Using the concepts of momentum, we got that 150i-60j is the momentum vector and 162.3Kg-m/sec is the magnitude of the momentum of a 30 kg object.
We know very well that momentum is given by the product of mass and velocity of the object.
In other words P=M. v
But, here velocity is given in 2-D form, means momentum is possible in two different directions.
Therefore, for momentum we just need to multiply the mass of the object with velocity
=>Momentum of the object=M×(5i-2j)
=> p=30×(5i-2j)
=> p=150i-60j
Now, talking about the magnitude we know that magnitude is given by
√(x-component)² + (y-component)²
Therefore, magnitude of momentum (|p|)=√(150)²+(--60)²
=> |p|=√22500+3600
=> |p|=√26100
=> |p|=162.3Kg-m/sec
Hence, for 30 kg object is moving along with the velocity given, the momentum vector is 150i-60j, as well as the magnitude of the momentum for v=5i-2j is 162.3kg-m/sec.
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a car crashes into a large tree that does not move. the car goes from 30 m/s to 0 in 1.3 m. (a) what impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) what is the average force applied to the driver by the seatbelt?
a) 1890 N sec impulse is applied to the driver by the seatbelt .
b) the average force applied to the driver by the seatbelt is 24.23 N
What is impulse ?
In classical mechanics, momentum (symbolized by J or Imp) is the integral of force F over the time interval t over which the force acts. Since force is a vector quantity, momentum is also a vector quantity. The SI unit of momentum is the Newton second (N s), and the dimensional equivalent unit of momentum is the kilogram meter per second (kg m/s). The equivalent British engineering unit is pound second (lbf⋅s), and in British gravitational systems the unit is slug feet per second (slug⋅ft/s). A resultant force causes an acceleration and a change in the velocity of a body as long as the body is acting on it. Therefore, a net force applied over a long period of time produces a larger change in linear momentum than the same force applied for a short period of time.
The change in momentum is equal to the average force multiplied by the duration. Conversely, a small force applied for a long period of time produces the same change in momentum (same momentum) as a large force applied for a short period of time.
A)
Impulse, J = mv
J = 70 x 27
J = 1890 N sec
B)
Average force, F = 1890/(1.3 x 60) = 24.23 N
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Who was awarded the highest-ever rank in the u. S. Armed forces? george patton douglas macarthur george washington dwight d. Eisenhower.
The Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.
What is u.s. armed force?
The American military is comprised of the United States Armed Forces. There are six service branches in the military: the Army, Marine Corps, Navy, Air Force, Space Force, and Coast Guard. The Department of Defense (DoD) and Department of Homeland Security (DHS), both federal executive departments, serve as the main vehicles by which military policy is carried out.
How many army forces are present in the u.s. armed force?
The Navy, Air Force, and U.S. Army are the three services with the most active personnel. The U.S. military is vastly outnumbered by China, even though it had over 1.4 million members in 2021. In terms of military expenditure, the US truly reigns supreme. The amount per person in 2021 was 2,186 dollars.
As a cadet at the United States Military Academy at West Point, Dwight D. Eisenhower took the oath in June 1911, officially beginning his military career. He attended West Point with Omar Bradley's class and graduated in June 1915. He was then commissioned as a second lieutenant in the American Army.
Therefore we can conclude that Dwight d. Eisenhower was awarded the highest-ever rank in the u. S. Armed forces.
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g how long will it take a 3500- w motor to lift a 365- kg piano to a sixth-story window 18.0 m above?
Lifting a 365-kg piano to a window on the sixth floor will require a 3500-w motor in 17.6 seconds. In a motor, electrical energy is transformed into mechanical energy.
According to estimates, motors use close to half of the energy utilized worldwide. An electrical device known as a DC motor transforms electrical energy into mechanical energy. Direct current, which is used as an electrical energy source in a DC motor, is converted into mechanical rotation.
P= 3500 W m = 350 h = 18m for Data Part A given.
Energy needed is known to be mah,
which is 350 x 9.8 x 18 J, or 61 74 0 J.
As it also known, Power = Energy/Time.
Time = Energy/Power = 61740/350 0 T = 17. 64S
Time taken therefore equals 17.6 seconds.
