As stated in the preceding statement When braking, an automobile experiences an average force of 5,145.8 N.
Describe acceleration:An object is considered to have been pushed if its velocity changes. Depending on whether an item is moving faster, slower, or in a new direction, its velocity may change. Examples of acceleration include a falling fruit, the moon orbiting the earth, and an automobile that has stopped at a stop sign.
v = v o + a t ( the acceleration will be negative )
9.50 = 16.0 + a * 1.2
a * 1.2 = -16.0 + 9.50
a * 1.2 = - 6.5
a = - 6.5 : 1.2
a = - 5.4167 m/s²
F = m * a
950 kg * 5.4167 m/s²
F = 5,145.8 N ( the average force exerted on a car during braking )
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Lab motion
Table E: Average Speeds for Higher Racetrack
Time (Initial) |Time (Final) |Elapsed |Time |Average speed
| | | |
(s) (s) (s) (m/s)
1st ¼ of the Track
-------------------------------------------------------------------------------------------------------
2nd ¼ of the Track
-------------------------------------------------------------------------------------------------------
3rd ¼ of the Track
-------------------------------------------------------------------------------------------------------
Final ¼ of the Track
-------------------------------------------------------------------------------------------------------
R is the radius of speed curvature of the turn, g is the acceleration due to gravity, and μs is the coefficient of static friction.
θ is the angle of banking. For no slippage to occur even when the contribution of the frictional force in the centripetal force is not considered, we ignore the effect of friction and get the Time. Well, if the radius must be a single measurement, then the turn will be perpendicular.
While you're gathering necessary data, there's a discrepancy in your Average speed. Unless there are also tighter or unbanked turns, it's difficult to imagine the average speed=cornering speed.
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A single conservative force acting on a particle within a system varies as F=(−Ax+bx2)i^, where A and B are constants, F is in newtons, and x is in meters. (a) Calculate the potential energy function U(x) associated with this force for the system, taking U=0 at x=0. Find (b) the change in potential energy and (c) the change in kinetic energy of the system as the particle moves from x=2.00m to x=3.00m.
(a) The potential energy of the system to the conservative force acting on the particle, with Ui=0:
(b) From (a), U(2.00m)=2A–2.67B, and U(3.00m)=4.5A–9B.
ΔU=(4.5A−9B)−(2A−2.67B)=2.5A−6.33B
(c) For the entire system of which this particle is a member, this work is internal work and equal to the negative of the change in potential energy of the system: ΔK=−ΔU=−2.5A+6.33B.
Define kinetic energy?The ability of kinetic energy to perform work is arguably its most significant quality. Work is defined as a force operating on an object while it is moving. Energy and work are equivalent because of their tight relationship.It is described as the effort required to move a mass-based body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration, unless its speed changes.Thermal energy is also known as heat energy. The power behind motion is known as kinetic energy. Thermal energy is a type of kinetic energy because it is generated by moving particles.To learn more about kinetic energy refer to:
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A 30,000-kg freight car is coasting at 0.850 m/s with negligible friction under a hopper that dumps 110,000 kg of scrap metal into it. (a) What is the final velocity of the loaded freight car
The freight car which is being dumped into the metal scrap has the final velocity of 0.18 m/s.
In this problem, we use the principle of conservation of linear momentum.
Given that,
Mass of the freight car m₁ = 30,000 kg
Mass of the hopper m₂ = 110,000 kg
Velocity of the freight car u₁ = 0.85 m/s
Velocity of the hopper u₂ = 0
Let the velocity of the loaded freight car = v
We need to find out v.
m₁ u₁ + m₂ u₂ = ( m₁ + m₂) v
After putting the values into the equation above, we have,
30,000 × 0.85 + 110,000 × 0 = (30,000 + 110,000) v
140,000 v = 25500
v = 0.18 m/s
Thus, the required velocity of the loaded freight car is calculated to be 0.18 m/s.
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the goal of condensed matter physics is to explain all the properties of matter by its electronic configuration
The study of the macroscopic characteristics of materials is known as condensed matter physics.
It attempts to predict the collective behaviours of extremely large quantities of electrons, atoms, or molecules using the well-established rules of microscopic physics.
