Answer:
100kg
Explanation:
Momentum is defined as the product of mass times velocity:
[tex]p=mv[/tex]
The total momentum M must be equal to the sum of momentums of the system components, in this case the momentum of the lady plus the momentum of the cart:
[tex]M=m_{woman}v_{woman}+m_{cart}v_{cart}[/tex]
since both the woman and the shopping cart have the same velocity:
[tex]v_{woman}=v_{cart}=v[/tex]
the equation becomes:
[tex]M=m_{woman}v+m_{cart}v\\M=v(m_{woman}+m_{cart})[/tex]
and since we need the mass of the cart we solve for [tex]m{cart}[/tex]:
[tex]m_{woman}+m_{cart}=\frac{M}{v} \\\\m_{cart}=\frac{M}{v} -m_{woman}[/tex]
the values given by the problem are the following:
total momentum: [tex]M=450kgm/s[/tex]
mass of the woman: [tex]m_{woman}=50kg[/tex]
velocity: [tex]v=3m/s[/tex]
we substitute all of them in the equation to find the mass of the shopping cart:
[tex]m_{cart}=\frac{450kgm/s}{3m/s} -50kg\\\\m_{cart}=150kg-50kg\\\\m_{cart}=100kg[/tex]
the mass of the cart is 100kg.
A car weighing 1600 kg is accelerated to 30m/s from start in 20s. Calculate the
acceleration of the car and the magnitude of the force applied.
Answer:
Acceleration = 1.5m/s²Force applied = 2,400NExplanation:
Force is defined as the product of mass of an object and its acceleration.
Force = mass * acceleration and acceleration = velocity/time
Force = mass*(velocity/time)
Given Mass of the car = 1600kg, velocity = 30m/s and time taken = 20secs
Substituting this values in the formula will give;
Force = 1600 * 30/20
Force = 1600 * 1.5
Force = 2,400N
Magnitude of the force applied = 2,400N
Since acceleration = velocity/time
Acceleration = 30/20
Acceleration = 1.5m/s²
Acceleration of the car is 1.5m/s²
Which of the following choices is a characteristic of the Baroque period?
clear melodies
simplified orchestration
emotional meaning
grandeur
Answer: C
emotional meaning
Explanation:
Baroque style in the Baroque period is an ancient way of variety of arts used to produce European uniqueness in many art works such as magnificence in sculpture, painting, architecture, literature, dance, music and drama.
The characteristic of the Baroque period that helped to achieve all these is the extravagant display of emotions and details orientation.
A force of 5N compresses a spring by 4cm. Find the force constant of the spring.
Answer:
k = 1,250 N/m
Explanation:
Use the formula F=kx, with F=5N and x=0.04m
Then the spring constant (k) is 5/0.04
as the trait is dominant and controlled by a single gene,the mutation must have occurred on both diploid copies. true or false?
Answer:
False
Explanation:
A dominant trait is a trait that is inherited from parents. It is a trait that is obtained from a particular copy or type of a gene that overshadows or overwhelms the effects of another type or copy of that gene. Dominant traits are controlled by a single gene.
Therefore , as the trait is dominant and controlled by a single gene,the mutation must have occurred on both diploid copies is a false statement.
Some parents build their children’s lives around sports and place a high premium on the successes their children achieve in sports. Such parents often enroll their kids in sports programs when they are in preschool and continue to encourage their involvement in sports through high school and beyond. Many of these parents justify their position by equating success on the playing field with success in the real world. They also cite the benefits of sports to support their decisions: improving physical fitness, building lasting friendships, and acquiring life skills, such as persistence and teamwork. In light of this phenomenon, discuss the benefits and drawbacks to parental involvement in their children’s sports lives. When do parents cross the line between healthy encouragement to prepare their children for success and pushing them to succeed at all costs?
Answer:
I think they cross the line when they force sports into their child's life, and take away their choice of what they want to do so they essentially waste their childhood preparing for something that may never happen or they just don't get the opportunity to explore their artistic abilities.
Explanation:
A running man cannot stop as soon as he wants to stop. Explain why ?
Plz reply fast
Answer:
mass is not eager to be accelerated or in this case slowed down.
Explanation:
In general, Newton's 1st law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
What this means is that a mass is not eager to be accelerated or in this case slowed down. It will require an external force (muscle power) to get the mass of a running man to slow down. It is not instant also, because it takes time to slow down.
EXTRA
Supose the running man would try to stop instantly by purposely running against a brick wall. Even in that case, there is a small amount of time needed ( a fraction of a second perhaps) in which the moving mass of the man is forced to stop moving. That force is usually so huge, that it will injure someone in case of a crash, which might result even in death!
The purpose of an airbag or wearing a helmet, is to extend the time during a crash, FROM 0 to close to zero.
The layer of foam inside a helmet, protects the head in case of a crash, because it takes an amount of time for the head to squash the foam inside the helmet because the mass needs to be stopped ALMOST instantly. That difference between zero seconds and maybe 1 second, is sometimes enough to be able to survive a crash.
When the crest of one wave passes through the trough of another wave, ____ takes place. A. resonance B. diffraction C. constructive interference D. destructive interference
When the crest of one wave passes through the trough of another wave, destructive interference takes place.
What is the crest of a wavelength?The crest and trough of a wave, respectively, are its highest and lowest surface portions. The wave height is the vertical distance between the peak and trough. The wavelength is the horizontal separation between two consecutive crests or troughs.
When the crest of one wave passes through the trough of another wave, interference takes place.
This interference can be constructive, where the amplitudes of the waves add up, resulting in a larger wave, or destructive, where the amplitudes of the waves cancel out, resulting in a smaller wave or no wave at all.
The type of interference that occurs depends on the relative amplitudes, wavelengths, and phases of the two waves.
Therefore, destructive interference takes place when the crest of one wave passes through the trough of another wave.
Learn more about wavelength here:
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