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switches that support a(n) _______________ transceiver can connect a variety of gigabit types.
switches that support a(n) SFP port transceiver can connect a variety of gigabit types.
A gigabit switch is a type of network switch which is typically Ethernet based, that allows devices to be connected to a LAN at speeds of 1 Gbps or higher. An SFP port or small form factor pluggable port on a network device is a slot where SFP transceivers are connected and it allows gigabit switches for connecting to a variety of Ethernet and fiber cables for extending the functionality of switching through the networks.
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When a piece of perspex is
rubbed with a dry woollen cloth,
electrons move to the cloth.
Which material becomes:
a) positively charged
b) negatively charged?
a). Since the Perspex cloth loses electrons it gains Positive charge.
b). Since the Electrons are transferred to cloth so it gains negative charge.
Objects are charged when rubbed together, one getting a positive and the other a negative charge. This happens because of friction that occurs between the two bodies.
When you rub these two materials against each other, electrons are stripped and accumulate at both of these materials. However, since polythene rod has larger dielectric constant, it stores more charges, therefore it is always more negatively charged.
Triboelectric effect is also an interpretation to understand this mechanism of electrons.
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besides a sound wave striking a boundary between two tissue interfaces at oblique incidence, which other condition must be present in order for refraction to occur?
A sound wave striking a boundary between two tissue interfaces at oblique incidence, the other condition must be present in order for refraction to occur is that the propagations speeds of the two media must be different from each other acc. to Snell’s law.
What is a refraction?The redirection of a wave as it travels through one medium and into another is called refraction. Changing the medium or the wave's speed can both result in redirection.
Conditions for refraction according to Snell's law are:According to Snell's law, the ratio of the sines of the angle of incidence (display style "theta 1" and "theta 2") and angle of refraction (display style "theta 2") for a given pair of media is equal to the refractive index of the second medium relative to the first (n21), which is equal to the ratio of the refractive indices (n2/n1) of the two media, or alternatively, to the ratio.
Hence, A sound wave striking a boundary between two tissue interfaces at oblique incidence, the other condition must be present in order for refraction to occur is that the propagations speeds of the two media must be different from each other acc. to Snell’s law.
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a black cat starting from rest accelerates uniformly at 1.2m/s/s for 2.4 seconds. what distance did the cat cover after the acceleration?
The distance covered by the cat starting from rest accelerates uniformly at 1.2 m/[tex]s^2[/tex] For 2.4 seconds after the acceleration is 3.456 meters.
What is acceleration?Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an item or points traveling straight forward. Even though the speed is constant, motion on a circle increases because of the constant change in direction.
Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity.
Given:
The initial acceleration, a = 1.2 [tex]m/s^2[/tex],
The time, t = 2.4 seconds,
Calculate the distance by the following formula,
[tex]s = u * t + 1 / 2 * a * t^2[/tex]
Here s is the distance.
Substitute the values,
s = 0 * 2.4 + 1 / 2 * 1.2 *[tex]2.4^2[/tex]
s = 3.456 meters
Therefore, the distance covered by the cat starting from rest accelerates uniformly at 1.2 m/[tex]s^2[/tex] for 2.4 seconds after the acceleration is 3.456 meters.
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Which system works with the nervous system to influence your heart rate?
the immune and lymphatic system
muscular system
endocrine system
integumentary system
Using the information given in the problem introduction and assuming that the third driver is telling the truth, determine whether driver n has reported his speed correctly. Specifically, if driver e had been traveling with a speed of exactly 12 meters per second before the collision, what must driver n's speed have been before the collision?.
Assuming that g, the gravity's acceleration, is 9.81 meters a second per sec. Driver N travels at a speed of 22.1594 m/s.
Another name for a collision is what?Concussion, impact, or shock are a few popular alternatives to the word collision. All of these terms refer to "a forceful, even violent touch among two or more things," but collision denotes the coming all together two or more things so violently that both or all of them sustain damage or have their progress significantly hampered.
In physics, what is a collision?When particles, collections of particles, and solid entities travel in the same direction and get close enough to one other, they collide and exert mutual force.
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jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline.
a ball traveling at 3 m/s east hits a wall and bounces off heading west traveling at 2 m/s. if the change in direction took 0.4 second, what is the average acceleration of the ball?