More unusual condensed phases include the Bose-Einstein condensate found in ultracold atomic systems, the ferromagnetic and antiferromagnetic phases of spins on crystal lattices of atoms, and the superconducting phase displayed by some materials at low temperatures. Condensed matter physicists use experiments to measure different material properties and mathematical models developed by using the physical laws of quantum mechanics, electromagnetism, statistical mechanics, and other theories to understand how these phases behave.
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a mass m is moving horizontally across a frictionless floor with velocity v. The mass now encounters
Option B is V2/Mg gives the total distance travelled by the mass before it is slowed to a stop by friction
The total distance traveled by the mass before it is slowed to a stop by friction can be determined by calculating the work done by the force of friction on the mass. As we have seen before, the force of friction acting on the mass is given by the equation F = friction = umg.
Now, the work done by the force of friction on the mass is given by W = Fd. Using the definition of force of friction and assuming that the final velocity of the mass is zero, we can write the following equation:
umgd = (1/2)mv^2
Dividing both sides by m*g and simplifying the equation we get:
d = (1/2) * u^-1 *v^2 /g
If we compare this expression with the options provided, we can see that it matches with option B: V^2/Mg. Therefore, the total distance traveled by the mass before it is slowed to a stop by friction is given by V^2/Mg.
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The complete question is :
With velocity, a mass moves horizontally along a nearly frictionless floor. The mass now comes into contact with a section of the floor that has a coefficient of kinetic friction equal to Which option gives the total distance travelled by the mass before it is slowed to a stop by friction?
Option A is 2V2/Mg.
Option B is V2/Mg
If an object takes 5 seconds to fall off a building, how high is the building?
For the segment AB in the bacterium's trajectory, calculate the x component of its velocity.
Express your answer in micrometers per second
UABx = 2o pm/s
For segment AB in the bacterium's trajectory, The x component of its velocity is 3.92m/s.
[tex]AB_X = 50um AB_Y = 10um[/tex]
[tex]AB =\sqrt{50^{2}+ 10^{2} } = 50.99um[/tex]
[tex]t = \frac{AB}{20} = 2.55[/tex]
[tex]V_ABY = \frac{AB_Y}{T}[/tex]
[tex]\frac{10}{2.55}[/tex] [tex]= 3.92m/s[/tex]
Speed is the directional pace of an item in motion as an illustration of its fee of change in position as discovered from a specific body of reference and as measured with the aid of a selected well-known time (e.g. 60 km/h northbound). speed is an essential idea in kinematics, the department of classical mechanics that describes the motion of our bodies.
Velocity is a physical vector quantity; both importance and route are had to define it. The scalar absolute value (significance) of velocity is known as pace, being a coherent derived unit whose amount is measured within the SI (metric system) as meters per 2d (m/s or m⋅s−1). as an example, "5 meters per 2d" is a scalar, whereas "5 meters in step with 2nd east" is a vector. If there's an exchange in speed, direction, or each, then the object is stated to be present process an acceleration.
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different between simple cell and dry cell
Answer:
Simple cell has liquid chemicals and it is difficult to carry from one place to another. Dry cell has no solution. So, it is easier to carry it from one place to another and there is no risk of spilling acid from the dry cell. So, dry cell is more useful than simple cell in our daily life.
A mass of 1.5 kg moves in a circle of radius 25 cm at 2.0 Hz. Calculate:
a) the velocity. b) the acceleration. c) the centripetal force acting on the mass.
Answer:
To solve this problem, you can use the following formulas:
Velocity (v) = 2πr * f
Acceleration (a) = v^2 / r
Centripetal force (F) = ma
In these formulas, r is the radius of the circle, f is the frequency of the circular motion, and m is the mass of the object.
a) To find the velocity of the mass, you can substitute the values given into the formula for velocity:
v = 2πr * f
= 2π(0.25 m) * 2.0 Hz
= 1.57 m/s
So, the velocity of the mass is approximately 1.57 m/s.
b) To find the acceleration of the mass, you can substitute the values given into the formula for acceleration:
a = v^2 / r
= (1.57 m/s)^2 / 0.25 m
= 4.45 m/s^2
So, the acceleration of the mass is approximately 4.45 m/s^2.
c) To find the centripetal force acting on the mass, you can substitute the values given into the formula for centripetal force:
F = ma
= 1.5 kg * 4.45 m/s^2
= 6.68 N
So, the centripetal force acting on the mass is approximately 6.68 newtons.
