barking too much. The owner can take away its food bowl if it continues to bark and the dog will be more likely to stop barking in order to get its food bowl back. Negative reinforcement is used to increase the desired behavior, but it is important to ensure that the unpleasant stimuli are removed in a humane way.
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3 A driver leaves Beirut at the instant t=0, reaches Saida after 35 minutes. He rests for 11 minutes then drives 45 minutes to reach Tyre. TaGive the instants of the different described events. b What is the durations of the whole Journey
A, Give the instant of the different described events
What is the motion of billiards ball?
The 2D motion which is also known as planar motion is the motion of the billiards ball because the billiards stick's direction will restrict it.
A billiard ball can move back and forth and side to side (after being knocked off the table) when it hits the billiard bat. The motion of a billiard ball is constrained to only one plane and is also planar or 2D motion. The movement of a billiard ball on a billiard table is two-dimensional. The force acting on the ball has two components. One is the normal reaction force N acting normally on the surface. The other is the frictional force F acting parallel to the surface. The sum of the two forces gives a net or total value T acting in the spray direction (or vice versa).
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2. At 6:00 AM a hopital ued it cyclotron to make 1 milligram of the iotope fluorine-18 for ue a a diagnotic tool with it PET canner. The half-life of F-18 i 1. 8 hour. How much F-18 i left at 3:00 PM? At midnight? Should the hopital plan to make more F-18 the next morning?
Cyclotron to make 1 milligram of the isotope fluorine-18 for use a a diagnostic tool with it PET scanner. It seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.
The half-life of F-18 is 1.8 hours, so after 1.8 hours, half of the original amount of F-18 will remain. After 3.6 hours, a quarter of the original amount will remain, and so on.
At 3:00 PM (9 hours after the F-18 was made), the hospital will have
= 1/2^(9/1.8)
= 1/2^5
= 1/32
= approximately 0.03125 milligrams of F-18 remaining.
At midnight (18 hours after the F-18 was made), the hospital will have
= 1/2^(18/1.8)
= 1/2^10
= 1/1024
= approximately 0.0009765625 milligrams of F-18 remaining.
While using cyclotron, based on these calculations, it seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.
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When two substances that cannot dissolve each other are mixed, a mixture is formed.
A heterogeneous mixture that has very small dispersed particles and stays mixed for a long time is a .
A heterogeneous mixture that has larger dispersed particles that settle over time is a
A heterogeneous mixture that has very small dispersed particles and stays mixed for a long time is a colloid. A heterogeneous mixture that has larger dispersed particles that settle over time is a suspension.
What is a suspension heterogeneous mixture?A heterogeneous suspension is a mixture of components in which the solid particles cannot dissolve into the solution and they can be easily observed, while a colloid consists of macroscopic substances.
Therefore, with this data, we can see that a suspension is any heterogeneous mixture where major solid particles are not mixed.
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What is called a wavelength Mcq with answers?
The wavelength of a wave is the distance or length between its two subsequent crests or troughs.
What do you mean by wavelength?A wave's wavelength gives information about its length. The wavelength is the distance between the "crest" (top) of one wave and the crest of the following wave. The wavelength can also be determined by measuring from one wave's "trough" (bottom) to the following wave's "trough," with the same results.
Why is it known as a wavelength?Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape. The distance between peaks is referred to as the "wavelength" (high points).
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an object is moving to the right with speed vi when a force of magnitude f is exerted on it. in which of the following situations is the object’s direction of motion changing and kinetic energy decreasing at the instant shown?
The situation that is the object’s direction of motion changing and kinetic energy decreasing at the instant shown in diagram A.
What is kinetic energy?The energy that a body possesses as a result of its motion is known as kinetic energy. A body with kinetic energy must thus be in motion. Remember that a force is what causes motion.
Now, a force must act in the same direction as the moving object in order to enhance its kinetic energy. As a result, the diagram presented in option A should be the appropriate response to the question.
Therefore, the correct option is A.
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The question is incomplete. Your most probably complete question is given below: the image is added.
What is an example of free operant?
An example of free operant is a rat in a Skinner box pushing a lever to receive a food reward. The rat is free to choose whether or not to press the lever, and the behavior transversal is reinforced by the food reward.
Free operant is a type of operant conditioning where the learner has the option to make choices in order to receive a reward. The learner is free to choose whether or not to perform the desired behavior, and is reinforced when they do so. An example of free operant is a rat in a Skinner box pushing a lever to receive a food reward. The rat is free to choose whether or not to press the lever, and the behavior is reinforced by the food reward. In free operant, the learner can choose whether to perform the behavior and is not controlled by the environment. It is distinct from other forms of operant conditioning, such as fixed-ratio or interval schedules, where the learner’s behavior is controlled by the environment. Free operant is an important tool in learning and behavior modification, as it allows the learner to choose the behaviors they wish to perform and be rewarded for them.
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How do you find the amplitude when given the wavelength and frequency?
A trigonometric function's amplitude is equal to half the distance between the curve's highest and lowest points:(Maximum) − (Minimum) 2 = (Amplitude).
The amplitude can be found where in a commodity derivatives?A distance between the function's center line and its top or bottom is known as its amplitude, and the distance between its two peaks, or the time it takes for the graph to repeat itself, is known as its period.
What in mathematics is the amplitude?The distance that a function's graph moves between and above its midline is referred to as its amplitude.When graphing a formula given, the amplitude's value corresponds to the sine function's coefficient.
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someone answer this question pls
Answer:
D by plane
Explanation:
by car is 64 h is not less day the same for the truck and ship is very long
by train is impossible the train Srinagar-Kerala not exist
Is only possible by plane
a toy rocket has a momentum of 150 kg*m/s, and a velocity of 30 m/s. Calculate the MASS:
one object is traveling northeast with a momentum of 12 kg-m/s, while a second object is traveling southwest on the same path as the first object with a momentum of 4 kg-m/s. when the two objects collide, they stick together. what is the momentum after their collision?(1 point)
The objects collide together where one object is exerting force on the other in equal and opposite magnitude. When they stuck together, their final momentum will be the sum of initial of momentum of each object. Thus, the final momentum after collision will be 16 kg m/s.
What is momentum?Momentum is a physical quantity which is equal to the product of mass and velocity of the object. Hence, for a stationary body, the there will be no momentum.
During collision, the total momentum is conserved. Thus, the sum of initial momentum of the colliding objects is equal to the final momentum of the combined mass.
The momentum of object 1 = 12 Kg m/s
object 2 = 4 kg m/s.
Thus, total initial momentum = final momentum = 12 + 4 = 16 Kg m/s.
Therefore, the final momentum after collision is 16 Kg m/s.
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