The average acceleration of the ball is 12.50 m/s^2 and it is moving in the West direction.
What are the Equations of motion?
Equations of motion in physics refer to a group of equations that can describe how a physical system behaves in terms of how it moves through time. The relationship between parameters like velocity, location, and acceleration that are measured at different intervals of time is thus the definition of the equation of motion.In one, two, and three dimensions, an object's motion is governed by the three equations of motion.These equation are used when the body is moving in a constant acceleration and along a straight line. The following are the three equations:
First equation of motion: v = u + atSecond equation of motion: s = ut + at^2/2Third equation of motion: v^2 = u^2 + 2asThe following informations are given in the question,
u = Initial velocity of the ball = 3m/s along East
v = final velocity of the ball = 2m/s along West
t = time = 0.4 seconds
Using the 2nd equation of motion, we find the accelertaion, a of the ball-
v = u + at
-2 = 3 + a x 0.4
-5 = a x 0.4
a = - 5 /0.4
= - 12.50 m/s^2
The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.
Hence, the average acceleration of the ball is 12.50 m/s^2 and it is moving in the West direction.
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How does the angle at which a ray of light strikes a pane of window glass compare with the angle at which it passes out the other side?.
The angle at which the light ray hits the glass plate (angle of incidence) is equal to the angle at which it emerges from the opposite side.
The angle of incidence is equal to the reflected angle through the law of reflection
The angle of incidence is the angle between a ray on a surface and the line perpendicular to the surface at the point of incidence. The light beam chooses the shortest path to the target, so the angle of incidence is equal to the angle of reflection. This behavior of light is known as Fermat's principle. Rays behave similarly when reflected from flat surfaces. Therefore, the angle of incidence and the angle of reflection are the same
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Impulses are sudden and powerful urges. Where does their energy come from?
A. It comes from high-speed neurons in the brain.
B. It comes from being encouraged by peers.
C. It comes from bypassing the prefrontal cortex.
D. It comes from conscious repetition.
Answer:
From psychology
It comes from bypassing the prefrontal cortex
So yes, The answer will be C.
Concrete has a density of 2400 kg/m³. Calculate the mass of 150 m³ of concrete in kilograms.
Answer: 360000 kilograms
Explanation: Just have to multiply 2400 by 150 for your answer
Why do jovian planets bulge around the equator, that is, have a squashed appearance?.
The mass near the equator is thrown outward by their quick rotation. In comparison to any terrestrial planet, the jovian planets rotate significantly more quickly.
A planet would be spherical due to gravity alone, but due to their rapid rotation, material around the equator is thrown outward, flattening out their spherical outlines. At some point, a part of this matter falls toward the center and forms a star, and the rotating cloud starts to flatten into a disk. Planets are created from this moving protoplanetary disk of gas and dust, leading to a comparatively flat solar system. Synchronous rotation is the name given to this kind of rotation. To find out more about synchronous rotation, click here. The small moons outnumber the big moons by a wide margin.
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Tech a says that one advantage of distributorless ignition systems is no moving parts to maintain. Tech b says that the resistance of the coil primary winding can best be tested with a voltmeter. Who is correct?.
Tech A's point is correct as Tech A says that one advantage of distributor less ignition systems is no moving parts to maintain.
Ignition system have following merits:-
Less voltage loss, from the coil to the plug.
However with fewer connections and the elimination of the distributor rotor to cap air gap.
So, the evolution of ignition systems, has provided a number of merits.
As a result, drivers driving with newer systems enjoy better fuel efficiency; infact more reliable operation with reduced maintenance costs.
The position sensors, are equipped with a magnetic coil, generating a magnetic field. So, when the gap of a triggering wheel, comes in front of the position sensor; a fluctuation in the signal is likely to occur. These signals then stop or start, the flow of current, to the primary winding of the coil cannot be tested with voltage measuring device.
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n the moon the acceleration due to gravity is 5 ft/sec{}^2. an astronaut jumps into the air with an initial upward velocity of 11 ft/sec. how high does she/he go? feet how long is the astronaut off the ground? sec.
a) The astronaut goes to a maximum height of 5.5 feet.
b) The astronaut is off the ground for about 4.4 seconds
Describe the equations of motions?