What are the similarities and differences between static stretching and dynamic stretching?
The similarities and differences between static stretching and dynamic stretching are the dynamic stretch is a style of stretching that is more strenuous and physically stimulating, while the static stretch is a form of stretching that is slower and more relaxing.
Another difference between static and dynamic stretching is that after a dynamic stretch, you may feel stronger and have more muscle endurance and speed, whereas static stretching before an exercise diminishes these same qualities; To get the most out of your workout, perform dynamic stretching before you begin, and static stretching afterward. Static and dynamic stretching have similar benefits in lowering the risk of injury by increasing flexibility, balance, and body awareness.
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If you rub an air filled balloon on your hair it is possible to stick on the wall and have it statically remain there. Explain how this is possible and be sure to answer the following questions in your explanation: (A) is the balloon a conductor or an insulator? (B) is the wall a conductor or an insulator?
The balloon will be drawn to the wall once it has been rubbed sufficiently to build up a sufficient negative charge. Even though the wall should generally be neutrally charged, its charges can change, causing a positively charged region to pull the negatively charged balloon toward it.
The balloon gains electrons when it is rubbed against your hair or a piece of wool cloth, making it negatively charged. Once charged, the two balloons will move away from one another because like charges repel and like charges attract (the paper will be attracted to the charged balloons.)The pull of an electrostatic force is what keeps the ball clinging to the wall.The balloon becomes charged when we rub it with a synthetic cloth, and when it is brought close to a wall, the electrostatic force causes it to be drawn to the neutral wall.To know more about conductor here
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A worker is testing a multiple pulley system to estimate the heaviest object that he could lift. The largest downward force he can exert is equal to his weight, 875 N. When the worker moves the rope 1. 5 m, the object moves 0. 25 m. What is the heaviest object that he could lift?
Force is positive if the mass accelerates downward. Use the formula T = M x A to determine the tension in the rope.
How is the force in a pulley system calculated?That direction is the pull that is referred to as tension. As a result, the tension will point toward the string or rope and away from the mass.
A mass suspended by a string is pulled upward by the string, exerting an upper force that shifts the tension to the upper side.
For instance, you should know that T = 9g x 2m/s2 = 18gm/s2 or 18N when trying to calculate T in a straightforward pulley system with a linked mass of 9g and an upward acceleration of 2m/s2 (newtons). The direction in which a string expands changes when it passes over an ideal massless pulley, but the string's tension is unaffected.
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a typical gps satellites orbit at an altitude of 2.0 x10^7 m. find (a) the orbital period, and (b) the orbital speed of such a satellite
the orbital period is 7200sec or 2hours and orbital speed is 7,27m/s
(a) The orbital period of a satellite is the time it takes for the satellite to make one full orbit around the Earth. To calculate the orbital period, we can use the equation: T = 2 * pi * (a^3/GM)^(1/2) where T is the orbital period, a is the semi-major axis of the orbit (which is equal to the altitude of the satellite), pi is approximately 3.14, G is the gravitational constant (approximately 6.67 x 10^-11 m^3/kgs^2), and M is the mass of the Earth (approximately 5.98 x 10^24 kg).Plugging in the given altitude of 2.0 x 10^7 m for a and the known values for pi, G, and M, we get:
T = 2 * pi * (2.0 x 10^7 m)^3/ (6.67 x 10^-11 m^3/kgs^2 * 5.98 x 10^24 kg)^(1/2)
Simplifying, we get:
T = 2 * pi * (8.0 x 10^21 m^3/ (4.03 x 10^34 kg*m^3/s^2))^(1/2)
T = 2 * pi * (1.98 x 10^13 s^2/kg)^(1/2)
T = 7200 sec (or 2 hours)
(b) The orbital speed is the distance traveled by the satellite in one hour. We can calculate the orbital speed using the equation v = 2πa/T
Plugging in the values of a and T we get :
v = 2π (2.0 x 10^7 m) / 7200 sec
v = 7,27 m/s
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Is it
-Claim
-CounterClaim
-Rebuttal
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters? (10 points)
a. 72 J
b. 100 J
c. 50 J
d. 600 J
Answer:
d. 600 J
Explanation:
You want to know the work done to lift a box using a lever with a mechanical advantage of 2, if the work required without the lever is 600 J.
LeverA lever trades force for distance. That is raising the box a distance of 6 m requires moving the lever arm a distance of 12 m, but only half the force is required. The product of force and distance is the same.
The total required work is unchanged: 600 J.
__
Additional comment
Actually, more work is required to lift the box using the lever. There is work applied to the box, and there is more work applied to moving the lever. (We have to assume a massless lever with no friction in these problems.)
8. An object was lifted to a height of 1234 cm. The object gained a gravitational potential energy of 4321 J. What was the mass of the object in grams?
9. An apple has a mass of 150g, when the apple is at a height of 1.9 m on an unknown planet, the apply has a GPE of 190 J, what is the value of gravity on the unknown planet?
10. A banana has a mass of 183g, when the apple is at a height of 2.8 m on an unknown planet, theapply has a GPE of 250 J. what is the value of gravity on the unknown planet?
a telescope searching for newly formed stars would make the most discoveries if it were pointed
Yes, the center of the Milky Way is the most densely populated area of stars, and is therefore the most likely region to find newly formed stars.
What is the populated?
Populated refers to an area that has a large number of people residing in it. It is usually used to describe cities, towns, or other densely populated areas. Populated areas usually contain a variety of services and infrastructure to support their populations, such as schools, hospitals, transport links, and other amenities. Populated areas usually have higher rates of crime, pollution, and other problems associated with increased human activity.Populated refers to an area that has a high density of people living in it. It is usually used to describe cities and towns, but can also describe smaller areas, like neighborhoods.
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When a motor vehicle strikes a tree while traveling at 40 mph, the unrestrained occupant:
A. is thrust under the steering column onto the floorboard.
B. remains in motion until acted upon by an external force.
C. will decelerate at the same rate as the motor vehicle.
D. will most likely be thrown over the steering column.
D. will most likely be thrown over the steering column. When an unrestrained occupant is in a motor vehicle that strikes a tree while traveling at 40 mph, the occupant will be thrown from the vehicle due to the force of the impact. Without a seatbelt, the occupant will be thrown forward over the steering column.
When a motor vehicle strikes a tree traveling at 40 mph, the unrestrained occupant will be thrown forward and over the steering column with a force that is greater than the force of the motor vehicle's deceleration. This is due to the fact that the occupant is not restrained and therefore is not held in place by the seatbelt, allowing them to travel at the same speed until acted upon by an external force.
When a motor vehicle strikes a tree traveling at 40 mph, the unrestrained occupant will be thrown forward and over the steering column with a force that is greater than the force of the motor vehicle's deceleration.
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If a dolphin is producing a vocalization with a frequency of 35 Hz, traveling at 1,470 m/s, what is the wavelength of the soun
According to the equation wavelength = speed/frequency, the dolphin's sound has a 42 m wavelength.
What does wavelength mean?The distance between two identification based (consecutive crests) in adjoining cycles of a waveform signal as it travels across space or along wire is known as its wavelength. In wireless systems, this length is frequently specified in metres (m), centimetres (cm), or millimeters (mm). The numbers of times per second that a sound waves wave repeats is its frequency, which is often referred to as its pitch.
Given data -
speed = 1,470 m/s
frequency = 35 Hz
wavelength = speed / frequency
wavelength = 1,470 / 35
wavelength = 42 m.
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PLEASE HELP!!!!! BRAINLIEST
Elena failed her algebra exam and blames her teacher for teaching the concepts poorly. How would attribution theory explain Elena's behavior?
Elena is making a fundamental attribution error because she is underestimating her own influence on the situation.
Elena is making a fundamental attribution error because she is underestimating her own influence on the situation.
Elena is using internal attribution because she is blaming events that were within her own control.
Elena is using internal attribution because she is blaming events that were within her own control.
Elena is using situational attribution because she is blaming events that were outside of her control.
Elena is using situational attribution because she is blaming events that were outside of her control.
Elena is making a dispositional attribution because she is assigning her teacher's behavior to her character
Elena is using situational attribution because she is blaming events that were outside of her control.