In physics, the term "equations of motion" designates a set of equations that can be used to explain how a physical system acts with respect to how it moves through time.The link between variables like velocity, location, and acceleration that are observed at various points in time is thus the definition of the equation of motion.The three equations of motion are the laws that govern how an object moves in one, two, and three dimensions.When the body is travelling straight ahead with a constant angular velocity, these equations are utilized.The three equations look like this:
The first motion equation is v = u + at
The second equation of motion is s = ut + at^2 /2
The third equation of motion is v^2 = u^2 + 2as
Using Second equation of motion:
s(t) = v₀t + 1/2 at²
= 11t + (1/2)(-5) t²
= 11 t - 5/2 t².
On differentiating the above equation with respect to time, we have
s’(t) = 11 - 5t
Then equating the equation to 0, we find
s’(t) = 0
11 - 5t = 0
5t = 11
t = 11/5
The astronaut reaches the maximum height at time t = 11/5 = 2.2 seconds.
Therefore, the maximum height achieved by the astronaut is
s = 8(11/5) - (5/2)(11/5)²
= 88/5 - (5/2)(121/25)
= 88/5 - 60.5/5
= 27.5/5
= 5.5 feet.
The astronaut touches the ground at time t > 0 such that
s(t) = 0
11t - 5/2 t² = 0.
5/2 t² - 11t = 0
5t² - 22t = 0
t(5t - 22) = 0
t = 0 or 5t - 22 = 0
5t = 22
t = 22/5
= 4.4 seconds
Hence,
a) the astronaut goes to a maximum height of 5.5 feet.
b) the astronaut is off the ground for about 4.4 seconds
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what is the moment of inertia i of this assembly about the axis through which it is pivoted? express the moment of inertia in terms of mr , m1 , m2 , and x . keep in mind that the length of the rod is 2x , not x .
The moment of inertia of i is [tex]x^{2} (m_{1}+m_{2}+\frac{m_{r}}{3})[/tex]
To find the moment of inertia can be determined as follows:
First we need to identify the given data
[tex]m_{1}[/tex] = the mass of sphere 1
[tex]m_{2}[/tex] = the mass of sphere 2
[tex]m_{r}[/tex] = the mass of the rod
[tex]x[/tex] = the distance between sphere 1 and pivot
[tex]x[/tex] = the distance between sphere 2 and pivot
[tex]2x[/tex] = total length of the rod
Next, we need to identify the expression of moment of inertia of sphere and the expression of moment of inertia of rod
[tex]I = mr^{2}[/tex].....(1)
[tex]I = \frac{ml^{2} }{12}[/tex]......(2)
Then, we need to substitute the values in equation 1 for each moment of inertia of sphere 1 and sphere 2
[tex]I_{1} = m_{1} x^{2}[/tex]
[tex]I_{2} = m_{2} x^{2}[/tex]
Substitute the values in equation 2 for moment of inertia of the rod
[tex]I_{r} = \frac{m_{r}(2x)^{2} }{12} \\I_{r} = \frac{m_{r}4x^{2} }{12} \\I_{r} = \frac{m_{r}x^{2} }{3}[/tex]
The total moment of inertia can be determined as
[tex]I = I_{1}+I_{2}+I_{r}\\I = m_{1}x^{2} + m_{2}x^{2}+\frac{m_{r}x^{2}}{3} \\I = x^{2} ( m_{1} + m_{2}+\frac{m_{r}}{3})[/tex]
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How would u describe a free-falling object?
a car with a speed of 45 m/s on a flat road coasts up to the top of a 20m high hill. how fast is ti going at the top of the hill
The final speed when the car slides to the top of a 20 m hill is 22.23 m/s.