Attribution is a concept used in psychology to describe how people see the reasons of their daily experiences as either external or internal. Attribution theory refers to models that explain this process. To comprehend people's behaviour, we use attribution theory to assign sentiments and intentions to them. For example, when we witness someone ranting on public transportation, we may automatically use this notion. You may blame their personality, presuming they are an angry person.
Psychologists have discovered a number of biases in the way humans ascribe causality, particularly when engaging with others. The basic attribution mistake is defined as the propensity to credit dispositional or personality-based reasons for behaviour rather than taking into account environmental variables. We have a tendency to blame individuals for their own tragedies while blaming external forces for our own. Culture bias occurs when someone assumes anything about another person's conduct based on their own cultural customs and beliefs.
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Two waves meet while traveling through the same medium. The crests of wave one meet up with the crests of wave two. If wave one has an amplitude of 4 and wave two has an amplitude of 3, what is the amplitude of the wave resulting from the interference
If wave one has an amplitude of 4 and wave two has an amplitude of 3, what is the amplitude of the wave resulting from the interference
Equation Used
The resulting intensity is calculated as follows: I = (sqrt(I1)-sqrt(I2))2
3 variables and 1 function are used in this formula.
Used Functions
Square root function and sqrt (Number)
used variables
The effect of two intensities coming together is called the "resulting intensity" (measured in candela).
The energy that the first wave transfers over a surface of a given area in a unit of time is measured as intensity 1 (measured in candela), which is equal to the energy density times the wave speed.
The energy that the second wave transfers over a surface of a certain area in a unit of time is measured as intensity 2 (measured in candela), which is equal to the energy density times the wave speed.
No conversion is necessary for intensity 1: 4 candela to 4 candela.
Intensity 2: No Conversion Needed 3 Candela to 3 Candela
Replacement of Input Values in a Formula
I is equal to (sqrt(I1)-sqrt(I2))2 --> (sqrt(4)-sqrt(3)).
2 Assessing...…
I = 0.0717967697244909
Candela: 0.0717967697244909 No Conversion Is Necessary
RESULT 0.0717967697244909 A candela Outcome Intensity (Calculation completed in 00.016 seconds)
What is Wave Interference?
When two waves that are moving in opposite directions arrive at the same location simultaneously, interference results. The two waves will combine into a temporary, larger wave with an amplitude equal to the sum of their individual amplitudes if their crests and troughs completely line up. Constructive interference is what this is. On the other hand, if the crests of two waves coincide, they either combine to form a smaller wave or completely cancel each other out. We refer to this as destructive interference.
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Why is 90-degree angle important?
90-degree angles are used as reference points for measuring other angles and for defining trigonometric functions and vector relationships.
In trigonometry, the sine, cosine, and tangent functions are defined in terms of the ratios of the sides of a right triangle, where one angle is 90 degrees. In addition, in vector calculus, the dot product and cross product of two vectors are often defined in terms of the angle between the vectors, and a 90-degree angle represents a perpendicular or orthogonal relationship between the vectors. The 90-degree angle is also important in mechanics and engineering as it is used to define the concept of torque, which is the rotational equivalent of linear force. Torque is defined as the product of a force and the perpendicular distance from the line of action of the force to the axis of rotation. Furthermore, it is also used to define the concepts of stress, strain and moment of inertia in strength of materials and mechanics.
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The impulse that the pelton wheel applies to the water is ___ the change in momentum of the water after hitting the flat paddle wheel?
The impulse that the pelton wheel applies to the water is equal to the change in momentum of the water after hitting the flat paddle wheel.
What is the pelton wheel about?Impulse is a measure of the force applied to an object over a period of time, and it is equal to the change in momentum of the object.
In the case of the pelton wheel, the force is applied to the water by the flat paddle wheel, and the change in momentum of the water is the result of that force.
Therefore, The impulse of the pelton wheel is therefore equal to the change in momentum of the water after it hits the paddle wheel.
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A car moves in a straight line at 20.0 m/s for 8.00 miles, then at 30.0 m/s for another 8.00 miles. a. Is the car's average speed less than, greater than, or equal to 25.0 m/s
The average speed of the car is 24 m/s. The average speed of the car is therefore below 25.0 m/s.
What is speed ?The description of rapidity. a change in the location of an object in either direction or speed. How fast something is going is determined by the distance travelled and the time required to cover that distance. Speed is a scalar quantity since it just has an arrow-like direction and no magnitude.