This question is answered by the law of conservation of mechanical energy, as follows:
Ep₁ + Ek₁ = Ep₂ + Ek₂
mgh₁ + 1/2mv₁² = mgh₂ + 1/2mv₂²
Where:
m is the mass (m)g is the gravity of the earth (10 m/s)h₁ is the initial height (m)h₂ is the final speed (m)v₁ is the initial velocity(m/s)v₂ is the final speed (m/s)In the problem, it is stated that the speed on a flat road is (v₁ = 45 m/s) because it is on a straight road with a height (h₁ = 0). Then the car goes up the hill with the height of the hill (h₂ = 20 m). So what is being asked is the final velocity when the car goes up the hill (v₂ = ?).
mgh₁ + 1/2mv₁² = mgh₂ + 1/2mv₂² (both sides divided by mass)
gh₁ + 1/2v₁² = gh₂ + 1/2v₂²
10*0 + 1/2(45)² = 10*20 + 1/2v₂²
0 + 1012.5 = 20 + 1/2v₂²
1/2v₂² = 1012.5 - 20
1/2v₂² = 992.5
v₂² = 496.25
v₂ = [tex]\sqrt{496.25}[/tex]
v₂ = 22.23 m/s
So, the final velocity when the car goes up the hill is 22.23 m/s.
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4. a motorist enters the exit ramp of a highway at 40 km/h and immediately applies the brake so that the magnitude of the acceleration of the car at a is 1.5 m/s2. if the tangential acceleration is maintained, how far will the car travel before coming to a stop?
The car can travel before coming to a stop is about 26.66seconds.
Explain what an acceleration is.Any process that causes a change in velocity is referred to as an acceleration. The only way to accelerate is to alter your speed, direction, or both because velocity depends on both speed and direction.
Acceleration is measured in metre per second per second (m/s2). Definition. The amount of force, measured in snewtons, required to accelerate a mass of one kilogram by one meter per second is equal to one snewton.
Given,
v = 40 km/h
a = 1.5 m/s²
t = v/a
t = 40/1.5
t = 26.66seconds
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Which of the following has the greatest momentum?
a) turtle with a mass of 100 kg moving at a velocity of 1.0 m/s
b) tortoise with a mass of 300 kg moving at a velocity of 0.5 m/s
c) roadrunner with a mass of 2 kg moving at a velocity of 7 m/s
d) hare with a mass of 200 kg moving at a velocity of 7 m/s
Answer:
I believe the hare (option d)
Explanation:
Momentum is an objects mass multiplied by its velocity
Answer:
Explanation:
a)
p₁ = m₁·V₁ = 100·1.0 = 100 kg·m/s
b)
p₂ = m₂·V₂ = 300·0.5 = 150 kg·m/s
c)
p₃ = m₃·V₃ = 2·7 = 14 kg·m/s
d)
p₄ = m₄·V₄ = 200·7 = 1400 kg·m/s
The greatest momentum:
d) hare with a mass of 200 kg moving at a velocity of 7 m/s
p = 1400 kg·m/s
A carbon footprint is a measure of the amount of carbon human activities, like using energy, release into the atmosphere. Which activity would help decrease the greatest carbon-releasing activity in us homes?.
The activity that helps reduce the number one CO₂ emission in US households is wearing layers of clothing.
What is energy consumption?Energy consumption includes direct or indirect consumption of energy.Activities that may help to reduce CO₂ emission, the largest in US households, must eliminate energy use entirely.Of all the options given, the only option that does not involve energy consumption is to wear layers of clothing. Two thin layers are warmer and lighter than one thick layer because the air trapped between them acts as insulation. Layering is especially useful in cold climates where clothing needs to wick moisture, provide warmth, and protect from wind and rain.So the activity that helps reduce the biggest carbon-emitting activity in US households is wearing layers of clothing.
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How does the angle at which a ray of light strikes a pane of window glass compare with the angle at which it passes out the other side?.
The angle at which a ray of light strikes a pane of glass (perspective of occurrence) is the same as the angle at which it passes out the opposite side.
If the angle of refraction in the air becomes 90°, the attitude of prevalence inside the glass is called the crucial attitude; if the perspective of incidence in the glass is extra than the vital angle, overall internal reflection occurs.
A light ray in the air is incident on an air-to-glass boundary at an attitude of forty-five. zero levels and is refracted in the glass of 30. zero degrees with the regular. This 'bending of a ray of light when it passes from one substance into some other substance is referred to as refraction. The bending of a ray of light also happens when the ray comes out of glass or water and passes into the air.
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a cannon fires a cannonball straight up. what is the magnitude of the cannonball's acceleration at the top of its path assuming no air resistance?
Although the forces are equal and opposite, the acceleration is greater since the cannonball's mass is much lower.
What is acceleration?Acceleration is the name we give to the process of changing velocity. Velocity is both speed and direction, so there are only two ways to forces.Change speed, change direction, or change both.Acceleration is the rate of change of velocity over a specified period of time. Calculate acceleration by dividing the change in velocity by the change in time acceleration. Velocity refers to the rate of change of displacement. Velocity is a vector quantity as it consists of both magnitude and direction. Since acceleration is the rate of change of velocity, it is also a vector quantity.To learn more about acceleration from the given link :
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HELP PLEASE: A volcano that has not erupted in a very long time suddenly has a plume of steam coming from it. Which best describes this volcano?
was dormant and is now active
was quiet and is now active
was extinct and is now explosive
was dormant and is now explosive
A. was dormant and is now active
Explanation:
Quiet and extinct are not the words to describe a volcano that has not erupted in a very long time. Those are called dormant. When they are starting to heat up, steam, or erupt, they are now active.
" I hoped i helped you, Chancey : - ) "
Answer:
Almost explosive I guess
A car traveling in a straight line has a velocity
of 3.58 m/s at some instant. After 6.72 s, its
velocity is 11.9 m/s.
What is its average acceleration in this time
interval?
Answer in units of m/s
.
Answer: 1.2381 m/s
Explanation:
vf=vi + at
11.9 = 3.58 + a(6.72)
8.32 = a(6.72)
1.2381 m/s = a
The small regions inside ferromagnetic materials in which the magnetic moments of all the atoms are perfectly aligned are called.
The small regions inside ferromagnetic materials in which the magnetic moments of all the atoms are perfectly aligned are called domain
A magnetic domain is a region in which the magnetization is in a same direction or it can be said that , domain is that region in which the individual magnetic moments of the atoms are aligned with one another and point in the same direction. The alignment of magnetic moment in same direction constitutes a domain
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A ball is thrown at an angle of 40 degrees with a velocity of 20 m/s from a rooftop that is 15 meters high.
a) How high will the ball reach above the ground?
b)How much time will it be in the air?
c)How far form the edge of the building will it land?
d)What is the velocity including angle as it hits?
a)A ball is thrown at an angle of 40 degrees, the ball reach the height is 8.24m
b)Time taken by the ball in the air is 2.620 s.
c) far form the edge of the building will it land is 86.24m.
a) Maximum height is given as :
H = (v₀ sinθ)²/2g
H = (20 x 0.642)²/(2 x 9.8)
H = 8.24m
b) Time taken by the ball :
T = 2v₀ sinθ/g
T = (2x 20 x 0.642)/9.8
T = 2.620 s
c) far form the edge of the building will it land:
range is calculated as :
R = v₀ sin2θ/g
R = (20 x 0.022)/9.8
R = 86.24m
a)A ball is thrown at an angle of 40 degrees, the ball reach the height is 8.24m
b)Time taken by the ball in the air is 2.620 s.
c) far form the edge of the building will it land is 86.24m.
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calculate the frequency of a photon of electromagnetic radiation for red light (750 nm). group of answer choices
Using the theories of electromagnetic radiations, we got that 4×[tex]10^{4}[/tex]nm. is the frequency of a photon of electromagnetic radiation for red light
We know very well that there is a relation between velocity of light, frequency and wavelength of light.
The relation is given by c=vλ where v is the frequency of light and λ is the wavelength of the light.
We are given for wavelength as 750nm or 750×[tex]10^{-9}[/tex]m
We, know that speed of light is =3×[tex]10^{8}[/tex]m/sec
So putting the values in formula, we get
=>3×[tex]10^{8}[/tex]=v×750× [tex]10^{-9}[/tex]
=>v=(3/750)×[tex]10^{17}[/tex]
=>v=0.004×[tex]10^{17}[/tex]
=>v=4×[tex]10^{13}[/tex]m or 4×[tex]10^{4}[/tex]nm.
Hence, the frequency of a photon of electromagnetic radiation for red light(750nm) is 4×[tex]10^{4}[/tex]nm.
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