What is distance ?The entire movement of an item, independent of direction, is called distance. Distance may be characterized as the quantity of ground covered, regardless of the starting or finishing points of an item.
distance (d) = 9 miles = 14.4841 km
d = 14484.1 m
1 miles = 1609.34 m
t₁= 14484.1/ 20
= 724.2 sec
t₂= 14484.1/ 30= 482.8 sec
total time ( t) = t+t
t= 724.2+ 482.8 = 1207 sec
Vavg = 2d/t= 2*14484.1/1207
Vavg = 24m/s
24< 25
lessthan 25m/s
car average speed (Vavg) = 24 m/s.
Therefore, the car average speed is 24 m/s.
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600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever
would have been used with an effort arm of 12 meters and a load arm of 6 meters? (1 point)
O 100 J
0 72 J
O 50 J
O 600 J
Accounting for things like how many team members should be assigned to a task, how many resources are required, how many hours tasks will take and more.
Why is it necessary for the effort arm to be longer than the load arm?When the effort arm is longer than the load arm, there is a significant mechanical advantage.The lever is made up of two “arms”: The load arm (also known as the output arm) is the portion of the lever that is directly attached to the load. The effort arm (or applied force arm) is the section of the lever to which the effort, or input force, is applied.
A= W P = 1 , Where W represents the load and P represents the effort. So, if we utilize one fixed pulley to raise the weight, the effort required will be 50 k g w t in one direction.
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How do you find torque with force and distance?
Torque = force x distance from point of rotation
Torque is a measure of the turning effect of an applied force about a specific point or axis. It is calculated by multiplying the force applied to an object by the distance from the point of rotation to the point where the force is applied. The greater the force or the longer the distance from the point of rotation, the greater the torque. The unit of torque is typically Newton-meters (N·m) in the International System of Units (SI) or pound-feet (lb·ft) in the imperial system. Torque is essential in various fields such as physics, mechanics, engineering and robotics.
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60 points!
What is the average time for the toy car to move 1.0 m on dirt?
21.2 s
22.4 s
23.1 s
63.7 s
Answer:
it should be 23.1
Explanation:
You have to look at the scale and then you calculate it
A proton moves at 3.80 105 m/s in the horizontal direction. It enters a uniform vertical electric field with a magnitude of 9.20 103 N/C. Ignore any gravitational effects. (a) Find the time interval required for the proton to travel 4.50 cm horizontally. 118.42 Correct: Your answer is correct. ns (b) Find its vertical displacement during the time interval in which it travels 4.50 cm horizontally. (Indicate direction with the sign of your answer.) mm (c) Find the horizontal and vertical components of its velocity after it has traveled 4.50 cm horizontally.
Answer:
(a) The time interval required for the proton to travel 4.50 cm horizontally is
t = (4.50 cm) / (3.80 x 105 m/s) = 118.42 ns
(b) The vertical displacement of the proton during the time interval is
dY = (F × t2) / 2m = (9.20 x 103 N/C × (118.42 ns)2) / (2 × 1.67 x 10-27 kg) = 0.0033 mm
(c) The horizontal and vertical components of the velocity after the proton has traveled 4.50 cm horizontally are
Vx = 3.80 x 105 m/s
Vy = (F × t) / m = (9.20 x 103 N/C × 118.42 ns) / (1.67 x 10-27 kg) = 1.90 x 105 m/s
a car with a mass of 900kg how many is the car weight on earth?
Answer:
9000N
Explanation:
gravitational field strength of earth is approximately 10N/kg .
900kg×10N/kg
=9000N
A body of mass 3kg is dropped from a tower of height 250m. then its kinetic energy after 3 seconds will be
Answer:The kinetic energy of an object is equal to its mass times the square of its velocity, divided by 2.
Explanation:
Since the body is dropped from a height, it initially has no velocity. As it falls, it will accelerate due to the force of gravity. The acceleration due to gravity is approximately 9.8 m/s^2.
After 3 seconds, the velocity of the body will be 3*9.8 = 29.4 m/s. The kinetic energy of the body will be:
KE = (3 kg) * (29.4 m/s)^2 / 2 = 849.56 J
This is the kinetic energy of the body after 3 seconds of falling.
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